Part2-2_Purchase_Analytics_Modelling_Purchase_Incidence.ipynb

{
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  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Customer Analytics in FMGC Industry (Part 2)\n",
    "#### by Sooyeon Won\n",
    "\n",
    "### Keywords \n",
    "\n",
    "- Marketing Mix \n",
    "- STP framework \n",
    "- Purchase Analytics \n",
    "- Predictive Analysis\n",
    "- Price Elasticity\n",
    "- Modeling Purchase Incidence\n",
    "\n",
    "### Contents \n",
    "\n",
    "<ul>\n",
    "<li><a href=\"#Introduction\">1. Introduction</a></li> \n",
    "<li><a href=\"#Preparation\">2. Data Preparation</a></li>\n",
    "<li><a href=\"#Exploration\">3. Data Exploration</a></li>\n",
    "<li><a href=\"#Analysis\">4. Data Analysis</a></li>\n",
    "&emsp;4.1. Customer Analytics<br>\n",
    "&emsp;4.2. Purchase Analytics <br>\n",
    "&emsp;&emsp;&emsp;i. Descriptive Analyses by Segment <br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; i-1. The Proportion of each Segment <br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; i-2. Purchase Occasions and Purchase Incidences <br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; i-3. Brand Chocie <br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; i-4. Revenue Comparison between segments <br>\n",
    "&emsp;&emsp;&emsp;ii. Predictive Analyses <br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; ii-1. Modeling Purchase Incidence<br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; ii-2. Modeling Brand Choice <br>\n",
    "&emsp;&emsp;&emsp;&emsp;&emsp; ii-3. Modeling Purchase Quantity <br>\n",
    "<li><a href=\"#Conclusion\">5. Conclusion</a></li>\n",
    "</ul>\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 4. Data Analysis\n",
    "### 4.2. Purchase Analytics\n",
    "- Data Preparation from Part 1\n",
    "- ii. Predictive Analyses <br>\n",
    "&emsp;&emsp;&emsp; **ii-1. Modeling Purchase Incidence**<br>\n",
    "&emsp;&emsp;&emsp; ii-2. Modeling Brand Choice <br>\n",
    "&emsp;&emsp;&emsp; ii-3. Modeling Purchase Quantity <br>\n",
    "\n",
    "### Data Preparation from Part 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import the relevant libraries \n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import matplotlib.pyplot as plt \n",
    "import matplotlib.axes as axs\n",
    "%matplotlib inline\n",
    "plt.rc(\"font\", size=14)\n",
    "import seaborn as sns\n",
    "sns.set()\n",
    "sns.set(style=\"whitegrid\", color_codes=True)\n",
    "\n",
    "from sklearn.preprocessing import StandardScaler \n",
    "from sklearn.decomposition import PCA \n",
    "from sklearn.cluster import KMeans \n",
    "\n",
    "# Import pickle in order to be able to load our pickled objects.\n",
    "import pickle"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Load data\n",
    "purchase_df = pd.read_csv('purchase data.csv', index_col = 0)\n",
    "\n",
    "# Import Scaler, PCA, K-Means\n",
    "scaler = pickle.load(open('scaler.pickle', 'rb'))\n",
    "pca = pickle.load(open('pca.pickle', 'rb'))\n",
    "kmeans_pca = pickle.load(open('kmeans_pca.pickle', 'rb'))\n",
    "\n",
    "# Standardisation\n",
    "features = purchase_df[['Sex', 'Marital status', 'Age', 'Education', 'Income', 'Occupation', 'Settlement size']]\n",
    "purchase_segm_std = scaler.transform(features)\n",
    "# Apply PCA\n",
    "purchase_segm_pca = pca.transform(purchase_segm_std)\n",
    "# Segment data\n",
    "purchase_segm_kmeans_pca = kmeans_pca.predict(purchase_segm_pca)\n",
    "\n",
    "# Create a copy of the data frame\n",
    "purchase_predictors = purchase_df.copy()\n",
    "\n",
    "# Add segment labels\n",
    "purchase_predictors['Segment'] = purchase_segm_kmeans_pca\n",
    "segment_dummies = pd.get_dummies(purchase_segm_kmeans_pca, prefix = 'Segment', prefix_sep = '_')\n",
    "purchase_predictors = purchase_predictors.reset_index()\n",
    "purchase_predictors = purchase_predictors.merge(segment_dummies, how='inner',\n",
    "                                                left_on = purchase_predictors.index,\n",
    "                                                right_on = segment_dummies.index)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "scrolled": true
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       "           Day  Incidence  Brand  Quantity  Last_Inc_Brand  Last_Inc_Quantity  \\\n",
       "ID                                                                              \n",
       "200000001    1          0      0         0               0                  0   \n",
       "200000001   11          0      0         0               0                  0   \n",
       "200000001   12          0      0         0               0                  0   \n",
       "200000001   16          0      0         0               0                  0   \n",
       "200000001   18          0      0         0               0                  0   \n",
       "\n",
       "           Price_1  Price_2  Price_3  Price_4  ...  Age  Education  Income  \\\n",
       "ID                                             ...                           \n",
       "200000001     1.59     1.87     2.01     2.09  ...   47          1  110866   \n",
       "200000001     1.51     1.89     1.99     2.09  ...   47          1  110866   \n",
       "200000001     1.51     1.89     1.99     2.09  ...   47          1  110866   \n",
       "200000001     1.52     1.89     1.98     2.09  ...   47          1  110866   \n",
       "200000001     1.52     1.89     1.99     2.09  ...   47          1  110866   \n",
       "\n",
       "           Occupation  Settlement size  Segment  Segment_0  Segment_1  \\\n",
       "ID                                                                      \n",
       "200000001           1                0        0          1          0   \n",
       "200000001           1                0        0          1          0   \n",
       "200000001           1                0        0          1          0   \n",
       "200000001           1                0        0          1          0   \n",
       "200000001           1                0        0          1          0   \n",
       "\n",
       "           Segment_2  Segment_3  \n",
       "ID                               \n",
       "200000001          0          0  \n",
       "200000001          0          0  \n",
       "200000001          0          0  \n",
       "200000001          0          0  \n",
       "200000001          0          0  \n",
       "\n",
       "[5 rows x 28 columns]"
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     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_pa = purchase_predictors.set_index('ID').iloc[:,1:].copy()\n",
    "df_pa.head() # Data is ready to conduct predictive analysis "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ii. Predictive Analysis \n",
    "In this section, I mainly conduct predictive analytics. Using supervised learning algorithm I estimated price elasticities and predict their effects on revenue.\n",
    "### ii-1. Modeling Purchase Incidence\n",
    "&emsp; - Purchase Probability Model <br>\n",
    "&emsp; - Price Elasticity of Purchase Probability <br>\n",
    "&emsp; - Purchase Elasticites by Segments <br>\n",
    "&emsp; - Purchase Probabilty with Promotion Feature  <br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Purchase Probability Model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import the Logistic Regression module from sk learn for the purchase probability model.\n",
    "from sklearn.linear_model import LogisticRegression "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set input and output variables in order to predict\n",
    "# Output is Incidence,  since I want to predict the purchase probability for the customers\n",
    "output = df_pa['Incidence'] \n",
    "# The input is based on the average price of chocolate candy bars. \n",
    "inputs = pd.DataFrame()\n",
    "inputs['Mean_Price'] =df_pa.iloc[:, 6:11].mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "LogisticRegression(solver='sag')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create a Logistic Regression model using sk-learn. Then we fit the model with our X or price and our Y or incidence.\n",
    "Logitmodel_purchase = LogisticRegression(solver = 'sag')\n",
    "Logitmodel_purchase.fit(inputs, output)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-2.34797846]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Logitmodel_purchase.coef_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The coefficient for price is negative, indicating that with an increase in price, the purchase probability decreases. Intuitively, a decrease in price would lead to an increase in purchase probability. This model quantifies the exact relationship between price and probability of purchase."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Price Elasticity of Purchase Probability \n",
    "\n",
    "In this section, I observed not only the direction, but also the magnitude of the effect of price on purchase probability, which is price elasticity. Price elasticity of purchase probability means the percentage change in purchase probability and response to a 1 % change in the respective aggregate price for the product category."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "      <th></th>\n",
       "      <th>Price_1</th>\n",
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       "      <td>58693.00</td>\n",
       "      <td>58693.00</td>\n",
       "      <td>58693.00</td>\n",
       "      <td>58693.00</td>\n",
       "      <td>58693.00</td>\n",
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       "      <th>mean</th>\n",
       "      <td>1.39</td>\n",
       "      <td>1.78</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.16</td>\n",
       "      <td>2.65</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>std</th>\n",
       "      <td>0.09</td>\n",
       "      <td>0.17</td>\n",
       "      <td>0.05</td>\n",
       "      <td>0.09</td>\n",
       "      <td>0.10</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>min</th>\n",
       "      <td>1.10</td>\n",
       "      <td>1.26</td>\n",
       "      <td>1.87</td>\n",
       "      <td>1.76</td>\n",
       "      <td>2.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>25%</th>\n",
       "      <td>1.34</td>\n",
       "      <td>1.58</td>\n",
       "      <td>1.97</td>\n",
       "      <td>2.12</td>\n",
       "      <td>2.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>50%</th>\n",
       "      <td>1.39</td>\n",
       "      <td>1.88</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.17</td>\n",
       "      <td>2.67</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>75%</th>\n",
       "      <td>1.47</td>\n",
       "      <td>1.89</td>\n",
       "      <td>2.06</td>\n",
       "      <td>2.24</td>\n",
       "      <td>2.70</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>max</th>\n",
       "      <td>1.59</td>\n",
       "      <td>1.90</td>\n",
       "      <td>2.14</td>\n",
       "      <td>2.26</td>\n",
       "      <td>2.80</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Price_1  Price_2  Price_3  Price_4  Price_5\n",
       "count 58693.00 58693.00 58693.00 58693.00 58693.00\n",
       "mean      1.39     1.78     2.01     2.16     2.65\n",
       "std       0.09     0.17     0.05     0.09     0.10\n",
       "min       1.10     1.26     1.87     1.76     2.11\n",
       "25%       1.34     1.58     1.97     2.12     2.63\n",
       "50%       1.39     1.88     2.01     2.17     2.67\n",
       "75%       1.47     1.89     2.06     2.24     2.70\n",
       "max       1.59     1.90     2.14     2.26     2.80"
      ]
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     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Turn off scientific notation in pandas \n",
    "pd.set_option('display.float_format', lambda x: '%.2f' % x)\n",
    "# Describe the prices for the five different brands, which is an important factor in determining purchase probability. \n",
    "# It informs the price range, for which we will be exploring purchase probability.\n",
    "df_pa[['Price_1', 'Price_2', 'Price_3', 'Price_4', 'Price_5']].describe()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> The minimum price of chocolates is 1.10 dollars and the maximum price is 2.80. I expand this price range somewhat to gain a better understanding of how the purchase probabilities and the respective elasticities change. in this analysis I chose the price range between\n",
    "0.5 and 3.5. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Introduce the price range in order to examine the purchase probability.\n",
    "# Note that the price range between 0.5 and 3.49, which somewhat expands the actual observed price range [1.1, 2.8].  \n",
    "price_range = np.arange(0.5, 3.5, 0.01)\n",
    "price_range_df = pd.DataFrame(price_range)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Predict the purchase probability for our newly defined price range. \n",
    "output_pred = Logitmodel_purchase.predict_proba(price_range_df)\n",
    "# The result is a 2x300  array. The first column shows the probability for not purchasing the product, \n",
    "# The second the probability for purchase for each price point in our price range.\n",
    "purchase_prob = output_pred[:][:, 1]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "[Price Elasticity - Reference](https://365datascience.com/price-elasticity/)\n",
    "$$ E = \\beta*price*(1-Pr(Purchase)) $$ \n",
    "\n",
    "The elasticities explains how does demand for the product change with a given change in price."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "price_elasticity = Logitmodel_purchase.coef_[:, 0] * price_range * (1 - purchase_prob)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "      <th>21</th>\n",
       "      <th>22</th>\n",
       "      <th>23</th>\n",
       "      <th>24</th>\n",
       "      <th>25</th>\n",
       "      <th>26</th>\n",
       "      <th>27</th>\n",
       "      <th>28</th>\n",
       "      <th>29</th>\n",
       "      <th>30</th>\n",
       "      <th>31</th>\n",
       "      <th>32</th>\n",
       "      <th>33</th>\n",
       "      <th>34</th>\n",
       "      <th>35</th>\n",
       "      <th>36</th>\n",
       "      <th>37</th>\n",
       "      <th>38</th>\n",
       "      <th>39</th>\n",
       "      <th>40</th>\n",
       "      <th>41</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "      <th>52</th>\n",
       "      <th>53</th>\n",
       "      <th>54</th>\n",
       "      <th>55</th>\n",
       "      <th>56</th>\n",
       "      <th>57</th>\n",
       "      <th>58</th>\n",
       "      <th>59</th>\n",
       "      <th>60</th>\n",
       "      <th>61</th>\n",
       "      <th>62</th>\n",
       "      <th>63</th>\n",
       "      <th>64</th>\n",
       "      <th>65</th>\n",
       "      <th>66</th>\n",
       "      <th>67</th>\n",
       "      <th>68</th>\n",
       "      <th>69</th>\n",
       "      <th>70</th>\n",
       "      <th>71</th>\n",
       "      <th>72</th>\n",
       "      <th>73</th>\n",
       "      <th>74</th>\n",
       "      <th>75</th>\n",
       "      <th>76</th>\n",
       "      <th>77</th>\n",
       "      <th>78</th>\n",
       "      <th>79</th>\n",
       "      <th>80</th>\n",
       "      <th>81</th>\n",
       "      <th>82</th>\n",
       "      <th>83</th>\n",
       "      <th>84</th>\n",
       "      <th>85</th>\n",
       "      <th>86</th>\n",
       "      <th>87</th>\n",
       "      <th>88</th>\n",
       "      <th>89</th>\n",
       "      <th>90</th>\n",
       "      <th>91</th>\n",
       "      <th>92</th>\n",
       "      <th>93</th>\n",
       "      <th>94</th>\n",
       "      <th>95</th>\n",
       "      <th>96</th>\n",
       "      <th>97</th>\n",
       "      <th>98</th>\n",
       "      <th>99</th>\n",
       "      <th>100</th>\n",
       "      <th>101</th>\n",
       "      <th>102</th>\n",
       "      <th>103</th>\n",
       "      <th>104</th>\n",
       "      <th>105</th>\n",
       "      <th>106</th>\n",
       "      <th>107</th>\n",
       "      <th>108</th>\n",
       "      <th>109</th>\n",
       "      <th>110</th>\n",
       "      <th>111</th>\n",
       "      <th>112</th>\n",
       "      <th>113</th>\n",
       "      <th>114</th>\n",
       "      <th>115</th>\n",
       "      <th>116</th>\n",
       "      <th>117</th>\n",
       "      <th>118</th>\n",
       "      <th>119</th>\n",
       "      <th>120</th>\n",
       "      <th>121</th>\n",
       "      <th>122</th>\n",
       "      <th>123</th>\n",
       "      <th>124</th>\n",
       "      <th>125</th>\n",
       "      <th>126</th>\n",
       "      <th>127</th>\n",
       "      <th>128</th>\n",
       "      <th>129</th>\n",
       "      <th>130</th>\n",
       "      <th>131</th>\n",
       "      <th>132</th>\n",
       "      <th>133</th>\n",
       "      <th>134</th>\n",
       "      <th>135</th>\n",
       "      <th>136</th>\n",
       "      <th>137</th>\n",
       "      <th>138</th>\n",
       "      <th>139</th>\n",
       "      <th>140</th>\n",
       "      <th>141</th>\n",
       "      <th>142</th>\n",
       "      <th>143</th>\n",
       "      <th>144</th>\n",
       "      <th>145</th>\n",
       "      <th>146</th>\n",
       "      <th>147</th>\n",
       "      <th>148</th>\n",
       "      <th>149</th>\n",
       "      <th>150</th>\n",
       "      <th>151</th>\n",
       "      <th>152</th>\n",
       "      <th>153</th>\n",
       "      <th>154</th>\n",
       "      <th>155</th>\n",
       "      <th>156</th>\n",
       "      <th>157</th>\n",
       "      <th>158</th>\n",
       "      <th>159</th>\n",
       "      <th>160</th>\n",
       "      <th>161</th>\n",
       "      <th>162</th>\n",
       "      <th>163</th>\n",
       "      <th>164</th>\n",
       "      <th>165</th>\n",
       "      <th>166</th>\n",
       "      <th>167</th>\n",
       "      <th>168</th>\n",
       "      <th>169</th>\n",
       "      <th>170</th>\n",
       "      <th>171</th>\n",
       "      <th>172</th>\n",
       "      <th>173</th>\n",
       "      <th>174</th>\n",
       "      <th>175</th>\n",
       "      <th>176</th>\n",
       "      <th>177</th>\n",
       "      <th>178</th>\n",
       "      <th>179</th>\n",
       "      <th>180</th>\n",
       "      <th>181</th>\n",
       "      <th>182</th>\n",
       "      <th>183</th>\n",
       "      <th>184</th>\n",
       "      <th>185</th>\n",
       "      <th>186</th>\n",
       "      <th>187</th>\n",
       "      <th>188</th>\n",
       "      <th>189</th>\n",
       "      <th>190</th>\n",
       "      <th>191</th>\n",
       "      <th>192</th>\n",
       "      <th>193</th>\n",
       "      <th>194</th>\n",
       "      <th>195</th>\n",
       "      <th>196</th>\n",
       "      <th>197</th>\n",
       "      <th>198</th>\n",
       "      <th>199</th>\n",
       "      <th>200</th>\n",
       "      <th>201</th>\n",
       "      <th>202</th>\n",
       "      <th>203</th>\n",
       "      <th>204</th>\n",
       "      <th>205</th>\n",
       "      <th>206</th>\n",
       "      <th>207</th>\n",
       "      <th>208</th>\n",
       "      <th>209</th>\n",
       "      <th>210</th>\n",
       "      <th>211</th>\n",
       "      <th>212</th>\n",
       "      <th>213</th>\n",
       "      <th>214</th>\n",
       "      <th>215</th>\n",
       "      <th>216</th>\n",
       "      <th>217</th>\n",
       "      <th>218</th>\n",
       "      <th>219</th>\n",
       "      <th>220</th>\n",
       "      <th>221</th>\n",
       "      <th>222</th>\n",
       "      <th>223</th>\n",
       "      <th>224</th>\n",
       "      <th>225</th>\n",
       "      <th>226</th>\n",
       "      <th>227</th>\n",
       "      <th>228</th>\n",
       "      <th>229</th>\n",
       "      <th>230</th>\n",
       "      <th>231</th>\n",
       "      <th>232</th>\n",
       "      <th>233</th>\n",
       "      <th>234</th>\n",
       "      <th>235</th>\n",
       "      <th>236</th>\n",
       "      <th>237</th>\n",
       "      <th>238</th>\n",
       "      <th>239</th>\n",
       "      <th>240</th>\n",
       "      <th>241</th>\n",
       "      <th>242</th>\n",
       "      <th>243</th>\n",
       "      <th>244</th>\n",
       "      <th>245</th>\n",
       "      <th>246</th>\n",
       "      <th>247</th>\n",
       "      <th>248</th>\n",
       "      <th>249</th>\n",
       "      <th>250</th>\n",
       "      <th>251</th>\n",
       "      <th>252</th>\n",
       "      <th>253</th>\n",
       "      <th>254</th>\n",
       "      <th>255</th>\n",
       "      <th>256</th>\n",
       "      <th>257</th>\n",
       "      <th>258</th>\n",
       "      <th>259</th>\n",
       "      <th>260</th>\n",
       "      <th>261</th>\n",
       "      <th>262</th>\n",
       "      <th>263</th>\n",
       "      <th>264</th>\n",
       "      <th>265</th>\n",
       "      <th>266</th>\n",
       "      <th>267</th>\n",
       "      <th>268</th>\n",
       "      <th>269</th>\n",
       "      <th>270</th>\n",
       "      <th>271</th>\n",
       "      <th>272</th>\n",
       "      <th>273</th>\n",
       "      <th>274</th>\n",
       "      <th>275</th>\n",
       "      <th>276</th>\n",
       "      <th>277</th>\n",
       "      <th>278</th>\n",
       "      <th>279</th>\n",
       "      <th>280</th>\n",
       "      <th>281</th>\n",
       "      <th>282</th>\n",
       "      <th>283</th>\n",
       "      <th>284</th>\n",
       "      <th>285</th>\n",
       "      <th>286</th>\n",
       "      <th>287</th>\n",
       "      <th>288</th>\n",
       "      <th>289</th>\n",
       "      <th>290</th>\n",
       "      <th>291</th>\n",
       "      <th>292</th>\n",
       "      <th>293</th>\n",
       "      <th>294</th>\n",
       "      <th>295</th>\n",
       "      <th>296</th>\n",
       "      <th>297</th>\n",
       "      <th>298</th>\n",
       "      <th>299</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Price_Point</th>\n",
       "      <td>0.50</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.52</td>\n",
       "      <td>0.53</td>\n",
       "      <td>0.54</td>\n",
       "      <td>0.55</td>\n",
       "      <td>0.56</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.59</td>\n",
       "      <td>0.60</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.65</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.67</td>\n",
       "      <td>0.68</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.71</td>\n",
       "      <td>0.72</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.74</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.78</td>\n",
       "      <td>0.79</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.82</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.89</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.99</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.01</td>\n",
       "      <td>1.02</td>\n",
       "      <td>1.03</td>\n",
       "      <td>1.04</td>\n",
       "      <td>1.05</td>\n",
       "      <td>1.06</td>\n",
       "      <td>1.07</td>\n",
       "      <td>1.08</td>\n",
       "      <td>1.09</td>\n",
       "      <td>1.10</td>\n",
       "      <td>1.11</td>\n",
       "      <td>1.12</td>\n",
       "      <td>1.13</td>\n",
       "      <td>1.14</td>\n",
       "      <td>1.15</td>\n",
       "      <td>1.16</td>\n",
       "      <td>1.17</td>\n",
       "      <td>1.18</td>\n",
       "      <td>1.19</td>\n",
       "      <td>1.20</td>\n",
       "      <td>1.21</td>\n",
       "      <td>1.22</td>\n",
       "      <td>1.23</td>\n",
       "      <td>1.24</td>\n",
       "      <td>1.25</td>\n",
       "      <td>1.26</td>\n",
       "      <td>1.27</td>\n",
       "      <td>1.28</td>\n",
       "      <td>1.29</td>\n",
       "      <td>1.30</td>\n",
       "      <td>1.31</td>\n",
       "      <td>1.32</td>\n",
       "      <td>1.33</td>\n",
       "      <td>1.34</td>\n",
       "      <td>1.35</td>\n",
       "      <td>1.36</td>\n",
       "      <td>1.37</td>\n",
       "      <td>1.38</td>\n",
       "      <td>1.39</td>\n",
       "      <td>1.40</td>\n",
       "      <td>1.41</td>\n",
       "      <td>1.42</td>\n",
       "      <td>1.43</td>\n",
       "      <td>1.44</td>\n",
       "      <td>1.45</td>\n",
       "      <td>1.46</td>\n",
       "      <td>1.47</td>\n",
       "      <td>1.48</td>\n",
       "      <td>1.49</td>\n",
       "      <td>1.50</td>\n",
       "      <td>1.51</td>\n",
       "      <td>1.52</td>\n",
       "      <td>1.53</td>\n",
       "      <td>1.54</td>\n",
       "      <td>1.55</td>\n",
       "      <td>1.56</td>\n",
       "      <td>1.57</td>\n",
       "      <td>1.58</td>\n",
       "      <td>1.59</td>\n",
       "      <td>1.60</td>\n",
       "      <td>1.61</td>\n",
       "      <td>1.62</td>\n",
       "      <td>1.63</td>\n",
       "      <td>1.64</td>\n",
       "      <td>1.65</td>\n",
       "      <td>1.66</td>\n",
       "      <td>1.67</td>\n",
       "      <td>1.68</td>\n",
       "      <td>1.69</td>\n",
       "      <td>1.70</td>\n",
       "      <td>1.71</td>\n",
       "      <td>1.72</td>\n",
       "      <td>1.73</td>\n",
       "      <td>1.74</td>\n",
       "      <td>1.75</td>\n",
       "      <td>1.76</td>\n",
       "      <td>1.77</td>\n",
       "      <td>1.78</td>\n",
       "      <td>1.79</td>\n",
       "      <td>1.80</td>\n",
       "      <td>1.81</td>\n",
       "      <td>1.82</td>\n",
       "      <td>1.83</td>\n",
       "      <td>1.84</td>\n",
       "      <td>1.85</td>\n",
       "      <td>1.86</td>\n",
       "      <td>1.87</td>\n",
       "      <td>1.88</td>\n",
       "      <td>1.89</td>\n",
       "      <td>1.90</td>\n",
       "      <td>1.91</td>\n",
       "      <td>1.92</td>\n",
       "      <td>1.93</td>\n",
       "      <td>1.94</td>\n",
       "      <td>1.95</td>\n",
       "      <td>1.96</td>\n",
       "      <td>1.97</td>\n",
       "      <td>1.98</td>\n",
       "      <td>1.99</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.02</td>\n",
       "      <td>2.03</td>\n",
       "      <td>2.04</td>\n",
       "      <td>2.05</td>\n",
       "      <td>2.06</td>\n",
       "      <td>2.07</td>\n",
       "      <td>2.08</td>\n",
       "      <td>2.09</td>\n",
       "      <td>2.10</td>\n",
       "      <td>2.11</td>\n",
       "      <td>2.12</td>\n",
       "      <td>2.13</td>\n",
       "      <td>2.14</td>\n",
       "      <td>2.15</td>\n",
       "      <td>2.16</td>\n",
       "      <td>2.17</td>\n",
       "      <td>2.18</td>\n",
       "      <td>2.19</td>\n",
       "      <td>2.20</td>\n",
       "      <td>2.21</td>\n",
       "      <td>2.22</td>\n",
       "      <td>2.23</td>\n",
       "      <td>2.24</td>\n",
       "      <td>2.25</td>\n",
       "      <td>2.26</td>\n",
       "      <td>2.27</td>\n",
       "      <td>2.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>2.30</td>\n",
       "      <td>2.31</td>\n",
       "      <td>2.32</td>\n",
       "      <td>2.33</td>\n",
       "      <td>2.34</td>\n",
       "      <td>2.35</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.37</td>\n",
       "      <td>2.38</td>\n",
       "      <td>2.39</td>\n",
       "      <td>2.40</td>\n",
       "      <td>2.41</td>\n",
       "      <td>2.42</td>\n",
       "      <td>2.43</td>\n",
       "      <td>2.44</td>\n",
       "      <td>2.45</td>\n",
       "      <td>2.46</td>\n",
       "      <td>2.47</td>\n",
       "      <td>2.48</td>\n",
       "      <td>2.49</td>\n",
       "      <td>2.50</td>\n",
       "      <td>2.51</td>\n",
       "      <td>2.52</td>\n",
       "      <td>2.53</td>\n",
       "      <td>2.54</td>\n",
       "      <td>2.55</td>\n",
       "      <td>2.56</td>\n",
       "      <td>2.57</td>\n",
       "      <td>2.58</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.60</td>\n",
       "      <td>2.61</td>\n",
       "      <td>2.62</td>\n",
       "      <td>2.63</td>\n",
       "      <td>2.64</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.66</td>\n",
       "      <td>2.67</td>\n",
       "      <td>2.68</td>\n",
       "      <td>2.69</td>\n",
       "      <td>2.70</td>\n",
       "      <td>2.71</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2.73</td>\n",
       "      <td>2.74</td>\n",
       "      <td>2.75</td>\n",
       "      <td>2.76</td>\n",
       "      <td>2.77</td>\n",
       "      <td>2.78</td>\n",
       "      <td>2.79</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.81</td>\n",
       "      <td>2.82</td>\n",
       "      <td>2.83</td>\n",
       "      <td>2.84</td>\n",
       "      <td>2.85</td>\n",
       "      <td>2.86</td>\n",
       "      <td>2.87</td>\n",
       "      <td>2.88</td>\n",
       "      <td>2.89</td>\n",
       "      <td>2.90</td>\n",
       "      <td>2.91</td>\n",
       "      <td>2.92</td>\n",
       "      <td>2.93</td>\n",
       "      <td>2.94</td>\n",
       "      <td>2.95</td>\n",
       "      <td>2.96</td>\n",
       "      <td>2.97</td>\n",
       "      <td>2.98</td>\n",
       "      <td>2.99</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.01</td>\n",
       "      <td>3.02</td>\n",
       "      <td>3.03</td>\n",
       "      <td>3.04</td>\n",
       "      <td>3.05</td>\n",
       "      <td>3.06</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.09</td>\n",
       "      <td>3.10</td>\n",
       "      <td>3.11</td>\n",
       "      <td>3.12</td>\n",
       "      <td>3.13</td>\n",
       "      <td>3.14</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.16</td>\n",
       "      <td>3.17</td>\n",
       "      <td>3.18</td>\n",
       "      <td>3.19</td>\n",
       "      <td>3.20</td>\n",
       "      <td>3.21</td>\n",
       "      <td>3.22</td>\n",
       "      <td>3.23</td>\n",
       "      <td>3.24</td>\n",
       "      <td>3.25</td>\n",
       "      <td>3.26</td>\n",
       "      <td>3.27</td>\n",
       "      <td>3.28</td>\n",
       "      <td>3.29</td>\n",
       "      <td>3.30</td>\n",
       "      <td>3.31</td>\n",
       "      <td>3.32</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.34</td>\n",
       "      <td>3.35</td>\n",
       "      <td>3.36</td>\n",
       "      <td>3.37</td>\n",
       "      <td>3.38</td>\n",
       "      <td>3.39</td>\n",
       "      <td>3.40</td>\n",
       "      <td>3.41</td>\n",
       "      <td>3.42</td>\n",
       "      <td>3.43</td>\n",
       "      <td>3.44</td>\n",
       "      <td>3.45</td>\n",
       "      <td>3.46</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.48</td>\n",
       "      <td>3.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mean_PE</th>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.10</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.23</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-1.43</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>-1.52</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.58</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>-1.87</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.04</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.21</td>\n",
       "      <td>-2.25</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.39</td>\n",
       "      <td>-2.43</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.58</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-2.92</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.15</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.22</td>\n",
       "      <td>-3.26</td>\n",
       "      <td>-3.30</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.38</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.45</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.53</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.64</td>\n",
       "      <td>-3.68</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.83</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.17</td>\n",
       "      <td>-4.21</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.28</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.35</td>\n",
       "      <td>-4.39</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.46</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.71</td>\n",
       "      <td>-4.75</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-4.82</td>\n",
       "      <td>-4.85</td>\n",
       "      <td>-4.89</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.96</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.02</td>\n",
       "      <td>-5.06</td>\n",
       "      <td>-5.09</td>\n",
       "      <td>-5.13</td>\n",
       "      <td>-5.16</td>\n",
       "      <td>-5.19</td>\n",
       "      <td>-5.23</td>\n",
       "      <td>-5.26</td>\n",
       "      <td>-5.29</td>\n",
       "      <td>-5.33</td>\n",
       "      <td>-5.36</td>\n",
       "      <td>-5.39</td>\n",
       "      <td>-5.42</td>\n",
       "      <td>-5.46</td>\n",
       "      <td>-5.49</td>\n",
       "      <td>-5.52</td>\n",
       "      <td>-5.55</td>\n",
       "      <td>-5.59</td>\n",
       "      <td>-5.62</td>\n",
       "      <td>-5.65</td>\n",
       "      <td>-5.68</td>\n",
       "      <td>-5.71</td>\n",
       "      <td>-5.74</td>\n",
       "      <td>-5.77</td>\n",
       "      <td>-5.81</td>\n",
       "      <td>-5.84</td>\n",
       "      <td>-5.87</td>\n",
       "      <td>-5.90</td>\n",
       "      <td>-5.93</td>\n",
       "      <td>-5.96</td>\n",
       "      <td>-5.99</td>\n",
       "      <td>-6.02</td>\n",
       "      <td>-6.05</td>\n",
       "      <td>-6.08</td>\n",
       "      <td>-6.11</td>\n",
       "      <td>-6.14</td>\n",
       "      <td>-6.17</td>\n",
       "      <td>-6.20</td>\n",
       "      <td>-6.23</td>\n",
       "      <td>-6.26</td>\n",
       "      <td>-6.29</td>\n",
       "      <td>-6.32</td>\n",
       "      <td>-6.35</td>\n",
       "      <td>-6.38</td>\n",
       "      <td>-6.40</td>\n",
       "      <td>-6.43</td>\n",
       "      <td>-6.46</td>\n",
       "      <td>-6.49</td>\n",
       "      <td>-6.52</td>\n",
       "      <td>-6.55</td>\n",
       "      <td>-6.58</td>\n",
       "      <td>-6.60</td>\n",
       "      <td>-6.63</td>\n",
       "      <td>-6.66</td>\n",
       "      <td>-6.69</td>\n",
       "      <td>-6.72</td>\n",
       "      <td>-6.75</td>\n",
       "      <td>-6.77</td>\n",
       "      <td>-6.80</td>\n",
       "      <td>-6.83</td>\n",
       "      <td>-6.86</td>\n",
       "      <td>-6.88</td>\n",
       "      <td>-6.91</td>\n",
       "      <td>-6.94</td>\n",
       "      <td>-6.97</td>\n",
       "      <td>-6.99</td>\n",
       "      <td>-7.02</td>\n",
       "      <td>-7.05</td>\n",
       "      <td>-7.07</td>\n",
       "      <td>-7.10</td>\n",
       "      <td>-7.13</td>\n",
       "      <td>-7.16</td>\n",
       "      <td>-7.18</td>\n",
       "      <td>-7.21</td>\n",
       "      <td>-7.24</td>\n",
       "      <td>-7.26</td>\n",
       "      <td>-7.29</td>\n",
       "      <td>-7.32</td>\n",
       "      <td>-7.34</td>\n",
       "      <td>-7.37</td>\n",
       "      <td>-7.39</td>\n",
       "      <td>-7.42</td>\n",
       "      <td>-7.45</td>\n",
       "      <td>-7.47</td>\n",
       "      <td>-7.50</td>\n",
       "      <td>-7.53</td>\n",
       "      <td>-7.55</td>\n",
       "      <td>-7.58</td>\n",
       "      <td>-7.60</td>\n",
       "      <td>-7.63</td>\n",
       "      <td>-7.66</td>\n",
       "      <td>-7.68</td>\n",
       "      <td>-7.71</td>\n",
       "      <td>-7.73</td>\n",
       "      <td>-7.76</td>\n",
       "      <td>-7.78</td>\n",
       "      <td>-7.81</td>\n",
       "      <td>-7.83</td>\n",
       "      <td>-7.86</td>\n",
       "      <td>-7.89</td>\n",
       "      <td>-7.91</td>\n",
       "      <td>-7.94</td>\n",
       "      <td>-7.96</td>\n",
       "      <td>-7.99</td>\n",
       "      <td>-8.01</td>\n",
       "      <td>-8.04</td>\n",
       "      <td>-8.06</td>\n",
       "      <td>-8.09</td>\n",
       "      <td>-8.11</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              0     1     2     3     4     5     6     7     8     9     10   \\\n",
       "Price_Point  0.50  0.51  0.52  0.53  0.54  0.55  0.56  0.57  0.58  0.59  0.60   \n",
       "Mean_PE     -0.10 -0.10 -0.10 -0.11 -0.11 -0.12 -0.12 -0.13 -0.13 -0.14 -0.14   \n",
       "\n",
       "              11    12    13    14    15    16    17    18    19    20    21   \\\n",
       "Price_Point  0.61  0.62  0.63  0.64  0.65  0.66  0.67  0.68  0.69  0.70  0.71   \n",
       "Mean_PE     -0.15 -0.15 -0.16 -0.17 -0.17 -0.18 -0.19 -0.19 -0.20 -0.21 -0.21   \n",
       "\n",
       "              22    23    24    25    26    27    28    29    30    31    32   \\\n",
       "Price_Point  0.72  0.73  0.74  0.75  0.76  0.77  0.78  0.79  0.80  0.81  0.82   \n",
       "Mean_PE     -0.22 -0.23 -0.24 -0.24 -0.25 -0.26 -0.27 -0.28 -0.29 -0.30 -0.31   \n",
       "\n",
       "              33    34    35    36    37    38    39    40    41    42    43   \\\n",
       "Price_Point  0.83  0.84  0.85  0.86  0.87  0.88  0.89  0.90  0.91  0.92  0.93   \n",
       "Mean_PE     -0.32 -0.33 -0.34 -0.35 -0.36 -0.37 -0.38 -0.39 -0.41 -0.42 -0.43   \n",
       "\n",
       "              44    45    46    47    48    49    50    51    52    53    54   \\\n",
       "Price_Point  0.94  0.95  0.96  0.97  0.98  0.99  1.00  1.01  1.02  1.03  1.04   \n",
       "Mean_PE     -0.44 -0.46 -0.47 -0.48 -0.50 -0.51 -0.53 -0.54 -0.56 -0.57 -0.59   \n",
       "\n",
       "              55    56    57    58    59    60    61    62    63    64    65   \\\n",
       "Price_Point  1.05  1.06  1.07  1.08  1.09  1.10  1.11  1.12  1.13  1.14  1.15   \n",
       "Mean_PE     -0.61 -0.62 -0.64 -0.66 -0.67 -0.69 -0.71 -0.73 -0.75 -0.77 -0.79   \n",
       "\n",
       "              66    67    68    69    70    71    72    73    74    75    76   \\\n",
       "Price_Point  1.16  1.17  1.18  1.19  1.20  1.21  1.22  1.23  1.24  1.25  1.26   \n",
       "Mean_PE     -0.81 -0.83 -0.85 -0.87 -0.89 -0.91 -0.94 -0.96 -0.98 -1.00 -1.03   \n",
       "\n",
       "              77    78    79    80    81    82    83    84    85    86    87   \\\n",
       "Price_Point  1.27  1.28  1.29  1.30  1.31  1.32  1.33  1.34  1.35  1.36  1.37   \n",
       "Mean_PE     -1.05 -1.08 -1.10 -1.13 -1.15 -1.18 -1.20 -1.23 -1.26 -1.29 -1.31   \n",
       "\n",
       "              88    89    90    91    92    93    94    95    96    97    98   \\\n",
       "Price_Point  1.38  1.39  1.40  1.41  1.42  1.43  1.44  1.45  1.46  1.47  1.48   \n",
       "Mean_PE     -1.34 -1.37 -1.40 -1.43 -1.46 -1.49 -1.52 -1.55 -1.58 -1.61 -1.64   \n",
       "\n",
       "              99    100   101   102   103   104   105   106   107   108   109  \\\n",
       "Price_Point  1.49  1.50  1.51  1.52  1.53  1.54  1.55  1.56  1.57  1.58  1.59   \n",
       "Mean_PE     -1.67 -1.70 -1.73 -1.77 -1.80 -1.83 -1.87 -1.90 -1.93 -1.97 -2.00   \n",
       "\n",
       "              110   111   112   113   114   115   116   117   118   119   120  \\\n",
       "Price_Point  1.60  1.61  1.62  1.63  1.64  1.65  1.66  1.67  1.68  1.69  1.70   \n",
       "Mean_PE     -2.04 -2.07 -2.11 -2.14 -2.18 -2.21 -2.25 -2.28 -2.32 -2.36 -2.39   \n",
       "\n",
       "              121   122   123   124   125   126   127   128   129   130   131  \\\n",
       "Price_Point  1.71  1.72  1.73  1.74  1.75  1.76  1.77  1.78  1.79  1.80  1.81   \n",
       "Mean_PE     -2.43 -2.47 -2.50 -2.54 -2.58 -2.61 -2.65 -2.69 -2.73 -2.77 -2.80   \n",
       "\n",
       "              132   133   134   135   136   137   138   139   140   141   142  \\\n",
       "Price_Point  1.82  1.83  1.84  1.85  1.86  1.87  1.88  1.89  1.90  1.91  1.92   \n",
       "Mean_PE     -2.84 -2.88 -2.92 -2.96 -2.99 -3.03 -3.07 -3.11 -3.15 -3.18 -3.22   \n",
       "\n",
       "              143   144   145   146   147   148   149   150   151   152   153  \\\n",
       "Price_Point  1.93  1.94  1.95  1.96  1.97  1.98  1.99  2.00  2.01  2.02  2.03   \n",
       "Mean_PE     -3.26 -3.30 -3.34 -3.38 -3.42 -3.45 -3.49 -3.53 -3.57 -3.61 -3.64   \n",
       "\n",
       "              154   155   156   157   158   159   160   161   162   163   164  \\\n",
       "Price_Point  2.04  2.05  2.06  2.07  2.08  2.09  2.10  2.11  2.12  2.13  2.14   \n",
       "Mean_PE     -3.68 -3.72 -3.76 -3.80 -3.83 -3.87 -3.91 -3.95 -3.98 -4.02 -4.06   \n",
       "\n",
       "              165   166   167   168   169   170   171   172   173   174   175  \\\n",
       "Price_Point  2.15  2.16  2.17  2.18  2.19  2.20  2.21  2.22  2.23  2.24  2.25   \n",
       "Mean_PE     -4.10 -4.13 -4.17 -4.21 -4.24 -4.28 -4.32 -4.35 -4.39 -4.43 -4.46   \n",
       "\n",
       "              176   177   178   179   180   181   182   183   184   185   186  \\\n",
       "Price_Point  2.26  2.27  2.28  2.29  2.30  2.31  2.32  2.33  2.34  2.35  2.36   \n",
       "Mean_PE     -4.50 -4.54 -4.57 -4.61 -4.64 -4.68 -4.71 -4.75 -4.78 -4.82 -4.85   \n",
       "\n",
       "              187   188   189   190   191   192   193   194   195   196   197  \\\n",
       "Price_Point  2.37  2.38  2.39  2.40  2.41  2.42  2.43  2.44  2.45  2.46  2.47   \n",
       "Mean_PE     -4.89 -4.92 -4.96 -4.99 -5.02 -5.06 -5.09 -5.13 -5.16 -5.19 -5.23   \n",
       "\n",
       "              198   199   200   201   202   203   204   205   206   207   208  \\\n",
       "Price_Point  2.48  2.49  2.50  2.51  2.52  2.53  2.54  2.55  2.56  2.57  2.58   \n",
       "Mean_PE     -5.26 -5.29 -5.33 -5.36 -5.39 -5.42 -5.46 -5.49 -5.52 -5.55 -5.59   \n",
       "\n",
       "              209   210   211   212   213   214   215   216   217   218   219  \\\n",
       "Price_Point  2.59  2.60  2.61  2.62  2.63  2.64  2.65  2.66  2.67  2.68  2.69   \n",
       "Mean_PE     -5.62 -5.65 -5.68 -5.71 -5.74 -5.77 -5.81 -5.84 -5.87 -5.90 -5.93   \n",
       "\n",
       "              220   221   222   223   224   225   226   227   228   229   230  \\\n",
       "Price_Point  2.70  2.71  2.72  2.73  2.74  2.75  2.76  2.77  2.78  2.79  2.80   \n",
       "Mean_PE     -5.96 -5.99 -6.02 -6.05 -6.08 -6.11 -6.14 -6.17 -6.20 -6.23 -6.26   \n",
       "\n",
       "              231   232   233   234   235   236   237   238   239   240   241  \\\n",
       "Price_Point  2.81  2.82  2.83  2.84  2.85  2.86  2.87  2.88  2.89  2.90  2.91   \n",
       "Mean_PE     -6.29 -6.32 -6.35 -6.38 -6.40 -6.43 -6.46 -6.49 -6.52 -6.55 -6.58   \n",
       "\n",
       "              242   243   244   245   246   247   248   249   250   251   252  \\\n",
       "Price_Point  2.92  2.93  2.94  2.95  2.96  2.97  2.98  2.99  3.00  3.01  3.02   \n",
       "Mean_PE     -6.60 -6.63 -6.66 -6.69 -6.72 -6.75 -6.77 -6.80 -6.83 -6.86 -6.88   \n",
       "\n",
       "              253   254   255   256   257   258   259   260   261   262   263  \\\n",
       "Price_Point  3.03  3.04  3.05  3.06  3.07  3.08  3.09  3.10  3.11  3.12  3.13   \n",
       "Mean_PE     -6.91 -6.94 -6.97 -6.99 -7.02 -7.05 -7.07 -7.10 -7.13 -7.16 -7.18   \n",
       "\n",
       "              264   265   266   267   268   269   270   271   272   273   274  \\\n",
       "Price_Point  3.14  3.15  3.16  3.17  3.18  3.19  3.20  3.21  3.22  3.23  3.24   \n",
       "Mean_PE     -7.21 -7.24 -7.26 -7.29 -7.32 -7.34 -7.37 -7.39 -7.42 -7.45 -7.47   \n",
       "\n",
       "              275   276   277   278   279   280   281   282   283   284   285  \\\n",
       "Price_Point  3.25  3.26  3.27  3.28  3.29  3.30  3.31  3.32  3.33  3.34  3.35   \n",
       "Mean_PE     -7.50 -7.53 -7.55 -7.58 -7.60 -7.63 -7.66 -7.68 -7.71 -7.73 -7.76   \n",
       "\n",
       "              286   287   288   289   290   291   292   293   294   295   296  \\\n",
       "Price_Point  3.36  3.37  3.38  3.39  3.40  3.41  3.42  3.43  3.44  3.45  3.46   \n",
       "Mean_PE     -7.78 -7.81 -7.83 -7.86 -7.89 -7.91 -7.94 -7.96 -7.99 -8.01 -8.04   \n",
       "\n",
       "              297   298   299  \n",
       "Price_Point  3.47  3.48  3.49  \n",
       "Mean_PE     -8.06 -8.09 -8.11  "
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Create price elasticities master data frame.\n",
    "# It will contain all the elasticities we calculate during the purchase analytics part of the course.\n",
    "price_elasticities_df = pd.DataFrame({'Price_Point': price_range, 'Mean_PE': price_elasticity })\n",
    "pd.options.display.max_columns = None\n",
    "price_elasticities_df.T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Now, we have the magnitude of price elasticities at each price point. The following plot shows the entire elasticity curve visually and how the elasticity changes compared to the price range as a function the price elasticity decreases as price increases."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'Price Elasticity of Purchase Probability')"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize= (9,6))\n",
    "plt.plot(price_range, price_elasticity, color = 'b')\n",
    "plt.xlabel('Price')\n",
    "plt.ylabel('Elasticity')\n",
    "plt.title('Price Elasticity of Purchase Probability')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Not surprisingly, the plot shows the higher the price of our product becomes the less likely it will be for people to want to buy it. \n",
    ">- The decrease in price is slow in the range between (0.5, 1.2), and then it becomes steeper after the point 1.1. \n",
    ">- The fact that the price elasticities are all negative is consistent with the negative model’s price coefficient: -2.34. \n",
    "\n",
    "> Note that \"Elasticity\" measures the percent change in an output variable by definition. If the percent change is greater than 100 percent, the output or purchase probability is called **\"elastic\"**. On the other hand, for changes less than 100 percent it is **\"inelastic\"**. In other words, if the elasticity has a value smaller than 1 in absolute terms we say it is **\"inelastic\"**. If it is greater than 1, it is **\"elastic\"**. <br> <br> \n",
    "\n",
    ">- For example, in the \"price_elasticities_df\" dataframe. the price elasticity at USD 1,10 price is -0.69. This means the average customer has an elasticity of -0.69. In other works, for each increase in price by 1 percent, the probability of purchase will change by -0.69 percent. \n",
    ">- The important observation here is that an increase of 1 percent in elasticity leads to a decrease of less than 1 percent.\n",
    "Therefore purchase probability at this point is \"inelastic\". \n",
    ">- When we look at the 1.50 price the elasticity is -1.70. This implies that an increase of 1 percent in price would translate into a decline of -1.70 percent of purchase probability. Therefore an increase of 1 percent will lead to a decrease of almost 2 percent in purchase probability. In this case the elasticity of purchase probability is \"elastic\".\n",
    ">- For inelastic values, the general recommendation is to increase the price as it wouldn't cause a significant decrease in the output variable or in our case purchase probability. On the other hand if we have elasticity which is greater than 1 in absolute terms, we should decrease the prices.\n",
    ">-At the price 1,25, we can see that the price elasticity is -1.0. With prices lower than 1,25, we can increase our product price without losing too much in terms of purchase probability for prices higher than 1.25. We have more to gain by reducing our prices.  <br>\n",
    "[Price Elasticity - Reference](https://365datascience.com/price-elasticity/)\n",
    "\n",
    "\n",
    "So far, I have covered the elasticities of the purchase probability of the average customer in our dataset.\n",
    "In the next section, I analyse how to obtain purchase elasticities for the different segments."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Purchase Elasticites by Segments"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Segment 0: Fewer-Opportunities"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select only customers from segment 0, the standard segment.\n",
    "segment_0 = df_pa.query('Segment == 0')\n",
    "\n",
    "# Logistic regression model\n",
    "output_segm0 = segment_0['Incidence']\n",
    "inputs_segm0 = pd.DataFrame()\n",
    "inputs_segm0['Mean_Price'] =segment_0.iloc[:, 6:11].mean(axis=1)\n",
    "\n",
    "# Logistic regression model\n",
    "model_incidence_segm0 = LogisticRegression(solver = 'sag')\n",
    "model_incidence_segm0.fit(inputs_segm0, output_segm0)\n",
    "\n",
    "# Calculate price elasticities\n",
    "Y_segm0 = model_incidence_segm0.predict_proba(price_range_df)\n",
    "purchase_prob_segm0 = Y_segm0[:][: , 1]\n",
    "pe_segm0 = model_incidence_segm0.coef_[:,0] * price_range *( 1- purchase_prob_segm0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-3.60356767]])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_incidence_segm0.coef_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Segment 1: Career-Focused "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Filter the data to contain only customers from segment 1, the career-focused.\n",
    "segment_1 = df_pa.query('Segment == 1')\n",
    "\n",
    "# Again we want to predict the purchase probability, so our Y variable is the incidence column.\n",
    "# Only here we select only the customers from the first segment.\n",
    "output_segm1 = segment_1['Incidence']\n",
    "inputs_segm1 = pd.DataFrame()\n",
    "inputs_segm1['Mean_Price'] =segment_1.iloc[:, 6:11].mean(axis=1)\n",
    "\n",
    "# Fit logistic regression model\n",
    "model_incidence_segm1 = LogisticRegression(solver = 'sag')\n",
    "model_incidence_segm1.fit(inputs_segm1, output_segm1)\n",
    "\n",
    "# Calculate Price Elasticity of the career-focused segment.\n",
    "Y_segm1 = model_incidence_segm1.predict_proba(price_range_df)\n",
    "purchase_prob_segm1 = Y_segm1[:][:, 1]\n",
    "pe_segm1 = model_incidence_segm1.coef_[:, 0] * price_range * (1 - purchase_prob_segm1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.72321388]])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# We observe that the price coefficient for the career focused is -1.7, whereas for the average customer it was -2.35.\n",
    "# This is an indicator, that this segment is less price sensitive compared to the average customer.\n",
    "model_incidence_segm1.coef_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Segment 2: Standard"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select only customers from segment 2, the Standard.\n",
    "segment_2 = df_pa.query('Segment == 2')\n",
    "\n",
    "# Logistic regression model\n",
    "output_segm2 = segment_2['Incidence']\n",
    "inputs_segm2 = pd.DataFrame()\n",
    "inputs_segm2['Mean_Price'] =segment_2.iloc[:, 6:11].mean(axis=1)\n",
    "\n",
    "model_incidence_segm2 = LogisticRegression(solver = 'sag')\n",
    "model_incidence_segm2.fit(inputs_segm2, output_segm2)\n",
    "\n",
    "# Calculate price elasticities\n",
    "Y_segm2 = model_incidence_segm2.predict_proba(price_range_df)\n",
    "purchase_prob_segm2 = Y_segm2[:][: , 1]\n",
    "pe_segm2 = model_incidence_segm2.coef_[:,0] * price_range * ( 1- purchase_prob_segm2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.50818787]])"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_incidence_segm2.coef_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Segment 3: Well-Off"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Select only customers from segment 0, the standard segment.\n",
    "segment_3 = df_pa.query('Segment == 3')\n",
    "\n",
    "# Logistic regression model\n",
    "output_segm3 = segment_3['Incidence']\n",
    "inputs_segm3 = pd.DataFrame()\n",
    "inputs_segm3['Mean_Price'] =segment_3.iloc[:, 6:11].mean(axis=1)\n",
    "\n",
    "# Logistic regression model\n",
    "model_incidence_segm3 = LogisticRegression(solver = 'sag')\n",
    "model_incidence_segm3.fit(inputs_segm3, output_segm3)\n",
    "\n",
    "# Calculate price elasticities\n",
    "Y_segm3 = model_incidence_segm3.predict_proba(price_range_df)\n",
    "purchase_prob_segm3 = Y_segm3[:][: , 1]\n",
    "pe_segm3 = model_incidence_segm3.coef_[:,0] * price_range *( 1- purchase_prob_segm3)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.28489355]])"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model_incidence_segm3.coef_"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "      <th>14</th>\n",
       "      <th>15</th>\n",
       "      <th>16</th>\n",
       "      <th>17</th>\n",
       "      <th>18</th>\n",
       "      <th>19</th>\n",
       "      <th>20</th>\n",
       "      <th>21</th>\n",
       "      <th>22</th>\n",
       "      <th>23</th>\n",
       "      <th>24</th>\n",
       "      <th>25</th>\n",
       "      <th>26</th>\n",
       "      <th>27</th>\n",
       "      <th>28</th>\n",
       "      <th>29</th>\n",
       "      <th>30</th>\n",
       "      <th>31</th>\n",
       "      <th>32</th>\n",
       "      <th>33</th>\n",
       "      <th>34</th>\n",
       "      <th>35</th>\n",
       "      <th>36</th>\n",
       "      <th>37</th>\n",
       "      <th>38</th>\n",
       "      <th>39</th>\n",
       "      <th>40</th>\n",
       "      <th>41</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "      <th>52</th>\n",
       "      <th>53</th>\n",
       "      <th>54</th>\n",
       "      <th>55</th>\n",
       "      <th>56</th>\n",
       "      <th>57</th>\n",
       "      <th>58</th>\n",
       "      <th>59</th>\n",
       "      <th>60</th>\n",
       "      <th>61</th>\n",
       "      <th>62</th>\n",
       "      <th>63</th>\n",
       "      <th>64</th>\n",
       "      <th>65</th>\n",
       "      <th>66</th>\n",
       "      <th>67</th>\n",
       "      <th>68</th>\n",
       "      <th>69</th>\n",
       "      <th>70</th>\n",
       "      <th>71</th>\n",
       "      <th>72</th>\n",
       "      <th>73</th>\n",
       "      <th>74</th>\n",
       "      <th>75</th>\n",
       "      <th>76</th>\n",
       "      <th>77</th>\n",
       "      <th>78</th>\n",
       "      <th>79</th>\n",
       "      <th>80</th>\n",
       "      <th>81</th>\n",
       "      <th>82</th>\n",
       "      <th>83</th>\n",
       "      <th>84</th>\n",
       "      <th>85</th>\n",
       "      <th>86</th>\n",
       "      <th>87</th>\n",
       "      <th>88</th>\n",
       "      <th>89</th>\n",
       "      <th>90</th>\n",
       "      <th>91</th>\n",
       "      <th>92</th>\n",
       "      <th>93</th>\n",
       "      <th>94</th>\n",
       "      <th>95</th>\n",
       "      <th>96</th>\n",
       "      <th>97</th>\n",
       "      <th>98</th>\n",
       "      <th>99</th>\n",
       "      <th>100</th>\n",
       "      <th>101</th>\n",
       "      <th>102</th>\n",
       "      <th>103</th>\n",
       "      <th>104</th>\n",
       "      <th>105</th>\n",
       "      <th>106</th>\n",
       "      <th>107</th>\n",
       "      <th>108</th>\n",
       "      <th>109</th>\n",
       "      <th>110</th>\n",
       "      <th>111</th>\n",
       "      <th>112</th>\n",
       "      <th>113</th>\n",
       "      <th>114</th>\n",
       "      <th>115</th>\n",
       "      <th>116</th>\n",
       "      <th>117</th>\n",
       "      <th>118</th>\n",
       "      <th>119</th>\n",
       "      <th>120</th>\n",
       "      <th>121</th>\n",
       "      <th>122</th>\n",
       "      <th>123</th>\n",
       "      <th>124</th>\n",
       "      <th>125</th>\n",
       "      <th>126</th>\n",
       "      <th>127</th>\n",
       "      <th>128</th>\n",
       "      <th>129</th>\n",
       "      <th>130</th>\n",
       "      <th>131</th>\n",
       "      <th>132</th>\n",
       "      <th>133</th>\n",
       "      <th>134</th>\n",
       "      <th>135</th>\n",
       "      <th>136</th>\n",
       "      <th>137</th>\n",
       "      <th>138</th>\n",
       "      <th>139</th>\n",
       "      <th>140</th>\n",
       "      <th>141</th>\n",
       "      <th>142</th>\n",
       "      <th>143</th>\n",
       "      <th>144</th>\n",
       "      <th>145</th>\n",
       "      <th>146</th>\n",
       "      <th>147</th>\n",
       "      <th>148</th>\n",
       "      <th>149</th>\n",
       "      <th>150</th>\n",
       "      <th>151</th>\n",
       "      <th>152</th>\n",
       "      <th>153</th>\n",
       "      <th>154</th>\n",
       "      <th>155</th>\n",
       "      <th>156</th>\n",
       "      <th>157</th>\n",
       "      <th>158</th>\n",
       "      <th>159</th>\n",
       "      <th>160</th>\n",
       "      <th>161</th>\n",
       "      <th>162</th>\n",
       "      <th>163</th>\n",
       "      <th>164</th>\n",
       "      <th>165</th>\n",
       "      <th>166</th>\n",
       "      <th>167</th>\n",
       "      <th>168</th>\n",
       "      <th>169</th>\n",
       "      <th>170</th>\n",
       "      <th>171</th>\n",
       "      <th>172</th>\n",
       "      <th>173</th>\n",
       "      <th>174</th>\n",
       "      <th>175</th>\n",
       "      <th>176</th>\n",
       "      <th>177</th>\n",
       "      <th>178</th>\n",
       "      <th>179</th>\n",
       "      <th>180</th>\n",
       "      <th>181</th>\n",
       "      <th>182</th>\n",
       "      <th>183</th>\n",
       "      <th>184</th>\n",
       "      <th>185</th>\n",
       "      <th>186</th>\n",
       "      <th>187</th>\n",
       "      <th>188</th>\n",
       "      <th>189</th>\n",
       "      <th>190</th>\n",
       "      <th>191</th>\n",
       "      <th>192</th>\n",
       "      <th>193</th>\n",
       "      <th>194</th>\n",
       "      <th>195</th>\n",
       "      <th>196</th>\n",
       "      <th>197</th>\n",
       "      <th>198</th>\n",
       "      <th>199</th>\n",
       "      <th>200</th>\n",
       "      <th>201</th>\n",
       "      <th>202</th>\n",
       "      <th>203</th>\n",
       "      <th>204</th>\n",
       "      <th>205</th>\n",
       "      <th>206</th>\n",
       "      <th>207</th>\n",
       "      <th>208</th>\n",
       "      <th>209</th>\n",
       "      <th>210</th>\n",
       "      <th>211</th>\n",
       "      <th>212</th>\n",
       "      <th>213</th>\n",
       "      <th>214</th>\n",
       "      <th>215</th>\n",
       "      <th>216</th>\n",
       "      <th>217</th>\n",
       "      <th>218</th>\n",
       "      <th>219</th>\n",
       "      <th>220</th>\n",
       "      <th>221</th>\n",
       "      <th>222</th>\n",
       "      <th>223</th>\n",
       "      <th>224</th>\n",
       "      <th>225</th>\n",
       "      <th>226</th>\n",
       "      <th>227</th>\n",
       "      <th>228</th>\n",
       "      <th>229</th>\n",
       "      <th>230</th>\n",
       "      <th>231</th>\n",
       "      <th>232</th>\n",
       "      <th>233</th>\n",
       "      <th>234</th>\n",
       "      <th>235</th>\n",
       "      <th>236</th>\n",
       "      <th>237</th>\n",
       "      <th>238</th>\n",
       "      <th>239</th>\n",
       "      <th>240</th>\n",
       "      <th>241</th>\n",
       "      <th>242</th>\n",
       "      <th>243</th>\n",
       "      <th>244</th>\n",
       "      <th>245</th>\n",
       "      <th>246</th>\n",
       "      <th>247</th>\n",
       "      <th>248</th>\n",
       "      <th>249</th>\n",
       "      <th>250</th>\n",
       "      <th>251</th>\n",
       "      <th>252</th>\n",
       "      <th>253</th>\n",
       "      <th>254</th>\n",
       "      <th>255</th>\n",
       "      <th>256</th>\n",
       "      <th>257</th>\n",
       "      <th>258</th>\n",
       "      <th>259</th>\n",
       "      <th>260</th>\n",
       "      <th>261</th>\n",
       "      <th>262</th>\n",
       "      <th>263</th>\n",
       "      <th>264</th>\n",
       "      <th>265</th>\n",
       "      <th>266</th>\n",
       "      <th>267</th>\n",
       "      <th>268</th>\n",
       "      <th>269</th>\n",
       "      <th>270</th>\n",
       "      <th>271</th>\n",
       "      <th>272</th>\n",
       "      <th>273</th>\n",
       "      <th>274</th>\n",
       "      <th>275</th>\n",
       "      <th>276</th>\n",
       "      <th>277</th>\n",
       "      <th>278</th>\n",
       "      <th>279</th>\n",
       "      <th>280</th>\n",
       "      <th>281</th>\n",
       "      <th>282</th>\n",
       "      <th>283</th>\n",
       "      <th>284</th>\n",
       "      <th>285</th>\n",
       "      <th>286</th>\n",
       "      <th>287</th>\n",
       "      <th>288</th>\n",
       "      <th>289</th>\n",
       "      <th>290</th>\n",
       "      <th>291</th>\n",
       "      <th>292</th>\n",
       "      <th>293</th>\n",
       "      <th>294</th>\n",
       "      <th>295</th>\n",
       "      <th>296</th>\n",
       "      <th>297</th>\n",
       "      <th>298</th>\n",
       "      <th>299</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Price_Point</th>\n",
       "      <td>0.50</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.52</td>\n",
       "      <td>0.53</td>\n",
       "      <td>0.54</td>\n",
       "      <td>0.55</td>\n",
       "      <td>0.56</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.59</td>\n",
       "      <td>0.60</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.65</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.67</td>\n",
       "      <td>0.68</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.71</td>\n",
       "      <td>0.72</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.74</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.78</td>\n",
       "      <td>0.79</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.82</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.89</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.99</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.01</td>\n",
       "      <td>1.02</td>\n",
       "      <td>1.03</td>\n",
       "      <td>1.04</td>\n",
       "      <td>1.05</td>\n",
       "      <td>1.06</td>\n",
       "      <td>1.07</td>\n",
       "      <td>1.08</td>\n",
       "      <td>1.09</td>\n",
       "      <td>1.10</td>\n",
       "      <td>1.11</td>\n",
       "      <td>1.12</td>\n",
       "      <td>1.13</td>\n",
       "      <td>1.14</td>\n",
       "      <td>1.15</td>\n",
       "      <td>1.16</td>\n",
       "      <td>1.17</td>\n",
       "      <td>1.18</td>\n",
       "      <td>1.19</td>\n",
       "      <td>1.20</td>\n",
       "      <td>1.21</td>\n",
       "      <td>1.22</td>\n",
       "      <td>1.23</td>\n",
       "      <td>1.24</td>\n",
       "      <td>1.25</td>\n",
       "      <td>1.26</td>\n",
       "      <td>1.27</td>\n",
       "      <td>1.28</td>\n",
       "      <td>1.29</td>\n",
       "      <td>1.30</td>\n",
       "      <td>1.31</td>\n",
       "      <td>1.32</td>\n",
       "      <td>1.33</td>\n",
       "      <td>1.34</td>\n",
       "      <td>1.35</td>\n",
       "      <td>1.36</td>\n",
       "      <td>1.37</td>\n",
       "      <td>1.38</td>\n",
       "      <td>1.39</td>\n",
       "      <td>1.40</td>\n",
       "      <td>1.41</td>\n",
       "      <td>1.42</td>\n",
       "      <td>1.43</td>\n",
       "      <td>1.44</td>\n",
       "      <td>1.45</td>\n",
       "      <td>1.46</td>\n",
       "      <td>1.47</td>\n",
       "      <td>1.48</td>\n",
       "      <td>1.49</td>\n",
       "      <td>1.50</td>\n",
       "      <td>1.51</td>\n",
       "      <td>1.52</td>\n",
       "      <td>1.53</td>\n",
       "      <td>1.54</td>\n",
       "      <td>1.55</td>\n",
       "      <td>1.56</td>\n",
       "      <td>1.57</td>\n",
       "      <td>1.58</td>\n",
       "      <td>1.59</td>\n",
       "      <td>1.60</td>\n",
       "      <td>1.61</td>\n",
       "      <td>1.62</td>\n",
       "      <td>1.63</td>\n",
       "      <td>1.64</td>\n",
       "      <td>1.65</td>\n",
       "      <td>1.66</td>\n",
       "      <td>1.67</td>\n",
       "      <td>1.68</td>\n",
       "      <td>1.69</td>\n",
       "      <td>1.70</td>\n",
       "      <td>1.71</td>\n",
       "      <td>1.72</td>\n",
       "      <td>1.73</td>\n",
       "      <td>1.74</td>\n",
       "      <td>1.75</td>\n",
       "      <td>1.76</td>\n",
       "      <td>1.77</td>\n",
       "      <td>1.78</td>\n",
       "      <td>1.79</td>\n",
       "      <td>1.80</td>\n",
       "      <td>1.81</td>\n",
       "      <td>1.82</td>\n",
       "      <td>1.83</td>\n",
       "      <td>1.84</td>\n",
       "      <td>1.85</td>\n",
       "      <td>1.86</td>\n",
       "      <td>1.87</td>\n",
       "      <td>1.88</td>\n",
       "      <td>1.89</td>\n",
       "      <td>1.90</td>\n",
       "      <td>1.91</td>\n",
       "      <td>1.92</td>\n",
       "      <td>1.93</td>\n",
       "      <td>1.94</td>\n",
       "      <td>1.95</td>\n",
       "      <td>1.96</td>\n",
       "      <td>1.97</td>\n",
       "      <td>1.98</td>\n",
       "      <td>1.99</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.02</td>\n",
       "      <td>2.03</td>\n",
       "      <td>2.04</td>\n",
       "      <td>2.05</td>\n",
       "      <td>2.06</td>\n",
       "      <td>2.07</td>\n",
       "      <td>2.08</td>\n",
       "      <td>2.09</td>\n",
       "      <td>2.10</td>\n",
       "      <td>2.11</td>\n",
       "      <td>2.12</td>\n",
       "      <td>2.13</td>\n",
       "      <td>2.14</td>\n",
       "      <td>2.15</td>\n",
       "      <td>2.16</td>\n",
       "      <td>2.17</td>\n",
       "      <td>2.18</td>\n",
       "      <td>2.19</td>\n",
       "      <td>2.20</td>\n",
       "      <td>2.21</td>\n",
       "      <td>2.22</td>\n",
       "      <td>2.23</td>\n",
       "      <td>2.24</td>\n",
       "      <td>2.25</td>\n",
       "      <td>2.26</td>\n",
       "      <td>2.27</td>\n",
       "      <td>2.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>2.30</td>\n",
       "      <td>2.31</td>\n",
       "      <td>2.32</td>\n",
       "      <td>2.33</td>\n",
       "      <td>2.34</td>\n",
       "      <td>2.35</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.37</td>\n",
       "      <td>2.38</td>\n",
       "      <td>2.39</td>\n",
       "      <td>2.40</td>\n",
       "      <td>2.41</td>\n",
       "      <td>2.42</td>\n",
       "      <td>2.43</td>\n",
       "      <td>2.44</td>\n",
       "      <td>2.45</td>\n",
       "      <td>2.46</td>\n",
       "      <td>2.47</td>\n",
       "      <td>2.48</td>\n",
       "      <td>2.49</td>\n",
       "      <td>2.50</td>\n",
       "      <td>2.51</td>\n",
       "      <td>2.52</td>\n",
       "      <td>2.53</td>\n",
       "      <td>2.54</td>\n",
       "      <td>2.55</td>\n",
       "      <td>2.56</td>\n",
       "      <td>2.57</td>\n",
       "      <td>2.58</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.60</td>\n",
       "      <td>2.61</td>\n",
       "      <td>2.62</td>\n",
       "      <td>2.63</td>\n",
       "      <td>2.64</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.66</td>\n",
       "      <td>2.67</td>\n",
       "      <td>2.68</td>\n",
       "      <td>2.69</td>\n",
       "      <td>2.70</td>\n",
       "      <td>2.71</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2.73</td>\n",
       "      <td>2.74</td>\n",
       "      <td>2.75</td>\n",
       "      <td>2.76</td>\n",
       "      <td>2.77</td>\n",
       "      <td>2.78</td>\n",
       "      <td>2.79</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.81</td>\n",
       "      <td>2.82</td>\n",
       "      <td>2.83</td>\n",
       "      <td>2.84</td>\n",
       "      <td>2.85</td>\n",
       "      <td>2.86</td>\n",
       "      <td>2.87</td>\n",
       "      <td>2.88</td>\n",
       "      <td>2.89</td>\n",
       "      <td>2.90</td>\n",
       "      <td>2.91</td>\n",
       "      <td>2.92</td>\n",
       "      <td>2.93</td>\n",
       "      <td>2.94</td>\n",
       "      <td>2.95</td>\n",
       "      <td>2.96</td>\n",
       "      <td>2.97</td>\n",
       "      <td>2.98</td>\n",
       "      <td>2.99</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.01</td>\n",
       "      <td>3.02</td>\n",
       "      <td>3.03</td>\n",
       "      <td>3.04</td>\n",
       "      <td>3.05</td>\n",
       "      <td>3.06</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.09</td>\n",
       "      <td>3.10</td>\n",
       "      <td>3.11</td>\n",
       "      <td>3.12</td>\n",
       "      <td>3.13</td>\n",
       "      <td>3.14</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.16</td>\n",
       "      <td>3.17</td>\n",
       "      <td>3.18</td>\n",
       "      <td>3.19</td>\n",
       "      <td>3.20</td>\n",
       "      <td>3.21</td>\n",
       "      <td>3.22</td>\n",
       "      <td>3.23</td>\n",
       "      <td>3.24</td>\n",
       "      <td>3.25</td>\n",
       "      <td>3.26</td>\n",
       "      <td>3.27</td>\n",
       "      <td>3.28</td>\n",
       "      <td>3.29</td>\n",
       "      <td>3.30</td>\n",
       "      <td>3.31</td>\n",
       "      <td>3.32</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.34</td>\n",
       "      <td>3.35</td>\n",
       "      <td>3.36</td>\n",
       "      <td>3.37</td>\n",
       "      <td>3.38</td>\n",
       "      <td>3.39</td>\n",
       "      <td>3.40</td>\n",
       "      <td>3.41</td>\n",
       "      <td>3.42</td>\n",
       "      <td>3.43</td>\n",
       "      <td>3.44</td>\n",
       "      <td>3.45</td>\n",
       "      <td>3.46</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.48</td>\n",
       "      <td>3.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mean_PE</th>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.10</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.23</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-1.43</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>-1.52</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.58</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>-1.87</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.04</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.21</td>\n",
       "      <td>-2.25</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.39</td>\n",
       "      <td>-2.43</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.58</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-2.92</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.15</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.22</td>\n",
       "      <td>-3.26</td>\n",
       "      <td>-3.30</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.38</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.45</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.53</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.64</td>\n",
       "      <td>-3.68</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.83</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.17</td>\n",
       "      <td>-4.21</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.28</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.35</td>\n",
       "      <td>-4.39</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.46</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.71</td>\n",
       "      <td>-4.75</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-4.82</td>\n",
       "      <td>-4.85</td>\n",
       "      <td>-4.89</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.96</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.02</td>\n",
       "      <td>-5.06</td>\n",
       "      <td>-5.09</td>\n",
       "      <td>-5.13</td>\n",
       "      <td>-5.16</td>\n",
       "      <td>-5.19</td>\n",
       "      <td>-5.23</td>\n",
       "      <td>-5.26</td>\n",
       "      <td>-5.29</td>\n",
       "      <td>-5.33</td>\n",
       "      <td>-5.36</td>\n",
       "      <td>-5.39</td>\n",
       "      <td>-5.42</td>\n",
       "      <td>-5.46</td>\n",
       "      <td>-5.49</td>\n",
       "      <td>-5.52</td>\n",
       "      <td>-5.55</td>\n",
       "      <td>-5.59</td>\n",
       "      <td>-5.62</td>\n",
       "      <td>-5.65</td>\n",
       "      <td>-5.68</td>\n",
       "      <td>-5.71</td>\n",
       "      <td>-5.74</td>\n",
       "      <td>-5.77</td>\n",
       "      <td>-5.81</td>\n",
       "      <td>-5.84</td>\n",
       "      <td>-5.87</td>\n",
       "      <td>-5.90</td>\n",
       "      <td>-5.93</td>\n",
       "      <td>-5.96</td>\n",
       "      <td>-5.99</td>\n",
       "      <td>-6.02</td>\n",
       "      <td>-6.05</td>\n",
       "      <td>-6.08</td>\n",
       "      <td>-6.11</td>\n",
       "      <td>-6.14</td>\n",
       "      <td>-6.17</td>\n",
       "      <td>-6.20</td>\n",
       "      <td>-6.23</td>\n",
       "      <td>-6.26</td>\n",
       "      <td>-6.29</td>\n",
       "      <td>-6.32</td>\n",
       "      <td>-6.35</td>\n",
       "      <td>-6.38</td>\n",
       "      <td>-6.40</td>\n",
       "      <td>-6.43</td>\n",
       "      <td>-6.46</td>\n",
       "      <td>-6.49</td>\n",
       "      <td>-6.52</td>\n",
       "      <td>-6.55</td>\n",
       "      <td>-6.58</td>\n",
       "      <td>-6.60</td>\n",
       "      <td>-6.63</td>\n",
       "      <td>-6.66</td>\n",
       "      <td>-6.69</td>\n",
       "      <td>-6.72</td>\n",
       "      <td>-6.75</td>\n",
       "      <td>-6.77</td>\n",
       "      <td>-6.80</td>\n",
       "      <td>-6.83</td>\n",
       "      <td>-6.86</td>\n",
       "      <td>-6.88</td>\n",
       "      <td>-6.91</td>\n",
       "      <td>-6.94</td>\n",
       "      <td>-6.97</td>\n",
       "      <td>-6.99</td>\n",
       "      <td>-7.02</td>\n",
       "      <td>-7.05</td>\n",
       "      <td>-7.07</td>\n",
       "      <td>-7.10</td>\n",
       "      <td>-7.13</td>\n",
       "      <td>-7.16</td>\n",
       "      <td>-7.18</td>\n",
       "      <td>-7.21</td>\n",
       "      <td>-7.24</td>\n",
       "      <td>-7.26</td>\n",
       "      <td>-7.29</td>\n",
       "      <td>-7.32</td>\n",
       "      <td>-7.34</td>\n",
       "      <td>-7.37</td>\n",
       "      <td>-7.39</td>\n",
       "      <td>-7.42</td>\n",
       "      <td>-7.45</td>\n",
       "      <td>-7.47</td>\n",
       "      <td>-7.50</td>\n",
       "      <td>-7.53</td>\n",
       "      <td>-7.55</td>\n",
       "      <td>-7.58</td>\n",
       "      <td>-7.60</td>\n",
       "      <td>-7.63</td>\n",
       "      <td>-7.66</td>\n",
       "      <td>-7.68</td>\n",
       "      <td>-7.71</td>\n",
       "      <td>-7.73</td>\n",
       "      <td>-7.76</td>\n",
       "      <td>-7.78</td>\n",
       "      <td>-7.81</td>\n",
       "      <td>-7.83</td>\n",
       "      <td>-7.86</td>\n",
       "      <td>-7.89</td>\n",
       "      <td>-7.91</td>\n",
       "      <td>-7.94</td>\n",
       "      <td>-7.96</td>\n",
       "      <td>-7.99</td>\n",
       "      <td>-8.01</td>\n",
       "      <td>-8.04</td>\n",
       "      <td>-8.06</td>\n",
       "      <td>-8.09</td>\n",
       "      <td>-8.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_0_FO</th>\n",
       "      <td>-0.03</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.74</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.07</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.23</td>\n",
       "      <td>-1.28</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.56</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.76</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.23</td>\n",
       "      <td>-2.29</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.49</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.62</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.76</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.90</td>\n",
       "      <td>-2.97</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.25</td>\n",
       "      <td>-3.33</td>\n",
       "      <td>-3.40</td>\n",
       "      <td>-3.48</td>\n",
       "      <td>-3.55</td>\n",
       "      <td>-3.62</td>\n",
       "      <td>-3.70</td>\n",
       "      <td>-3.78</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-4.00</td>\n",
       "      <td>-4.08</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.23</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.46</td>\n",
       "      <td>-4.53</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.69</td>\n",
       "      <td>-4.76</td>\n",
       "      <td>-4.84</td>\n",
       "      <td>-4.91</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.06</td>\n",
       "      <td>-5.13</td>\n",
       "      <td>-5.21</td>\n",
       "      <td>-5.28</td>\n",
       "      <td>-5.35</td>\n",
       "      <td>-5.43</td>\n",
       "      <td>-5.50</td>\n",
       "      <td>-5.57</td>\n",
       "      <td>-5.64</td>\n",
       "      <td>-5.71</td>\n",
       "      <td>-5.78</td>\n",
       "      <td>-5.85</td>\n",
       "      <td>-5.92</td>\n",
       "      <td>-5.99</td>\n",
       "      <td>-6.06</td>\n",
       "      <td>-6.13</td>\n",
       "      <td>-6.19</td>\n",
       "      <td>-6.26</td>\n",
       "      <td>-6.33</td>\n",
       "      <td>-6.39</td>\n",
       "      <td>-6.46</td>\n",
       "      <td>-6.52</td>\n",
       "      <td>-6.59</td>\n",
       "      <td>-6.65</td>\n",
       "      <td>-6.71</td>\n",
       "      <td>-6.78</td>\n",
       "      <td>-6.84</td>\n",
       "      <td>-6.90</td>\n",
       "      <td>-6.96</td>\n",
       "      <td>-7.02</td>\n",
       "      <td>-7.08</td>\n",
       "      <td>-7.14</td>\n",
       "      <td>-7.20</td>\n",
       "      <td>-7.26</td>\n",
       "      <td>-7.31</td>\n",
       "      <td>-7.37</td>\n",
       "      <td>-7.43</td>\n",
       "      <td>-7.48</td>\n",
       "      <td>-7.54</td>\n",
       "      <td>-7.59</td>\n",
       "      <td>-7.65</td>\n",
       "      <td>-7.70</td>\n",
       "      <td>-7.76</td>\n",
       "      <td>-7.81</td>\n",
       "      <td>-7.86</td>\n",
       "      <td>-7.92</td>\n",
       "      <td>-7.97</td>\n",
       "      <td>-8.02</td>\n",
       "      <td>-8.07</td>\n",
       "      <td>-8.12</td>\n",
       "      <td>-8.17</td>\n",
       "      <td>-8.22</td>\n",
       "      <td>-8.27</td>\n",
       "      <td>-8.32</td>\n",
       "      <td>-8.37</td>\n",
       "      <td>-8.42</td>\n",
       "      <td>-8.47</td>\n",
       "      <td>-8.52</td>\n",
       "      <td>-8.56</td>\n",
       "      <td>-8.61</td>\n",
       "      <td>-8.66</td>\n",
       "      <td>-8.70</td>\n",
       "      <td>-8.75</td>\n",
       "      <td>-8.80</td>\n",
       "      <td>-8.84</td>\n",
       "      <td>-8.89</td>\n",
       "      <td>-8.93</td>\n",
       "      <td>-8.98</td>\n",
       "      <td>-9.02</td>\n",
       "      <td>-9.07</td>\n",
       "      <td>-9.11</td>\n",
       "      <td>-9.16</td>\n",
       "      <td>-9.20</td>\n",
       "      <td>-9.24</td>\n",
       "      <td>-9.29</td>\n",
       "      <td>-9.33</td>\n",
       "      <td>-9.37</td>\n",
       "      <td>-9.41</td>\n",
       "      <td>-9.46</td>\n",
       "      <td>-9.50</td>\n",
       "      <td>-9.54</td>\n",
       "      <td>-9.58</td>\n",
       "      <td>-9.62</td>\n",
       "      <td>-9.67</td>\n",
       "      <td>-9.71</td>\n",
       "      <td>-9.75</td>\n",
       "      <td>-9.79</td>\n",
       "      <td>-9.83</td>\n",
       "      <td>-9.87</td>\n",
       "      <td>-9.91</td>\n",
       "      <td>-9.95</td>\n",
       "      <td>-9.99</td>\n",
       "      <td>-10.03</td>\n",
       "      <td>-10.07</td>\n",
       "      <td>-10.11</td>\n",
       "      <td>-10.15</td>\n",
       "      <td>-10.19</td>\n",
       "      <td>-10.23</td>\n",
       "      <td>-10.27</td>\n",
       "      <td>-10.31</td>\n",
       "      <td>-10.35</td>\n",
       "      <td>-10.39</td>\n",
       "      <td>-10.43</td>\n",
       "      <td>-10.47</td>\n",
       "      <td>-10.51</td>\n",
       "      <td>-10.55</td>\n",
       "      <td>-10.58</td>\n",
       "      <td>-10.62</td>\n",
       "      <td>-10.66</td>\n",
       "      <td>-10.70</td>\n",
       "      <td>-10.74</td>\n",
       "      <td>-10.78</td>\n",
       "      <td>-10.82</td>\n",
       "      <td>-10.85</td>\n",
       "      <td>-10.89</td>\n",
       "      <td>-10.93</td>\n",
       "      <td>-10.97</td>\n",
       "      <td>-11.01</td>\n",
       "      <td>-11.04</td>\n",
       "      <td>-11.08</td>\n",
       "      <td>-11.12</td>\n",
       "      <td>-11.16</td>\n",
       "      <td>-11.19</td>\n",
       "      <td>-11.23</td>\n",
       "      <td>-11.27</td>\n",
       "      <td>-11.31</td>\n",
       "      <td>-11.34</td>\n",
       "      <td>-11.38</td>\n",
       "      <td>-11.42</td>\n",
       "      <td>-11.46</td>\n",
       "      <td>-11.49</td>\n",
       "      <td>-11.53</td>\n",
       "      <td>-11.57</td>\n",
       "      <td>-11.61</td>\n",
       "      <td>-11.64</td>\n",
       "      <td>-11.68</td>\n",
       "      <td>-11.72</td>\n",
       "      <td>-11.75</td>\n",
       "      <td>-11.79</td>\n",
       "      <td>-11.83</td>\n",
       "      <td>-11.86</td>\n",
       "      <td>-11.90</td>\n",
       "      <td>-11.94</td>\n",
       "      <td>-11.98</td>\n",
       "      <td>-12.01</td>\n",
       "      <td>-12.05</td>\n",
       "      <td>-12.09</td>\n",
       "      <td>-12.12</td>\n",
       "      <td>-12.16</td>\n",
       "      <td>-12.20</td>\n",
       "      <td>-12.23</td>\n",
       "      <td>-12.27</td>\n",
       "      <td>-12.31</td>\n",
       "      <td>-12.34</td>\n",
       "      <td>-12.38</td>\n",
       "      <td>-12.42</td>\n",
       "      <td>-12.45</td>\n",
       "      <td>-12.49</td>\n",
       "      <td>-12.53</td>\n",
       "      <td>-12.56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_1_Cf</th>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.78</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.82</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.95</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.07</td>\n",
       "      <td>-1.09</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.28</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.38</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.50</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.68</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.72</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.91</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.95</td>\n",
       "      <td>-1.98</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.10</td>\n",
       "      <td>-2.12</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.19</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.27</td>\n",
       "      <td>-2.29</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.34</td>\n",
       "      <td>-2.37</td>\n",
       "      <td>-2.39</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.44</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.49</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.56</td>\n",
       "      <td>-2.59</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.64</td>\n",
       "      <td>-2.66</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.72</td>\n",
       "      <td>-2.74</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.79</td>\n",
       "      <td>-2.82</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.87</td>\n",
       "      <td>-2.89</td>\n",
       "      <td>-2.92</td>\n",
       "      <td>-2.94</td>\n",
       "      <td>-2.97</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-3.02</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-3.09</td>\n",
       "      <td>-3.12</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.17</td>\n",
       "      <td>-3.19</td>\n",
       "      <td>-3.22</td>\n",
       "      <td>-3.24</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.32</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.47</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.54</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>-3.62</td>\n",
       "      <td>-3.64</td>\n",
       "      <td>-3.67</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.79</td>\n",
       "      <td>-3.81</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.86</td>\n",
       "      <td>-3.88</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.01</td>\n",
       "      <td>-4.03</td>\n",
       "      <td>-4.05</td>\n",
       "      <td>-4.08</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.12</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.17</td>\n",
       "      <td>-4.20</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.27</td>\n",
       "      <td>-4.29</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.40</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.45</td>\n",
       "      <td>-4.47</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.52</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.63</td>\n",
       "      <td>-4.66</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.70</td>\n",
       "      <td>-4.72</td>\n",
       "      <td>-4.75</td>\n",
       "      <td>-4.77</td>\n",
       "      <td>-4.79</td>\n",
       "      <td>-4.81</td>\n",
       "      <td>-4.83</td>\n",
       "      <td>-4.86</td>\n",
       "      <td>-4.88</td>\n",
       "      <td>-4.90</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.94</td>\n",
       "      <td>-4.97</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.01</td>\n",
       "      <td>-5.03</td>\n",
       "      <td>-5.05</td>\n",
       "      <td>-5.07</td>\n",
       "      <td>-5.10</td>\n",
       "      <td>-5.12</td>\n",
       "      <td>-5.14</td>\n",
       "      <td>-5.16</td>\n",
       "      <td>-5.18</td>\n",
       "      <td>-5.20</td>\n",
       "      <td>-5.22</td>\n",
       "      <td>-5.25</td>\n",
       "      <td>-5.27</td>\n",
       "      <td>-5.29</td>\n",
       "      <td>-5.31</td>\n",
       "      <td>-5.33</td>\n",
       "      <td>-5.35</td>\n",
       "      <td>-5.37</td>\n",
       "      <td>-5.39</td>\n",
       "      <td>-5.41</td>\n",
       "      <td>-5.44</td>\n",
       "      <td>-5.46</td>\n",
       "      <td>-5.48</td>\n",
       "      <td>-5.50</td>\n",
       "      <td>-5.52</td>\n",
       "      <td>-5.54</td>\n",
       "      <td>-5.56</td>\n",
       "      <td>-5.58</td>\n",
       "      <td>-5.60</td>\n",
       "      <td>-5.62</td>\n",
       "      <td>-5.64</td>\n",
       "      <td>-5.66</td>\n",
       "      <td>-5.68</td>\n",
       "      <td>-5.70</td>\n",
       "      <td>-5.72</td>\n",
       "      <td>-5.74</td>\n",
       "      <td>-5.76</td>\n",
       "      <td>-5.78</td>\n",
       "      <td>-5.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_2_Strd</th>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.70</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.88</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.06</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.09</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.12</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.25</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.58</td>\n",
       "      <td>-1.60</td>\n",
       "      <td>-1.62</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.69</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.92</td>\n",
       "      <td>-1.94</td>\n",
       "      <td>-1.96</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.01</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.09</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.19</td>\n",
       "      <td>-2.20</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.30</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.34</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.38</td>\n",
       "      <td>-2.40</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.44</td>\n",
       "      <td>-2.46</td>\n",
       "      <td>-2.48</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.52</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>-2.59</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.63</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.67</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.71</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.75</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.79</td>\n",
       "      <td>-2.81</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.85</td>\n",
       "      <td>-2.87</td>\n",
       "      <td>-2.89</td>\n",
       "      <td>-2.91</td>\n",
       "      <td>-2.93</td>\n",
       "      <td>-2.94</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.98</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>-3.02</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.06</td>\n",
       "      <td>-3.08</td>\n",
       "      <td>-3.10</td>\n",
       "      <td>-3.12</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.20</td>\n",
       "      <td>-3.21</td>\n",
       "      <td>-3.23</td>\n",
       "      <td>-3.25</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.31</td>\n",
       "      <td>-3.33</td>\n",
       "      <td>-3.35</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.41</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.46</td>\n",
       "      <td>-3.48</td>\n",
       "      <td>-3.50</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.54</td>\n",
       "      <td>-3.56</td>\n",
       "      <td>-3.58</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.65</td>\n",
       "      <td>-3.67</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.73</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.78</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.82</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.89</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.00</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.04</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>-4.07</td>\n",
       "      <td>-4.09</td>\n",
       "      <td>-4.11</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.16</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>-4.20</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.25</td>\n",
       "      <td>-4.27</td>\n",
       "      <td>-4.29</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.40</td>\n",
       "      <td>-4.41</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.45</td>\n",
       "      <td>-4.47</td>\n",
       "      <td>-4.48</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.52</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.55</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.62</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.66</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.69</td>\n",
       "      <td>-4.71</td>\n",
       "      <td>-4.73</td>\n",
       "      <td>-4.74</td>\n",
       "      <td>-4.76</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-4.80</td>\n",
       "      <td>-4.81</td>\n",
       "      <td>-4.83</td>\n",
       "      <td>-4.85</td>\n",
       "      <td>-4.86</td>\n",
       "      <td>-4.88</td>\n",
       "      <td>-4.90</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.93</td>\n",
       "      <td>-4.95</td>\n",
       "      <td>-4.97</td>\n",
       "      <td>-4.98</td>\n",
       "      <td>-5.00</td>\n",
       "      <td>-5.02</td>\n",
       "      <td>-5.03</td>\n",
       "      <td>-5.05</td>\n",
       "      <td>-5.07</td>\n",
       "      <td>-5.09</td>\n",
       "      <td>-5.10</td>\n",
       "      <td>-5.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_3_WO</th>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.70</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.74</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.78</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.82</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.88</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.95</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>-1.01</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.06</td>\n",
       "      <td>-1.07</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.10</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.12</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.21</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.25</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.28</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.35</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.38</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.45</td>\n",
       "      <td>-1.47</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.50</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.54</td>\n",
       "      <td>-1.56</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.62</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.68</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.76</td>\n",
       "      <td>-1.78</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>-1.81</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.87</td>\n",
       "      <td>-1.89</td>\n",
       "      <td>-1.91</td>\n",
       "      <td>-1.92</td>\n",
       "      <td>-1.94</td>\n",
       "      <td>-1.95</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.02</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.08</td>\n",
       "      <td>-2.10</td>\n",
       "      <td>-2.12</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.20</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.23</td>\n",
       "      <td>-2.25</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.30</td>\n",
       "      <td>-2.31</td>\n",
       "      <td>-2.33</td>\n",
       "      <td>-2.35</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.38</td>\n",
       "      <td>-2.40</td>\n",
       "      <td>-2.41</td>\n",
       "      <td>-2.43</td>\n",
       "      <td>-2.45</td>\n",
       "      <td>-2.46</td>\n",
       "      <td>-2.48</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-2.53</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.56</td>\n",
       "      <td>-2.58</td>\n",
       "      <td>-2.60</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.63</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.66</td>\n",
       "      <td>-2.68</td>\n",
       "      <td>-2.70</td>\n",
       "      <td>-2.71</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.75</td>\n",
       "      <td>-2.76</td>\n",
       "      <td>-2.78</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>-2.81</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.85</td>\n",
       "      <td>-2.86</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-2.90</td>\n",
       "      <td>-2.91</td>\n",
       "      <td>-2.93</td>\n",
       "      <td>-2.95</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.98</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>-3.01</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>-3.05</td>\n",
       "      <td>-3.06</td>\n",
       "      <td>-3.08</td>\n",
       "      <td>-3.09</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.13</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.19</td>\n",
       "      <td>-3.21</td>\n",
       "      <td>-3.23</td>\n",
       "      <td>-3.24</td>\n",
       "      <td>-3.26</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.31</td>\n",
       "      <td>-3.32</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.36</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.40</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.45</td>\n",
       "      <td>-3.47</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.50</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.53</td>\n",
       "      <td>-3.55</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.58</td>\n",
       "      <td>-3.60</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.65</td>\n",
       "      <td>-3.66</td>\n",
       "      <td>-3.68</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.77</td>\n",
       "      <td>-3.79</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.82</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.88</td>\n",
       "      <td>-3.90</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.94</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-3.99</td>\n",
       "      <td>-4.01</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.04</td>\n",
       "      <td>-4.05</td>\n",
       "      <td>-4.07</td>\n",
       "      <td>-4.08</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.12</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.16</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>-4.19</td>\n",
       "      <td>-4.21</td>\n",
       "      <td>-4.22</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    0     1     2     3     4     5     6     7     8     9    \\\n",
       "Price_Point        0.50  0.51  0.52  0.53  0.54  0.55  0.56  0.57  0.58  0.59   \n",
       "Mean_PE           -0.10 -0.10 -0.10 -0.11 -0.11 -0.12 -0.12 -0.13 -0.13 -0.14   \n",
       "PE_Segment_0_FO   -0.03 -0.03 -0.04 -0.04 -0.04 -0.04 -0.04 -0.05 -0.05 -0.05   \n",
       "PE_Segment_1_Cf   -0.12 -0.12 -0.13 -0.13 -0.14 -0.14 -0.15 -0.15 -0.15 -0.16   \n",
       "PE_Segment_2_Strd -0.21 -0.22 -0.22 -0.23 -0.24 -0.25 -0.25 -0.26 -0.27 -0.27   \n",
       "PE_Segment_3_WO   -0.17 -0.17 -0.18 -0.18 -0.19 -0.19 -0.20 -0.20 -0.21 -0.21   \n",
       "\n",
       "                    10    11    12    13    14    15    16    17    18    19   \\\n",
       "Price_Point        0.60  0.61  0.62  0.63  0.64  0.65  0.66  0.67  0.68  0.69   \n",
       "Mean_PE           -0.14 -0.15 -0.15 -0.16 -0.17 -0.17 -0.18 -0.19 -0.19 -0.20   \n",
       "PE_Segment_0_FO   -0.06 -0.06 -0.06 -0.06 -0.07 -0.07 -0.07 -0.08 -0.08 -0.09   \n",
       "PE_Segment_1_Cf   -0.16 -0.17 -0.18 -0.18 -0.19 -0.19 -0.20 -0.20 -0.21 -0.22   \n",
       "PE_Segment_2_Strd -0.28 -0.29 -0.30 -0.31 -0.31 -0.32 -0.33 -0.34 -0.35 -0.36   \n",
       "PE_Segment_3_WO   -0.22 -0.22 -0.23 -0.24 -0.24 -0.25 -0.25 -0.26 -0.27 -0.27   \n",
       "\n",
       "                    20    21    22    23    24    25    26    27    28    29   \\\n",
       "Price_Point        0.70  0.71  0.72  0.73  0.74  0.75  0.76  0.77  0.78  0.79   \n",
       "Mean_PE           -0.21 -0.21 -0.22 -0.23 -0.24 -0.24 -0.25 -0.26 -0.27 -0.28   \n",
       "PE_Segment_0_FO   -0.09 -0.10 -0.10 -0.11 -0.11 -0.12 -0.12 -0.13 -0.13 -0.14   \n",
       "PE_Segment_1_Cf   -0.22 -0.23 -0.23 -0.24 -0.25 -0.25 -0.26 -0.27 -0.28 -0.28   \n",
       "PE_Segment_2_Strd -0.36 -0.37 -0.38 -0.39 -0.40 -0.41 -0.42 -0.43 -0.44 -0.45   \n",
       "PE_Segment_3_WO   -0.28 -0.28 -0.29 -0.30 -0.30 -0.31 -0.32 -0.33 -0.33 -0.34   \n",
       "\n",
       "                    30    31    32    33    34    35    36    37    38    39   \\\n",
       "Price_Point        0.80  0.81  0.82  0.83  0.84  0.85  0.86  0.87  0.88  0.89   \n",
       "Mean_PE           -0.29 -0.30 -0.31 -0.32 -0.33 -0.34 -0.35 -0.36 -0.37 -0.38   \n",
       "PE_Segment_0_FO   -0.15 -0.15 -0.16 -0.17 -0.18 -0.19 -0.19 -0.20 -0.21 -0.22   \n",
       "PE_Segment_1_Cf   -0.29 -0.30 -0.31 -0.31 -0.32 -0.33 -0.34 -0.35 -0.36 -0.37   \n",
       "PE_Segment_2_Strd -0.46 -0.47 -0.48 -0.49 -0.50 -0.51 -0.52 -0.53 -0.54 -0.55   \n",
       "PE_Segment_3_WO   -0.35 -0.35 -0.36 -0.37 -0.38 -0.38 -0.39 -0.40 -0.41 -0.42   \n",
       "\n",
       "                    40    41    42    43    44    45    46    47    48    49   \\\n",
       "Price_Point        0.90  0.91  0.92  0.93  0.94  0.95  0.96  0.97  0.98  0.99   \n",
       "Mean_PE           -0.39 -0.41 -0.42 -0.43 -0.44 -0.46 -0.47 -0.48 -0.50 -0.51   \n",
       "PE_Segment_0_FO   -0.23 -0.24 -0.25 -0.27 -0.28 -0.29 -0.30 -0.32 -0.33 -0.34   \n",
       "PE_Segment_1_Cf   -0.37 -0.38 -0.39 -0.40 -0.41 -0.42 -0.43 -0.44 -0.45 -0.46   \n",
       "PE_Segment_2_Strd -0.56 -0.58 -0.59 -0.60 -0.61 -0.62 -0.63 -0.65 -0.66 -0.67   \n",
       "PE_Segment_3_WO   -0.42 -0.43 -0.44 -0.45 -0.46 -0.47 -0.47 -0.48 -0.49 -0.50   \n",
       "\n",
       "                    50    51    52    53    54    55    56    57    58    59   \\\n",
       "Price_Point        1.00  1.01  1.02  1.03  1.04  1.05  1.06  1.07  1.08  1.09   \n",
       "Mean_PE           -0.53 -0.54 -0.56 -0.57 -0.59 -0.61 -0.62 -0.64 -0.66 -0.67   \n",
       "PE_Segment_0_FO   -0.36 -0.37 -0.39 -0.41 -0.42 -0.44 -0.46 -0.48 -0.50 -0.52   \n",
       "PE_Segment_1_Cf   -0.47 -0.48 -0.49 -0.51 -0.52 -0.53 -0.54 -0.55 -0.56 -0.58   \n",
       "PE_Segment_2_Strd -0.68 -0.70 -0.71 -0.72 -0.73 -0.75 -0.76 -0.77 -0.79 -0.80   \n",
       "PE_Segment_3_WO   -0.51 -0.52 -0.53 -0.54 -0.55 -0.56 -0.57 -0.58 -0.59 -0.60   \n",
       "\n",
       "                    60    61    62    63    64    65    66    67    68    69   \\\n",
       "Price_Point        1.10  1.11  1.12  1.13  1.14  1.15  1.16  1.17  1.18  1.19   \n",
       "Mean_PE           -0.69 -0.71 -0.73 -0.75 -0.77 -0.79 -0.81 -0.83 -0.85 -0.87   \n",
       "PE_Segment_0_FO   -0.54 -0.56 -0.59 -0.61 -0.64 -0.66 -0.69 -0.71 -0.74 -0.77   \n",
       "PE_Segment_1_Cf   -0.59 -0.60 -0.61 -0.63 -0.64 -0.65 -0.66 -0.68 -0.69 -0.71   \n",
       "PE_Segment_2_Strd -0.81 -0.83 -0.84 -0.85 -0.87 -0.88 -0.90 -0.91 -0.93 -0.94   \n",
       "PE_Segment_3_WO   -0.60 -0.61 -0.63 -0.64 -0.65 -0.66 -0.67 -0.68 -0.69 -0.70   \n",
       "\n",
       "                    70    71    72    73    74    75    76    77    78    79   \\\n",
       "Price_Point        1.20  1.21  1.22  1.23  1.24  1.25  1.26  1.27  1.28  1.29   \n",
       "Mean_PE           -0.89 -0.91 -0.94 -0.96 -0.98 -1.00 -1.03 -1.05 -1.08 -1.10   \n",
       "PE_Segment_0_FO   -0.80 -0.83 -0.86 -0.90 -0.93 -0.96 -1.00 -1.04 -1.07 -1.11   \n",
       "PE_Segment_1_Cf   -0.72 -0.73 -0.75 -0.76 -0.78 -0.79 -0.81 -0.82 -0.84 -0.85   \n",
       "PE_Segment_2_Strd -0.96 -0.97 -0.98 -1.00 -1.02 -1.03 -1.05 -1.06 -1.08 -1.09   \n",
       "PE_Segment_3_WO   -0.71 -0.72 -0.73 -0.74 -0.75 -0.76 -0.78 -0.79 -0.80 -0.81   \n",
       "\n",
       "                    80    81    82    83    84    85    86    87    88    89   \\\n",
       "Price_Point        1.30  1.31  1.32  1.33  1.34  1.35  1.36  1.37  1.38  1.39   \n",
       "Mean_PE           -1.13 -1.15 -1.18 -1.20 -1.23 -1.26 -1.29 -1.31 -1.34 -1.37   \n",
       "PE_Segment_0_FO   -1.15 -1.19 -1.23 -1.28 -1.32 -1.37 -1.41 -1.46 -1.51 -1.56   \n",
       "PE_Segment_1_Cf   -0.87 -0.89 -0.90 -0.92 -0.93 -0.95 -0.97 -0.98 -1.00 -1.02   \n",
       "PE_Segment_2_Strd -1.11 -1.12 -1.14 -1.16 -1.17 -1.19 -1.20 -1.22 -1.24 -1.25   \n",
       "PE_Segment_3_WO   -0.82 -0.83 -0.84 -0.86 -0.87 -0.88 -0.89 -0.91 -0.92 -0.93   \n",
       "\n",
       "                    90    91    92    93    94    95    96    97    98    99   \\\n",
       "Price_Point        1.40  1.41  1.42  1.43  1.44  1.45  1.46  1.47  1.48  1.49   \n",
       "Mean_PE           -1.40 -1.43 -1.46 -1.49 -1.52 -1.55 -1.58 -1.61 -1.64 -1.67   \n",
       "PE_Segment_0_FO   -1.61 -1.66 -1.71 -1.76 -1.82 -1.88 -1.93 -1.99 -2.05 -2.11   \n",
       "PE_Segment_1_Cf   -1.04 -1.05 -1.07 -1.09 -1.11 -1.13 -1.15 -1.16 -1.18 -1.20   \n",
       "PE_Segment_2_Strd -1.27 -1.29 -1.30 -1.32 -1.34 -1.36 -1.37 -1.39 -1.41 -1.42   \n",
       "PE_Segment_3_WO   -0.94 -0.95 -0.97 -0.98 -0.99 -1.01 -1.02 -1.03 -1.04 -1.06   \n",
       "\n",
       "                    100   101   102   103   104   105   106   107   108   109  \\\n",
       "Price_Point        1.50  1.51  1.52  1.53  1.54  1.55  1.56  1.57  1.58  1.59   \n",
       "Mean_PE           -1.70 -1.73 -1.77 -1.80 -1.83 -1.87 -1.90 -1.93 -1.97 -2.00   \n",
       "PE_Segment_0_FO   -2.17 -2.23 -2.29 -2.36 -2.42 -2.49 -2.55 -2.62 -2.69 -2.76   \n",
       "PE_Segment_1_Cf   -1.22 -1.24 -1.26 -1.28 -1.30 -1.32 -1.34 -1.36 -1.38 -1.40   \n",
       "PE_Segment_2_Strd -1.44 -1.46 -1.48 -1.49 -1.51 -1.53 -1.55 -1.57 -1.58 -1.60   \n",
       "PE_Segment_3_WO   -1.07 -1.08 -1.10 -1.11 -1.12 -1.14 -1.15 -1.17 -1.18 -1.19   \n",
       "\n",
       "                    110   111   112   113   114   115   116   117   118   119  \\\n",
       "Price_Point        1.60  1.61  1.62  1.63  1.64  1.65  1.66  1.67  1.68  1.69   \n",
       "Mean_PE           -2.04 -2.07 -2.11 -2.14 -2.18 -2.21 -2.25 -2.28 -2.32 -2.36   \n",
       "PE_Segment_0_FO   -2.83 -2.90 -2.97 -3.04 -3.11 -3.18 -3.25 -3.33 -3.40 -3.48   \n",
       "PE_Segment_1_Cf   -1.42 -1.44 -1.46 -1.48 -1.50 -1.53 -1.55 -1.57 -1.59 -1.61   \n",
       "PE_Segment_2_Strd -1.62 -1.64 -1.66 -1.67 -1.69 -1.71 -1.73 -1.75 -1.77 -1.79   \n",
       "PE_Segment_3_WO   -1.21 -1.22 -1.24 -1.25 -1.26 -1.28 -1.29 -1.31 -1.32 -1.34   \n",
       "\n",
       "                    120   121   122   123   124   125   126   127   128   129  \\\n",
       "Price_Point        1.70  1.71  1.72  1.73  1.74  1.75  1.76  1.77  1.78  1.79   \n",
       "Mean_PE           -2.39 -2.43 -2.47 -2.50 -2.54 -2.58 -2.61 -2.65 -2.69 -2.73   \n",
       "PE_Segment_0_FO   -3.55 -3.62 -3.70 -3.78 -3.85 -3.93 -4.00 -4.08 -4.15 -4.23   \n",
       "PE_Segment_1_Cf   -1.64 -1.66 -1.68 -1.70 -1.72 -1.75 -1.77 -1.79 -1.82 -1.84   \n",
       "PE_Segment_2_Strd -1.80 -1.82 -1.84 -1.86 -1.88 -1.90 -1.92 -1.94 -1.96 -1.97   \n",
       "PE_Segment_3_WO   -1.35 -1.36 -1.38 -1.39 -1.41 -1.42 -1.44 -1.45 -1.47 -1.48   \n",
       "\n",
       "                    130   131   132   133   134   135   136   137   138   139  \\\n",
       "Price_Point        1.80  1.81  1.82  1.83  1.84  1.85  1.86  1.87  1.88  1.89   \n",
       "Mean_PE           -2.77 -2.80 -2.84 -2.88 -2.92 -2.96 -2.99 -3.03 -3.07 -3.11   \n",
       "PE_Segment_0_FO   -4.31 -4.38 -4.46 -4.53 -4.61 -4.69 -4.76 -4.84 -4.91 -4.99   \n",
       "PE_Segment_1_Cf   -1.86 -1.88 -1.91 -1.93 -1.95 -1.98 -2.00 -2.03 -2.05 -2.07   \n",
       "PE_Segment_2_Strd -1.99 -2.01 -2.03 -2.05 -2.07 -2.09 -2.11 -2.13 -2.15 -2.17   \n",
       "PE_Segment_3_WO   -1.50 -1.51 -1.53 -1.54 -1.56 -1.57 -1.59 -1.61 -1.62 -1.64   \n",
       "\n",
       "                    140   141   142   143   144   145   146   147   148   149  \\\n",
       "Price_Point        1.90  1.91  1.92  1.93  1.94  1.95  1.96  1.97  1.98  1.99   \n",
       "Mean_PE           -3.15 -3.18 -3.22 -3.26 -3.30 -3.34 -3.38 -3.42 -3.45 -3.49   \n",
       "PE_Segment_0_FO   -5.06 -5.13 -5.21 -5.28 -5.35 -5.43 -5.50 -5.57 -5.64 -5.71   \n",
       "PE_Segment_1_Cf   -2.10 -2.12 -2.15 -2.17 -2.19 -2.22 -2.24 -2.27 -2.29 -2.32   \n",
       "PE_Segment_2_Strd -2.19 -2.20 -2.22 -2.24 -2.26 -2.28 -2.30 -2.32 -2.34 -2.36   \n",
       "PE_Segment_3_WO   -1.65 -1.67 -1.68 -1.70 -1.71 -1.73 -1.75 -1.76 -1.78 -1.79   \n",
       "\n",
       "                    150   151   152   153   154   155   156   157   158   159  \\\n",
       "Price_Point        2.00  2.01  2.02  2.03  2.04  2.05  2.06  2.07  2.08  2.09   \n",
       "Mean_PE           -3.53 -3.57 -3.61 -3.64 -3.68 -3.72 -3.76 -3.80 -3.83 -3.87   \n",
       "PE_Segment_0_FO   -5.78 -5.85 -5.92 -5.99 -6.06 -6.13 -6.19 -6.26 -6.33 -6.39   \n",
       "PE_Segment_1_Cf   -2.34 -2.37 -2.39 -2.42 -2.44 -2.47 -2.49 -2.51 -2.54 -2.56   \n",
       "PE_Segment_2_Strd -2.38 -2.40 -2.42 -2.44 -2.46 -2.48 -2.50 -2.52 -2.54 -2.55   \n",
       "PE_Segment_3_WO   -1.81 -1.83 -1.84 -1.86 -1.87 -1.89 -1.91 -1.92 -1.94 -1.95   \n",
       "\n",
       "                    160   161   162   163   164   165   166   167   168   169  \\\n",
       "Price_Point        2.10  2.11  2.12  2.13  2.14  2.15  2.16  2.17  2.18  2.19   \n",
       "Mean_PE           -3.91 -3.95 -3.98 -4.02 -4.06 -4.10 -4.13 -4.17 -4.21 -4.24   \n",
       "PE_Segment_0_FO   -6.46 -6.52 -6.59 -6.65 -6.71 -6.78 -6.84 -6.90 -6.96 -7.02   \n",
       "PE_Segment_1_Cf   -2.59 -2.61 -2.64 -2.66 -2.69 -2.72 -2.74 -2.77 -2.79 -2.82   \n",
       "PE_Segment_2_Strd -2.57 -2.59 -2.61 -2.63 -2.65 -2.67 -2.69 -2.71 -2.73 -2.75   \n",
       "PE_Segment_3_WO   -1.97 -1.99 -2.00 -2.02 -2.03 -2.05 -2.07 -2.08 -2.10 -2.12   \n",
       "\n",
       "                    170   171   172   173   174   175   176   177   178   179  \\\n",
       "Price_Point        2.20  2.21  2.22  2.23  2.24  2.25  2.26  2.27  2.28  2.29   \n",
       "Mean_PE           -4.28 -4.32 -4.35 -4.39 -4.43 -4.46 -4.50 -4.54 -4.57 -4.61   \n",
       "PE_Segment_0_FO   -7.08 -7.14 -7.20 -7.26 -7.31 -7.37 -7.43 -7.48 -7.54 -7.59   \n",
       "PE_Segment_1_Cf   -2.84 -2.87 -2.89 -2.92 -2.94 -2.97 -2.99 -3.02 -3.04 -3.07   \n",
       "PE_Segment_2_Strd -2.77 -2.79 -2.81 -2.83 -2.85 -2.87 -2.89 -2.91 -2.93 -2.94   \n",
       "PE_Segment_3_WO   -2.13 -2.15 -2.17 -2.18 -2.20 -2.22 -2.23 -2.25 -2.26 -2.28   \n",
       "\n",
       "                    180   181   182   183   184   185   186   187   188   189  \\\n",
       "Price_Point        2.30  2.31  2.32  2.33  2.34  2.35  2.36  2.37  2.38  2.39   \n",
       "Mean_PE           -4.64 -4.68 -4.71 -4.75 -4.78 -4.82 -4.85 -4.89 -4.92 -4.96   \n",
       "PE_Segment_0_FO   -7.65 -7.70 -7.76 -7.81 -7.86 -7.92 -7.97 -8.02 -8.07 -8.12   \n",
       "PE_Segment_1_Cf   -3.09 -3.12 -3.14 -3.17 -3.19 -3.22 -3.24 -3.27 -3.29 -3.32   \n",
       "PE_Segment_2_Strd -2.96 -2.98 -3.00 -3.02 -3.04 -3.06 -3.08 -3.10 -3.12 -3.14   \n",
       "PE_Segment_3_WO   -2.30 -2.31 -2.33 -2.35 -2.36 -2.38 -2.40 -2.41 -2.43 -2.45   \n",
       "\n",
       "                    190   191   192   193   194   195   196   197   198   199  \\\n",
       "Price_Point        2.40  2.41  2.42  2.43  2.44  2.45  2.46  2.47  2.48  2.49   \n",
       "Mean_PE           -4.99 -5.02 -5.06 -5.09 -5.13 -5.16 -5.19 -5.23 -5.26 -5.29   \n",
       "PE_Segment_0_FO   -8.17 -8.22 -8.27 -8.32 -8.37 -8.42 -8.47 -8.52 -8.56 -8.61   \n",
       "PE_Segment_1_Cf   -3.34 -3.37 -3.39 -3.42 -3.44 -3.47 -3.49 -3.52 -3.54 -3.57   \n",
       "PE_Segment_2_Strd -3.16 -3.18 -3.20 -3.21 -3.23 -3.25 -3.27 -3.29 -3.31 -3.33   \n",
       "PE_Segment_3_WO   -2.46 -2.48 -2.50 -2.51 -2.53 -2.55 -2.56 -2.58 -2.60 -2.61   \n",
       "\n",
       "                    200   201   202   203   204   205   206   207   208   209  \\\n",
       "Price_Point        2.50  2.51  2.52  2.53  2.54  2.55  2.56  2.57  2.58  2.59   \n",
       "Mean_PE           -5.33 -5.36 -5.39 -5.42 -5.46 -5.49 -5.52 -5.55 -5.59 -5.62   \n",
       "PE_Segment_0_FO   -8.66 -8.70 -8.75 -8.80 -8.84 -8.89 -8.93 -8.98 -9.02 -9.07   \n",
       "PE_Segment_1_Cf   -3.59 -3.62 -3.64 -3.67 -3.69 -3.71 -3.74 -3.76 -3.79 -3.81   \n",
       "PE_Segment_2_Strd -3.35 -3.37 -3.39 -3.41 -3.42 -3.44 -3.46 -3.48 -3.50 -3.52   \n",
       "PE_Segment_3_WO   -2.63 -2.65 -2.66 -2.68 -2.70 -2.71 -2.73 -2.75 -2.76 -2.78   \n",
       "\n",
       "                    210   211   212   213   214   215   216   217   218   219  \\\n",
       "Price_Point        2.60  2.61  2.62  2.63  2.64  2.65  2.66  2.67  2.68  2.69   \n",
       "Mean_PE           -5.65 -5.68 -5.71 -5.74 -5.77 -5.81 -5.84 -5.87 -5.90 -5.93   \n",
       "PE_Segment_0_FO   -9.11 -9.16 -9.20 -9.24 -9.29 -9.33 -9.37 -9.41 -9.46 -9.50   \n",
       "PE_Segment_1_Cf   -3.84 -3.86 -3.88 -3.91 -3.93 -3.96 -3.98 -4.01 -4.03 -4.05   \n",
       "PE_Segment_2_Strd -3.54 -3.56 -3.58 -3.59 -3.61 -3.63 -3.65 -3.67 -3.69 -3.71   \n",
       "PE_Segment_3_WO   -2.80 -2.81 -2.83 -2.85 -2.86 -2.88 -2.90 -2.91 -2.93 -2.95   \n",
       "\n",
       "                    220   221   222   223   224   225   226   227   228   229  \\\n",
       "Price_Point        2.70  2.71  2.72  2.73  2.74  2.75  2.76  2.77  2.78  2.79   \n",
       "Mean_PE           -5.96 -5.99 -6.02 -6.05 -6.08 -6.11 -6.14 -6.17 -6.20 -6.23   \n",
       "PE_Segment_0_FO   -9.54 -9.58 -9.62 -9.67 -9.71 -9.75 -9.79 -9.83 -9.87 -9.91   \n",
       "PE_Segment_1_Cf   -4.08 -4.10 -4.12 -4.15 -4.17 -4.20 -4.22 -4.24 -4.27 -4.29   \n",
       "PE_Segment_2_Strd -3.73 -3.74 -3.76 -3.78 -3.80 -3.82 -3.84 -3.85 -3.87 -3.89   \n",
       "PE_Segment_3_WO   -2.96 -2.98 -3.00 -3.01 -3.03 -3.05 -3.06 -3.08 -3.09 -3.11   \n",
       "\n",
       "                    230   231    232    233    234    235    236    237  \\\n",
       "Price_Point        2.80  2.81   2.82   2.83   2.84   2.85   2.86   2.87   \n",
       "Mean_PE           -6.26 -6.29  -6.32  -6.35  -6.38  -6.40  -6.43  -6.46   \n",
       "PE_Segment_0_FO   -9.95 -9.99 -10.03 -10.07 -10.11 -10.15 -10.19 -10.23   \n",
       "PE_Segment_1_Cf   -4.31 -4.34  -4.36  -4.38  -4.40  -4.43  -4.45  -4.47   \n",
       "PE_Segment_2_Strd -3.91 -3.93  -3.95  -3.96  -3.98  -4.00  -4.02  -4.04   \n",
       "PE_Segment_3_WO   -3.13 -3.14  -3.16  -3.18  -3.19  -3.21  -3.23  -3.24   \n",
       "\n",
       "                     238    239    240    241    242    243    244    245  \\\n",
       "Price_Point         2.88   2.89   2.90   2.91   2.92   2.93   2.94   2.95   \n",
       "Mean_PE            -6.49  -6.52  -6.55  -6.58  -6.60  -6.63  -6.66  -6.69   \n",
       "PE_Segment_0_FO   -10.27 -10.31 -10.35 -10.39 -10.43 -10.47 -10.51 -10.55   \n",
       "PE_Segment_1_Cf    -4.50  -4.52  -4.54  -4.57  -4.59  -4.61  -4.63  -4.66   \n",
       "PE_Segment_2_Strd  -4.06  -4.07  -4.09  -4.11  -4.13  -4.15  -4.16  -4.18   \n",
       "PE_Segment_3_WO    -3.26  -3.27  -3.29  -3.31  -3.32  -3.34  -3.36  -3.37   \n",
       "\n",
       "                     246    247    248    249    250    251    252    253  \\\n",
       "Price_Point         2.96   2.97   2.98   2.99   3.00   3.01   3.02   3.03   \n",
       "Mean_PE            -6.72  -6.75  -6.77  -6.80  -6.83  -6.86  -6.88  -6.91   \n",
       "PE_Segment_0_FO   -10.58 -10.62 -10.66 -10.70 -10.74 -10.78 -10.82 -10.85   \n",
       "PE_Segment_1_Cf    -4.68  -4.70  -4.72  -4.75  -4.77  -4.79  -4.81  -4.83   \n",
       "PE_Segment_2_Strd  -4.20  -4.22  -4.24  -4.25  -4.27  -4.29  -4.31  -4.32   \n",
       "PE_Segment_3_WO    -3.39  -3.40  -3.42  -3.44  -3.45  -3.47  -3.49  -3.50   \n",
       "\n",
       "                     254    255    256    257    258    259    260    261  \\\n",
       "Price_Point         3.04   3.05   3.06   3.07   3.08   3.09   3.10   3.11   \n",
       "Mean_PE            -6.94  -6.97  -6.99  -7.02  -7.05  -7.07  -7.10  -7.13   \n",
       "PE_Segment_0_FO   -10.89 -10.93 -10.97 -11.01 -11.04 -11.08 -11.12 -11.16   \n",
       "PE_Segment_1_Cf    -4.86  -4.88  -4.90  -4.92  -4.94  -4.97  -4.99  -5.01   \n",
       "PE_Segment_2_Strd  -4.34  -4.36  -4.38  -4.40  -4.41  -4.43  -4.45  -4.47   \n",
       "PE_Segment_3_WO    -3.52  -3.53  -3.55  -3.57  -3.58  -3.60  -3.61  -3.63   \n",
       "\n",
       "                     262    263    264    265    266    267    268    269  \\\n",
       "Price_Point         3.12   3.13   3.14   3.15   3.16   3.17   3.18   3.19   \n",
       "Mean_PE            -7.16  -7.18  -7.21  -7.24  -7.26  -7.29  -7.32  -7.34   \n",
       "PE_Segment_0_FO   -11.19 -11.23 -11.27 -11.31 -11.34 -11.38 -11.42 -11.46   \n",
       "PE_Segment_1_Cf    -5.03  -5.05  -5.07  -5.10  -5.12  -5.14  -5.16  -5.18   \n",
       "PE_Segment_2_Strd  -4.48  -4.50  -4.52  -4.54  -4.55  -4.57  -4.59  -4.61   \n",
       "PE_Segment_3_WO    -3.65  -3.66  -3.68  -3.69  -3.71  -3.72  -3.74  -3.76   \n",
       "\n",
       "                     270    271    272    273    274    275    276    277  \\\n",
       "Price_Point         3.20   3.21   3.22   3.23   3.24   3.25   3.26   3.27   \n",
       "Mean_PE            -7.37  -7.39  -7.42  -7.45  -7.47  -7.50  -7.53  -7.55   \n",
       "PE_Segment_0_FO   -11.49 -11.53 -11.57 -11.61 -11.64 -11.68 -11.72 -11.75   \n",
       "PE_Segment_1_Cf    -5.20  -5.22  -5.25  -5.27  -5.29  -5.31  -5.33  -5.35   \n",
       "PE_Segment_2_Strd  -4.62  -4.64  -4.66  -4.68  -4.69  -4.71  -4.73  -4.74   \n",
       "PE_Segment_3_WO    -3.77  -3.79  -3.80  -3.82  -3.84  -3.85  -3.87  -3.88   \n",
       "\n",
       "                     278    279    280    281    282    283    284    285  \\\n",
       "Price_Point         3.28   3.29   3.30   3.31   3.32   3.33   3.34   3.35   \n",
       "Mean_PE            -7.58  -7.60  -7.63  -7.66  -7.68  -7.71  -7.73  -7.76   \n",
       "PE_Segment_0_FO   -11.79 -11.83 -11.86 -11.90 -11.94 -11.98 -12.01 -12.05   \n",
       "PE_Segment_1_Cf    -5.37  -5.39  -5.41  -5.44  -5.46  -5.48  -5.50  -5.52   \n",
       "PE_Segment_2_Strd  -4.76  -4.78  -4.80  -4.81  -4.83  -4.85  -4.86  -4.88   \n",
       "PE_Segment_3_WO    -3.90  -3.91  -3.93  -3.94  -3.96  -3.98  -3.99  -4.01   \n",
       "\n",
       "                     286    287    288    289    290    291    292    293  \\\n",
       "Price_Point         3.36   3.37   3.38   3.39   3.40   3.41   3.42   3.43   \n",
       "Mean_PE            -7.78  -7.81  -7.83  -7.86  -7.89  -7.91  -7.94  -7.96   \n",
       "PE_Segment_0_FO   -12.09 -12.12 -12.16 -12.20 -12.23 -12.27 -12.31 -12.34   \n",
       "PE_Segment_1_Cf    -5.54  -5.56  -5.58  -5.60  -5.62  -5.64  -5.66  -5.68   \n",
       "PE_Segment_2_Strd  -4.90  -4.92  -4.93  -4.95  -4.97  -4.98  -5.00  -5.02   \n",
       "PE_Segment_3_WO    -4.02  -4.04  -4.05  -4.07  -4.08  -4.10  -4.12  -4.13   \n",
       "\n",
       "                     294    295    296    297    298    299  \n",
       "Price_Point         3.44   3.45   3.46   3.47   3.48   3.49  \n",
       "Mean_PE            -7.99  -8.01  -8.04  -8.06  -8.09  -8.11  \n",
       "PE_Segment_0_FO   -12.38 -12.42 -12.45 -12.49 -12.53 -12.56  \n",
       "PE_Segment_1_Cf    -5.70  -5.72  -5.74  -5.76  -5.78  -5.80  \n",
       "PE_Segment_2_Strd  -5.03  -5.05  -5.07  -5.09  -5.10  -5.12  \n",
       "PE_Segment_3_WO    -4.15  -4.16  -4.18  -4.19  -4.21  -4.22  "
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_price_elasticities = pd.DataFrame({'Price_Point': price_range, \n",
    "                                      'Mean_PE': price_elasticity,\n",
    "                                      'PE_Segment_0_FO': pe_segm0, \n",
    "                                      'PE_Segment_1_Cf': pe_segm1, \n",
    "                                      'PE_Segment_2_Strd': pe_segm2, \n",
    "                                      'PE_Segment_3_WO': pe_segm3})\n",
    "\n",
    "df_price_elasticities.T"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# We display all elasticities of purchase probability on the same plot. \n",
    "plt.figure(figsize = (9, 6))\n",
    "ax1=plt.plot(price_range, price_elasticity, color = 'grey', label=\"Average\")\n",
    "ax2=plt.plot(price_range, pe_segm0, color = 'b', label='Fewer-Opportunities')\n",
    "ax3=plt.plot(price_range, pe_segm1, color = 'orange', label='Career-Focused')\n",
    "ax4=plt.plot(price_range, pe_segm2, color = 'g', label='Standard')\n",
    "plt.plot(price_range, pe_segm3, color = 'r', label='Well-Off')\n",
    "plt.xlabel('Price')\n",
    "plt.ylabel('Elasticity')\n",
    "plt.title('Price Elasticity of Purchase Probability')\n",
    "plt.hlines(y =-1.0, color='blue', linewidth=1, xmin = 0.5, xmax = 3.5)\n",
    "# show the legend\n",
    "plt.legend( bbox_to_anchor = (1, 0.5), loc = 6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    ">- It seems that **\"Fewer Opportunities\"** segment is the most price sensitive compared to the average as well as other segments. The line is not only lower but it is also much steeper. And this means that with an increase in price they become more and more elastic much faster.\n",
    "\n",
    ">- When we see the tipping point between elasticity and in elasticity for the **\"Fewer-Opportunities\"** segment, it seems to stand at 1,70. Considering the average tipping point was at 1,25, this is quite interesting. This indicates that this segment is more inelastic at lower prices. This is also evident from the graph. The Blue line (\"Fewer-Opportunities\") is a bit higher than the other two in the beginning. Later on however it becomes much steeper. \n",
    "    - The first reason could be technical since the fewer opportunities cluster is the biggest one may maybe the abundance of data is resulting in a more sophisticated model.\n",
    "    - Second reason could be related to purchasing behavior. Maybe the fewer opportunities customer enjoys chocolate candy bars so much that a price increase in the lower price ranges won't stop them from buying it. However once it starts becoming expensive it does not make any financial sense to them to invest in it. \n",
    "    \n",
    ">- We observe that the **\"Well-Off\"** segment is the least elastic across the price range, when compared to the rest. Their purchase probability elasticity is the least affected by price."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Purchase Probabilty with Promotion Feature "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Include a second promotion feature. We'd like to examine the effects of promotions on purchase probability.\n",
    "# Calculate the average promotion rate across the five brands. We add the mean price for the brands.\n",
    "output_prom = df_pa['Incidence']\n",
    "inputs_prom = pd.DataFrame()\n",
    "inputs_prom['Mean_Price'] =df_pa.iloc[:, 6:11].mean(axis=1)\n",
    "inputs_prom['Mean_Promotion'] =df_pa.iloc[:, 11:16].mean(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Mean_Price</th>\n",
       "      <th>Mean_Promotion</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ID</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>200000001</th>\n",
       "      <td>2.04</td>\n",
       "      <td>0.20</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200000001</th>\n",
       "      <td>2.03</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200000001</th>\n",
       "      <td>2.03</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200000001</th>\n",
       "      <td>2.03</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>200000001</th>\n",
       "      <td>2.03</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           Mean_Price  Mean_Promotion\n",
       "ID                                   \n",
       "200000001        2.04            0.20\n",
       "200000001        2.03            0.00\n",
       "200000001        2.03            0.00\n",
       "200000001        2.03            0.00\n",
       "200000001        2.03            0.00"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "inputs_prom.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Estimation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[-1.4941023 ,  0.56130371]])"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# The coefficient for promotion is positive. \n",
    "# Therefore, there is a positive relationship between promotion and purchase probability.\n",
    "model_incidence_prom = LogisticRegression(solver = 'sag')\n",
    "model_incidence_prom.fit(inputs_prom, output_prom)\n",
    "model_incidence_prom.coef_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Price Elasticity with vs. without Promotion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "# First create a data frame on which our model will predict. We need to include A price and promotion feature.\n",
    "# First, I include the price range as the price feature. Then I include the promotion feature.\n",
    "# Calculate price elasticities of purchase probability when we assume there is a promotion across at each price points.\n",
    "price_elasticity_prom = pd.DataFrame({'Price_Range':price_range , 'Promotion': 1} )\n",
    "\n",
    "# Purchase Probability with Promotion Model Prediction\n",
    "Y_promo = model_incidence_prom.predict_proba(price_elasticity_prom)\n",
    "promo = Y_promo[:, 1]\n",
    "price_elasticity_promo = (model_incidence_prom.coef_[:, 0] * price_range) * (1 - promo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Promotion feature - No Promotion.\n",
    "# Assume there aren't any promotional activities on any of the price points.\n",
    "# Examine the elasticity of purchase probability when there isn't promotion.\n",
    "price_elasticity_no_promo = pd.DataFrame({'Price_Range':price_range , 'Promotion': 0} )\n",
    "\n",
    "# Purchase Probability without Promotion Model Prediction\n",
    "Y_no_promo = model_incidence_prom.predict_proba(price_elasticity_no_promo)\n",
    "no_promo = Y_no_promo[: , 1]\n",
    "price_elasticity_no_promo = model_incidence_prom.coef_[:, 0] * price_range *(1- no_promo)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
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       "      <th>29</th>\n",
       "      <th>30</th>\n",
       "      <th>31</th>\n",
       "      <th>32</th>\n",
       "      <th>33</th>\n",
       "      <th>34</th>\n",
       "      <th>35</th>\n",
       "      <th>36</th>\n",
       "      <th>37</th>\n",
       "      <th>38</th>\n",
       "      <th>39</th>\n",
       "      <th>40</th>\n",
       "      <th>41</th>\n",
       "      <th>42</th>\n",
       "      <th>43</th>\n",
       "      <th>44</th>\n",
       "      <th>45</th>\n",
       "      <th>46</th>\n",
       "      <th>47</th>\n",
       "      <th>48</th>\n",
       "      <th>49</th>\n",
       "      <th>50</th>\n",
       "      <th>51</th>\n",
       "      <th>52</th>\n",
       "      <th>53</th>\n",
       "      <th>54</th>\n",
       "      <th>55</th>\n",
       "      <th>56</th>\n",
       "      <th>57</th>\n",
       "      <th>58</th>\n",
       "      <th>59</th>\n",
       "      <th>60</th>\n",
       "      <th>61</th>\n",
       "      <th>62</th>\n",
       "      <th>63</th>\n",
       "      <th>64</th>\n",
       "      <th>65</th>\n",
       "      <th>66</th>\n",
       "      <th>67</th>\n",
       "      <th>68</th>\n",
       "      <th>69</th>\n",
       "      <th>70</th>\n",
       "      <th>71</th>\n",
       "      <th>72</th>\n",
       "      <th>73</th>\n",
       "      <th>74</th>\n",
       "      <th>75</th>\n",
       "      <th>76</th>\n",
       "      <th>77</th>\n",
       "      <th>78</th>\n",
       "      <th>79</th>\n",
       "      <th>80</th>\n",
       "      <th>81</th>\n",
       "      <th>82</th>\n",
       "      <th>83</th>\n",
       "      <th>84</th>\n",
       "      <th>85</th>\n",
       "      <th>86</th>\n",
       "      <th>87</th>\n",
       "      <th>88</th>\n",
       "      <th>89</th>\n",
       "      <th>90</th>\n",
       "      <th>91</th>\n",
       "      <th>92</th>\n",
       "      <th>93</th>\n",
       "      <th>94</th>\n",
       "      <th>95</th>\n",
       "      <th>96</th>\n",
       "      <th>97</th>\n",
       "      <th>98</th>\n",
       "      <th>99</th>\n",
       "      <th>100</th>\n",
       "      <th>101</th>\n",
       "      <th>102</th>\n",
       "      <th>103</th>\n",
       "      <th>104</th>\n",
       "      <th>105</th>\n",
       "      <th>106</th>\n",
       "      <th>107</th>\n",
       "      <th>108</th>\n",
       "      <th>109</th>\n",
       "      <th>110</th>\n",
       "      <th>111</th>\n",
       "      <th>112</th>\n",
       "      <th>113</th>\n",
       "      <th>114</th>\n",
       "      <th>115</th>\n",
       "      <th>116</th>\n",
       "      <th>117</th>\n",
       "      <th>118</th>\n",
       "      <th>119</th>\n",
       "      <th>120</th>\n",
       "      <th>121</th>\n",
       "      <th>122</th>\n",
       "      <th>123</th>\n",
       "      <th>124</th>\n",
       "      <th>125</th>\n",
       "      <th>126</th>\n",
       "      <th>127</th>\n",
       "      <th>128</th>\n",
       "      <th>129</th>\n",
       "      <th>130</th>\n",
       "      <th>131</th>\n",
       "      <th>132</th>\n",
       "      <th>133</th>\n",
       "      <th>134</th>\n",
       "      <th>135</th>\n",
       "      <th>136</th>\n",
       "      <th>137</th>\n",
       "      <th>138</th>\n",
       "      <th>139</th>\n",
       "      <th>140</th>\n",
       "      <th>141</th>\n",
       "      <th>142</th>\n",
       "      <th>143</th>\n",
       "      <th>144</th>\n",
       "      <th>145</th>\n",
       "      <th>146</th>\n",
       "      <th>147</th>\n",
       "      <th>148</th>\n",
       "      <th>149</th>\n",
       "      <th>150</th>\n",
       "      <th>151</th>\n",
       "      <th>152</th>\n",
       "      <th>153</th>\n",
       "      <th>154</th>\n",
       "      <th>155</th>\n",
       "      <th>156</th>\n",
       "      <th>157</th>\n",
       "      <th>158</th>\n",
       "      <th>159</th>\n",
       "      <th>160</th>\n",
       "      <th>161</th>\n",
       "      <th>162</th>\n",
       "      <th>163</th>\n",
       "      <th>164</th>\n",
       "      <th>165</th>\n",
       "      <th>166</th>\n",
       "      <th>167</th>\n",
       "      <th>168</th>\n",
       "      <th>169</th>\n",
       "      <th>170</th>\n",
       "      <th>171</th>\n",
       "      <th>172</th>\n",
       "      <th>173</th>\n",
       "      <th>174</th>\n",
       "      <th>175</th>\n",
       "      <th>176</th>\n",
       "      <th>177</th>\n",
       "      <th>178</th>\n",
       "      <th>179</th>\n",
       "      <th>180</th>\n",
       "      <th>181</th>\n",
       "      <th>182</th>\n",
       "      <th>183</th>\n",
       "      <th>184</th>\n",
       "      <th>185</th>\n",
       "      <th>186</th>\n",
       "      <th>187</th>\n",
       "      <th>188</th>\n",
       "      <th>189</th>\n",
       "      <th>190</th>\n",
       "      <th>191</th>\n",
       "      <th>192</th>\n",
       "      <th>193</th>\n",
       "      <th>194</th>\n",
       "      <th>195</th>\n",
       "      <th>196</th>\n",
       "      <th>197</th>\n",
       "      <th>198</th>\n",
       "      <th>199</th>\n",
       "      <th>200</th>\n",
       "      <th>201</th>\n",
       "      <th>202</th>\n",
       "      <th>203</th>\n",
       "      <th>204</th>\n",
       "      <th>205</th>\n",
       "      <th>206</th>\n",
       "      <th>207</th>\n",
       "      <th>208</th>\n",
       "      <th>209</th>\n",
       "      <th>210</th>\n",
       "      <th>211</th>\n",
       "      <th>212</th>\n",
       "      <th>213</th>\n",
       "      <th>214</th>\n",
       "      <th>215</th>\n",
       "      <th>216</th>\n",
       "      <th>217</th>\n",
       "      <th>218</th>\n",
       "      <th>219</th>\n",
       "      <th>220</th>\n",
       "      <th>221</th>\n",
       "      <th>222</th>\n",
       "      <th>223</th>\n",
       "      <th>224</th>\n",
       "      <th>225</th>\n",
       "      <th>226</th>\n",
       "      <th>227</th>\n",
       "      <th>228</th>\n",
       "      <th>229</th>\n",
       "      <th>230</th>\n",
       "      <th>231</th>\n",
       "      <th>232</th>\n",
       "      <th>233</th>\n",
       "      <th>234</th>\n",
       "      <th>235</th>\n",
       "      <th>236</th>\n",
       "      <th>237</th>\n",
       "      <th>238</th>\n",
       "      <th>239</th>\n",
       "      <th>240</th>\n",
       "      <th>241</th>\n",
       "      <th>242</th>\n",
       "      <th>243</th>\n",
       "      <th>244</th>\n",
       "      <th>245</th>\n",
       "      <th>246</th>\n",
       "      <th>247</th>\n",
       "      <th>248</th>\n",
       "      <th>249</th>\n",
       "      <th>250</th>\n",
       "      <th>251</th>\n",
       "      <th>252</th>\n",
       "      <th>253</th>\n",
       "      <th>254</th>\n",
       "      <th>255</th>\n",
       "      <th>256</th>\n",
       "      <th>257</th>\n",
       "      <th>258</th>\n",
       "      <th>259</th>\n",
       "      <th>260</th>\n",
       "      <th>261</th>\n",
       "      <th>262</th>\n",
       "      <th>263</th>\n",
       "      <th>264</th>\n",
       "      <th>265</th>\n",
       "      <th>266</th>\n",
       "      <th>267</th>\n",
       "      <th>268</th>\n",
       "      <th>269</th>\n",
       "      <th>270</th>\n",
       "      <th>271</th>\n",
       "      <th>272</th>\n",
       "      <th>273</th>\n",
       "      <th>274</th>\n",
       "      <th>275</th>\n",
       "      <th>276</th>\n",
       "      <th>277</th>\n",
       "      <th>278</th>\n",
       "      <th>279</th>\n",
       "      <th>280</th>\n",
       "      <th>281</th>\n",
       "      <th>282</th>\n",
       "      <th>283</th>\n",
       "      <th>284</th>\n",
       "      <th>285</th>\n",
       "      <th>286</th>\n",
       "      <th>287</th>\n",
       "      <th>288</th>\n",
       "      <th>289</th>\n",
       "      <th>290</th>\n",
       "      <th>291</th>\n",
       "      <th>292</th>\n",
       "      <th>293</th>\n",
       "      <th>294</th>\n",
       "      <th>295</th>\n",
       "      <th>296</th>\n",
       "      <th>297</th>\n",
       "      <th>298</th>\n",
       "      <th>299</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>Price_Point</th>\n",
       "      <td>0.50</td>\n",
       "      <td>0.51</td>\n",
       "      <td>0.52</td>\n",
       "      <td>0.53</td>\n",
       "      <td>0.54</td>\n",
       "      <td>0.55</td>\n",
       "      <td>0.56</td>\n",
       "      <td>0.57</td>\n",
       "      <td>0.58</td>\n",
       "      <td>0.59</td>\n",
       "      <td>0.60</td>\n",
       "      <td>0.61</td>\n",
       "      <td>0.62</td>\n",
       "      <td>0.63</td>\n",
       "      <td>0.64</td>\n",
       "      <td>0.65</td>\n",
       "      <td>0.66</td>\n",
       "      <td>0.67</td>\n",
       "      <td>0.68</td>\n",
       "      <td>0.69</td>\n",
       "      <td>0.70</td>\n",
       "      <td>0.71</td>\n",
       "      <td>0.72</td>\n",
       "      <td>0.73</td>\n",
       "      <td>0.74</td>\n",
       "      <td>0.75</td>\n",
       "      <td>0.76</td>\n",
       "      <td>0.77</td>\n",
       "      <td>0.78</td>\n",
       "      <td>0.79</td>\n",
       "      <td>0.80</td>\n",
       "      <td>0.81</td>\n",
       "      <td>0.82</td>\n",
       "      <td>0.83</td>\n",
       "      <td>0.84</td>\n",
       "      <td>0.85</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.87</td>\n",
       "      <td>0.88</td>\n",
       "      <td>0.89</td>\n",
       "      <td>0.90</td>\n",
       "      <td>0.91</td>\n",
       "      <td>0.92</td>\n",
       "      <td>0.93</td>\n",
       "      <td>0.94</td>\n",
       "      <td>0.95</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.97</td>\n",
       "      <td>0.98</td>\n",
       "      <td>0.99</td>\n",
       "      <td>1.00</td>\n",
       "      <td>1.01</td>\n",
       "      <td>1.02</td>\n",
       "      <td>1.03</td>\n",
       "      <td>1.04</td>\n",
       "      <td>1.05</td>\n",
       "      <td>1.06</td>\n",
       "      <td>1.07</td>\n",
       "      <td>1.08</td>\n",
       "      <td>1.09</td>\n",
       "      <td>1.10</td>\n",
       "      <td>1.11</td>\n",
       "      <td>1.12</td>\n",
       "      <td>1.13</td>\n",
       "      <td>1.14</td>\n",
       "      <td>1.15</td>\n",
       "      <td>1.16</td>\n",
       "      <td>1.17</td>\n",
       "      <td>1.18</td>\n",
       "      <td>1.19</td>\n",
       "      <td>1.20</td>\n",
       "      <td>1.21</td>\n",
       "      <td>1.22</td>\n",
       "      <td>1.23</td>\n",
       "      <td>1.24</td>\n",
       "      <td>1.25</td>\n",
       "      <td>1.26</td>\n",
       "      <td>1.27</td>\n",
       "      <td>1.28</td>\n",
       "      <td>1.29</td>\n",
       "      <td>1.30</td>\n",
       "      <td>1.31</td>\n",
       "      <td>1.32</td>\n",
       "      <td>1.33</td>\n",
       "      <td>1.34</td>\n",
       "      <td>1.35</td>\n",
       "      <td>1.36</td>\n",
       "      <td>1.37</td>\n",
       "      <td>1.38</td>\n",
       "      <td>1.39</td>\n",
       "      <td>1.40</td>\n",
       "      <td>1.41</td>\n",
       "      <td>1.42</td>\n",
       "      <td>1.43</td>\n",
       "      <td>1.44</td>\n",
       "      <td>1.45</td>\n",
       "      <td>1.46</td>\n",
       "      <td>1.47</td>\n",
       "      <td>1.48</td>\n",
       "      <td>1.49</td>\n",
       "      <td>1.50</td>\n",
       "      <td>1.51</td>\n",
       "      <td>1.52</td>\n",
       "      <td>1.53</td>\n",
       "      <td>1.54</td>\n",
       "      <td>1.55</td>\n",
       "      <td>1.56</td>\n",
       "      <td>1.57</td>\n",
       "      <td>1.58</td>\n",
       "      <td>1.59</td>\n",
       "      <td>1.60</td>\n",
       "      <td>1.61</td>\n",
       "      <td>1.62</td>\n",
       "      <td>1.63</td>\n",
       "      <td>1.64</td>\n",
       "      <td>1.65</td>\n",
       "      <td>1.66</td>\n",
       "      <td>1.67</td>\n",
       "      <td>1.68</td>\n",
       "      <td>1.69</td>\n",
       "      <td>1.70</td>\n",
       "      <td>1.71</td>\n",
       "      <td>1.72</td>\n",
       "      <td>1.73</td>\n",
       "      <td>1.74</td>\n",
       "      <td>1.75</td>\n",
       "      <td>1.76</td>\n",
       "      <td>1.77</td>\n",
       "      <td>1.78</td>\n",
       "      <td>1.79</td>\n",
       "      <td>1.80</td>\n",
       "      <td>1.81</td>\n",
       "      <td>1.82</td>\n",
       "      <td>1.83</td>\n",
       "      <td>1.84</td>\n",
       "      <td>1.85</td>\n",
       "      <td>1.86</td>\n",
       "      <td>1.87</td>\n",
       "      <td>1.88</td>\n",
       "      <td>1.89</td>\n",
       "      <td>1.90</td>\n",
       "      <td>1.91</td>\n",
       "      <td>1.92</td>\n",
       "      <td>1.93</td>\n",
       "      <td>1.94</td>\n",
       "      <td>1.95</td>\n",
       "      <td>1.96</td>\n",
       "      <td>1.97</td>\n",
       "      <td>1.98</td>\n",
       "      <td>1.99</td>\n",
       "      <td>2.00</td>\n",
       "      <td>2.01</td>\n",
       "      <td>2.02</td>\n",
       "      <td>2.03</td>\n",
       "      <td>2.04</td>\n",
       "      <td>2.05</td>\n",
       "      <td>2.06</td>\n",
       "      <td>2.07</td>\n",
       "      <td>2.08</td>\n",
       "      <td>2.09</td>\n",
       "      <td>2.10</td>\n",
       "      <td>2.11</td>\n",
       "      <td>2.12</td>\n",
       "      <td>2.13</td>\n",
       "      <td>2.14</td>\n",
       "      <td>2.15</td>\n",
       "      <td>2.16</td>\n",
       "      <td>2.17</td>\n",
       "      <td>2.18</td>\n",
       "      <td>2.19</td>\n",
       "      <td>2.20</td>\n",
       "      <td>2.21</td>\n",
       "      <td>2.22</td>\n",
       "      <td>2.23</td>\n",
       "      <td>2.24</td>\n",
       "      <td>2.25</td>\n",
       "      <td>2.26</td>\n",
       "      <td>2.27</td>\n",
       "      <td>2.28</td>\n",
       "      <td>2.29</td>\n",
       "      <td>2.30</td>\n",
       "      <td>2.31</td>\n",
       "      <td>2.32</td>\n",
       "      <td>2.33</td>\n",
       "      <td>2.34</td>\n",
       "      <td>2.35</td>\n",
       "      <td>2.36</td>\n",
       "      <td>2.37</td>\n",
       "      <td>2.38</td>\n",
       "      <td>2.39</td>\n",
       "      <td>2.40</td>\n",
       "      <td>2.41</td>\n",
       "      <td>2.42</td>\n",
       "      <td>2.43</td>\n",
       "      <td>2.44</td>\n",
       "      <td>2.45</td>\n",
       "      <td>2.46</td>\n",
       "      <td>2.47</td>\n",
       "      <td>2.48</td>\n",
       "      <td>2.49</td>\n",
       "      <td>2.50</td>\n",
       "      <td>2.51</td>\n",
       "      <td>2.52</td>\n",
       "      <td>2.53</td>\n",
       "      <td>2.54</td>\n",
       "      <td>2.55</td>\n",
       "      <td>2.56</td>\n",
       "      <td>2.57</td>\n",
       "      <td>2.58</td>\n",
       "      <td>2.59</td>\n",
       "      <td>2.60</td>\n",
       "      <td>2.61</td>\n",
       "      <td>2.62</td>\n",
       "      <td>2.63</td>\n",
       "      <td>2.64</td>\n",
       "      <td>2.65</td>\n",
       "      <td>2.66</td>\n",
       "      <td>2.67</td>\n",
       "      <td>2.68</td>\n",
       "      <td>2.69</td>\n",
       "      <td>2.70</td>\n",
       "      <td>2.71</td>\n",
       "      <td>2.72</td>\n",
       "      <td>2.73</td>\n",
       "      <td>2.74</td>\n",
       "      <td>2.75</td>\n",
       "      <td>2.76</td>\n",
       "      <td>2.77</td>\n",
       "      <td>2.78</td>\n",
       "      <td>2.79</td>\n",
       "      <td>2.80</td>\n",
       "      <td>2.81</td>\n",
       "      <td>2.82</td>\n",
       "      <td>2.83</td>\n",
       "      <td>2.84</td>\n",
       "      <td>2.85</td>\n",
       "      <td>2.86</td>\n",
       "      <td>2.87</td>\n",
       "      <td>2.88</td>\n",
       "      <td>2.89</td>\n",
       "      <td>2.90</td>\n",
       "      <td>2.91</td>\n",
       "      <td>2.92</td>\n",
       "      <td>2.93</td>\n",
       "      <td>2.94</td>\n",
       "      <td>2.95</td>\n",
       "      <td>2.96</td>\n",
       "      <td>2.97</td>\n",
       "      <td>2.98</td>\n",
       "      <td>2.99</td>\n",
       "      <td>3.00</td>\n",
       "      <td>3.01</td>\n",
       "      <td>3.02</td>\n",
       "      <td>3.03</td>\n",
       "      <td>3.04</td>\n",
       "      <td>3.05</td>\n",
       "      <td>3.06</td>\n",
       "      <td>3.07</td>\n",
       "      <td>3.08</td>\n",
       "      <td>3.09</td>\n",
       "      <td>3.10</td>\n",
       "      <td>3.11</td>\n",
       "      <td>3.12</td>\n",
       "      <td>3.13</td>\n",
       "      <td>3.14</td>\n",
       "      <td>3.15</td>\n",
       "      <td>3.16</td>\n",
       "      <td>3.17</td>\n",
       "      <td>3.18</td>\n",
       "      <td>3.19</td>\n",
       "      <td>3.20</td>\n",
       "      <td>3.21</td>\n",
       "      <td>3.22</td>\n",
       "      <td>3.23</td>\n",
       "      <td>3.24</td>\n",
       "      <td>3.25</td>\n",
       "      <td>3.26</td>\n",
       "      <td>3.27</td>\n",
       "      <td>3.28</td>\n",
       "      <td>3.29</td>\n",
       "      <td>3.30</td>\n",
       "      <td>3.31</td>\n",
       "      <td>3.32</td>\n",
       "      <td>3.33</td>\n",
       "      <td>3.34</td>\n",
       "      <td>3.35</td>\n",
       "      <td>3.36</td>\n",
       "      <td>3.37</td>\n",
       "      <td>3.38</td>\n",
       "      <td>3.39</td>\n",
       "      <td>3.40</td>\n",
       "      <td>3.41</td>\n",
       "      <td>3.42</td>\n",
       "      <td>3.43</td>\n",
       "      <td>3.44</td>\n",
       "      <td>3.45</td>\n",
       "      <td>3.46</td>\n",
       "      <td>3.47</td>\n",
       "      <td>3.48</td>\n",
       "      <td>3.49</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Mean_PE</th>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.10</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.23</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-1.43</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>-1.52</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.58</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>-1.87</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.04</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.21</td>\n",
       "      <td>-2.25</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.39</td>\n",
       "      <td>-2.43</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.58</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-2.92</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.15</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.22</td>\n",
       "      <td>-3.26</td>\n",
       "      <td>-3.30</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.38</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.45</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.53</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.64</td>\n",
       "      <td>-3.68</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.83</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.17</td>\n",
       "      <td>-4.21</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.28</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.35</td>\n",
       "      <td>-4.39</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.46</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.71</td>\n",
       "      <td>-4.75</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-4.82</td>\n",
       "      <td>-4.85</td>\n",
       "      <td>-4.89</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.96</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.02</td>\n",
       "      <td>-5.06</td>\n",
       "      <td>-5.09</td>\n",
       "      <td>-5.13</td>\n",
       "      <td>-5.16</td>\n",
       "      <td>-5.19</td>\n",
       "      <td>-5.23</td>\n",
       "      <td>-5.26</td>\n",
       "      <td>-5.29</td>\n",
       "      <td>-5.33</td>\n",
       "      <td>-5.36</td>\n",
       "      <td>-5.39</td>\n",
       "      <td>-5.42</td>\n",
       "      <td>-5.46</td>\n",
       "      <td>-5.49</td>\n",
       "      <td>-5.52</td>\n",
       "      <td>-5.55</td>\n",
       "      <td>-5.59</td>\n",
       "      <td>-5.62</td>\n",
       "      <td>-5.65</td>\n",
       "      <td>-5.68</td>\n",
       "      <td>-5.71</td>\n",
       "      <td>-5.74</td>\n",
       "      <td>-5.77</td>\n",
       "      <td>-5.81</td>\n",
       "      <td>-5.84</td>\n",
       "      <td>-5.87</td>\n",
       "      <td>-5.90</td>\n",
       "      <td>-5.93</td>\n",
       "      <td>-5.96</td>\n",
       "      <td>-5.99</td>\n",
       "      <td>-6.02</td>\n",
       "      <td>-6.05</td>\n",
       "      <td>-6.08</td>\n",
       "      <td>-6.11</td>\n",
       "      <td>-6.14</td>\n",
       "      <td>-6.17</td>\n",
       "      <td>-6.20</td>\n",
       "      <td>-6.23</td>\n",
       "      <td>-6.26</td>\n",
       "      <td>-6.29</td>\n",
       "      <td>-6.32</td>\n",
       "      <td>-6.35</td>\n",
       "      <td>-6.38</td>\n",
       "      <td>-6.40</td>\n",
       "      <td>-6.43</td>\n",
       "      <td>-6.46</td>\n",
       "      <td>-6.49</td>\n",
       "      <td>-6.52</td>\n",
       "      <td>-6.55</td>\n",
       "      <td>-6.58</td>\n",
       "      <td>-6.60</td>\n",
       "      <td>-6.63</td>\n",
       "      <td>-6.66</td>\n",
       "      <td>-6.69</td>\n",
       "      <td>-6.72</td>\n",
       "      <td>-6.75</td>\n",
       "      <td>-6.77</td>\n",
       "      <td>-6.80</td>\n",
       "      <td>-6.83</td>\n",
       "      <td>-6.86</td>\n",
       "      <td>-6.88</td>\n",
       "      <td>-6.91</td>\n",
       "      <td>-6.94</td>\n",
       "      <td>-6.97</td>\n",
       "      <td>-6.99</td>\n",
       "      <td>-7.02</td>\n",
       "      <td>-7.05</td>\n",
       "      <td>-7.07</td>\n",
       "      <td>-7.10</td>\n",
       "      <td>-7.13</td>\n",
       "      <td>-7.16</td>\n",
       "      <td>-7.18</td>\n",
       "      <td>-7.21</td>\n",
       "      <td>-7.24</td>\n",
       "      <td>-7.26</td>\n",
       "      <td>-7.29</td>\n",
       "      <td>-7.32</td>\n",
       "      <td>-7.34</td>\n",
       "      <td>-7.37</td>\n",
       "      <td>-7.39</td>\n",
       "      <td>-7.42</td>\n",
       "      <td>-7.45</td>\n",
       "      <td>-7.47</td>\n",
       "      <td>-7.50</td>\n",
       "      <td>-7.53</td>\n",
       "      <td>-7.55</td>\n",
       "      <td>-7.58</td>\n",
       "      <td>-7.60</td>\n",
       "      <td>-7.63</td>\n",
       "      <td>-7.66</td>\n",
       "      <td>-7.68</td>\n",
       "      <td>-7.71</td>\n",
       "      <td>-7.73</td>\n",
       "      <td>-7.76</td>\n",
       "      <td>-7.78</td>\n",
       "      <td>-7.81</td>\n",
       "      <td>-7.83</td>\n",
       "      <td>-7.86</td>\n",
       "      <td>-7.89</td>\n",
       "      <td>-7.91</td>\n",
       "      <td>-7.94</td>\n",
       "      <td>-7.96</td>\n",
       "      <td>-7.99</td>\n",
       "      <td>-8.01</td>\n",
       "      <td>-8.04</td>\n",
       "      <td>-8.06</td>\n",
       "      <td>-8.09</td>\n",
       "      <td>-8.11</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_0_FO</th>\n",
       "      <td>-0.03</td>\n",
       "      <td>-0.03</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.04</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.05</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.06</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.07</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>-0.08</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.09</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.10</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.11</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.74</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.07</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.23</td>\n",
       "      <td>-1.28</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.56</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.76</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.23</td>\n",
       "      <td>-2.29</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.49</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.62</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.76</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.90</td>\n",
       "      <td>-2.97</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.25</td>\n",
       "      <td>-3.33</td>\n",
       "      <td>-3.40</td>\n",
       "      <td>-3.48</td>\n",
       "      <td>-3.55</td>\n",
       "      <td>-3.62</td>\n",
       "      <td>-3.70</td>\n",
       "      <td>-3.78</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-4.00</td>\n",
       "      <td>-4.08</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.23</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.46</td>\n",
       "      <td>-4.53</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.69</td>\n",
       "      <td>-4.76</td>\n",
       "      <td>-4.84</td>\n",
       "      <td>-4.91</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.06</td>\n",
       "      <td>-5.13</td>\n",
       "      <td>-5.21</td>\n",
       "      <td>-5.28</td>\n",
       "      <td>-5.35</td>\n",
       "      <td>-5.43</td>\n",
       "      <td>-5.50</td>\n",
       "      <td>-5.57</td>\n",
       "      <td>-5.64</td>\n",
       "      <td>-5.71</td>\n",
       "      <td>-5.78</td>\n",
       "      <td>-5.85</td>\n",
       "      <td>-5.92</td>\n",
       "      <td>-5.99</td>\n",
       "      <td>-6.06</td>\n",
       "      <td>-6.13</td>\n",
       "      <td>-6.19</td>\n",
       "      <td>-6.26</td>\n",
       "      <td>-6.33</td>\n",
       "      <td>-6.39</td>\n",
       "      <td>-6.46</td>\n",
       "      <td>-6.52</td>\n",
       "      <td>-6.59</td>\n",
       "      <td>-6.65</td>\n",
       "      <td>-6.71</td>\n",
       "      <td>-6.78</td>\n",
       "      <td>-6.84</td>\n",
       "      <td>-6.90</td>\n",
       "      <td>-6.96</td>\n",
       "      <td>-7.02</td>\n",
       "      <td>-7.08</td>\n",
       "      <td>-7.14</td>\n",
       "      <td>-7.20</td>\n",
       "      <td>-7.26</td>\n",
       "      <td>-7.31</td>\n",
       "      <td>-7.37</td>\n",
       "      <td>-7.43</td>\n",
       "      <td>-7.48</td>\n",
       "      <td>-7.54</td>\n",
       "      <td>-7.59</td>\n",
       "      <td>-7.65</td>\n",
       "      <td>-7.70</td>\n",
       "      <td>-7.76</td>\n",
       "      <td>-7.81</td>\n",
       "      <td>-7.86</td>\n",
       "      <td>-7.92</td>\n",
       "      <td>-7.97</td>\n",
       "      <td>-8.02</td>\n",
       "      <td>-8.07</td>\n",
       "      <td>-8.12</td>\n",
       "      <td>-8.17</td>\n",
       "      <td>-8.22</td>\n",
       "      <td>-8.27</td>\n",
       "      <td>-8.32</td>\n",
       "      <td>-8.37</td>\n",
       "      <td>-8.42</td>\n",
       "      <td>-8.47</td>\n",
       "      <td>-8.52</td>\n",
       "      <td>-8.56</td>\n",
       "      <td>-8.61</td>\n",
       "      <td>-8.66</td>\n",
       "      <td>-8.70</td>\n",
       "      <td>-8.75</td>\n",
       "      <td>-8.80</td>\n",
       "      <td>-8.84</td>\n",
       "      <td>-8.89</td>\n",
       "      <td>-8.93</td>\n",
       "      <td>-8.98</td>\n",
       "      <td>-9.02</td>\n",
       "      <td>-9.07</td>\n",
       "      <td>-9.11</td>\n",
       "      <td>-9.16</td>\n",
       "      <td>-9.20</td>\n",
       "      <td>-9.24</td>\n",
       "      <td>-9.29</td>\n",
       "      <td>-9.33</td>\n",
       "      <td>-9.37</td>\n",
       "      <td>-9.41</td>\n",
       "      <td>-9.46</td>\n",
       "      <td>-9.50</td>\n",
       "      <td>-9.54</td>\n",
       "      <td>-9.58</td>\n",
       "      <td>-9.62</td>\n",
       "      <td>-9.67</td>\n",
       "      <td>-9.71</td>\n",
       "      <td>-9.75</td>\n",
       "      <td>-9.79</td>\n",
       "      <td>-9.83</td>\n",
       "      <td>-9.87</td>\n",
       "      <td>-9.91</td>\n",
       "      <td>-9.95</td>\n",
       "      <td>-9.99</td>\n",
       "      <td>-10.03</td>\n",
       "      <td>-10.07</td>\n",
       "      <td>-10.11</td>\n",
       "      <td>-10.15</td>\n",
       "      <td>-10.19</td>\n",
       "      <td>-10.23</td>\n",
       "      <td>-10.27</td>\n",
       "      <td>-10.31</td>\n",
       "      <td>-10.35</td>\n",
       "      <td>-10.39</td>\n",
       "      <td>-10.43</td>\n",
       "      <td>-10.47</td>\n",
       "      <td>-10.51</td>\n",
       "      <td>-10.55</td>\n",
       "      <td>-10.58</td>\n",
       "      <td>-10.62</td>\n",
       "      <td>-10.66</td>\n",
       "      <td>-10.70</td>\n",
       "      <td>-10.74</td>\n",
       "      <td>-10.78</td>\n",
       "      <td>-10.82</td>\n",
       "      <td>-10.85</td>\n",
       "      <td>-10.89</td>\n",
       "      <td>-10.93</td>\n",
       "      <td>-10.97</td>\n",
       "      <td>-11.01</td>\n",
       "      <td>-11.04</td>\n",
       "      <td>-11.08</td>\n",
       "      <td>-11.12</td>\n",
       "      <td>-11.16</td>\n",
       "      <td>-11.19</td>\n",
       "      <td>-11.23</td>\n",
       "      <td>-11.27</td>\n",
       "      <td>-11.31</td>\n",
       "      <td>-11.34</td>\n",
       "      <td>-11.38</td>\n",
       "      <td>-11.42</td>\n",
       "      <td>-11.46</td>\n",
       "      <td>-11.49</td>\n",
       "      <td>-11.53</td>\n",
       "      <td>-11.57</td>\n",
       "      <td>-11.61</td>\n",
       "      <td>-11.64</td>\n",
       "      <td>-11.68</td>\n",
       "      <td>-11.72</td>\n",
       "      <td>-11.75</td>\n",
       "      <td>-11.79</td>\n",
       "      <td>-11.83</td>\n",
       "      <td>-11.86</td>\n",
       "      <td>-11.90</td>\n",
       "      <td>-11.94</td>\n",
       "      <td>-11.98</td>\n",
       "      <td>-12.01</td>\n",
       "      <td>-12.05</td>\n",
       "      <td>-12.09</td>\n",
       "      <td>-12.12</td>\n",
       "      <td>-12.16</td>\n",
       "      <td>-12.20</td>\n",
       "      <td>-12.23</td>\n",
       "      <td>-12.27</td>\n",
       "      <td>-12.31</td>\n",
       "      <td>-12.34</td>\n",
       "      <td>-12.38</td>\n",
       "      <td>-12.42</td>\n",
       "      <td>-12.45</td>\n",
       "      <td>-12.49</td>\n",
       "      <td>-12.53</td>\n",
       "      <td>-12.56</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_1_Cf</th>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.12</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.78</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.82</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.95</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.07</td>\n",
       "      <td>-1.09</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.28</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.38</td>\n",
       "      <td>-1.40</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.50</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.68</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.72</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.91</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.95</td>\n",
       "      <td>-1.98</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.10</td>\n",
       "      <td>-2.12</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.19</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.27</td>\n",
       "      <td>-2.29</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.34</td>\n",
       "      <td>-2.37</td>\n",
       "      <td>-2.39</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.44</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.49</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.56</td>\n",
       "      <td>-2.59</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.64</td>\n",
       "      <td>-2.66</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.72</td>\n",
       "      <td>-2.74</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.79</td>\n",
       "      <td>-2.82</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.87</td>\n",
       "      <td>-2.89</td>\n",
       "      <td>-2.92</td>\n",
       "      <td>-2.94</td>\n",
       "      <td>-2.97</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-3.02</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-3.09</td>\n",
       "      <td>-3.12</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.17</td>\n",
       "      <td>-3.19</td>\n",
       "      <td>-3.22</td>\n",
       "      <td>-3.24</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.32</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.47</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.54</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>-3.62</td>\n",
       "      <td>-3.64</td>\n",
       "      <td>-3.67</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.79</td>\n",
       "      <td>-3.81</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.86</td>\n",
       "      <td>-3.88</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.01</td>\n",
       "      <td>-4.03</td>\n",
       "      <td>-4.05</td>\n",
       "      <td>-4.08</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.12</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.17</td>\n",
       "      <td>-4.20</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.27</td>\n",
       "      <td>-4.29</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.40</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.45</td>\n",
       "      <td>-4.47</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.52</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.63</td>\n",
       "      <td>-4.66</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.70</td>\n",
       "      <td>-4.72</td>\n",
       "      <td>-4.75</td>\n",
       "      <td>-4.77</td>\n",
       "      <td>-4.79</td>\n",
       "      <td>-4.81</td>\n",
       "      <td>-4.83</td>\n",
       "      <td>-4.86</td>\n",
       "      <td>-4.88</td>\n",
       "      <td>-4.90</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.94</td>\n",
       "      <td>-4.97</td>\n",
       "      <td>-4.99</td>\n",
       "      <td>-5.01</td>\n",
       "      <td>-5.03</td>\n",
       "      <td>-5.05</td>\n",
       "      <td>-5.07</td>\n",
       "      <td>-5.10</td>\n",
       "      <td>-5.12</td>\n",
       "      <td>-5.14</td>\n",
       "      <td>-5.16</td>\n",
       "      <td>-5.18</td>\n",
       "      <td>-5.20</td>\n",
       "      <td>-5.22</td>\n",
       "      <td>-5.25</td>\n",
       "      <td>-5.27</td>\n",
       "      <td>-5.29</td>\n",
       "      <td>-5.31</td>\n",
       "      <td>-5.33</td>\n",
       "      <td>-5.35</td>\n",
       "      <td>-5.37</td>\n",
       "      <td>-5.39</td>\n",
       "      <td>-5.41</td>\n",
       "      <td>-5.44</td>\n",
       "      <td>-5.46</td>\n",
       "      <td>-5.48</td>\n",
       "      <td>-5.50</td>\n",
       "      <td>-5.52</td>\n",
       "      <td>-5.54</td>\n",
       "      <td>-5.56</td>\n",
       "      <td>-5.58</td>\n",
       "      <td>-5.60</td>\n",
       "      <td>-5.62</td>\n",
       "      <td>-5.64</td>\n",
       "      <td>-5.66</td>\n",
       "      <td>-5.68</td>\n",
       "      <td>-5.70</td>\n",
       "      <td>-5.72</td>\n",
       "      <td>-5.74</td>\n",
       "      <td>-5.76</td>\n",
       "      <td>-5.78</td>\n",
       "      <td>-5.80</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_2_Strd</th>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.70</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.85</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.88</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.06</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.09</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.12</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.20</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.25</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.58</td>\n",
       "      <td>-1.60</td>\n",
       "      <td>-1.62</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.69</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.92</td>\n",
       "      <td>-1.94</td>\n",
       "      <td>-1.96</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.01</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.09</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.19</td>\n",
       "      <td>-2.20</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.30</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.34</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.38</td>\n",
       "      <td>-2.40</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.44</td>\n",
       "      <td>-2.46</td>\n",
       "      <td>-2.48</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.52</td>\n",
       "      <td>-2.54</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>-2.59</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.63</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.67</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.71</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.75</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.79</td>\n",
       "      <td>-2.81</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.85</td>\n",
       "      <td>-2.87</td>\n",
       "      <td>-2.89</td>\n",
       "      <td>-2.91</td>\n",
       "      <td>-2.93</td>\n",
       "      <td>-2.94</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.98</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>-3.02</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.06</td>\n",
       "      <td>-3.08</td>\n",
       "      <td>-3.10</td>\n",
       "      <td>-3.12</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.20</td>\n",
       "      <td>-3.21</td>\n",
       "      <td>-3.23</td>\n",
       "      <td>-3.25</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.31</td>\n",
       "      <td>-3.33</td>\n",
       "      <td>-3.35</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.41</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.46</td>\n",
       "      <td>-3.48</td>\n",
       "      <td>-3.50</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.54</td>\n",
       "      <td>-3.56</td>\n",
       "      <td>-3.58</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.65</td>\n",
       "      <td>-3.67</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.73</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.78</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.82</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.89</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.00</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.04</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>-4.07</td>\n",
       "      <td>-4.09</td>\n",
       "      <td>-4.11</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.16</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>-4.20</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.25</td>\n",
       "      <td>-4.27</td>\n",
       "      <td>-4.29</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.40</td>\n",
       "      <td>-4.41</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.45</td>\n",
       "      <td>-4.47</td>\n",
       "      <td>-4.48</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.52</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.55</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.62</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.66</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.69</td>\n",
       "      <td>-4.71</td>\n",
       "      <td>-4.73</td>\n",
       "      <td>-4.74</td>\n",
       "      <td>-4.76</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-4.80</td>\n",
       "      <td>-4.81</td>\n",
       "      <td>-4.83</td>\n",
       "      <td>-4.85</td>\n",
       "      <td>-4.86</td>\n",
       "      <td>-4.88</td>\n",
       "      <td>-4.90</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.93</td>\n",
       "      <td>-4.95</td>\n",
       "      <td>-4.97</td>\n",
       "      <td>-4.98</td>\n",
       "      <td>-5.00</td>\n",
       "      <td>-5.02</td>\n",
       "      <td>-5.03</td>\n",
       "      <td>-5.05</td>\n",
       "      <td>-5.07</td>\n",
       "      <td>-5.09</td>\n",
       "      <td>-5.10</td>\n",
       "      <td>-5.12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>PE_Segment_3_WO</th>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.70</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.74</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.78</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.81</td>\n",
       "      <td>-0.82</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.88</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.95</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.98</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>-1.01</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.04</td>\n",
       "      <td>-1.06</td>\n",
       "      <td>-1.07</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.10</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.12</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>-1.15</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>-1.18</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.21</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.25</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.28</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.35</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.38</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.45</td>\n",
       "      <td>-1.47</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.50</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.54</td>\n",
       "      <td>-1.56</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.62</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.68</td>\n",
       "      <td>-1.70</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.76</td>\n",
       "      <td>-1.78</td>\n",
       "      <td>-1.79</td>\n",
       "      <td>-1.81</td>\n",
       "      <td>-1.83</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.87</td>\n",
       "      <td>-1.89</td>\n",
       "      <td>-1.91</td>\n",
       "      <td>-1.92</td>\n",
       "      <td>-1.94</td>\n",
       "      <td>-1.95</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.02</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.08</td>\n",
       "      <td>-2.10</td>\n",
       "      <td>-2.12</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>-2.15</td>\n",
       "      <td>-2.17</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.20</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.23</td>\n",
       "      <td>-2.25</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.30</td>\n",
       "      <td>-2.31</td>\n",
       "      <td>-2.33</td>\n",
       "      <td>-2.35</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.38</td>\n",
       "      <td>-2.40</td>\n",
       "      <td>-2.41</td>\n",
       "      <td>-2.43</td>\n",
       "      <td>-2.45</td>\n",
       "      <td>-2.46</td>\n",
       "      <td>-2.48</td>\n",
       "      <td>-2.50</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-2.53</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.56</td>\n",
       "      <td>-2.58</td>\n",
       "      <td>-2.60</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.63</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.66</td>\n",
       "      <td>-2.68</td>\n",
       "      <td>-2.70</td>\n",
       "      <td>-2.71</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.75</td>\n",
       "      <td>-2.76</td>\n",
       "      <td>-2.78</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>-2.81</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.85</td>\n",
       "      <td>-2.86</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-2.90</td>\n",
       "      <td>-2.91</td>\n",
       "      <td>-2.93</td>\n",
       "      <td>-2.95</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.98</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>-3.01</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>-3.05</td>\n",
       "      <td>-3.06</td>\n",
       "      <td>-3.08</td>\n",
       "      <td>-3.09</td>\n",
       "      <td>-3.11</td>\n",
       "      <td>-3.13</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.19</td>\n",
       "      <td>-3.21</td>\n",
       "      <td>-3.23</td>\n",
       "      <td>-3.24</td>\n",
       "      <td>-3.26</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.31</td>\n",
       "      <td>-3.32</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.36</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.40</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.45</td>\n",
       "      <td>-3.47</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.50</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.53</td>\n",
       "      <td>-3.55</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.58</td>\n",
       "      <td>-3.60</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.65</td>\n",
       "      <td>-3.66</td>\n",
       "      <td>-3.68</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.77</td>\n",
       "      <td>-3.79</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.82</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.88</td>\n",
       "      <td>-3.90</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.94</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-3.99</td>\n",
       "      <td>-4.01</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.04</td>\n",
       "      <td>-4.05</td>\n",
       "      <td>-4.07</td>\n",
       "      <td>-4.08</td>\n",
       "      <td>-4.10</td>\n",
       "      <td>-4.12</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.16</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>-4.19</td>\n",
       "      <td>-4.21</td>\n",
       "      <td>-4.22</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Elasticity_Promotion_1</th>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.13</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.14</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.15</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.16</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.17</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.18</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.19</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.61</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.67</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.70</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.74</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.77</td>\n",
       "      <td>-0.78</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.82</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.91</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.06</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.09</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.21</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.38</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.43</td>\n",
       "      <td>-1.45</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.50</td>\n",
       "      <td>-1.52</td>\n",
       "      <td>-1.54</td>\n",
       "      <td>-1.56</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.59</td>\n",
       "      <td>-1.61</td>\n",
       "      <td>-1.63</td>\n",
       "      <td>-1.65</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.69</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.72</td>\n",
       "      <td>-1.74</td>\n",
       "      <td>-1.76</td>\n",
       "      <td>-1.78</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.92</td>\n",
       "      <td>-1.94</td>\n",
       "      <td>-1.96</td>\n",
       "      <td>-1.98</td>\n",
       "      <td>-2.00</td>\n",
       "      <td>-2.02</td>\n",
       "      <td>-2.04</td>\n",
       "      <td>-2.06</td>\n",
       "      <td>-2.08</td>\n",
       "      <td>-2.10</td>\n",
       "      <td>-2.12</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-2.16</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.20</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.30</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.34</td>\n",
       "      <td>-2.37</td>\n",
       "      <td>-2.39</td>\n",
       "      <td>-2.41</td>\n",
       "      <td>-2.43</td>\n",
       "      <td>-2.45</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.49</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-2.53</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>-2.59</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.64</td>\n",
       "      <td>-2.66</td>\n",
       "      <td>-2.68</td>\n",
       "      <td>-2.70</td>\n",
       "      <td>-2.72</td>\n",
       "      <td>-2.74</td>\n",
       "      <td>-2.76</td>\n",
       "      <td>-2.78</td>\n",
       "      <td>-2.80</td>\n",
       "      <td>-2.82</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.87</td>\n",
       "      <td>-2.89</td>\n",
       "      <td>-2.91</td>\n",
       "      <td>-2.93</td>\n",
       "      <td>-2.95</td>\n",
       "      <td>-2.97</td>\n",
       "      <td>-2.99</td>\n",
       "      <td>-3.01</td>\n",
       "      <td>-3.03</td>\n",
       "      <td>-3.05</td>\n",
       "      <td>-3.07</td>\n",
       "      <td>-3.10</td>\n",
       "      <td>-3.12</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>-3.18</td>\n",
       "      <td>-3.20</td>\n",
       "      <td>-3.22</td>\n",
       "      <td>-3.24</td>\n",
       "      <td>-3.26</td>\n",
       "      <td>-3.28</td>\n",
       "      <td>-3.30</td>\n",
       "      <td>-3.32</td>\n",
       "      <td>-3.34</td>\n",
       "      <td>-3.36</td>\n",
       "      <td>-3.38</td>\n",
       "      <td>-3.41</td>\n",
       "      <td>-3.43</td>\n",
       "      <td>-3.45</td>\n",
       "      <td>-3.47</td>\n",
       "      <td>-3.49</td>\n",
       "      <td>-3.51</td>\n",
       "      <td>-3.53</td>\n",
       "      <td>-3.55</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.65</td>\n",
       "      <td>-3.67</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.73</td>\n",
       "      <td>-3.75</td>\n",
       "      <td>-3.77</td>\n",
       "      <td>-3.79</td>\n",
       "      <td>-3.81</td>\n",
       "      <td>-3.83</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.89</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.97</td>\n",
       "      <td>-3.99</td>\n",
       "      <td>-4.01</td>\n",
       "      <td>-4.03</td>\n",
       "      <td>-4.05</td>\n",
       "      <td>-4.07</td>\n",
       "      <td>-4.09</td>\n",
       "      <td>-4.11</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.17</td>\n",
       "      <td>-4.19</td>\n",
       "      <td>-4.20</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.26</td>\n",
       "      <td>-4.28</td>\n",
       "      <td>-4.30</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.40</td>\n",
       "      <td>-4.42</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.45</td>\n",
       "      <td>-4.47</td>\n",
       "      <td>-4.49</td>\n",
       "      <td>-4.51</td>\n",
       "      <td>-4.53</td>\n",
       "      <td>-4.55</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>-4.60</td>\n",
       "      <td>-4.62</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.66</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.70</td>\n",
       "      <td>-4.72</td>\n",
       "      <td>-4.73</td>\n",
       "      <td>-4.75</td>\n",
       "      <td>-4.77</td>\n",
       "      <td>-4.79</td>\n",
       "      <td>-4.81</td>\n",
       "      <td>-4.83</td>\n",
       "      <td>-4.84</td>\n",
       "      <td>-4.86</td>\n",
       "      <td>-4.88</td>\n",
       "      <td>-4.90</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.93</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Elasticity_Promotion_0</th>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.20</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.21</td>\n",
       "      <td>-0.22</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.23</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.25</td>\n",
       "      <td>-0.26</td>\n",
       "      <td>-0.27</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.28</td>\n",
       "      <td>-0.29</td>\n",
       "      <td>-0.30</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.31</td>\n",
       "      <td>-0.32</td>\n",
       "      <td>-0.33</td>\n",
       "      <td>-0.34</td>\n",
       "      <td>-0.35</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.36</td>\n",
       "      <td>-0.37</td>\n",
       "      <td>-0.38</td>\n",
       "      <td>-0.39</td>\n",
       "      <td>-0.40</td>\n",
       "      <td>-0.41</td>\n",
       "      <td>-0.42</td>\n",
       "      <td>-0.43</td>\n",
       "      <td>-0.44</td>\n",
       "      <td>-0.45</td>\n",
       "      <td>-0.46</td>\n",
       "      <td>-0.47</td>\n",
       "      <td>-0.48</td>\n",
       "      <td>-0.49</td>\n",
       "      <td>-0.50</td>\n",
       "      <td>-0.51</td>\n",
       "      <td>-0.52</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>-0.54</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.56</td>\n",
       "      <td>-0.57</td>\n",
       "      <td>-0.58</td>\n",
       "      <td>-0.59</td>\n",
       "      <td>-0.60</td>\n",
       "      <td>-0.62</td>\n",
       "      <td>-0.63</td>\n",
       "      <td>-0.64</td>\n",
       "      <td>-0.65</td>\n",
       "      <td>-0.66</td>\n",
       "      <td>-0.68</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>-0.70</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.73</td>\n",
       "      <td>-0.74</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.76</td>\n",
       "      <td>-0.78</td>\n",
       "      <td>-0.79</td>\n",
       "      <td>-0.80</td>\n",
       "      <td>-0.82</td>\n",
       "      <td>-0.83</td>\n",
       "      <td>-0.84</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>-0.87</td>\n",
       "      <td>-0.89</td>\n",
       "      <td>-0.90</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>-0.93</td>\n",
       "      <td>-0.94</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.97</td>\n",
       "      <td>-0.99</td>\n",
       "      <td>-1.00</td>\n",
       "      <td>-1.02</td>\n",
       "      <td>-1.03</td>\n",
       "      <td>-1.05</td>\n",
       "      <td>-1.06</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>-1.09</td>\n",
       "      <td>-1.11</td>\n",
       "      <td>-1.13</td>\n",
       "      <td>-1.14</td>\n",
       "      <td>-1.16</td>\n",
       "      <td>-1.17</td>\n",
       "      <td>-1.19</td>\n",
       "      <td>-1.21</td>\n",
       "      <td>-1.22</td>\n",
       "      <td>-1.24</td>\n",
       "      <td>-1.26</td>\n",
       "      <td>-1.27</td>\n",
       "      <td>-1.29</td>\n",
       "      <td>-1.30</td>\n",
       "      <td>-1.32</td>\n",
       "      <td>-1.34</td>\n",
       "      <td>-1.36</td>\n",
       "      <td>-1.37</td>\n",
       "      <td>-1.39</td>\n",
       "      <td>-1.41</td>\n",
       "      <td>-1.42</td>\n",
       "      <td>-1.44</td>\n",
       "      <td>-1.46</td>\n",
       "      <td>-1.48</td>\n",
       "      <td>-1.49</td>\n",
       "      <td>-1.51</td>\n",
       "      <td>-1.53</td>\n",
       "      <td>-1.55</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.58</td>\n",
       "      <td>-1.60</td>\n",
       "      <td>-1.62</td>\n",
       "      <td>-1.64</td>\n",
       "      <td>-1.66</td>\n",
       "      <td>-1.67</td>\n",
       "      <td>-1.69</td>\n",
       "      <td>-1.71</td>\n",
       "      <td>-1.73</td>\n",
       "      <td>-1.75</td>\n",
       "      <td>-1.77</td>\n",
       "      <td>-1.78</td>\n",
       "      <td>-1.80</td>\n",
       "      <td>-1.82</td>\n",
       "      <td>-1.84</td>\n",
       "      <td>-1.86</td>\n",
       "      <td>-1.88</td>\n",
       "      <td>-1.90</td>\n",
       "      <td>-1.92</td>\n",
       "      <td>-1.93</td>\n",
       "      <td>-1.95</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-1.99</td>\n",
       "      <td>-2.01</td>\n",
       "      <td>-2.03</td>\n",
       "      <td>-2.05</td>\n",
       "      <td>-2.07</td>\n",
       "      <td>-2.09</td>\n",
       "      <td>-2.11</td>\n",
       "      <td>-2.13</td>\n",
       "      <td>-2.14</td>\n",
       "      <td>-2.16</td>\n",
       "      <td>-2.18</td>\n",
       "      <td>-2.20</td>\n",
       "      <td>-2.22</td>\n",
       "      <td>-2.24</td>\n",
       "      <td>-2.26</td>\n",
       "      <td>-2.28</td>\n",
       "      <td>-2.30</td>\n",
       "      <td>-2.32</td>\n",
       "      <td>-2.34</td>\n",
       "      <td>-2.36</td>\n",
       "      <td>-2.38</td>\n",
       "      <td>-2.40</td>\n",
       "      <td>-2.42</td>\n",
       "      <td>-2.44</td>\n",
       "      <td>-2.45</td>\n",
       "      <td>-2.47</td>\n",
       "      <td>-2.49</td>\n",
       "      <td>-2.51</td>\n",
       "      <td>-2.53</td>\n",
       "      <td>-2.55</td>\n",
       "      <td>-2.57</td>\n",
       "      <td>-2.59</td>\n",
       "      <td>-2.61</td>\n",
       "      <td>-2.63</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>-2.67</td>\n",
       "      <td>-2.69</td>\n",
       "      <td>-2.71</td>\n",
       "      <td>-2.73</td>\n",
       "      <td>-2.75</td>\n",
       "      <td>-2.77</td>\n",
       "      <td>-2.79</td>\n",
       "      <td>-2.81</td>\n",
       "      <td>-2.83</td>\n",
       "      <td>-2.85</td>\n",
       "      <td>-2.86</td>\n",
       "      <td>-2.88</td>\n",
       "      <td>-2.90</td>\n",
       "      <td>-2.92</td>\n",
       "      <td>-2.94</td>\n",
       "      <td>-2.96</td>\n",
       "      <td>-2.98</td>\n",
       "      <td>-3.00</td>\n",
       "      <td>-3.02</td>\n",
       "      <td>-3.04</td>\n",
       "      <td>-3.06</td>\n",
       "      <td>-3.08</td>\n",
       "      <td>-3.10</td>\n",
       "      <td>-3.12</td>\n",
       "      <td>-3.14</td>\n",
       "      <td>-3.16</td>\n",
       "      <td>-3.17</td>\n",
       "      <td>-3.19</td>\n",
       "      <td>-3.21</td>\n",
       "      <td>-3.23</td>\n",
       "      <td>-3.25</td>\n",
       "      <td>-3.27</td>\n",
       "      <td>-3.29</td>\n",
       "      <td>-3.31</td>\n",
       "      <td>-3.33</td>\n",
       "      <td>-3.35</td>\n",
       "      <td>-3.37</td>\n",
       "      <td>-3.39</td>\n",
       "      <td>-3.40</td>\n",
       "      <td>-3.42</td>\n",
       "      <td>-3.44</td>\n",
       "      <td>-3.46</td>\n",
       "      <td>-3.48</td>\n",
       "      <td>-3.50</td>\n",
       "      <td>-3.52</td>\n",
       "      <td>-3.54</td>\n",
       "      <td>-3.56</td>\n",
       "      <td>-3.57</td>\n",
       "      <td>-3.59</td>\n",
       "      <td>-3.61</td>\n",
       "      <td>-3.63</td>\n",
       "      <td>-3.65</td>\n",
       "      <td>-3.67</td>\n",
       "      <td>-3.69</td>\n",
       "      <td>-3.71</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>-3.74</td>\n",
       "      <td>-3.76</td>\n",
       "      <td>-3.78</td>\n",
       "      <td>-3.80</td>\n",
       "      <td>-3.82</td>\n",
       "      <td>-3.84</td>\n",
       "      <td>-3.85</td>\n",
       "      <td>-3.87</td>\n",
       "      <td>-3.89</td>\n",
       "      <td>-3.91</td>\n",
       "      <td>-3.93</td>\n",
       "      <td>-3.95</td>\n",
       "      <td>-3.96</td>\n",
       "      <td>-3.98</td>\n",
       "      <td>-4.00</td>\n",
       "      <td>-4.02</td>\n",
       "      <td>-4.04</td>\n",
       "      <td>-4.06</td>\n",
       "      <td>-4.07</td>\n",
       "      <td>-4.09</td>\n",
       "      <td>-4.11</td>\n",
       "      <td>-4.13</td>\n",
       "      <td>-4.15</td>\n",
       "      <td>-4.16</td>\n",
       "      <td>-4.18</td>\n",
       "      <td>-4.20</td>\n",
       "      <td>-4.22</td>\n",
       "      <td>-4.24</td>\n",
       "      <td>-4.25</td>\n",
       "      <td>-4.27</td>\n",
       "      <td>-4.29</td>\n",
       "      <td>-4.31</td>\n",
       "      <td>-4.32</td>\n",
       "      <td>-4.34</td>\n",
       "      <td>-4.36</td>\n",
       "      <td>-4.38</td>\n",
       "      <td>-4.40</td>\n",
       "      <td>-4.41</td>\n",
       "      <td>-4.43</td>\n",
       "      <td>-4.45</td>\n",
       "      <td>-4.47</td>\n",
       "      <td>-4.48</td>\n",
       "      <td>-4.50</td>\n",
       "      <td>-4.52</td>\n",
       "      <td>-4.54</td>\n",
       "      <td>-4.55</td>\n",
       "      <td>-4.57</td>\n",
       "      <td>-4.59</td>\n",
       "      <td>-4.61</td>\n",
       "      <td>-4.62</td>\n",
       "      <td>-4.64</td>\n",
       "      <td>-4.66</td>\n",
       "      <td>-4.68</td>\n",
       "      <td>-4.69</td>\n",
       "      <td>-4.71</td>\n",
       "      <td>-4.73</td>\n",
       "      <td>-4.74</td>\n",
       "      <td>-4.76</td>\n",
       "      <td>-4.78</td>\n",
       "      <td>-4.80</td>\n",
       "      <td>-4.81</td>\n",
       "      <td>-4.83</td>\n",
       "      <td>-4.85</td>\n",
       "      <td>-4.86</td>\n",
       "      <td>-4.88</td>\n",
       "      <td>-4.90</td>\n",
       "      <td>-4.92</td>\n",
       "      <td>-4.93</td>\n",
       "      <td>-4.95</td>\n",
       "      <td>-4.97</td>\n",
       "      <td>-4.98</td>\n",
       "      <td>-5.00</td>\n",
       "      <td>-5.02</td>\n",
       "      <td>-5.03</td>\n",
       "      <td>-5.05</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         0     1     2     3     4     5     6     7     8    \\\n",
       "Price_Point             0.50  0.51  0.52  0.53  0.54  0.55  0.56  0.57  0.58   \n",
       "Mean_PE                -0.10 -0.10 -0.10 -0.11 -0.11 -0.12 -0.12 -0.13 -0.13   \n",
       "PE_Segment_0_FO        -0.03 -0.03 -0.04 -0.04 -0.04 -0.04 -0.04 -0.05 -0.05   \n",
       "PE_Segment_1_Cf        -0.12 -0.12 -0.13 -0.13 -0.14 -0.14 -0.15 -0.15 -0.15   \n",
       "PE_Segment_2_Strd      -0.21 -0.22 -0.22 -0.23 -0.24 -0.25 -0.25 -0.26 -0.27   \n",
       "PE_Segment_3_WO        -0.17 -0.17 -0.18 -0.18 -0.19 -0.19 -0.20 -0.20 -0.21   \n",
       "Elasticity_Promotion_1 -0.13 -0.13 -0.13 -0.14 -0.14 -0.15 -0.15 -0.16 -0.16   \n",
       "Elasticity_Promotion_0 -0.20 -0.20 -0.21 -0.21 -0.22 -0.23 -0.23 -0.24 -0.25   \n",
       "\n",
       "                         9     10    11    12    13    14    15    16    17   \\\n",
       "Price_Point             0.59  0.60  0.61  0.62  0.63  0.64  0.65  0.66  0.67   \n",
       "Mean_PE                -0.14 -0.14 -0.15 -0.15 -0.16 -0.17 -0.17 -0.18 -0.19   \n",
       "PE_Segment_0_FO        -0.05 -0.06 -0.06 -0.06 -0.06 -0.07 -0.07 -0.07 -0.08   \n",
       "PE_Segment_1_Cf        -0.16 -0.16 -0.17 -0.18 -0.18 -0.19 -0.19 -0.20 -0.20   \n",
       "PE_Segment_2_Strd      -0.27 -0.28 -0.29 -0.30 -0.31 -0.31 -0.32 -0.33 -0.34   \n",
       "PE_Segment_3_WO        -0.21 -0.22 -0.22 -0.23 -0.24 -0.24 -0.25 -0.25 -0.26   \n",
       "Elasticity_Promotion_1 -0.17 -0.17 -0.18 -0.18 -0.19 -0.19 -0.20 -0.20 -0.21   \n",
       "Elasticity_Promotion_0 -0.25 -0.26 -0.27 -0.28 -0.28 -0.29 -0.30 -0.31 -0.31   \n",
       "\n",
       "                         18    19    20    21    22    23    24    25    26   \\\n",
       "Price_Point             0.68  0.69  0.70  0.71  0.72  0.73  0.74  0.75  0.76   \n",
       "Mean_PE                -0.19 -0.20 -0.21 -0.21 -0.22 -0.23 -0.24 -0.24 -0.25   \n",
       "PE_Segment_0_FO        -0.08 -0.09 -0.09 -0.10 -0.10 -0.11 -0.11 -0.12 -0.12   \n",
       "PE_Segment_1_Cf        -0.21 -0.22 -0.22 -0.23 -0.23 -0.24 -0.25 -0.25 -0.26   \n",
       "PE_Segment_2_Strd      -0.35 -0.36 -0.36 -0.37 -0.38 -0.39 -0.40 -0.41 -0.42   \n",
       "PE_Segment_3_WO        -0.27 -0.27 -0.28 -0.28 -0.29 -0.30 -0.30 -0.31 -0.32   \n",
       "Elasticity_Promotion_1 -0.21 -0.22 -0.22 -0.23 -0.24 -0.24 -0.25 -0.25 -0.26   \n",
       "Elasticity_Promotion_0 -0.32 -0.33 -0.34 -0.35 -0.36 -0.36 -0.37 -0.38 -0.39   \n",
       "\n",
       "                         27    28    29    30    31    32    33    34    35   \\\n",
       "Price_Point             0.77  0.78  0.79  0.80  0.81  0.82  0.83  0.84  0.85   \n",
       "Mean_PE                -0.26 -0.27 -0.28 -0.29 -0.30 -0.31 -0.32 -0.33 -0.34   \n",
       "PE_Segment_0_FO        -0.13 -0.13 -0.14 -0.15 -0.15 -0.16 -0.17 -0.18 -0.19   \n",
       "PE_Segment_1_Cf        -0.27 -0.28 -0.28 -0.29 -0.30 -0.31 -0.31 -0.32 -0.33   \n",
       "PE_Segment_2_Strd      -0.43 -0.44 -0.45 -0.46 -0.47 -0.48 -0.49 -0.50 -0.51   \n",
       "PE_Segment_3_WO        -0.33 -0.33 -0.34 -0.35 -0.35 -0.36 -0.37 -0.38 -0.38   \n",
       "Elasticity_Promotion_1 -0.27 -0.27 -0.28 -0.29 -0.29 -0.30 -0.31 -0.32 -0.32   \n",
       "Elasticity_Promotion_0 -0.40 -0.41 -0.42 -0.43 -0.44 -0.45 -0.46 -0.47 -0.48   \n",
       "\n",
       "                         36    37    38    39    40    41    42    43    44   \\\n",
       "Price_Point             0.86  0.87  0.88  0.89  0.90  0.91  0.92  0.93  0.94   \n",
       "Mean_PE                -0.35 -0.36 -0.37 -0.38 -0.39 -0.41 -0.42 -0.43 -0.44   \n",
       "PE_Segment_0_FO        -0.19 -0.20 -0.21 -0.22 -0.23 -0.24 -0.25 -0.27 -0.28   \n",
       "PE_Segment_1_Cf        -0.34 -0.35 -0.36 -0.37 -0.37 -0.38 -0.39 -0.40 -0.41   \n",
       "PE_Segment_2_Strd      -0.52 -0.53 -0.54 -0.55 -0.56 -0.58 -0.59 -0.60 -0.61   \n",
       "PE_Segment_3_WO        -0.39 -0.40 -0.41 -0.42 -0.42 -0.43 -0.44 -0.45 -0.46   \n",
       "Elasticity_Promotion_1 -0.33 -0.34 -0.35 -0.35 -0.36 -0.37 -0.38 -0.39 -0.39   \n",
       "Elasticity_Promotion_0 -0.49 -0.50 -0.51 -0.52 -0.53 -0.54 -0.55 -0.56 -0.57   \n",
       "\n",
       "                         45    46    47    48    49    50    51    52    53   \\\n",
       "Price_Point             0.95  0.96  0.97  0.98  0.99  1.00  1.01  1.02  1.03   \n",
       "Mean_PE                -0.46 -0.47 -0.48 -0.50 -0.51 -0.53 -0.54 -0.56 -0.57   \n",
       "PE_Segment_0_FO        -0.29 -0.30 -0.32 -0.33 -0.34 -0.36 -0.37 -0.39 -0.41   \n",
       "PE_Segment_1_Cf        -0.42 -0.43 -0.44 -0.45 -0.46 -0.47 -0.48 -0.49 -0.51   \n",
       "PE_Segment_2_Strd      -0.62 -0.63 -0.65 -0.66 -0.67 -0.68 -0.70 -0.71 -0.72   \n",
       "PE_Segment_3_WO        -0.47 -0.47 -0.48 -0.49 -0.50 -0.51 -0.52 -0.53 -0.54   \n",
       "Elasticity_Promotion_1 -0.40 -0.41 -0.42 -0.43 -0.44 -0.45 -0.46 -0.47 -0.48   \n",
       "Elasticity_Promotion_0 -0.58 -0.59 -0.60 -0.62 -0.63 -0.64 -0.65 -0.66 -0.68   \n",
       "\n",
       "                         54    55    56    57    58    59    60    61    62   \\\n",
       "Price_Point             1.04  1.05  1.06  1.07  1.08  1.09  1.10  1.11  1.12   \n",
       "Mean_PE                -0.59 -0.61 -0.62 -0.64 -0.66 -0.67 -0.69 -0.71 -0.73   \n",
       "PE_Segment_0_FO        -0.42 -0.44 -0.46 -0.48 -0.50 -0.52 -0.54 -0.56 -0.59   \n",
       "PE_Segment_1_Cf        -0.52 -0.53 -0.54 -0.55 -0.56 -0.58 -0.59 -0.60 -0.61   \n",
       "PE_Segment_2_Strd      -0.73 -0.75 -0.76 -0.77 -0.79 -0.80 -0.81 -0.83 -0.84   \n",
       "PE_Segment_3_WO        -0.55 -0.56 -0.57 -0.58 -0.59 -0.60 -0.60 -0.61 -0.63   \n",
       "Elasticity_Promotion_1 -0.48 -0.49 -0.50 -0.51 -0.52 -0.53 -0.54 -0.56 -0.57   \n",
       "Elasticity_Promotion_0 -0.69 -0.70 -0.71 -0.73 -0.74 -0.75 -0.76 -0.78 -0.79   \n",
       "\n",
       "                         63    64    65    66    67    68    69    70    71   \\\n",
       "Price_Point             1.13  1.14  1.15  1.16  1.17  1.18  1.19  1.20  1.21   \n",
       "Mean_PE                -0.75 -0.77 -0.79 -0.81 -0.83 -0.85 -0.87 -0.89 -0.91   \n",
       "PE_Segment_0_FO        -0.61 -0.64 -0.66 -0.69 -0.71 -0.74 -0.77 -0.80 -0.83   \n",
       "PE_Segment_1_Cf        -0.63 -0.64 -0.65 -0.66 -0.68 -0.69 -0.71 -0.72 -0.73   \n",
       "PE_Segment_2_Strd      -0.85 -0.87 -0.88 -0.90 -0.91 -0.93 -0.94 -0.96 -0.97   \n",
       "PE_Segment_3_WO        -0.64 -0.65 -0.66 -0.67 -0.68 -0.69 -0.70 -0.71 -0.72   \n",
       "Elasticity_Promotion_1 -0.58 -0.59 -0.60 -0.61 -0.62 -0.63 -0.64 -0.66 -0.67   \n",
       "Elasticity_Promotion_0 -0.80 -0.82 -0.83 -0.84 -0.86 -0.87 -0.89 -0.90 -0.92   \n",
       "\n",
       "                         72    73    74    75    76    77    78    79    80   \\\n",
       "Price_Point             1.22  1.23  1.24  1.25  1.26  1.27  1.28  1.29  1.30   \n",
       "Mean_PE                -0.94 -0.96 -0.98 -1.00 -1.03 -1.05 -1.08 -1.10 -1.13   \n",
       "PE_Segment_0_FO        -0.86 -0.90 -0.93 -0.96 -1.00 -1.04 -1.07 -1.11 -1.15   \n",
       "PE_Segment_1_Cf        -0.75 -0.76 -0.78 -0.79 -0.81 -0.82 -0.84 -0.85 -0.87   \n",
       "PE_Segment_2_Strd      -0.98 -1.00 -1.02 -1.03 -1.05 -1.06 -1.08 -1.09 -1.11   \n",
       "PE_Segment_3_WO        -0.73 -0.74 -0.75 -0.76 -0.78 -0.79 -0.80 -0.81 -0.82   \n",
       "Elasticity_Promotion_1 -0.68 -0.69 -0.70 -0.72 -0.73 -0.74 -0.75 -0.77 -0.78   \n",
       "Elasticity_Promotion_0 -0.93 -0.94 -0.96 -0.97 -0.99 -1.00 -1.02 -1.03 -1.05   \n",
       "\n",
       "                         81    82    83    84    85    86    87    88    89   \\\n",
       "Price_Point             1.31  1.32  1.33  1.34  1.35  1.36  1.37  1.38  1.39   \n",
       "Mean_PE                -1.15 -1.18 -1.20 -1.23 -1.26 -1.29 -1.31 -1.34 -1.37   \n",
       "PE_Segment_0_FO        -1.19 -1.23 -1.28 -1.32 -1.37 -1.41 -1.46 -1.51 -1.56   \n",
       "PE_Segment_1_Cf        -0.89 -0.90 -0.92 -0.93 -0.95 -0.97 -0.98 -1.00 -1.02   \n",
       "PE_Segment_2_Strd      -1.12 -1.14 -1.16 -1.17 -1.19 -1.20 -1.22 -1.24 -1.25   \n",
       "PE_Segment_3_WO        -0.83 -0.84 -0.86 -0.87 -0.88 -0.89 -0.91 -0.92 -0.93   \n",
       "Elasticity_Promotion_1 -0.79 -0.80 -0.82 -0.83 -0.84 -0.86 -0.87 -0.89 -0.90   \n",
       "Elasticity_Promotion_0 -1.06 -1.08 -1.09 -1.11 -1.13 -1.14 -1.16 -1.17 -1.19   \n",
       "\n",
       "                         90    91    92    93    94    95    96    97    98   \\\n",
       "Price_Point             1.40  1.41  1.42  1.43  1.44  1.45  1.46  1.47  1.48   \n",
       "Mean_PE                -1.40 -1.43 -1.46 -1.49 -1.52 -1.55 -1.58 -1.61 -1.64   \n",
       "PE_Segment_0_FO        -1.61 -1.66 -1.71 -1.76 -1.82 -1.88 -1.93 -1.99 -2.05   \n",
       "PE_Segment_1_Cf        -1.04 -1.05 -1.07 -1.09 -1.11 -1.13 -1.15 -1.16 -1.18   \n",
       "PE_Segment_2_Strd      -1.27 -1.29 -1.30 -1.32 -1.34 -1.36 -1.37 -1.39 -1.41   \n",
       "PE_Segment_3_WO        -0.94 -0.95 -0.97 -0.98 -0.99 -1.01 -1.02 -1.03 -1.04   \n",
       "Elasticity_Promotion_1 -0.91 -0.93 -0.94 -0.96 -0.97 -0.99 -1.00 -1.02 -1.03   \n",
       "Elasticity_Promotion_0 -1.21 -1.22 -1.24 -1.26 -1.27 -1.29 -1.30 -1.32 -1.34   \n",
       "\n",
       "                         99    100   101   102   103   104   105   106   107  \\\n",
       "Price_Point             1.49  1.50  1.51  1.52  1.53  1.54  1.55  1.56  1.57   \n",
       "Mean_PE                -1.67 -1.70 -1.73 -1.77 -1.80 -1.83 -1.87 -1.90 -1.93   \n",
       "PE_Segment_0_FO        -2.11 -2.17 -2.23 -2.29 -2.36 -2.42 -2.49 -2.55 -2.62   \n",
       "PE_Segment_1_Cf        -1.20 -1.22 -1.24 -1.26 -1.28 -1.30 -1.32 -1.34 -1.36   \n",
       "PE_Segment_2_Strd      -1.42 -1.44 -1.46 -1.48 -1.49 -1.51 -1.53 -1.55 -1.57   \n",
       "PE_Segment_3_WO        -1.06 -1.07 -1.08 -1.10 -1.11 -1.12 -1.14 -1.15 -1.17   \n",
       "Elasticity_Promotion_1 -1.05 -1.06 -1.08 -1.09 -1.11 -1.13 -1.14 -1.16 -1.17   \n",
       "Elasticity_Promotion_0 -1.36 -1.37 -1.39 -1.41 -1.42 -1.44 -1.46 -1.48 -1.49   \n",
       "\n",
       "                         108   109   110   111   112   113   114   115   116  \\\n",
       "Price_Point             1.58  1.59  1.60  1.61  1.62  1.63  1.64  1.65  1.66   \n",
       "Mean_PE                -1.97 -2.00 -2.04 -2.07 -2.11 -2.14 -2.18 -2.21 -2.25   \n",
       "PE_Segment_0_FO        -2.69 -2.76 -2.83 -2.90 -2.97 -3.04 -3.11 -3.18 -3.25   \n",
       "PE_Segment_1_Cf        -1.38 -1.40 -1.42 -1.44 -1.46 -1.48 -1.50 -1.53 -1.55   \n",
       "PE_Segment_2_Strd      -1.58 -1.60 -1.62 -1.64 -1.66 -1.67 -1.69 -1.71 -1.73   \n",
       "PE_Segment_3_WO        -1.18 -1.19 -1.21 -1.22 -1.24 -1.25 -1.26 -1.28 -1.29   \n",
       "Elasticity_Promotion_1 -1.19 -1.21 -1.22 -1.24 -1.26 -1.27 -1.29 -1.31 -1.32   \n",
       "Elasticity_Promotion_0 -1.51 -1.53 -1.55 -1.57 -1.58 -1.60 -1.62 -1.64 -1.66   \n",
       "\n",
       "                         117   118   119   120   121   122   123   124   125  \\\n",
       "Price_Point             1.67  1.68  1.69  1.70  1.71  1.72  1.73  1.74  1.75   \n",
       "Mean_PE                -2.28 -2.32 -2.36 -2.39 -2.43 -2.47 -2.50 -2.54 -2.58   \n",
       "PE_Segment_0_FO        -3.33 -3.40 -3.48 -3.55 -3.62 -3.70 -3.78 -3.85 -3.93   \n",
       "PE_Segment_1_Cf        -1.57 -1.59 -1.61 -1.64 -1.66 -1.68 -1.70 -1.72 -1.75   \n",
       "PE_Segment_2_Strd      -1.75 -1.77 -1.79 -1.80 -1.82 -1.84 -1.86 -1.88 -1.90   \n",
       "PE_Segment_3_WO        -1.31 -1.32 -1.34 -1.35 -1.36 -1.38 -1.39 -1.41 -1.42   \n",
       "Elasticity_Promotion_1 -1.34 -1.36 -1.38 -1.39 -1.41 -1.43 -1.45 -1.46 -1.48   \n",
       "Elasticity_Promotion_0 -1.67 -1.69 -1.71 -1.73 -1.75 -1.77 -1.78 -1.80 -1.82   \n",
       "\n",
       "                         126   127   128   129   130   131   132   133   134  \\\n",
       "Price_Point             1.76  1.77  1.78  1.79  1.80  1.81  1.82  1.83  1.84   \n",
       "Mean_PE                -2.61 -2.65 -2.69 -2.73 -2.77 -2.80 -2.84 -2.88 -2.92   \n",
       "PE_Segment_0_FO        -4.00 -4.08 -4.15 -4.23 -4.31 -4.38 -4.46 -4.53 -4.61   \n",
       "PE_Segment_1_Cf        -1.77 -1.79 -1.82 -1.84 -1.86 -1.88 -1.91 -1.93 -1.95   \n",
       "PE_Segment_2_Strd      -1.92 -1.94 -1.96 -1.97 -1.99 -2.01 -2.03 -2.05 -2.07   \n",
       "PE_Segment_3_WO        -1.44 -1.45 -1.47 -1.48 -1.50 -1.51 -1.53 -1.54 -1.56   \n",
       "Elasticity_Promotion_1 -1.50 -1.52 -1.54 -1.56 -1.57 -1.59 -1.61 -1.63 -1.65   \n",
       "Elasticity_Promotion_0 -1.84 -1.86 -1.88 -1.90 -1.92 -1.93 -1.95 -1.97 -1.99   \n",
       "\n",
       "                         135   136   137   138   139   140   141   142   143  \\\n",
       "Price_Point             1.85  1.86  1.87  1.88  1.89  1.90  1.91  1.92  1.93   \n",
       "Mean_PE                -2.96 -2.99 -3.03 -3.07 -3.11 -3.15 -3.18 -3.22 -3.26   \n",
       "PE_Segment_0_FO        -4.69 -4.76 -4.84 -4.91 -4.99 -5.06 -5.13 -5.21 -5.28   \n",
       "PE_Segment_1_Cf        -1.98 -2.00 -2.03 -2.05 -2.07 -2.10 -2.12 -2.15 -2.17   \n",
       "PE_Segment_2_Strd      -2.09 -2.11 -2.13 -2.15 -2.17 -2.19 -2.20 -2.22 -2.24   \n",
       "PE_Segment_3_WO        -1.57 -1.59 -1.61 -1.62 -1.64 -1.65 -1.67 -1.68 -1.70   \n",
       "Elasticity_Promotion_1 -1.67 -1.69 -1.71 -1.72 -1.74 -1.76 -1.78 -1.80 -1.82   \n",
       "Elasticity_Promotion_0 -2.01 -2.03 -2.05 -2.07 -2.09 -2.11 -2.13 -2.14 -2.16   \n",
       "\n",
       "                         144   145   146   147   148   149   150   151   152  \\\n",
       "Price_Point             1.94  1.95  1.96  1.97  1.98  1.99  2.00  2.01  2.02   \n",
       "Mean_PE                -3.30 -3.34 -3.38 -3.42 -3.45 -3.49 -3.53 -3.57 -3.61   \n",
       "PE_Segment_0_FO        -5.35 -5.43 -5.50 -5.57 -5.64 -5.71 -5.78 -5.85 -5.92   \n",
       "PE_Segment_1_Cf        -2.19 -2.22 -2.24 -2.27 -2.29 -2.32 -2.34 -2.37 -2.39   \n",
       "PE_Segment_2_Strd      -2.26 -2.28 -2.30 -2.32 -2.34 -2.36 -2.38 -2.40 -2.42   \n",
       "PE_Segment_3_WO        -1.71 -1.73 -1.75 -1.76 -1.78 -1.79 -1.81 -1.83 -1.84   \n",
       "Elasticity_Promotion_1 -1.84 -1.86 -1.88 -1.90 -1.92 -1.94 -1.96 -1.98 -2.00   \n",
       "Elasticity_Promotion_0 -2.18 -2.20 -2.22 -2.24 -2.26 -2.28 -2.30 -2.32 -2.34   \n",
       "\n",
       "                         153   154   155   156   157   158   159   160   161  \\\n",
       "Price_Point             2.03  2.04  2.05  2.06  2.07  2.08  2.09  2.10  2.11   \n",
       "Mean_PE                -3.64 -3.68 -3.72 -3.76 -3.80 -3.83 -3.87 -3.91 -3.95   \n",
       "PE_Segment_0_FO        -5.99 -6.06 -6.13 -6.19 -6.26 -6.33 -6.39 -6.46 -6.52   \n",
       "PE_Segment_1_Cf        -2.42 -2.44 -2.47 -2.49 -2.51 -2.54 -2.56 -2.59 -2.61   \n",
       "PE_Segment_2_Strd      -2.44 -2.46 -2.48 -2.50 -2.52 -2.54 -2.55 -2.57 -2.59   \n",
       "PE_Segment_3_WO        -1.86 -1.87 -1.89 -1.91 -1.92 -1.94 -1.95 -1.97 -1.99   \n",
       "Elasticity_Promotion_1 -2.02 -2.04 -2.06 -2.08 -2.10 -2.12 -2.14 -2.16 -2.18   \n",
       "Elasticity_Promotion_0 -2.36 -2.38 -2.40 -2.42 -2.44 -2.45 -2.47 -2.49 -2.51   \n",
       "\n",
       "                         162   163   164   165   166   167   168   169   170  \\\n",
       "Price_Point             2.12  2.13  2.14  2.15  2.16  2.17  2.18  2.19  2.20   \n",
       "Mean_PE                -3.98 -4.02 -4.06 -4.10 -4.13 -4.17 -4.21 -4.24 -4.28   \n",
       "PE_Segment_0_FO        -6.59 -6.65 -6.71 -6.78 -6.84 -6.90 -6.96 -7.02 -7.08   \n",
       "PE_Segment_1_Cf        -2.64 -2.66 -2.69 -2.72 -2.74 -2.77 -2.79 -2.82 -2.84   \n",
       "PE_Segment_2_Strd      -2.61 -2.63 -2.65 -2.67 -2.69 -2.71 -2.73 -2.75 -2.77   \n",
       "PE_Segment_3_WO        -2.00 -2.02 -2.03 -2.05 -2.07 -2.08 -2.10 -2.12 -2.13   \n",
       "Elasticity_Promotion_1 -2.20 -2.22 -2.24 -2.26 -2.28 -2.30 -2.32 -2.34 -2.37   \n",
       "Elasticity_Promotion_0 -2.53 -2.55 -2.57 -2.59 -2.61 -2.63 -2.65 -2.67 -2.69   \n",
       "\n",
       "                         171   172   173   174   175   176   177   178   179  \\\n",
       "Price_Point             2.21  2.22  2.23  2.24  2.25  2.26  2.27  2.28  2.29   \n",
       "Mean_PE                -4.32 -4.35 -4.39 -4.43 -4.46 -4.50 -4.54 -4.57 -4.61   \n",
       "PE_Segment_0_FO        -7.14 -7.20 -7.26 -7.31 -7.37 -7.43 -7.48 -7.54 -7.59   \n",
       "PE_Segment_1_Cf        -2.87 -2.89 -2.92 -2.94 -2.97 -2.99 -3.02 -3.04 -3.07   \n",
       "PE_Segment_2_Strd      -2.79 -2.81 -2.83 -2.85 -2.87 -2.89 -2.91 -2.93 -2.94   \n",
       "PE_Segment_3_WO        -2.15 -2.17 -2.18 -2.20 -2.22 -2.23 -2.25 -2.26 -2.28   \n",
       "Elasticity_Promotion_1 -2.39 -2.41 -2.43 -2.45 -2.47 -2.49 -2.51 -2.53 -2.55   \n",
       "Elasticity_Promotion_0 -2.71 -2.73 -2.75 -2.77 -2.79 -2.81 -2.83 -2.85 -2.86   \n",
       "\n",
       "                         180   181   182   183   184   185   186   187   188  \\\n",
       "Price_Point             2.30  2.31  2.32  2.33  2.34  2.35  2.36  2.37  2.38   \n",
       "Mean_PE                -4.64 -4.68 -4.71 -4.75 -4.78 -4.82 -4.85 -4.89 -4.92   \n",
       "PE_Segment_0_FO        -7.65 -7.70 -7.76 -7.81 -7.86 -7.92 -7.97 -8.02 -8.07   \n",
       "PE_Segment_1_Cf        -3.09 -3.12 -3.14 -3.17 -3.19 -3.22 -3.24 -3.27 -3.29   \n",
       "PE_Segment_2_Strd      -2.96 -2.98 -3.00 -3.02 -3.04 -3.06 -3.08 -3.10 -3.12   \n",
       "PE_Segment_3_WO        -2.30 -2.31 -2.33 -2.35 -2.36 -2.38 -2.40 -2.41 -2.43   \n",
       "Elasticity_Promotion_1 -2.57 -2.59 -2.61 -2.64 -2.66 -2.68 -2.70 -2.72 -2.74   \n",
       "Elasticity_Promotion_0 -2.88 -2.90 -2.92 -2.94 -2.96 -2.98 -3.00 -3.02 -3.04   \n",
       "\n",
       "                         189   190   191   192   193   194   195   196   197  \\\n",
       "Price_Point             2.39  2.40  2.41  2.42  2.43  2.44  2.45  2.46  2.47   \n",
       "Mean_PE                -4.96 -4.99 -5.02 -5.06 -5.09 -5.13 -5.16 -5.19 -5.23   \n",
       "PE_Segment_0_FO        -8.12 -8.17 -8.22 -8.27 -8.32 -8.37 -8.42 -8.47 -8.52   \n",
       "PE_Segment_1_Cf        -3.32 -3.34 -3.37 -3.39 -3.42 -3.44 -3.47 -3.49 -3.52   \n",
       "PE_Segment_2_Strd      -3.14 -3.16 -3.18 -3.20 -3.21 -3.23 -3.25 -3.27 -3.29   \n",
       "PE_Segment_3_WO        -2.45 -2.46 -2.48 -2.50 -2.51 -2.53 -2.55 -2.56 -2.58   \n",
       "Elasticity_Promotion_1 -2.76 -2.78 -2.80 -2.82 -2.84 -2.87 -2.89 -2.91 -2.93   \n",
       "Elasticity_Promotion_0 -3.06 -3.08 -3.10 -3.12 -3.14 -3.16 -3.17 -3.19 -3.21   \n",
       "\n",
       "                         198   199   200   201   202   203   204   205   206  \\\n",
       "Price_Point             2.48  2.49  2.50  2.51  2.52  2.53  2.54  2.55  2.56   \n",
       "Mean_PE                -5.26 -5.29 -5.33 -5.36 -5.39 -5.42 -5.46 -5.49 -5.52   \n",
       "PE_Segment_0_FO        -8.56 -8.61 -8.66 -8.70 -8.75 -8.80 -8.84 -8.89 -8.93   \n",
       "PE_Segment_1_Cf        -3.54 -3.57 -3.59 -3.62 -3.64 -3.67 -3.69 -3.71 -3.74   \n",
       "PE_Segment_2_Strd      -3.31 -3.33 -3.35 -3.37 -3.39 -3.41 -3.42 -3.44 -3.46   \n",
       "PE_Segment_3_WO        -2.60 -2.61 -2.63 -2.65 -2.66 -2.68 -2.70 -2.71 -2.73   \n",
       "Elasticity_Promotion_1 -2.95 -2.97 -2.99 -3.01 -3.03 -3.05 -3.07 -3.10 -3.12   \n",
       "Elasticity_Promotion_0 -3.23 -3.25 -3.27 -3.29 -3.31 -3.33 -3.35 -3.37 -3.39   \n",
       "\n",
       "                         207   208   209   210   211   212   213   214   215  \\\n",
       "Price_Point             2.57  2.58  2.59  2.60  2.61  2.62  2.63  2.64  2.65   \n",
       "Mean_PE                -5.55 -5.59 -5.62 -5.65 -5.68 -5.71 -5.74 -5.77 -5.81   \n",
       "PE_Segment_0_FO        -8.98 -9.02 -9.07 -9.11 -9.16 -9.20 -9.24 -9.29 -9.33   \n",
       "PE_Segment_1_Cf        -3.76 -3.79 -3.81 -3.84 -3.86 -3.88 -3.91 -3.93 -3.96   \n",
       "PE_Segment_2_Strd      -3.48 -3.50 -3.52 -3.54 -3.56 -3.58 -3.59 -3.61 -3.63   \n",
       "PE_Segment_3_WO        -2.75 -2.76 -2.78 -2.80 -2.81 -2.83 -2.85 -2.86 -2.88   \n",
       "Elasticity_Promotion_1 -3.14 -3.16 -3.18 -3.20 -3.22 -3.24 -3.26 -3.28 -3.30   \n",
       "Elasticity_Promotion_0 -3.40 -3.42 -3.44 -3.46 -3.48 -3.50 -3.52 -3.54 -3.56   \n",
       "\n",
       "                         216   217   218   219   220   221   222   223   224  \\\n",
       "Price_Point             2.66  2.67  2.68  2.69  2.70  2.71  2.72  2.73  2.74   \n",
       "Mean_PE                -5.84 -5.87 -5.90 -5.93 -5.96 -5.99 -6.02 -6.05 -6.08   \n",
       "PE_Segment_0_FO        -9.37 -9.41 -9.46 -9.50 -9.54 -9.58 -9.62 -9.67 -9.71   \n",
       "PE_Segment_1_Cf        -3.98 -4.01 -4.03 -4.05 -4.08 -4.10 -4.12 -4.15 -4.17   \n",
       "PE_Segment_2_Strd      -3.65 -3.67 -3.69 -3.71 -3.73 -3.74 -3.76 -3.78 -3.80   \n",
       "PE_Segment_3_WO        -2.90 -2.91 -2.93 -2.95 -2.96 -2.98 -3.00 -3.01 -3.03   \n",
       "Elasticity_Promotion_1 -3.32 -3.34 -3.36 -3.38 -3.41 -3.43 -3.45 -3.47 -3.49   \n",
       "Elasticity_Promotion_0 -3.57 -3.59 -3.61 -3.63 -3.65 -3.67 -3.69 -3.71 -3.72   \n",
       "\n",
       "                         225   226   227   228   229   230   231    232  \\\n",
       "Price_Point             2.75  2.76  2.77  2.78  2.79  2.80  2.81   2.82   \n",
       "Mean_PE                -6.11 -6.14 -6.17 -6.20 -6.23 -6.26 -6.29  -6.32   \n",
       "PE_Segment_0_FO        -9.75 -9.79 -9.83 -9.87 -9.91 -9.95 -9.99 -10.03   \n",
       "PE_Segment_1_Cf        -4.20 -4.22 -4.24 -4.27 -4.29 -4.31 -4.34  -4.36   \n",
       "PE_Segment_2_Strd      -3.82 -3.84 -3.85 -3.87 -3.89 -3.91 -3.93  -3.95   \n",
       "PE_Segment_3_WO        -3.05 -3.06 -3.08 -3.09 -3.11 -3.13 -3.14  -3.16   \n",
       "Elasticity_Promotion_1 -3.51 -3.53 -3.55 -3.57 -3.59 -3.61 -3.63  -3.65   \n",
       "Elasticity_Promotion_0 -3.74 -3.76 -3.78 -3.80 -3.82 -3.84 -3.85  -3.87   \n",
       "\n",
       "                          233    234    235    236    237    238    239  \\\n",
       "Price_Point              2.83   2.84   2.85   2.86   2.87   2.88   2.89   \n",
       "Mean_PE                 -6.35  -6.38  -6.40  -6.43  -6.46  -6.49  -6.52   \n",
       "PE_Segment_0_FO        -10.07 -10.11 -10.15 -10.19 -10.23 -10.27 -10.31   \n",
       "PE_Segment_1_Cf         -4.38  -4.40  -4.43  -4.45  -4.47  -4.50  -4.52   \n",
       "PE_Segment_2_Strd       -3.96  -3.98  -4.00  -4.02  -4.04  -4.06  -4.07   \n",
       "PE_Segment_3_WO         -3.18  -3.19  -3.21  -3.23  -3.24  -3.26  -3.27   \n",
       "Elasticity_Promotion_1  -3.67  -3.69  -3.71  -3.73  -3.75  -3.77  -3.79   \n",
       "Elasticity_Promotion_0  -3.89  -3.91  -3.93  -3.95  -3.96  -3.98  -4.00   \n",
       "\n",
       "                          240    241    242    243    244    245    246  \\\n",
       "Price_Point              2.90   2.91   2.92   2.93   2.94   2.95   2.96   \n",
       "Mean_PE                 -6.55  -6.58  -6.60  -6.63  -6.66  -6.69  -6.72   \n",
       "PE_Segment_0_FO        -10.35 -10.39 -10.43 -10.47 -10.51 -10.55 -10.58   \n",
       "PE_Segment_1_Cf         -4.54  -4.57  -4.59  -4.61  -4.63  -4.66  -4.68   \n",
       "PE_Segment_2_Strd       -4.09  -4.11  -4.13  -4.15  -4.16  -4.18  -4.20   \n",
       "PE_Segment_3_WO         -3.29  -3.31  -3.32  -3.34  -3.36  -3.37  -3.39   \n",
       "Elasticity_Promotion_1  -3.81  -3.83  -3.85  -3.87  -3.89  -3.91  -3.93   \n",
       "Elasticity_Promotion_0  -4.02  -4.04  -4.06  -4.07  -4.09  -4.11  -4.13   \n",
       "\n",
       "                          247    248    249    250    251    252    253  \\\n",
       "Price_Point              2.97   2.98   2.99   3.00   3.01   3.02   3.03   \n",
       "Mean_PE                 -6.75  -6.77  -6.80  -6.83  -6.86  -6.88  -6.91   \n",
       "PE_Segment_0_FO        -10.62 -10.66 -10.70 -10.74 -10.78 -10.82 -10.85   \n",
       "PE_Segment_1_Cf         -4.70  -4.72  -4.75  -4.77  -4.79  -4.81  -4.83   \n",
       "PE_Segment_2_Strd       -4.22  -4.24  -4.25  -4.27  -4.29  -4.31  -4.32   \n",
       "PE_Segment_3_WO         -3.40  -3.42  -3.44  -3.45  -3.47  -3.49  -3.50   \n",
       "Elasticity_Promotion_1  -3.95  -3.97  -3.99  -4.01  -4.03  -4.05  -4.07   \n",
       "Elasticity_Promotion_0  -4.15  -4.16  -4.18  -4.20  -4.22  -4.24  -4.25   \n",
       "\n",
       "                          254    255    256    257    258    259    260  \\\n",
       "Price_Point              3.04   3.05   3.06   3.07   3.08   3.09   3.10   \n",
       "Mean_PE                 -6.94  -6.97  -6.99  -7.02  -7.05  -7.07  -7.10   \n",
       "PE_Segment_0_FO        -10.89 -10.93 -10.97 -11.01 -11.04 -11.08 -11.12   \n",
       "PE_Segment_1_Cf         -4.86  -4.88  -4.90  -4.92  -4.94  -4.97  -4.99   \n",
       "PE_Segment_2_Strd       -4.34  -4.36  -4.38  -4.40  -4.41  -4.43  -4.45   \n",
       "PE_Segment_3_WO         -3.52  -3.53  -3.55  -3.57  -3.58  -3.60  -3.61   \n",
       "Elasticity_Promotion_1  -4.09  -4.11  -4.13  -4.15  -4.17  -4.19  -4.20   \n",
       "Elasticity_Promotion_0  -4.27  -4.29  -4.31  -4.32  -4.34  -4.36  -4.38   \n",
       "\n",
       "                          261    262    263    264    265    266    267  \\\n",
       "Price_Point              3.11   3.12   3.13   3.14   3.15   3.16   3.17   \n",
       "Mean_PE                 -7.13  -7.16  -7.18  -7.21  -7.24  -7.26  -7.29   \n",
       "PE_Segment_0_FO        -11.16 -11.19 -11.23 -11.27 -11.31 -11.34 -11.38   \n",
       "PE_Segment_1_Cf         -5.01  -5.03  -5.05  -5.07  -5.10  -5.12  -5.14   \n",
       "PE_Segment_2_Strd       -4.47  -4.48  -4.50  -4.52  -4.54  -4.55  -4.57   \n",
       "PE_Segment_3_WO         -3.63  -3.65  -3.66  -3.68  -3.69  -3.71  -3.72   \n",
       "Elasticity_Promotion_1  -4.22  -4.24  -4.26  -4.28  -4.30  -4.32  -4.34   \n",
       "Elasticity_Promotion_0  -4.40  -4.41  -4.43  -4.45  -4.47  -4.48  -4.50   \n",
       "\n",
       "                          268    269    270    271    272    273    274  \\\n",
       "Price_Point              3.18   3.19   3.20   3.21   3.22   3.23   3.24   \n",
       "Mean_PE                 -7.32  -7.34  -7.37  -7.39  -7.42  -7.45  -7.47   \n",
       "PE_Segment_0_FO        -11.42 -11.46 -11.49 -11.53 -11.57 -11.61 -11.64   \n",
       "PE_Segment_1_Cf         -5.16  -5.18  -5.20  -5.22  -5.25  -5.27  -5.29   \n",
       "PE_Segment_2_Strd       -4.59  -4.61  -4.62  -4.64  -4.66  -4.68  -4.69   \n",
       "PE_Segment_3_WO         -3.74  -3.76  -3.77  -3.79  -3.80  -3.82  -3.84   \n",
       "Elasticity_Promotion_1  -4.36  -4.38  -4.40  -4.42  -4.43  -4.45  -4.47   \n",
       "Elasticity_Promotion_0  -4.52  -4.54  -4.55  -4.57  -4.59  -4.61  -4.62   \n",
       "\n",
       "                          275    276    277    278    279    280    281  \\\n",
       "Price_Point              3.25   3.26   3.27   3.28   3.29   3.30   3.31   \n",
       "Mean_PE                 -7.50  -7.53  -7.55  -7.58  -7.60  -7.63  -7.66   \n",
       "PE_Segment_0_FO        -11.68 -11.72 -11.75 -11.79 -11.83 -11.86 -11.90   \n",
       "PE_Segment_1_Cf         -5.31  -5.33  -5.35  -5.37  -5.39  -5.41  -5.44   \n",
       "PE_Segment_2_Strd       -4.71  -4.73  -4.74  -4.76  -4.78  -4.80  -4.81   \n",
       "PE_Segment_3_WO         -3.85  -3.87  -3.88  -3.90  -3.91  -3.93  -3.94   \n",
       "Elasticity_Promotion_1  -4.49  -4.51  -4.53  -4.55  -4.57  -4.59  -4.60   \n",
       "Elasticity_Promotion_0  -4.64  -4.66  -4.68  -4.69  -4.71  -4.73  -4.74   \n",
       "\n",
       "                          282    283    284    285    286    287    288  \\\n",
       "Price_Point              3.32   3.33   3.34   3.35   3.36   3.37   3.38   \n",
       "Mean_PE                 -7.68  -7.71  -7.73  -7.76  -7.78  -7.81  -7.83   \n",
       "PE_Segment_0_FO        -11.94 -11.98 -12.01 -12.05 -12.09 -12.12 -12.16   \n",
       "PE_Segment_1_Cf         -5.46  -5.48  -5.50  -5.52  -5.54  -5.56  -5.58   \n",
       "PE_Segment_2_Strd       -4.83  -4.85  -4.86  -4.88  -4.90  -4.92  -4.93   \n",
       "PE_Segment_3_WO         -3.96  -3.98  -3.99  -4.01  -4.02  -4.04  -4.05   \n",
       "Elasticity_Promotion_1  -4.62  -4.64  -4.66  -4.68  -4.70  -4.72  -4.73   \n",
       "Elasticity_Promotion_0  -4.76  -4.78  -4.80  -4.81  -4.83  -4.85  -4.86   \n",
       "\n",
       "                          289    290    291    292    293    294    295  \\\n",
       "Price_Point              3.39   3.40   3.41   3.42   3.43   3.44   3.45   \n",
       "Mean_PE                 -7.86  -7.89  -7.91  -7.94  -7.96  -7.99  -8.01   \n",
       "PE_Segment_0_FO        -12.20 -12.23 -12.27 -12.31 -12.34 -12.38 -12.42   \n",
       "PE_Segment_1_Cf         -5.60  -5.62  -5.64  -5.66  -5.68  -5.70  -5.72   \n",
       "PE_Segment_2_Strd       -4.95  -4.97  -4.98  -5.00  -5.02  -5.03  -5.05   \n",
       "PE_Segment_3_WO         -4.07  -4.08  -4.10  -4.12  -4.13  -4.15  -4.16   \n",
       "Elasticity_Promotion_1  -4.75  -4.77  -4.79  -4.81  -4.83  -4.84  -4.86   \n",
       "Elasticity_Promotion_0  -4.88  -4.90  -4.92  -4.93  -4.95  -4.97  -4.98   \n",
       "\n",
       "                          296    297    298    299  \n",
       "Price_Point              3.46   3.47   3.48   3.49  \n",
       "Mean_PE                 -8.04  -8.06  -8.09  -8.11  \n",
       "PE_Segment_0_FO        -12.45 -12.49 -12.53 -12.56  \n",
       "PE_Segment_1_Cf         -5.74  -5.76  -5.78  -5.80  \n",
       "PE_Segment_2_Strd       -5.07  -5.09  -5.10  -5.12  \n",
       "PE_Segment_3_WO         -4.18  -4.19  -4.21  -4.22  \n",
       "Elasticity_Promotion_1  -4.88  -4.90  -4.92  -4.93  \n",
       "Elasticity_Promotion_0  -5.00  -5.02  -5.03  -5.05  "
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Update master data to include elasticities of purchase probability with promotion feature\n",
    "df_price_elasticities['Elasticity_Promotion_1'] = price_elasticity_promo \n",
    "# Update master data frame to include purchase probability elasticities without promotion.\n",
    "# We can now see the values with and without promotion and compare them for each price point in our price range.\n",
    "df_price_elasticities['Elasticity_Promotion_0'] = price_elasticity_no_promo\n",
    "price_elasticities = df_price_elasticities.T\n",
    "price_elasticities.to_csv('price_elasticities.csv')\n",
    "price_elasticities"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Result "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot purchase elasticities with and without promotion.\n",
    "plt.figure(figsize = (9, 6))\n",
    "plt.plot(price_range, price_elasticity_no_promo, label = 'Price Elasticity without Promotion')\n",
    "plt.plot(price_range, price_elasticity_promo, label = 'Price Elasticity with Promotion')\n",
    "plt.xlabel('Price',fontsize =15)\n",
    "plt.ylabel('Elasticity',fontsize =15)\n",
    "plt.title('Price Elasticity of Purchase Probability with and without Promotion',fontsize =17)\n",
    "# Show the legend\n",
    "plt.legend( bbox_to_anchor = (1, 0.5), loc = 6)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "> Note that the two lines in the graph represent the elasticity of purchase probability given maximum and given minimum promotional activity. This graph here tells us that the elasticity curve with promotion sits above its respective no promotion\n",
    "counterpart for the entire price range. <br>\n",
    "In addition, when we see the master data frame (df_price_elasticities), we can notice that in elasticity for no promotion ends at 1,27 dollors, while for promotion at 1,46. That's a difference of almost 20 cents.<br><br>\n",
    "In other words, if a product has a regular price of 1,30 dollars, the purchase probability is elastic. However if a product cost 1,50 dollars on the regular and its price is reduced to the 1,30 dollars during a promotion, then my analysis says that purchase probability is still inelastic at this point.<br><br>\n",
    "People are more willing to buy products at promotional prices be it because of the large discount signs in some stores or just because psychologically people feel they're getting a bargain. In any case customers are less price sensitive to similar price changes when there are promotion activities. It definitely pays off to offer discounts. It would be more beneficial to have a higher original price and constant promotion rather than a lower original price. "
   ]
  }
 ],
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