CovidBeta/CovidBeta.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# COVID-19 Beta\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "from datetime import datetime as dt\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import yfinance as yf\n",
    "\n",
    "plt.style.use(\"seaborn-deep\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## COVID-19 Data\n",
    "\n",
    "We will use this NY Times [github repo](https://github.com/nytimes/covid-19-data) as the source of our COVID-19 Data (US only). One key problem with this dataset is that they retroactively fix datapoints, meaning that this data is not what we would have observed at the time. This limits the out-of-sample validity of this investigation.\n",
    "\n",
    "We will use COVID cases and deaths as two separate \"factors\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>cases</th>\n",
       "      <th>deaths</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-21</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-22</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-23</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-24</th>\n",
       "      <td>2</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-25</th>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            cases  deaths\n",
       "date                     \n",
       "2020-01-21      1       0\n",
       "2020-01-22      1       0\n",
       "2020-01-23      1       0\n",
       "2020-01-24      2       0\n",
       "2020-01-25      3       0"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Covid data\n",
    "covid = pd.read_csv(\"nytimes_us_data.csv\", parse_dates=[\"date\"], index_col=\"date\")\n",
    "covid.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "def dual_plot(series1, series2, label1=\"1\", label2=\"2\", color1=\"darkblue\", color2=\"darkred\", figsize=(9,6)):\n",
    "    fig, ax1 = plt.subplots(figsize=figsize)\n",
    "    ax1.set_ylabel(label1, color=color1)\n",
    "    series1.plot(ax=ax1, color=color1)\n",
    "    ax1.tick_params(axis=\"y\", labelcolor=color1)\n",
    "\n",
    "    ax2 = ax1.twinx()  # instantiate a second axes that shares the same x-axis\n",
    "    ax2.set_ylabel(label2, color=color2)  # we already handled the x-label with ax1\n",
    "    series2.plot(ax=ax2, color=color2)\n",
    "    ax2.tick_params(axis='y', labelcolor=color2)\n",
    "\n",
    "    fig.tight_layout()  # otherwise the right y-label is slightly clipped\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dual_plot(covid.cases, covid.deaths, \"Cases\", \"Deaths\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "dual_plot(covid.cases.diff(), covid.deaths.diff(), \"New cases\", \"New deaths\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "covid.cases.iloc[50:].pct_change().hist(bins=50);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Asset prices\n",
    "\n",
    "We will be computing the beta of S&P500 constituents to each COVID factor (cases and deaths\"). In other words, we regress the asset returns to the daily percentage change in COVID.\n",
    "\n",
    "We get the SPY constituents from [here](https://github.com/datasets/s-and-p-500-companies-financials) then use yfinance to pull historical YTD adjusted closes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Symbol</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sector</th>\n",
       "      <th>Price</th>\n",
       "      <th>Price/Earnings</th>\n",
       "      <th>Dividend Yield</th>\n",
       "      <th>Earnings/Share</th>\n",
       "      <th>52 Week Low</th>\n",
       "      <th>52 Week High</th>\n",
       "      <th>Market Cap</th>\n",
       "      <th>EBITDA</th>\n",
       "      <th>Price/Sales</th>\n",
       "      <th>Price/Book</th>\n",
       "      <th>SEC Filings</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>MMM</td>\n",
       "      <td>3M Company</td>\n",
       "      <td>Industrials</td>\n",
       "      <td>222.89</td>\n",
       "      <td>24.31</td>\n",
       "      <td>2.332862</td>\n",
       "      <td>7.92</td>\n",
       "      <td>259.77</td>\n",
       "      <td>175.490</td>\n",
       "      <td>138721055226</td>\n",
       "      <td>9.048000e+09</td>\n",
       "      <td>4.390271</td>\n",
       "      <td>11.34</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>AOS</td>\n",
       "      <td>A.O. Smith Corp</td>\n",
       "      <td>Industrials</td>\n",
       "      <td>60.24</td>\n",
       "      <td>27.76</td>\n",
       "      <td>1.147959</td>\n",
       "      <td>1.70</td>\n",
       "      <td>68.39</td>\n",
       "      <td>48.925</td>\n",
       "      <td>10783419933</td>\n",
       "      <td>6.010000e+08</td>\n",
       "      <td>3.575483</td>\n",
       "      <td>6.35</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ABT</td>\n",
       "      <td>Abbott Laboratories</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>56.27</td>\n",
       "      <td>22.51</td>\n",
       "      <td>1.908982</td>\n",
       "      <td>0.26</td>\n",
       "      <td>64.60</td>\n",
       "      <td>42.280</td>\n",
       "      <td>102121042306</td>\n",
       "      <td>5.744000e+09</td>\n",
       "      <td>3.740480</td>\n",
       "      <td>3.19</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ABBV</td>\n",
       "      <td>AbbVie Inc.</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>108.48</td>\n",
       "      <td>19.41</td>\n",
       "      <td>2.499560</td>\n",
       "      <td>3.29</td>\n",
       "      <td>125.86</td>\n",
       "      <td>60.050</td>\n",
       "      <td>181386347059</td>\n",
       "      <td>1.031000e+10</td>\n",
       "      <td>6.291571</td>\n",
       "      <td>26.14</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ACN</td>\n",
       "      <td>Accenture plc</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>150.51</td>\n",
       "      <td>25.47</td>\n",
       "      <td>1.714470</td>\n",
       "      <td>5.44</td>\n",
       "      <td>162.60</td>\n",
       "      <td>114.820</td>\n",
       "      <td>98765855553</td>\n",
       "      <td>5.643228e+09</td>\n",
       "      <td>2.604117</td>\n",
       "      <td>10.62</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Symbol                 Name                  Sector   Price  Price/Earnings  \\\n",
       "0    MMM           3M Company             Industrials  222.89           24.31   \n",
       "1    AOS      A.O. Smith Corp             Industrials   60.24           27.76   \n",
       "2    ABT  Abbott Laboratories             Health Care   56.27           22.51   \n",
       "3   ABBV          AbbVie Inc.             Health Care  108.48           19.41   \n",
       "4    ACN        Accenture plc  Information Technology  150.51           25.47   \n",
       "\n",
       "   Dividend Yield  Earnings/Share  52 Week Low  52 Week High    Market Cap  \\\n",
       "0        2.332862            7.92       259.77       175.490  138721055226   \n",
       "1        1.147959            1.70        68.39        48.925   10783419933   \n",
       "2        1.908982            0.26        64.60        42.280  102121042306   \n",
       "3        2.499560            3.29       125.86        60.050  181386347059   \n",
       "4        1.714470            5.44       162.60       114.820   98765855553   \n",
       "\n",
       "         EBITDA  Price/Sales  Price/Book  \\\n",
       "0  9.048000e+09     4.390271       11.34   \n",
       "1  6.010000e+08     3.575483        6.35   \n",
       "2  5.744000e+09     3.740480        3.19   \n",
       "3  1.031000e+10     6.291571       26.14   \n",
       "4  5.643228e+09     2.604117       10.62   \n",
       "\n",
       "                                         SEC Filings  \n",
       "0  http://www.sec.gov/cgi-bin/browse-edgar?action...  \n",
       "1  http://www.sec.gov/cgi-bin/browse-edgar?action...  \n",
       "2  http://www.sec.gov/cgi-bin/browse-edgar?action...  \n",
       "3  http://www.sec.gov/cgi-bin/browse-edgar?action...  \n",
       "4  http://www.sec.gov/cgi-bin/browse-edgar?action...  "
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv(\"spy_constituents.csv\")\n",
    "tickers = df.Symbol.tolist()\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "# price_df = yf.download(tickers, period=\"ytd\")[\"Adj Close\"]\n",
    "# price_df.to_csv(\"stock_prices.csv\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>AAL</th>\n",
       "      <th>AAP</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>ABBV</th>\n",
       "      <th>ABC</th>\n",
       "      <th>ABMD</th>\n",
       "      <th>ABT</th>\n",
       "      <th>ACN</th>\n",
       "      <th>ADBE</th>\n",
       "      <th>...</th>\n",
       "      <th>XLNX</th>\n",
       "      <th>XOM</th>\n",
       "      <th>XRAY</th>\n",
       "      <th>XRX</th>\n",
       "      <th>XYL</th>\n",
       "      <th>YUM</th>\n",
       "      <th>ZBH</th>\n",
       "      <th>ZBRA</th>\n",
       "      <th>ZION</th>\n",
       "      <th>ZTS</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>85.398193</td>\n",
       "      <td>28.982893</td>\n",
       "      <td>158.154831</td>\n",
       "      <td>74.573036</td>\n",
       "      <td>84.852608</td>\n",
       "      <td>83.938957</td>\n",
       "      <td>168.809998</td>\n",
       "      <td>85.600449</td>\n",
       "      <td>206.829712</td>\n",
       "      <td>334.429993</td>\n",
       "      <td>...</td>\n",
       "      <td>100.399811</td>\n",
       "      <td>67.240555</td>\n",
       "      <td>56.502354</td>\n",
       "      <td>35.372929</td>\n",
       "      <td>79.031929</td>\n",
       "      <td>100.691872</td>\n",
       "      <td>148.258896</td>\n",
       "      <td>259.140015</td>\n",
       "      <td>50.968010</td>\n",
       "      <td>133.375900</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>84.027046</td>\n",
       "      <td>27.548195</td>\n",
       "      <td>158.164749</td>\n",
       "      <td>73.848030</td>\n",
       "      <td>84.047203</td>\n",
       "      <td>82.883308</td>\n",
       "      <td>166.820007</td>\n",
       "      <td>84.556908</td>\n",
       "      <td>206.485229</td>\n",
       "      <td>331.809998</td>\n",
       "      <td>...</td>\n",
       "      <td>98.088585</td>\n",
       "      <td>66.699974</td>\n",
       "      <td>55.877087</td>\n",
       "      <td>34.913166</td>\n",
       "      <td>79.497108</td>\n",
       "      <td>100.376495</td>\n",
       "      <td>147.871353</td>\n",
       "      <td>256.049988</td>\n",
       "      <td>50.248787</td>\n",
       "      <td>133.395782</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>84.275452</td>\n",
       "      <td>27.219410</td>\n",
       "      <td>155.565384</td>\n",
       "      <td>74.436470</td>\n",
       "      <td>84.710480</td>\n",
       "      <td>84.096809</td>\n",
       "      <td>179.039993</td>\n",
       "      <td>84.999916</td>\n",
       "      <td>205.136902</td>\n",
       "      <td>333.709991</td>\n",
       "      <td>...</td>\n",
       "      <td>96.044044</td>\n",
       "      <td>67.212105</td>\n",
       "      <td>56.184761</td>\n",
       "      <td>34.386356</td>\n",
       "      <td>78.982445</td>\n",
       "      <td>100.317375</td>\n",
       "      <td>147.016785</td>\n",
       "      <td>258.010010</td>\n",
       "      <td>49.636467</td>\n",
       "      <td>132.371658</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-07</th>\n",
       "      <td>84.533775</td>\n",
       "      <td>27.119778</td>\n",
       "      <td>153.720047</td>\n",
       "      <td>74.086395</td>\n",
       "      <td>84.227234</td>\n",
       "      <td>83.494980</td>\n",
       "      <td>180.350006</td>\n",
       "      <td>84.527367</td>\n",
       "      <td>200.707962</td>\n",
       "      <td>333.390015</td>\n",
       "      <td>...</td>\n",
       "      <td>98.236748</td>\n",
       "      <td>66.662033</td>\n",
       "      <td>56.482506</td>\n",
       "      <td>34.434250</td>\n",
       "      <td>78.685516</td>\n",
       "      <td>100.494774</td>\n",
       "      <td>146.887604</td>\n",
       "      <td>256.470001</td>\n",
       "      <td>49.335167</td>\n",
       "      <td>132.819077</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-08</th>\n",
       "      <td>85.368385</td>\n",
       "      <td>27.737495</td>\n",
       "      <td>151.954056</td>\n",
       "      <td>75.278160</td>\n",
       "      <td>84.824188</td>\n",
       "      <td>84.303986</td>\n",
       "      <td>178.690002</td>\n",
       "      <td>84.871948</td>\n",
       "      <td>201.101685</td>\n",
       "      <td>337.869995</td>\n",
       "      <td>...</td>\n",
       "      <td>97.960182</td>\n",
       "      <td>65.656754</td>\n",
       "      <td>57.077999</td>\n",
       "      <td>34.415089</td>\n",
       "      <td>78.952736</td>\n",
       "      <td>100.672165</td>\n",
       "      <td>148.646439</td>\n",
       "      <td>247.639999</td>\n",
       "      <td>49.821129</td>\n",
       "      <td>132.530716</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 499 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                    A        AAL         AAP       AAPL       ABBV        ABC  \\\n",
       "Date                                                                            \n",
       "2020-01-02  85.398193  28.982893  158.154831  74.573036  84.852608  83.938957   \n",
       "2020-01-03  84.027046  27.548195  158.164749  73.848030  84.047203  82.883308   \n",
       "2020-01-06  84.275452  27.219410  155.565384  74.436470  84.710480  84.096809   \n",
       "2020-01-07  84.533775  27.119778  153.720047  74.086395  84.227234  83.494980   \n",
       "2020-01-08  85.368385  27.737495  151.954056  75.278160  84.824188  84.303986   \n",
       "\n",
       "                  ABMD        ABT         ACN        ADBE  ...        XLNX  \\\n",
       "Date                                                       ...               \n",
       "2020-01-02  168.809998  85.600449  206.829712  334.429993  ...  100.399811   \n",
       "2020-01-03  166.820007  84.556908  206.485229  331.809998  ...   98.088585   \n",
       "2020-01-06  179.039993  84.999916  205.136902  333.709991  ...   96.044044   \n",
       "2020-01-07  180.350006  84.527367  200.707962  333.390015  ...   98.236748   \n",
       "2020-01-08  178.690002  84.871948  201.101685  337.869995  ...   97.960182   \n",
       "\n",
       "                  XOM       XRAY        XRX        XYL         YUM  \\\n",
       "Date                                                                 \n",
       "2020-01-02  67.240555  56.502354  35.372929  79.031929  100.691872   \n",
       "2020-01-03  66.699974  55.877087  34.913166  79.497108  100.376495   \n",
       "2020-01-06  67.212105  56.184761  34.386356  78.982445  100.317375   \n",
       "2020-01-07  66.662033  56.482506  34.434250  78.685516  100.494774   \n",
       "2020-01-08  65.656754  57.077999  34.415089  78.952736  100.672165   \n",
       "\n",
       "                   ZBH        ZBRA       ZION         ZTS  \n",
       "Date                                                       \n",
       "2020-01-02  148.258896  259.140015  50.968010  133.375900  \n",
       "2020-01-03  147.871353  256.049988  50.248787  133.395782  \n",
       "2020-01-06  147.016785  258.010010  49.636467  132.371658  \n",
       "2020-01-07  146.887604  256.470001  49.335167  132.819077  \n",
       "2020-01-08  148.646439  247.639999  49.821129  132.530716  \n",
       "\n",
       "[5 rows x 499 columns]"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price_df = pd.read_csv(\"stock_prices.csv\", parse_dates=[\"Date\"], index_col=\"Date\")\n",
    "# Drop cols with missing\n",
    "price_df = price_df.dropna(how=\"any\", axis=1)\n",
    "price_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
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       "\n",
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       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SPY</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-01-02</th>\n",
       "      <td>3257.850098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-03</th>\n",
       "      <td>3234.850098</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-06</th>\n",
       "      <td>3246.280029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-07</th>\n",
       "      <td>3237.179932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-01-08</th>\n",
       "      <td>3253.050049</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                    SPY\n",
       "Date                   \n",
       "2020-01-02  3257.850098\n",
       "2020-01-03  3234.850098\n",
       "2020-01-06  3246.280029\n",
       "2020-01-07  3237.179932\n",
       "2020-01-08  3253.050049"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# spy_df = yf.download(\"^GSPC\", period=\"ytd\")[\"Adj Close\"]\n",
    "# spy_df.to_csv(\"spy_prices.csv\")\n",
    "spy_df = (\n",
    "    pd.read_csv(\"spy_prices.csv\", parse_dates=[\"Date\"], index_col=\"Date\")\n",
    "    .rename({\"Adj Close\":\"SPY\"}, axis=1)\n",
    ")\n",
    "spy_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Computing betas"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
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       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
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       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>A</th>\n",
       "      <th>AAL</th>\n",
       "      <th>AAP</th>\n",
       "      <th>AAPL</th>\n",
       "      <th>ABBV</th>\n",
       "      <th>ABC</th>\n",
       "      <th>ABMD</th>\n",
       "      <th>ABT</th>\n",
       "      <th>ACN</th>\n",
       "      <th>ADBE</th>\n",
       "      <th>...</th>\n",
       "      <th>XRX</th>\n",
       "      <th>XYL</th>\n",
       "      <th>YUM</th>\n",
       "      <th>ZBH</th>\n",
       "      <th>ZBRA</th>\n",
       "      <th>ZION</th>\n",
       "      <th>ZTS</th>\n",
       "      <th>cases</th>\n",
       "      <th>deaths</th>\n",
       "      <th>SPY</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-02-19</th>\n",
       "      <td>84.802040</td>\n",
       "      <td>28.330000</td>\n",
       "      <td>139.016724</td>\n",
       "      <td>80.541367</td>\n",
       "      <td>90.406998</td>\n",
       "      <td>94.267532</td>\n",
       "      <td>167.899994</td>\n",
       "      <td>88.346695</td>\n",
       "      <td>213.330124</td>\n",
       "      <td>383.279999</td>\n",
       "      <td>...</td>\n",
       "      <td>35.219673</td>\n",
       "      <td>87.058846</td>\n",
       "      <td>104.132797</td>\n",
       "      <td>159.010651</td>\n",
       "      <td>240.500000</td>\n",
       "      <td>44.853638</td>\n",
       "      <td>143.446472</td>\n",
       "      <td>25</td>\n",
       "      <td>0</td>\n",
       "      <td>3386.149902</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-02-20</th>\n",
       "      <td>83.798531</td>\n",
       "      <td>28.510000</td>\n",
       "      <td>141.358139</td>\n",
       "      <td>79.715088</td>\n",
       "      <td>90.493431</td>\n",
       "      <td>95.654846</td>\n",
       "      <td>168.080002</td>\n",
       "      <td>87.456902</td>\n",
       "      <td>211.334335</td>\n",
       "      <td>378.959991</td>\n",
       "      <td>...</td>\n",
       "      <td>35.229252</td>\n",
       "      <td>87.751678</td>\n",
       "      <td>102.826073</td>\n",
       "      <td>157.390930</td>\n",
       "      <td>242.720001</td>\n",
       "      <td>45.284451</td>\n",
       "      <td>142.938660</td>\n",
       "      <td>27</td>\n",
       "      <td>0</td>\n",
       "      <td>3373.229980</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-02-21</th>\n",
       "      <td>84.523842</td>\n",
       "      <td>27.820000</td>\n",
       "      <td>139.502869</td>\n",
       "      <td>77.910744</td>\n",
       "      <td>91.194481</td>\n",
       "      <td>96.120583</td>\n",
       "      <td>166.740005</td>\n",
       "      <td>86.458351</td>\n",
       "      <td>209.348465</td>\n",
       "      <td>372.950012</td>\n",
       "      <td>...</td>\n",
       "      <td>34.807800</td>\n",
       "      <td>87.613098</td>\n",
       "      <td>102.469681</td>\n",
       "      <td>156.397232</td>\n",
       "      <td>238.389999</td>\n",
       "      <td>44.481567</td>\n",
       "      <td>141.624268</td>\n",
       "      <td>30</td>\n",
       "      <td>0</td>\n",
       "      <td>3337.750000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-02-24</th>\n",
       "      <td>79.983185</td>\n",
       "      <td>25.450001</td>\n",
       "      <td>138.808395</td>\n",
       "      <td>74.209946</td>\n",
       "      <td>89.446648</td>\n",
       "      <td>94.069351</td>\n",
       "      <td>165.289993</td>\n",
       "      <td>83.670326</td>\n",
       "      <td>201.908783</td>\n",
       "      <td>357.410004</td>\n",
       "      <td>...</td>\n",
       "      <td>33.390205</td>\n",
       "      <td>85.544518</td>\n",
       "      <td>99.242447</td>\n",
       "      <td>153.356537</td>\n",
       "      <td>227.399994</td>\n",
       "      <td>42.846432</td>\n",
       "      <td>137.800613</td>\n",
       "      <td>43</td>\n",
       "      <td>0</td>\n",
       "      <td>3225.889893</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-02-25</th>\n",
       "      <td>77.449554</td>\n",
       "      <td>23.120001</td>\n",
       "      <td>136.516586</td>\n",
       "      <td>71.696297</td>\n",
       "      <td>85.643684</td>\n",
       "      <td>92.087479</td>\n",
       "      <td>158.800003</td>\n",
       "      <td>80.210014</td>\n",
       "      <td>194.735870</td>\n",
       "      <td>347.799988</td>\n",
       "      <td>...</td>\n",
       "      <td>34.922745</td>\n",
       "      <td>83.466026</td>\n",
       "      <td>96.965561</td>\n",
       "      <td>148.785553</td>\n",
       "      <td>220.000000</td>\n",
       "      <td>41.495243</td>\n",
       "      <td>134.245834</td>\n",
       "      <td>45</td>\n",
       "      <td>0</td>\n",
       "      <td>3128.209961</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-10-26</th>\n",
       "      <td>104.629997</td>\n",
       "      <td>11.800000</td>\n",
       "      <td>151.210007</td>\n",
       "      <td>115.050003</td>\n",
       "      <td>83.919998</td>\n",
       "      <td>98.370003</td>\n",
       "      <td>288.320007</td>\n",
       "      <td>109.000000</td>\n",
       "      <td>219.229996</td>\n",
       "      <td>475.200012</td>\n",
       "      <td>...</td>\n",
       "      <td>18.920000</td>\n",
       "      <td>90.070000</td>\n",
       "      <td>99.199997</td>\n",
       "      <td>139.509995</td>\n",
       "      <td>295.100006</td>\n",
       "      <td>32.459999</td>\n",
       "      <td>160.479996</td>\n",
       "      <td>8777118</td>\n",
       "      <td>225698</td>\n",
       "      <td>3400.969971</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-10-27</th>\n",
       "      <td>106.040001</td>\n",
       "      <td>11.230000</td>\n",
       "      <td>150.410004</td>\n",
       "      <td>116.599998</td>\n",
       "      <td>82.709999</td>\n",
       "      <td>97.650002</td>\n",
       "      <td>290.510010</td>\n",
       "      <td>108.580002</td>\n",
       "      <td>220.660004</td>\n",
       "      <td>478.559998</td>\n",
       "      <td>...</td>\n",
       "      <td>18.520000</td>\n",
       "      <td>89.059998</td>\n",
       "      <td>97.989998</td>\n",
       "      <td>138.600006</td>\n",
       "      <td>289.279999</td>\n",
       "      <td>31.080000</td>\n",
       "      <td>162.470001</td>\n",
       "      <td>8851546</td>\n",
       "      <td>226681</td>\n",
       "      <td>3390.679932</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-10-28</th>\n",
       "      <td>101.660004</td>\n",
       "      <td>10.950000</td>\n",
       "      <td>146.380005</td>\n",
       "      <td>111.199997</td>\n",
       "      <td>80.489998</td>\n",
       "      <td>95.699997</td>\n",
       "      <td>283.000000</td>\n",
       "      <td>106.419998</td>\n",
       "      <td>213.940002</td>\n",
       "      <td>456.970001</td>\n",
       "      <td>...</td>\n",
       "      <td>17.230000</td>\n",
       "      <td>87.349998</td>\n",
       "      <td>95.059998</td>\n",
       "      <td>133.369995</td>\n",
       "      <td>285.200012</td>\n",
       "      <td>30.600000</td>\n",
       "      <td>158.690002</td>\n",
       "      <td>8933448</td>\n",
       "      <td>227697</td>\n",
       "      <td>3271.030029</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-10-29</th>\n",
       "      <td>102.019997</td>\n",
       "      <td>11.160000</td>\n",
       "      <td>146.000000</td>\n",
       "      <td>115.320000</td>\n",
       "      <td>80.669998</td>\n",
       "      <td>94.589996</td>\n",
       "      <td>254.610001</td>\n",
       "      <td>105.000000</td>\n",
       "      <td>216.440002</td>\n",
       "      <td>461.109985</td>\n",
       "      <td>...</td>\n",
       "      <td>17.650000</td>\n",
       "      <td>86.860001</td>\n",
       "      <td>94.940002</td>\n",
       "      <td>133.839996</td>\n",
       "      <td>291.970001</td>\n",
       "      <td>31.559999</td>\n",
       "      <td>161.190002</td>\n",
       "      <td>9024176</td>\n",
       "      <td>228701</td>\n",
       "      <td>3310.110107</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-10-30</th>\n",
       "      <td>102.089996</td>\n",
       "      <td>11.280000</td>\n",
       "      <td>147.279999</td>\n",
       "      <td>108.860001</td>\n",
       "      <td>85.099998</td>\n",
       "      <td>96.070000</td>\n",
       "      <td>251.880005</td>\n",
       "      <td>105.110001</td>\n",
       "      <td>216.910004</td>\n",
       "      <td>447.100006</td>\n",
       "      <td>...</td>\n",
       "      <td>17.379999</td>\n",
       "      <td>87.139999</td>\n",
       "      <td>93.330002</td>\n",
       "      <td>132.100006</td>\n",
       "      <td>283.640015</td>\n",
       "      <td>32.270000</td>\n",
       "      <td>158.550003</td>\n",
       "      <td>9123960</td>\n",
       "      <td>229672</td>\n",
       "      <td>3269.959961</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>179 rows × 502 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                     A        AAL         AAP        AAPL       ABBV  \\\n",
       "2020-02-19   84.802040  28.330000  139.016724   80.541367  90.406998   \n",
       "2020-02-20   83.798531  28.510000  141.358139   79.715088  90.493431   \n",
       "2020-02-21   84.523842  27.820000  139.502869   77.910744  91.194481   \n",
       "2020-02-24   79.983185  25.450001  138.808395   74.209946  89.446648   \n",
       "2020-02-25   77.449554  23.120001  136.516586   71.696297  85.643684   \n",
       "...                ...        ...         ...         ...        ...   \n",
       "2020-10-26  104.629997  11.800000  151.210007  115.050003  83.919998   \n",
       "2020-10-27  106.040001  11.230000  150.410004  116.599998  82.709999   \n",
       "2020-10-28  101.660004  10.950000  146.380005  111.199997  80.489998   \n",
       "2020-10-29  102.019997  11.160000  146.000000  115.320000  80.669998   \n",
       "2020-10-30  102.089996  11.280000  147.279999  108.860001  85.099998   \n",
       "\n",
       "                  ABC        ABMD         ABT         ACN        ADBE  ...  \\\n",
       "2020-02-19  94.267532  167.899994   88.346695  213.330124  383.279999  ...   \n",
       "2020-02-20  95.654846  168.080002   87.456902  211.334335  378.959991  ...   \n",
       "2020-02-21  96.120583  166.740005   86.458351  209.348465  372.950012  ...   \n",
       "2020-02-24  94.069351  165.289993   83.670326  201.908783  357.410004  ...   \n",
       "2020-02-25  92.087479  158.800003   80.210014  194.735870  347.799988  ...   \n",
       "...               ...         ...         ...         ...         ...  ...   \n",
       "2020-10-26  98.370003  288.320007  109.000000  219.229996  475.200012  ...   \n",
       "2020-10-27  97.650002  290.510010  108.580002  220.660004  478.559998  ...   \n",
       "2020-10-28  95.699997  283.000000  106.419998  213.940002  456.970001  ...   \n",
       "2020-10-29  94.589996  254.610001  105.000000  216.440002  461.109985  ...   \n",
       "2020-10-30  96.070000  251.880005  105.110001  216.910004  447.100006  ...   \n",
       "\n",
       "                  XRX        XYL         YUM         ZBH        ZBRA  \\\n",
       "2020-02-19  35.219673  87.058846  104.132797  159.010651  240.500000   \n",
       "2020-02-20  35.229252  87.751678  102.826073  157.390930  242.720001   \n",
       "2020-02-21  34.807800  87.613098  102.469681  156.397232  238.389999   \n",
       "2020-02-24  33.390205  85.544518   99.242447  153.356537  227.399994   \n",
       "2020-02-25  34.922745  83.466026   96.965561  148.785553  220.000000   \n",
       "...               ...        ...         ...         ...         ...   \n",
       "2020-10-26  18.920000  90.070000   99.199997  139.509995  295.100006   \n",
       "2020-10-27  18.520000  89.059998   97.989998  138.600006  289.279999   \n",
       "2020-10-28  17.230000  87.349998   95.059998  133.369995  285.200012   \n",
       "2020-10-29  17.650000  86.860001   94.940002  133.839996  291.970001   \n",
       "2020-10-30  17.379999  87.139999   93.330002  132.100006  283.640015   \n",
       "\n",
       "                 ZION         ZTS    cases  deaths          SPY  \n",
       "2020-02-19  44.853638  143.446472       25       0  3386.149902  \n",
       "2020-02-20  45.284451  142.938660       27       0  3373.229980  \n",
       "2020-02-21  44.481567  141.624268       30       0  3337.750000  \n",
       "2020-02-24  42.846432  137.800613       43       0  3225.889893  \n",
       "2020-02-25  41.495243  134.245834       45       0  3128.209961  \n",
       "...               ...         ...      ...     ...          ...  \n",
       "2020-10-26  32.459999  160.479996  8777118  225698  3400.969971  \n",
       "2020-10-27  31.080000  162.470001  8851546  226681  3390.679932  \n",
       "2020-10-28  30.600000  158.690002  8933448  227697  3271.030029  \n",
       "2020-10-29  31.559999  161.190002  9024176  228701  3310.110107  \n",
       "2020-10-30  32.270000  158.550003  9123960  229672  3269.959961  \n",
       "\n",
       "[179 rows x 502 columns]"
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "joined = price_df.join(covid, how=\"inner\").join(spy_df, how=\"inner\")\n",
    "tickerlist = joined.columns[:-3]\n",
    "joined.iloc[20:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Regression approach\n",
    "from sklearn import linear_model\n",
    "\n",
    "rets = joined.pct_change().dropna()\n",
    "betas = {}\n",
    "\n",
    "for ticker in tickerlist:\n",
    "    try:\n",
    "        reg = linear_model.LinearRegression()\n",
    "        reg.fit(rets[[\"cases\", \"SPY\"]],rets[ticker])\n",
    "        betas[ticker] = reg.coef_\n",
    "    except:\n",
    "        print(ticker)\n",
    "    \n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "betas = pd.DataFrame(betas, index=[\"cases_beta\", \"SPY_beta\"]).transpose()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Symbol</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sector</th>\n",
       "      <th>Price</th>\n",
       "      <th>Price/Earnings</th>\n",
       "      <th>Dividend Yield</th>\n",
       "      <th>Earnings/Share</th>\n",
       "      <th>52 Week Low</th>\n",
       "      <th>52 Week High</th>\n",
       "      <th>Market Cap</th>\n",
       "      <th>EBITDA</th>\n",
       "      <th>Price/Sales</th>\n",
       "      <th>Price/Book</th>\n",
       "      <th>SEC Filings</th>\n",
       "      <th>cases_beta</th>\n",
       "      <th>SPY_beta</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>MMM</td>\n",
       "      <td>3M Company</td>\n",
       "      <td>Industrials</td>\n",
       "      <td>222.89</td>\n",
       "      <td>24.31</td>\n",
       "      <td>2.332862</td>\n",
       "      <td>7.92</td>\n",
       "      <td>259.77</td>\n",
       "      <td>175.490</td>\n",
       "      <td>138721055226</td>\n",
       "      <td>9.048000e+09</td>\n",
       "      <td>4.390271</td>\n",
       "      <td>11.34</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.001437</td>\n",
       "      <td>0.840696</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>AOS</td>\n",
       "      <td>A.O. Smith Corp</td>\n",
       "      <td>Industrials</td>\n",
       "      <td>60.24</td>\n",
       "      <td>27.76</td>\n",
       "      <td>1.147959</td>\n",
       "      <td>1.70</td>\n",
       "      <td>68.39</td>\n",
       "      <td>48.925</td>\n",
       "      <td>10783419933</td>\n",
       "      <td>6.010000e+08</td>\n",
       "      <td>3.575483</td>\n",
       "      <td>6.35</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.013047</td>\n",
       "      <td>0.718005</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>ABT</td>\n",
       "      <td>Abbott Laboratories</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>56.27</td>\n",
       "      <td>22.51</td>\n",
       "      <td>1.908982</td>\n",
       "      <td>0.26</td>\n",
       "      <td>64.60</td>\n",
       "      <td>42.280</td>\n",
       "      <td>102121042306</td>\n",
       "      <td>5.744000e+09</td>\n",
       "      <td>3.740480</td>\n",
       "      <td>3.19</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.002372</td>\n",
       "      <td>0.855342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>ABBV</td>\n",
       "      <td>AbbVie Inc.</td>\n",
       "      <td>Health Care</td>\n",
       "      <td>108.48</td>\n",
       "      <td>19.41</td>\n",
       "      <td>2.499560</td>\n",
       "      <td>3.29</td>\n",
       "      <td>125.86</td>\n",
       "      <td>60.050</td>\n",
       "      <td>181386347059</td>\n",
       "      <td>1.031000e+10</td>\n",
       "      <td>6.291571</td>\n",
       "      <td>26.14</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.011371</td>\n",
       "      <td>0.681354</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>ACN</td>\n",
       "      <td>Accenture plc</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>150.51</td>\n",
       "      <td>25.47</td>\n",
       "      <td>1.714470</td>\n",
       "      <td>5.44</td>\n",
       "      <td>162.60</td>\n",
       "      <td>114.820</td>\n",
       "      <td>98765855553</td>\n",
       "      <td>5.643228e+09</td>\n",
       "      <td>2.604117</td>\n",
       "      <td>10.62</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.005272</td>\n",
       "      <td>1.051471</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  Symbol                 Name                  Sector   Price  Price/Earnings  \\\n",
       "0    MMM           3M Company             Industrials  222.89           24.31   \n",
       "1    AOS      A.O. Smith Corp             Industrials   60.24           27.76   \n",
       "2    ABT  Abbott Laboratories             Health Care   56.27           22.51   \n",
       "3   ABBV          AbbVie Inc.             Health Care  108.48           19.41   \n",
       "4    ACN        Accenture plc  Information Technology  150.51           25.47   \n",
       "\n",
       "   Dividend Yield  Earnings/Share  52 Week Low  52 Week High    Market Cap  \\\n",
       "0        2.332862            7.92       259.77       175.490  138721055226   \n",
       "1        1.147959            1.70        68.39        48.925   10783419933   \n",
       "2        1.908982            0.26        64.60        42.280  102121042306   \n",
       "3        2.499560            3.29       125.86        60.050  181386347059   \n",
       "4        1.714470            5.44       162.60       114.820   98765855553   \n",
       "\n",
       "         EBITDA  Price/Sales  Price/Book  \\\n",
       "0  9.048000e+09     4.390271       11.34   \n",
       "1  6.010000e+08     3.575483        6.35   \n",
       "2  5.744000e+09     3.740480        3.19   \n",
       "3  1.031000e+10     6.291571       26.14   \n",
       "4  5.643228e+09     2.604117       10.62   \n",
       "\n",
       "                                         SEC Filings  cases_beta  SPY_beta  \n",
       "0  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.001437  0.840696  \n",
       "1  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.013047  0.718005  \n",
       "2  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.002372  0.855342  \n",
       "3  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.011371  0.681354  \n",
       "4  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.005272  1.051471  "
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_merged = df.merge(betas, left_on=\"Symbol\", right_index=True, how=\"inner\")\n",
    "df_merged.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Data analysis"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_merged.cases_beta.hist(bins=50);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Symbol</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sector</th>\n",
       "      <th>Price</th>\n",
       "      <th>Price/Earnings</th>\n",
       "      <th>Dividend Yield</th>\n",
       "      <th>Earnings/Share</th>\n",
       "      <th>52 Week Low</th>\n",
       "      <th>52 Week High</th>\n",
       "      <th>Market Cap</th>\n",
       "      <th>EBITDA</th>\n",
       "      <th>Price/Sales</th>\n",
       "      <th>Price/Book</th>\n",
       "      <th>SEC Filings</th>\n",
       "      <th>cases_beta</th>\n",
       "      <th>SPY_beta</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>49</th>\n",
       "      <td>APA</td>\n",
       "      <td>Apache Corporation</td>\n",
       "      <td>Energy</td>\n",
       "      <td>37.73</td>\n",
       "      <td>-251.53</td>\n",
       "      <td>2.528445</td>\n",
       "      <td>-3.72</td>\n",
       "      <td>57.90</td>\n",
       "      <td>38.140</td>\n",
       "      <td>15066280977</td>\n",
       "      <td>3.265000e+09</td>\n",
       "      <td>3.651366</td>\n",
       "      <td>2.22</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.129761</td>\n",
       "      <td>1.671640</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>346</th>\n",
       "      <td>OXY</td>\n",
       "      <td>Occidental Petroleum</td>\n",
       "      <td>Energy</td>\n",
       "      <td>68.47</td>\n",
       "      <td>195.63</td>\n",
       "      <td>4.408186</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>78.09</td>\n",
       "      <td>57.200</td>\n",
       "      <td>53467692395</td>\n",
       "      <td>5.205000e+09</td>\n",
       "      <td>6.044895</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.082103</td>\n",
       "      <td>1.638488</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>292</th>\n",
       "      <td>MRO</td>\n",
       "      <td>Marathon Oil Corp.</td>\n",
       "      <td>Energy</td>\n",
       "      <td>15.68</td>\n",
       "      <td>-32.00</td>\n",
       "      <td>1.224740</td>\n",
       "      <td>-2.65</td>\n",
       "      <td>19.52</td>\n",
       "      <td>10.550</td>\n",
       "      <td>13875005314</td>\n",
       "      <td>2.266000e+09</td>\n",
       "      <td>4.657875</td>\n",
       "      <td>NaN</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.081550</td>\n",
       "      <td>1.264306</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>348</th>\n",
       "      <td>OKE</td>\n",
       "      <td>ONEOK</td>\n",
       "      <td>Energy</td>\n",
       "      <td>54.40</td>\n",
       "      <td>34.00</td>\n",
       "      <td>5.443620</td>\n",
       "      <td>1.66</td>\n",
       "      <td>61.36</td>\n",
       "      <td>47.140</td>\n",
       "      <td>21988472489</td>\n",
       "      <td>1.851783e+09</td>\n",
       "      <td>2.615956</td>\n",
       "      <td>4.03</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.069308</td>\n",
       "      <td>1.493620</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>205</th>\n",
       "      <td>GPS</td>\n",
       "      <td>Gap Inc.</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>31.17</td>\n",
       "      <td>15.35</td>\n",
       "      <td>2.820356</td>\n",
       "      <td>1.69</td>\n",
       "      <td>35.68</td>\n",
       "      <td>21.020</td>\n",
       "      <td>12684517721</td>\n",
       "      <td>1.959000e+09</td>\n",
       "      <td>1.128974</td>\n",
       "      <td>3.93</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.051908</td>\n",
       "      <td>1.439469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>430</th>\n",
       "      <td>TPR</td>\n",
       "      <td>Tapestry, Inc.</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>48.85</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>2.09</td>\n",
       "      <td>50.71</td>\n",
       "      <td>36.690</td>\n",
       "      <td>14247199374</td>\n",
       "      <td>0.000000e+00</td>\n",
       "      <td>4.078549</td>\n",
       "      <td>4.35</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.048289</td>\n",
       "      <td>1.583849</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>229</th>\n",
       "      <td>HES</td>\n",
       "      <td>Hess Corporation</td>\n",
       "      <td>Energy</td>\n",
       "      <td>43.00</td>\n",
       "      <td>-9.33</td>\n",
       "      <td>2.267060</td>\n",
       "      <td>-19.94</td>\n",
       "      <td>55.48</td>\n",
       "      <td>37.250</td>\n",
       "      <td>14016129999</td>\n",
       "      <td>-8.190000e+08</td>\n",
       "      <td>3.780475</td>\n",
       "      <td>1.08</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.048166</td>\n",
       "      <td>1.361802</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>272</th>\n",
       "      <td>KSS</td>\n",
       "      <td>Kohl's Corp.</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>60.34</td>\n",
       "      <td>16.01</td>\n",
       "      <td>3.496504</td>\n",
       "      <td>3.12</td>\n",
       "      <td>69.14</td>\n",
       "      <td>35.160</td>\n",
       "      <td>10570861198</td>\n",
       "      <td>2.286000e+09</td>\n",
       "      <td>0.855776</td>\n",
       "      <td>2.04</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.047111</td>\n",
       "      <td>1.400060</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>219</th>\n",
       "      <td>HAL</td>\n",
       "      <td>Halliburton Co.</td>\n",
       "      <td>Energy</td>\n",
       "      <td>47.41</td>\n",
       "      <td>38.86</td>\n",
       "      <td>1.448984</td>\n",
       "      <td>-0.53</td>\n",
       "      <td>57.86</td>\n",
       "      <td>38.181</td>\n",
       "      <td>43356557470</td>\n",
       "      <td>2.910000e+09</td>\n",
       "      <td>2.142422</td>\n",
       "      <td>4.74</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.047069</td>\n",
       "      <td>1.762542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>406</th>\n",
       "      <td>SLB</td>\n",
       "      <td>Schlumberger Ltd.</td>\n",
       "      <td>Energy</td>\n",
       "      <td>67.40</td>\n",
       "      <td>44.93</td>\n",
       "      <td>2.867383</td>\n",
       "      <td>-1.08</td>\n",
       "      <td>82.71</td>\n",
       "      <td>61.020</td>\n",
       "      <td>96529311126</td>\n",
       "      <td>3.222000e+09</td>\n",
       "      <td>3.229783</td>\n",
       "      <td>2.64</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>-0.043947</td>\n",
       "      <td>1.383478</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Symbol                  Name                  Sector  Price  \\\n",
       "49     APA    Apache Corporation                  Energy  37.73   \n",
       "346    OXY  Occidental Petroleum                  Energy  68.47   \n",
       "292    MRO    Marathon Oil Corp.                  Energy  15.68   \n",
       "348    OKE                 ONEOK                  Energy  54.40   \n",
       "205    GPS              Gap Inc.  Consumer Discretionary  31.17   \n",
       "430    TPR        Tapestry, Inc.  Consumer Discretionary  48.85   \n",
       "229    HES      Hess Corporation                  Energy  43.00   \n",
       "272    KSS          Kohl's Corp.  Consumer Discretionary  60.34   \n",
       "219    HAL       Halliburton Co.                  Energy  47.41   \n",
       "406    SLB     Schlumberger Ltd.                  Energy  67.40   \n",
       "\n",
       "     Price/Earnings  Dividend Yield  Earnings/Share  52 Week Low  \\\n",
       "49          -251.53        2.528445           -3.72        57.90   \n",
       "346          195.63        4.408186           -0.75        78.09   \n",
       "292          -32.00        1.224740           -2.65        19.52   \n",
       "348           34.00        5.443620            1.66        61.36   \n",
       "205           15.35        2.820356            1.69        35.68   \n",
       "430             NaN        0.000000            2.09        50.71   \n",
       "229           -9.33        2.267060          -19.94        55.48   \n",
       "272           16.01        3.496504            3.12        69.14   \n",
       "219           38.86        1.448984           -0.53        57.86   \n",
       "406           44.93        2.867383           -1.08        82.71   \n",
       "\n",
       "     52 Week High   Market Cap        EBITDA  Price/Sales  Price/Book  \\\n",
       "49         38.140  15066280977  3.265000e+09     3.651366        2.22   \n",
       "346        57.200  53467692395  5.205000e+09     6.044895         NaN   \n",
       "292        10.550  13875005314  2.266000e+09     4.657875         NaN   \n",
       "348        47.140  21988472489  1.851783e+09     2.615956        4.03   \n",
       "205        21.020  12684517721  1.959000e+09     1.128974        3.93   \n",
       "430        36.690  14247199374  0.000000e+00     4.078549        4.35   \n",
       "229        37.250  14016129999 -8.190000e+08     3.780475        1.08   \n",
       "272        35.160  10570861198  2.286000e+09     0.855776        2.04   \n",
       "219        38.181  43356557470  2.910000e+09     2.142422        4.74   \n",
       "406        61.020  96529311126  3.222000e+09     3.229783        2.64   \n",
       "\n",
       "                                           SEC Filings  cases_beta  SPY_beta  \n",
       "49   http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.129761  1.671640  \n",
       "346  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.082103  1.638488  \n",
       "292  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.081550  1.264306  \n",
       "348  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.069308  1.493620  \n",
       "205  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.051908  1.439469  \n",
       "430  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.048289  1.583849  \n",
       "229  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.048166  1.361802  \n",
       "272  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.047111  1.400060  \n",
       "219  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.047069  1.762542  \n",
       "406  http://www.sec.gov/cgi-bin/browse-edgar?action...   -0.043947  1.383478  "
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Worst hit\n",
    "df_merged.sort_values(by=\"cases_beta\").iloc[:10]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Symbol</th>\n",
       "      <th>Name</th>\n",
       "      <th>Sector</th>\n",
       "      <th>Price</th>\n",
       "      <th>Price/Earnings</th>\n",
       "      <th>Dividend Yield</th>\n",
       "      <th>Earnings/Share</th>\n",
       "      <th>52 Week Low</th>\n",
       "      <th>52 Week High</th>\n",
       "      <th>Market Cap</th>\n",
       "      <th>EBITDA</th>\n",
       "      <th>Price/Sales</th>\n",
       "      <th>Price/Book</th>\n",
       "      <th>SEC Filings</th>\n",
       "      <th>cases_beta</th>\n",
       "      <th>SPY_beta</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>480</th>\n",
       "      <td>WMT</td>\n",
       "      <td>Wal-Mart Stores</td>\n",
       "      <td>Consumer Staples</td>\n",
       "      <td>100.02</td>\n",
       "      <td>23.10</td>\n",
       "      <td>1.983471</td>\n",
       "      <td>4.39</td>\n",
       "      <td>109.98</td>\n",
       "      <td>66.8900</td>\n",
       "      <td>304680931618</td>\n",
       "      <td>3.072100e+10</td>\n",
       "      <td>0.820994</td>\n",
       "      <td>3.89</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.021276</td>\n",
       "      <td>0.553764</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>326</th>\n",
       "      <td>NFLX</td>\n",
       "      <td>Netflix Inc.</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>250.10</td>\n",
       "      <td>200.08</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.25</td>\n",
       "      <td>286.81</td>\n",
       "      <td>138.2600</td>\n",
       "      <td>114805404842</td>\n",
       "      <td>8.090280e+08</td>\n",
       "      <td>9.861594</td>\n",
       "      <td>30.80</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.021827</td>\n",
       "      <td>0.693140</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>224</th>\n",
       "      <td>HAS</td>\n",
       "      <td>Hasbro Inc.</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>96.48</td>\n",
       "      <td>20.57</td>\n",
       "      <td>2.230483</td>\n",
       "      <td>4.34</td>\n",
       "      <td>116.20</td>\n",
       "      <td>87.9200</td>\n",
       "      <td>12732072001</td>\n",
       "      <td>1.028425e+09</td>\n",
       "      <td>3.237568</td>\n",
       "      <td>5.82</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.023042</td>\n",
       "      <td>1.103237</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>309</th>\n",
       "      <td>MCHP</td>\n",
       "      <td>Microchip Technology</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>79.90</td>\n",
       "      <td>21.77</td>\n",
       "      <td>1.751297</td>\n",
       "      <td>0.66</td>\n",
       "      <td>99.17</td>\n",
       "      <td>69.7600</td>\n",
       "      <td>19393095636</td>\n",
       "      <td>9.974920e+08</td>\n",
       "      <td>7.447518</td>\n",
       "      <td>5.90</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.023712</td>\n",
       "      <td>1.478947</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>195</th>\n",
       "      <td>FLIR</td>\n",
       "      <td>FLIR Systems</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>46.46</td>\n",
       "      <td>25.53</td>\n",
       "      <td>1.239669</td>\n",
       "      <td>1.21</td>\n",
       "      <td>52.88</td>\n",
       "      <td>33.7500</td>\n",
       "      <td>6706992926</td>\n",
       "      <td>3.752670e+08</td>\n",
       "      <td>5.137961</td>\n",
       "      <td>3.52</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.026065</td>\n",
       "      <td>0.746490</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>151</th>\n",
       "      <td>DLTR</td>\n",
       "      <td>Dollar Tree</td>\n",
       "      <td>Consumer Discretionary</td>\n",
       "      <td>101.58</td>\n",
       "      <td>26.66</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>3.77</td>\n",
       "      <td>116.65</td>\n",
       "      <td>65.6300</td>\n",
       "      <td>25151198417</td>\n",
       "      <td>2.430300e+09</td>\n",
       "      <td>1.609759</td>\n",
       "      <td>4.08</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.027059</td>\n",
       "      <td>0.789291</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>85</th>\n",
       "      <td>COG</td>\n",
       "      <td>Cabot Oil &amp; Gas</td>\n",
       "      <td>Energy</td>\n",
       "      <td>23.01</td>\n",
       "      <td>60.55</td>\n",
       "      <td>1.026958</td>\n",
       "      <td>-0.92</td>\n",
       "      <td>29.57</td>\n",
       "      <td>21.4000</td>\n",
       "      <td>10808821635</td>\n",
       "      <td>4.049510e+08</td>\n",
       "      <td>8.636729</td>\n",
       "      <td>4.21</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.027165</td>\n",
       "      <td>0.819988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>247</th>\n",
       "      <td>INTC</td>\n",
       "      <td>Intel Corp.</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>42.75</td>\n",
       "      <td>12.32</td>\n",
       "      <td>2.654867</td>\n",
       "      <td>1.98</td>\n",
       "      <td>50.85</td>\n",
       "      <td>33.2300</td>\n",
       "      <td>211536000000</td>\n",
       "      <td>2.624700e+10</td>\n",
       "      <td>3.348876</td>\n",
       "      <td>3.34</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.029219</td>\n",
       "      <td>1.210357</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>271</th>\n",
       "      <td>KLAC</td>\n",
       "      <td>KLA-Tencor Corp.</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>98.54</td>\n",
       "      <td>16.59</td>\n",
       "      <td>2.298850</td>\n",
       "      <td>5.88</td>\n",
       "      <td>121.65</td>\n",
       "      <td>86.3300</td>\n",
       "      <td>16078622033</td>\n",
       "      <td>1.506642e+09</td>\n",
       "      <td>4.339586</td>\n",
       "      <td>12.93</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.029483</td>\n",
       "      <td>1.512150</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>116</th>\n",
       "      <td>CTXS</td>\n",
       "      <td>Citrix Systems</td>\n",
       "      <td>Information Technology</td>\n",
       "      <td>84.53</td>\n",
       "      <td>20.37</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-0.24</td>\n",
       "      <td>95.00</td>\n",
       "      <td>73.3346</td>\n",
       "      <td>13199167493</td>\n",
       "      <td>8.102680e+08</td>\n",
       "      <td>4.753871</td>\n",
       "      <td>6.73</td>\n",
       "      <td>http://www.sec.gov/cgi-bin/browse-edgar?action...</td>\n",
       "      <td>0.035770</td>\n",
       "      <td>0.606636</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    Symbol                  Name                  Sector   Price  \\\n",
       "480    WMT       Wal-Mart Stores        Consumer Staples  100.02   \n",
       "326   NFLX          Netflix Inc.  Information Technology  250.10   \n",
       "224    HAS           Hasbro Inc.  Consumer Discretionary   96.48   \n",
       "309   MCHP  Microchip Technology  Information Technology   79.90   \n",
       "195   FLIR          FLIR Systems  Information Technology   46.46   \n",
       "151   DLTR           Dollar Tree  Consumer Discretionary  101.58   \n",
       "85     COG       Cabot Oil & Gas                  Energy   23.01   \n",
       "247   INTC           Intel Corp.  Information Technology   42.75   \n",
       "271   KLAC      KLA-Tencor Corp.  Information Technology   98.54   \n",
       "116   CTXS        Citrix Systems  Information Technology   84.53   \n",
       "\n",
       "     Price/Earnings  Dividend Yield  Earnings/Share  52 Week Low  \\\n",
       "480           23.10        1.983471            4.39       109.98   \n",
       "326          200.08        0.000000            1.25       286.81   \n",
       "224           20.57        2.230483            4.34       116.20   \n",
       "309           21.77        1.751297            0.66        99.17   \n",
       "195           25.53        1.239669            1.21        52.88   \n",
       "151           26.66        0.000000            3.77       116.65   \n",
       "85            60.55        1.026958           -0.92        29.57   \n",
       "247           12.32        2.654867            1.98        50.85   \n",
       "271           16.59        2.298850            5.88       121.65   \n",
       "116           20.37        0.000000           -0.24        95.00   \n",
       "\n",
       "     52 Week High    Market Cap        EBITDA  Price/Sales  Price/Book  \\\n",
       "480       66.8900  304680931618  3.072100e+10     0.820994        3.89   \n",
       "326      138.2600  114805404842  8.090280e+08     9.861594       30.80   \n",
       "224       87.9200   12732072001  1.028425e+09     3.237568        5.82   \n",
       "309       69.7600   19393095636  9.974920e+08     7.447518        5.90   \n",
       "195       33.7500    6706992926  3.752670e+08     5.137961        3.52   \n",
       "151       65.6300   25151198417  2.430300e+09     1.609759        4.08   \n",
       "85        21.4000   10808821635  4.049510e+08     8.636729        4.21   \n",
       "247       33.2300  211536000000  2.624700e+10     3.348876        3.34   \n",
       "271       86.3300   16078622033  1.506642e+09     4.339586       12.93   \n",
       "116       73.3346   13199167493  8.102680e+08     4.753871        6.73   \n",
       "\n",
       "                                           SEC Filings  cases_beta  SPY_beta  \n",
       "480  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.021276  0.553764  \n",
       "326  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.021827  0.693140  \n",
       "224  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.023042  1.103237  \n",
       "309  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.023712  1.478947  \n",
       "195  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.026065  0.746490  \n",
       "151  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.027059  0.789291  \n",
       "85   http://www.sec.gov/cgi-bin/browse-edgar?action...    0.027165  0.819988  \n",
       "247  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.029219  1.210357  \n",
       "271  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.029483  1.512150  \n",
       "116  http://www.sec.gov/cgi-bin/browse-edgar?action...    0.035770  0.606636  "
      ]
     },
     "execution_count": 44,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Biggest beneficiaries\n",
    "df_merged.sort_values(by=\"cases_beta\").iloc[-10:]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We remove left-tail outliers so that the visualisations are smoother\n",
    "df_merged = df_merged[df_merged.cases_beta > df_merged.cases_beta.quantile(0.01)].sort_values(by=\"cases_beta\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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cWuZY85/Y2cB/d7ludRvpHyJiF3Av8OuZ+Z3hl1uPp1BW3A+cGlWyD2j309IPAJdHxLZmFMblwAOZ+eeZ+ebMnAF+Cfh2tfDuQt/9AxARH2fli/k7wy91pLq5nURr310N/H2u/GXufuCaZhTG+cCFwDdHVPeo9N0/zem2r7Dyx/N/HFXB5Yz7r6iT8GDlnNtB4AjwNWB70z4L/FXLctez8semo8BvtNnODJtzFErf/cPKUVcCTwCPNo8Pjvs9DbBvrgS+zcpoi5uatj8E3tNM/zjwN02ffBN4S8u6NzXrPckmGZkzqP4Bfh94ueUz8yhwzrjfz6Q9vJRekoryFIokFWWAS1JRBrgkFWWAS1JRBrgkFWWAS1JRBrgkFfW/XmWmag1OkbgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df_merged.cases_beta.hist(bins=50);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot top 10 rolling betas\n",
    "fig, ax = plt.subplots(figsize=(12,10))\n",
    "top_10_tickers = df_merged.sort_values(by=\"cases_beta\").Symbol.iloc[-10:].tolist()\n",
    "\n",
    "res = []\n",
    "period = 42 # 2months\n",
    "\n",
    "for t in top_10_tickers:\n",
    "    rolling_beta = (rets[t].rolling(period).cov(rets[\"cases\"]) / rets[\"cases\"].rolling(period).var()).dropna()\n",
    "    res.append(rolling_beta.rename(t))\n",
    "rolling_betas_top = pd.concat(res, axis=1)\n",
    "rolling_betas_top.plot(ax=ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot bottom 10 rolling betas\n",
    "fig, ax = plt.subplots(figsize=(12,10))\n",
    "bottom_10_tickers = df_merged.sort_values(by=\"cases_beta\").Symbol.iloc[:10].tolist()\n",
    "\n",
    "res = []\n",
    "period = 42\n",
    "\n",
    "for t in bottom_10_tickers:\n",
    "    rolling_beta = (rets[t].rolling(period).cov(rets[\"cases\"]) / rets[\"cases\"].rolling(period).var()).dropna()\n",
    "    res.append(rolling_beta.rename(t))\n",
    "rolling_betas_bottom = pd.concat(res, axis=1)\n",
    "rolling_betas_bottom.plot(ax=ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.01 s, sys: 15.1 ms, total: 2.02 s\n",
      "Wall time: 2.1 s\n"
     ]
    },
    {
     "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",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>TPR</th>\n",
       "      <th>HES</th>\n",
       "      <th>KSS</th>\n",
       "      <th>HAL</th>\n",
       "      <th>SLB</th>\n",
       "      <th>PXD</th>\n",
       "      <th>DVN</th>\n",
       "      <th>EOG</th>\n",
       "      <th>CMA</th>\n",
       "      <th>COP</th>\n",
       "      <th>...</th>\n",
       "      <th>WMT</th>\n",
       "      <th>NFLX</th>\n",
       "      <th>HAS</th>\n",
       "      <th>MCHP</th>\n",
       "      <th>FLIR</th>\n",
       "      <th>DLTR</th>\n",
       "      <th>COG</th>\n",
       "      <th>INTC</th>\n",
       "      <th>KLAC</th>\n",
       "      <th>CTXS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2020-04-29</th>\n",
       "      <td>-0.141542</td>\n",
       "      <td>-0.147661</td>\n",
       "      <td>-0.118860</td>\n",
       "      <td>-0.151279</td>\n",
       "      <td>-0.127507</td>\n",
       "      <td>-0.133896</td>\n",
       "      <td>-0.144089</td>\n",
       "      <td>-0.119827</td>\n",
       "      <td>-0.113624</td>\n",
       "      <td>-0.133211</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000157</td>\n",
       "      <td>-0.004685</td>\n",
       "      <td>-0.015986</td>\n",
       "      <td>-0.038913</td>\n",
       "      <td>-0.007183</td>\n",
       "      <td>0.003676</td>\n",
       "      <td>-0.020941</td>\n",
       "      <td>-0.026791</td>\n",
       "      <td>-0.036798</td>\n",
       "      <td>0.005927</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-04-30</th>\n",
       "      <td>-0.136429</td>\n",
       "      <td>-0.149648</td>\n",
       "      <td>-0.115174</td>\n",
       "      <td>-0.151404</td>\n",
       "      <td>-0.126885</td>\n",
       "      <td>-0.135944</td>\n",
       "      <td>-0.144759</td>\n",
       "      <td>-0.120457</td>\n",
       "      <td>-0.114509</td>\n",
       "      <td>-0.135368</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.004109</td>\n",
       "      <td>-0.007841</td>\n",
       "      <td>-0.018013</td>\n",
       "      <td>-0.039732</td>\n",
       "      <td>-0.006118</td>\n",
       "      <td>0.003301</td>\n",
       "      <td>-0.025394</td>\n",
       "      <td>-0.028327</td>\n",
       "      <td>-0.034919</td>\n",
       "      <td>0.001030</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-05-01</th>\n",
       "      <td>-0.136229</td>\n",
       "      <td>-0.142607</td>\n",
       "      <td>-0.112129</td>\n",
       "      <td>-0.146815</td>\n",
       "      <td>-0.122646</td>\n",
       "      <td>-0.130923</td>\n",
       "      <td>-0.137546</td>\n",
       "      <td>-0.115720</td>\n",
       "      <td>-0.111297</td>\n",
       "      <td>-0.130121</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.005028</td>\n",
       "      <td>-0.007532</td>\n",
       "      <td>-0.015888</td>\n",
       "      <td>-0.036249</td>\n",
       "      <td>-0.006147</td>\n",
       "      <td>0.004339</td>\n",
       "      <td>-0.020762</td>\n",
       "      <td>-0.026149</td>\n",
       "      <td>-0.030154</td>\n",
       "      <td>0.001905</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-05-04</th>\n",
       "      <td>-0.134264</td>\n",
       "      <td>-0.143388</td>\n",
       "      <td>-0.111393</td>\n",
       "      <td>-0.146807</td>\n",
       "      <td>-0.123393</td>\n",
       "      <td>-0.130120</td>\n",
       "      <td>-0.137593</td>\n",
       "      <td>-0.117197</td>\n",
       "      <td>-0.109616</td>\n",
       "      <td>-0.130529</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.005293</td>\n",
       "      <td>-0.008875</td>\n",
       "      <td>-0.016116</td>\n",
       "      <td>-0.036372</td>\n",
       "      <td>-0.004748</td>\n",
       "      <td>0.004236</td>\n",
       "      <td>-0.020259</td>\n",
       "      <td>-0.026419</td>\n",
       "      <td>-0.030508</td>\n",
       "      <td>0.000929</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-05-05</th>\n",
       "      <td>-0.131100</td>\n",
       "      <td>-0.140488</td>\n",
       "      <td>-0.107637</td>\n",
       "      <td>-0.143489</td>\n",
       "      <td>-0.121543</td>\n",
       "      <td>-0.127640</td>\n",
       "      <td>-0.134782</td>\n",
       "      <td>-0.114522</td>\n",
       "      <td>-0.105738</td>\n",
       "      <td>-0.129052</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.005244</td>\n",
       "      <td>-0.007010</td>\n",
       "      <td>-0.013009</td>\n",
       "      <td>-0.035289</td>\n",
       "      <td>-0.003442</td>\n",
       "      <td>0.005626</td>\n",
       "      <td>-0.019598</td>\n",
       "      <td>-0.025701</td>\n",
       "      <td>-0.030529</td>\n",
       "      <td>-0.000674</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>5 rows × 432 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "                 TPR       HES       KSS       HAL       SLB       PXD  \\\n",
       "2020-04-29 -0.141542 -0.147661 -0.118860 -0.151279 -0.127507 -0.133896   \n",
       "2020-04-30 -0.136429 -0.149648 -0.115174 -0.151404 -0.126885 -0.135944   \n",
       "2020-05-01 -0.136229 -0.142607 -0.112129 -0.146815 -0.122646 -0.130923   \n",
       "2020-05-04 -0.134264 -0.143388 -0.111393 -0.146807 -0.123393 -0.130120   \n",
       "2020-05-05 -0.131100 -0.140488 -0.107637 -0.143489 -0.121543 -0.127640   \n",
       "\n",
       "                 DVN       EOG       CMA       COP  ...       WMT      NFLX  \\\n",
       "2020-04-29 -0.144089 -0.119827 -0.113624 -0.133211  ...  0.000157 -0.004685   \n",
       "2020-04-30 -0.144759 -0.120457 -0.114509 -0.135368  ... -0.004109 -0.007841   \n",
       "2020-05-01 -0.137546 -0.115720 -0.111297 -0.130121  ... -0.005028 -0.007532   \n",
       "2020-05-04 -0.137593 -0.117197 -0.109616 -0.130529  ... -0.005293 -0.008875   \n",
       "2020-05-05 -0.134782 -0.114522 -0.105738 -0.129052  ... -0.005244 -0.007010   \n",
       "\n",
       "                 HAS      MCHP      FLIR      DLTR       COG      INTC  \\\n",
       "2020-04-29 -0.015986 -0.038913 -0.007183  0.003676 -0.020941 -0.026791   \n",
       "2020-04-30 -0.018013 -0.039732 -0.006118  0.003301 -0.025394 -0.028327   \n",
       "2020-05-01 -0.015888 -0.036249 -0.006147  0.004339 -0.020762 -0.026149   \n",
       "2020-05-04 -0.016116 -0.036372 -0.004748  0.004236 -0.020259 -0.026419   \n",
       "2020-05-05 -0.013009 -0.035289 -0.003442  0.005626 -0.019598 -0.025701   \n",
       "\n",
       "                KLAC      CTXS  \n",
       "2020-04-29 -0.036798  0.005927  \n",
       "2020-04-30 -0.034919  0.001030  \n",
       "2020-05-01 -0.030154  0.001905  \n",
       "2020-05-04 -0.030508  0.000929  \n",
       "2020-05-05 -0.030529 -0.000674  \n",
       "\n",
       "[5 rows x 432 columns]"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "tickers = df_merged.Symbol.tolist()\n",
    "\n",
    "res = []\n",
    "period = 42\n",
    "\n",
    "for t in tickers:\n",
    "    rolling_beta = (rets[t].rolling(period).cov(rets[\"cases\"]) / rets[\"cases\"].rolling(period).var()).dropna()\n",
    "    res.append(rolling_beta.rename(t))\n",
    "rolling_betas = pd.concat(res, axis=1)\n",
    "rolling_betas.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(9,6))\n",
    "rolling_betas_top.mean(axis=1).plot(ax=ax, color=\"blue\", label=\"Lowest beta\")\n",
    "rolling_betas_bottom.mean(axis=1).plot(ax=ax, color=\"darkred\", label=\"Highest beta\")\n",
    "ax.legend();\n",
    "ax.set_ylabel(\"Rolling 2mo beta\")\n",
    "plt.savefig(\"rolling_beta.png\", dpi=400)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Visualisation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 648x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# COVID-19 and the SPY\n",
    "dual_plot(joined.SPY, joined.cases.diff(7), \"SPY price\", \"Weekly new covid cases\")\n",
    "# plt.savefig(\"spy_covid.png\", dpi=400)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.plotly.v1+json": {
       "config": {
        "plotlyServerURL": "https://plot.ly"
       },
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       "                            \n",
       "var gd = document.getElementById('8df4459a-1bb7-48ba-be6a-715f15886b6c');\n",
       "var x = new MutationObserver(function (mutations, observer) {{\n",
       "        var display = window.getComputedStyle(gd).display;\n",
       "        if (!display || display === 'none') {{\n",
       "            console.log([gd, 'removed!']);\n",
       "            Plotly.purge(gd);\n",
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       "var notebookContainer = gd.closest('#notebook-container');\n",
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import plotly.express as px\n",
    "df_merged[\"S&P500\"] = \"S&P500\" # dummy root node\n",
    "df_merged = df_merged.rename({\"cases_beta\": \"COVID beta\"}, axis=1)\n",
    "fig = px.treemap(df_merged, path=['S&P500', 'Sector', 'Symbol'], values='Market Cap',\n",
    "                  color='COVID beta', hover_data=['Price/Earnings', 'Price/Sales', 'Price/Book'],\n",
    "                  color_continuous_scale='RdBu',\n",
    "                  color_continuous_midpoint=np.average(df_merged['COVID beta'], weights=df_merged['Market Cap'])\n",
    "                )\n",
    "fig.update_layout(margin=dict(l=0, r=0, t=20, b=0)),\n",
    "fig.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Export to HTML\n",
    "fig.write_html(\"heatmap.html\", include_plotlyjs=\"cdn\", full_html=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'https://plotly.com/~robertmartin8/5/'"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Hosting on Chart Studio\n",
    "# import chart_studio\n",
    "# import chart_studio.plotly as py\n",
    "# # chart_studio.tools.set_credentials_file(username=\"\", api_key=\"\")\n",
    "# chart_studio.tools.set_config_file(sharing='public')\n",
    "# py.plot(fig, filename=\"COVID_beta\", auto_open=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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