Basic Dataset-All_Stocks_Image_Model.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [],
   "source": [
    "import tensorflow as tf\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import sklearn as sk\n",
    "from sklearn import preprocessing\n",
    "from sklearn import model_selection\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "import random\n",
    "from tensorflow.keras.utils import to_categorical\n",
    "from tensorflow.keras.models import Sequential\n",
    "from tensorflow.keras.layers import Dense\n",
    "from tensorflow.keras.layers import LSTM\n",
    "from tensorflow.keras.layers import SimpleRNN\n",
    "from sklearn.preprocessing import MinMaxScaler\n",
    "from sklearn.metrics import mean_squared_error\n",
    "from tensorflow.keras.callbacks import EarlyStopping\n",
    "from tensorflow.keras.regularizers import l2\n",
    "from tensorflow.keras.models import load_model\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.read_csv('data.csv', index_col = 0)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = data.assign(Ret1M  = data.Close.groupby(data.Tick).pct_change(1))\n",
    "data = data.assign(Ret3M  = data.Close.groupby(data.Tick).pct_change(3))\n",
    "data = data.assign(Ret6M  = data.Close.groupby(data.Tick).pct_change(6))\n",
    "data = data.assign(Ret12M = data.Close.groupby(data.Tick).pct_change(12))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = data.assign(MOM3M  = data.Close.groupby(data.Tick).shift(1)/data.Close.groupby(data.Tick).shift(4)  - 1)\n",
    "data = data.assign(MOM6M  = data.Close.groupby(data.Tick).shift(1)/data.Close.groupby(data.Tick).shift(6)  - 1)\n",
    "data = data.assign(MOM12M = data.Close.groupby(data.Tick).shift(1)/data.Close.groupby(data.Tick).shift(12) - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Changing \"Date\" to datetime format\n",
    "data['Date'] = pd.to_datetime(data['Date'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(axis=0, how='any',inplace=True) # Drop first 12 rows since we dont' have some factors (e.g. ret12) # Also, we might now need data from 1999 to predict current movements"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Sets index of dataframe to the stock's tick for sorting purposes\n",
    "data.set_index(\"Tick\",inplace=True)\n",
    "\n",
    "#Extracts data for individual stock\n",
    "def get_stock_data(data,stock):\n",
    "    return data.loc[stock]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standardising the data - Cross sectional Robust"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "numeric_columns = list(data.columns.values[data.dtypes.values == float]) # Keeeping only numeric columns\n",
    "\n",
    "\n",
    "from sklearn.preprocessing import  RobustScaler,MinMaxScaler\n",
    "scaler =  RobustScaler() #Defyning the scalar object\n",
    "\n",
    "def get_cross_section(data,date): # Used\n",
    "    return data[data.Date == date]\n",
    "\n",
    "\n",
    "standardized_data = pd.DataFrame(columns = list(data.columns.values).append(\"Quintile\"))\n",
    "\n",
    "for date in set(data.Date.values):\n",
    "    CS_numeric_date = get_cross_section(data,date)[numeric_columns] # Extracting numeric columns from the cross section\n",
    "    transformed = scaler.fit_transform(CS_numeric_date) # cross-sectional standardization\n",
    "    scaled_features_df = pd.DataFrame(transformed, index=CS_numeric_date.index, columns=CS_numeric_date.columns) # transforming into dataframe\n",
    "    scaled_features_df.insert(0, \"Date\", date) # Adding back the corresponding date\n",
    "    \n",
    "    \n",
    "    ################ Calculating quintiles ##################\n",
    "    q_20 = scaled_features_df[\"Ret1M\"].quantile(q=0.2, interpolation='linear')\n",
    "    q_40 = scaled_features_df[\"Ret1M\"].quantile(q=0.4, interpolation='linear')\n",
    "    q_60 = scaled_features_df[\"Ret1M\"].quantile(q=0.6, interpolation='linear')\n",
    "    q_80 = scaled_features_df[\"Ret1M\"].quantile(q=0.8, interpolation='linear')\n",
    "    \n",
    "    # Encoding: 4 is in 1st quantile, 3 if in second quantile ...\n",
    "    idx1 = np.where((scaled_features_df['Ret1M']<= q_20))\n",
    "    idx2 = np.where((scaled_features_df['Ret1M']> q_20) & (scaled_features_df['Ret1M']<= q_40))\n",
    "    idx3 = np.where((scaled_features_df['Ret1M']> q_40) & (scaled_features_df['Ret1M']<= q_60))\n",
    "    idx4 = np.where((scaled_features_df['Ret1M']> q_60) & (scaled_features_df['Ret1M']<= q_80))\n",
    "    idx5 = np.where((scaled_features_df['Ret1M']> q_80))\n",
    "    \n",
    "    scaled_features_df[\"Quintile\"] = 999 # Initializing value\n",
    "    scaled_features_df[\"Quintile\"].iloc[idx1] = 0\n",
    "    scaled_features_df[\"Quintile\"].iloc[idx2] = 1\n",
    "    scaled_features_df[\"Quintile\"].iloc[idx3] = 2\n",
    "    scaled_features_df[\"Quintile\"].iloc[idx4] = 3\n",
    "    scaled_features_df[\"Quintile\"].iloc[idx5] = 4\n",
    "    \n",
    "    \n",
    "    standardized_data = pd.concat([standardized_data, scaled_features_df]) # Adding the data from this date to the whole standardized database\n",
    "    \n",
    "    \n",
    "standardized_data.sort_values(by=['Date'],inplace = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Shifting Quintiles to make predictions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "%%capture\n",
    "standardized_data_with_target = pd.DataFrame(columns = list(standardized_data.columns.values).append(\"Target_Shifted_Quintile_1\"))\n",
    "\n",
    "for tick in set(standardized_data.index.values):\n",
    "    TS_tick = standardized_data[standardized_data.index == tick]\n",
    "    \n",
    "    \n",
    "    TS_tick[\"Target_Shifted_Quintile_1\"] = TS_tick[[\"Quintile\"]].shift(-1)\n",
    "    TS_tick[\"Target_Shifted_Quintile_1\"][-1] = 999 # Before converting to int we have to get rid of the nan (last value of the shifted)\n",
    "    TS_tick[\"Target_Shifted_Quintile_1\"] = TS_tick[\"Target_Shifted_Quintile_1\"].astype(int)\n",
    "    \n",
    "    standardized_data_with_target = pd.concat([standardized_data_with_target, TS_tick]) # Adding the data from this date to the whole standardized database\n",
    "    \n",
    "    \n",
    "standardized_data_with_target[\"Temp\"] = standardized_data_with_target.index\n",
    "standardized_data_with_target.sort_values(by=['Date', 'Temp'], inplace=True)\n",
    "standardized_data_with_target.sort_values(by=['Date', 'Temp'], inplace=True)\n",
    "standardized_data_with_target.drop(['Temp'],axis='columns', inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Drop the last timestep - We don't have the target for it"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [],
   "source": [
    "standardized_data_with_target.reset_index(level=0, inplace=True)\n",
    "\n",
    "standardized_data_with_target.drop(standardized_data_with_target[standardized_data_with_target.Target_Shifted_Quintile_1 == 999].index,axis='rows',inplace = True)\n",
    "\n",
    "standardized_data_with_target.set_index(\"Tick\",inplace = True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Working with all stocks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Separates data into target (Closing Price) and predictors (excluding date)\n",
    "def split_stock_data(stock_data):\n",
    "    y = stock_data['Target_Shifted_Quintile_1']\n",
    "    X = stock_data.drop(['Target_Shifted_Quintile_1','Date'],axis='columns', inplace=False) #This way we don't remove the data information from the dataset\n",
    "    return X,y"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "def create_dataset(X, y, time_steps=1):\n",
    "    Xs, ys = [], []\n",
    "    for i in range(len(X) - time_steps):\n",
    "        v = X.iloc[i:(i + time_steps)].values\n",
    "        Xs.append(v)\n",
    "        ys.append(y.iloc[i + time_steps])\n",
    "    return np.array(Xs), np.array(ys)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_from_2015 = standardized_data_with_target.reset_index().set_index(\"Date\").sort_index().loc[\"2015-01-01\":]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_from_2015 = data_from_2015.reset_index().set_index(\"Tick\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "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>Date</th>\n",
       "      <th>Close</th>\n",
       "      <th>Mkt_Cap</th>\n",
       "      <th>P2B</th>\n",
       "      <th>Vol_1M</th>\n",
       "      <th>Div_yield</th>\n",
       "      <th>PE_ratio</th>\n",
       "      <th>RSI_1M</th>\n",
       "      <th>D2E</th>\n",
       "      <th>Prof_growth</th>\n",
       "      <th>...</th>\n",
       "      <th>Prof_Marg</th>\n",
       "      <th>Ret1M</th>\n",
       "      <th>Ret3M</th>\n",
       "      <th>Ret6M</th>\n",
       "      <th>Ret12M</th>\n",
       "      <th>MOM3M</th>\n",
       "      <th>MOM6M</th>\n",
       "      <th>MOM12M</th>\n",
       "      <th>Quintile</th>\n",
       "      <th>Target_Shifted_Quintile_1</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Tick</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>AA</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>-0.428516</td>\n",
       "      <td>0.070136</td>\n",
       "      <td>-0.552166</td>\n",
       "      <td>0.800602</td>\n",
       "      <td>-0.543280</td>\n",
       "      <td>-0.944318</td>\n",
       "      <td>-0.477306</td>\n",
       "      <td>-0.157539</td>\n",
       "      <td>3.687654</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.544565</td>\n",
       "      <td>-1.246950</td>\n",
       "      <td>-0.426640</td>\n",
       "      <td>0.223899</td>\n",
       "      <td>1.562639</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>0.640745</td>\n",
       "      <td>2.209447</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>AAPL</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>1.102532</td>\n",
       "      <td>18.628543</td>\n",
       "      <td>0.648831</td>\n",
       "      <td>0.152908</td>\n",
       "      <td>-0.135005</td>\n",
       "      <td>-0.584095</td>\n",
       "      <td>-0.348194</td>\n",
       "      <td>-0.550201</td>\n",
       "      <td>2.104853</td>\n",
       "      <td>...</td>\n",
       "      <td>1.889894</td>\n",
       "      <td>-0.866783</td>\n",
       "      <td>0.169313</td>\n",
       "      <td>0.615592</td>\n",
       "      <td>1.100384</td>\n",
       "      <td>0.476323</td>\n",
       "      <td>0.961051</td>\n",
       "      <td>1.518540</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABT</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>-0.234745</td>\n",
       "      <td>1.511383</td>\n",
       "      <td>0.019476</td>\n",
       "      <td>-0.256159</td>\n",
       "      <td>0.029115</td>\n",
       "      <td>2.003083</td>\n",
       "      <td>0.093190</td>\n",
       "      <td>-0.463847</td>\n",
       "      <td>0.502908</td>\n",
       "      <td>...</td>\n",
       "      <td>1.073726</td>\n",
       "      <td>0.146239</td>\n",
       "      <td>0.090591</td>\n",
       "      <td>0.294680</td>\n",
       "      <td>0.323748</td>\n",
       "      <td>0.118303</td>\n",
       "      <td>0.278203</td>\n",
       "      <td>0.322235</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ABX</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>-0.940224</td>\n",
       "      <td>-0.127046</td>\n",
       "      <td>-0.574322</td>\n",
       "      <td>2.691019</td>\n",
       "      <td>-0.047418</td>\n",
       "      <td>0.358123</td>\n",
       "      <td>-1.103144</td>\n",
       "      <td>0.384708</td>\n",
       "      <td>-2.640240</td>\n",
       "      <td>...</td>\n",
       "      <td>-13.254615</td>\n",
       "      <td>-2.008800</td>\n",
       "      <td>-2.209116</td>\n",
       "      <td>-1.705135</td>\n",
       "      <td>-1.825070</td>\n",
       "      <td>-1.851765</td>\n",
       "      <td>-1.466801</td>\n",
       "      <td>-1.617730</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ADBE</th>\n",
       "      <td>2015-01-02</td>\n",
       "      <td>0.334786</td>\n",
       "      <td>0.570428</td>\n",
       "      <td>0.694360</td>\n",
       "      <td>0.805313</td>\n",
       "      <td>-1.145153</td>\n",
       "      <td>17.705383</td>\n",
       "      <td>-0.123966</td>\n",
       "      <td>-0.643046</td>\n",
       "      <td>-0.148805</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.057491</td>\n",
       "      <td>-0.371865</td>\n",
       "      <td>-0.035755</td>\n",
       "      <td>-0.110994</td>\n",
       "      <td>0.493219</td>\n",
       "      <td>-0.029496</td>\n",
       "      <td>-0.014611</td>\n",
       "      <td>0.663016</td>\n",
       "      <td>1</td>\n",
       "      <td>2</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>X</th>\n",
       "      <td>2018-04-03</td>\n",
       "      <td>-0.408751</td>\n",
       "      <td>-0.345331</td>\n",
       "      <td>-0.301310</td>\n",
       "      <td>3.176146</td>\n",
       "      <td>-0.738658</td>\n",
       "      <td>-0.149639</td>\n",
       "      <td>-0.125191</td>\n",
       "      <td>-0.000540</td>\n",
       "      <td>3.851464</td>\n",
       "      <td>...</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>-3.940694</td>\n",
       "      <td>-0.013724</td>\n",
       "      <td>1.902593</td>\n",
       "      <td>0.017530</td>\n",
       "      <td>4.421051</td>\n",
       "      <td>5.039887</td>\n",
       "      <td>1.075508</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XEL</th>\n",
       "      <td>2018-04-03</td>\n",
       "      <td>-0.253240</td>\n",
       "      <td>0.095426</td>\n",
       "      <td>-0.259234</td>\n",
       "      <td>-0.788092</td>\n",
       "      <td>0.600131</td>\n",
       "      <td>-0.006735</td>\n",
       "      <td>0.728649</td>\n",
       "      <td>0.677399</td>\n",
       "      <td>-0.248177</td>\n",
       "      <td>...</td>\n",
       "      <td>0.091478</td>\n",
       "      <td>0.844072</td>\n",
       "      <td>0.074004</td>\n",
       "      <td>-0.255625</td>\n",
       "      <td>-0.031708</td>\n",
       "      <td>-0.981112</td>\n",
       "      <td>-0.631326</td>\n",
       "      <td>-0.226223</td>\n",
       "      <td>4</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XOM</th>\n",
       "      <td>2018-04-03</td>\n",
       "      <td>0.201403</td>\n",
       "      <td>7.833939</td>\n",
       "      <td>-0.342417</td>\n",
       "      <td>-0.253567</td>\n",
       "      <td>1.040989</td>\n",
       "      <td>0.139721</td>\n",
       "      <td>-0.143744</td>\n",
       "      <td>-0.716459</td>\n",
       "      <td>9.771996</td>\n",
       "      <td>...</td>\n",
       "      <td>0.408530</td>\n",
       "      <td>0.018250</td>\n",
       "      <td>-0.475430</td>\n",
       "      <td>-0.453851</td>\n",
       "      <td>-0.371920</td>\n",
       "      <td>-0.533308</td>\n",
       "      <td>-0.566544</td>\n",
       "      <td>-0.415228</td>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XRAY</th>\n",
       "      <td>2018-04-03</td>\n",
       "      <td>-0.181430</td>\n",
       "      <td>-0.209376</td>\n",
       "      <td>-0.337979</td>\n",
       "      <td>-0.123359</td>\n",
       "      <td>-0.673246</td>\n",
       "      <td>0.259237</td>\n",
       "      <td>-1.847492</td>\n",
       "      <td>-0.680403</td>\n",
       "      <td>0.138095</td>\n",
       "      <td>...</td>\n",
       "      <td>-3.512611</td>\n",
       "      <td>-1.567845</td>\n",
       "      <td>-1.684309</td>\n",
       "      <td>-0.638788</td>\n",
       "      <td>-0.756008</td>\n",
       "      <td>-1.009421</td>\n",
       "      <td>-0.163832</td>\n",
       "      <td>-0.528713</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>XRX</th>\n",
       "      <td>2018-04-03</td>\n",
       "      <td>-0.516695</td>\n",
       "      <td>-0.320561</td>\n",
       "      <td>-0.436738</td>\n",
       "      <td>0.438368</td>\n",
       "      <td>0.777179</td>\n",
       "      <td>-0.941878</td>\n",
       "      <td>-0.697485</td>\n",
       "      <td>0.225080</td>\n",
       "      <td>-0.439910</td>\n",
       "      <td>...</td>\n",
       "      <td>-0.651133</td>\n",
       "      <td>-1.380399</td>\n",
       "      <td>0.119442</td>\n",
       "      <td>-0.927995</td>\n",
       "      <td>-0.212615</td>\n",
       "      <td>0.406053</td>\n",
       "      <td>-0.621297</td>\n",
       "      <td>0.047638</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>8360 rows × 22 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "           Date     Close    Mkt_Cap       P2B    Vol_1M  Div_yield  \\\n",
       "Tick                                                                  \n",
       "AA   2015-01-02 -0.428516   0.070136 -0.552166  0.800602  -0.543280   \n",
       "AAPL 2015-01-02  1.102532  18.628543  0.648831  0.152908  -0.135005   \n",
       "ABT  2015-01-02 -0.234745   1.511383  0.019476 -0.256159   0.029115   \n",
       "ABX  2015-01-02 -0.940224  -0.127046 -0.574322  2.691019  -0.047418   \n",
       "ADBE 2015-01-02  0.334786   0.570428  0.694360  0.805313  -1.145153   \n",
       "...         ...       ...        ...       ...       ...        ...   \n",
       "X    2018-04-03 -0.408751  -0.345331 -0.301310  3.176146  -0.738658   \n",
       "XEL  2018-04-03 -0.253240   0.095426 -0.259234 -0.788092   0.600131   \n",
       "XOM  2018-04-03  0.201403   7.833939 -0.342417 -0.253567   1.040989   \n",
       "XRAY 2018-04-03 -0.181430  -0.209376 -0.337979 -0.123359  -0.673246   \n",
       "XRX  2018-04-03 -0.516695  -0.320561 -0.436738  0.438368   0.777179   \n",
       "\n",
       "       PE_ratio    RSI_1M       D2E  Prof_growth  ...  Prof_Marg     Ret1M  \\\n",
       "Tick                                              ...                        \n",
       "AA    -0.944318 -0.477306 -0.157539     3.687654  ...  -0.544565 -1.246950   \n",
       "AAPL  -0.584095 -0.348194 -0.550201     2.104853  ...   1.889894 -0.866783   \n",
       "ABT    2.003083  0.093190 -0.463847     0.502908  ...   1.073726  0.146239   \n",
       "ABX    0.358123 -1.103144  0.384708    -2.640240  ... -13.254615 -2.008800   \n",
       "ADBE  17.705383 -0.123966 -0.643046    -0.148805  ...  -0.057491 -0.371865   \n",
       "...         ...       ...       ...          ...  ...        ...       ...   \n",
       "X     -0.149639 -0.125191 -0.000540     3.851464  ...   0.000000 -3.940694   \n",
       "XEL   -0.006735  0.728649  0.677399    -0.248177  ...   0.091478  0.844072   \n",
       "XOM    0.139721 -0.143744 -0.716459     9.771996  ...   0.408530  0.018250   \n",
       "XRAY   0.259237 -1.847492 -0.680403     0.138095  ...  -3.512611 -1.567845   \n",
       "XRX   -0.941878 -0.697485  0.225080    -0.439910  ...  -0.651133 -1.380399   \n",
       "\n",
       "         Ret3M     Ret6M    Ret12M     MOM3M     MOM6M    MOM12M  Quintile  \\\n",
       "Tick                                                                         \n",
       "AA   -0.426640  0.223899  1.562639  0.000000  0.640745  2.209447         0   \n",
       "AAPL  0.169313  0.615592  1.100384  0.476323  0.961051  1.518540         0   \n",
       "ABT   0.090591  0.294680  0.323748  0.118303  0.278203  0.322235         3   \n",
       "ABX  -2.209116 -1.705135 -1.825070 -1.851765 -1.466801 -1.617730         0   \n",
       "ADBE -0.035755 -0.110994  0.493219 -0.029496 -0.014611  0.663016         1   \n",
       "...        ...       ...       ...       ...       ...       ...       ...   \n",
       "X    -0.013724  1.902593  0.017530  4.421051  5.039887  1.075508         0   \n",
       "XEL   0.074004 -0.255625 -0.031708 -0.981112 -0.631326 -0.226223         4   \n",
       "XOM  -0.475430 -0.453851 -0.371920 -0.533308 -0.566544 -0.415228         2   \n",
       "XRAY -1.684309 -0.638788 -0.756008 -1.009421 -0.163832 -0.528713         0   \n",
       "XRX   0.119442 -0.927995 -0.212615  0.406053 -0.621297  0.047638         0   \n",
       "\n",
       "      Target_Shifted_Quintile_1  \n",
       "Tick                             \n",
       "AA                            3  \n",
       "AAPL                          4  \n",
       "ABT                           3  \n",
       "ABX                           4  \n",
       "ADBE                          2  \n",
       "...                         ...  \n",
       "X                             0  \n",
       "XEL                           3  \n",
       "XOM                           3  \n",
       "XRAY                          2  \n",
       "XRX                           4  \n",
       "\n",
       "[8360 rows x 22 columns]"
      ]
     },
     "execution_count": 137,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data_from_2015"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "AAPL_data = data_from_2015[data_from_2015.index == \"AAPL\"]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['Date', 'Close', 'Mkt_Cap', 'P2B', 'Vol_1M', 'Div_yield', 'PE_ratio',\n",
       "       'RSI_1M', 'D2E', 'Prof_growth', 'Ret_Cap', 'Asset_growth', 'Prof_Marg',\n",
       "       'Ret1M', 'Ret3M', 'Ret6M', 'Ret12M', 'MOM3M', 'MOM6M', 'MOM12M',\n",
       "       'Quintile', 'Target_Shifted_Quintile_1'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "AAPL_data.columns"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Creating the input images"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['Close',\n",
       " 'Mkt_Cap',\n",
       " 'P2B',\n",
       " 'Vol_1M',\n",
       " 'Div_yield',\n",
       " 'PE_ratio',\n",
       " 'RSI_1M',\n",
       " 'D2E',\n",
       " 'Prof_growth',\n",
       " 'Ret_Cap',\n",
       " 'Asset_growth',\n",
       " 'Prof_Marg',\n",
       " 'Ret1M',\n",
       " 'Ret3M',\n",
       " 'Ret6M',\n",
       " 'Ret12M',\n",
       " 'MOM3M',\n",
       " 'MOM6M',\n",
       " 'MOM12M',\n",
       " 'Quintile']"
      ]
     },
     "execution_count": 140,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "predictors_columns = list(AAPL_data.columns.values[1:-1]) #Remove Date and Quintiles_Target\n",
    "predictors_columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "last_date = str(AAPL_data.Date[-1].date())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 150,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAUoAAAFCCAYAAACXepRoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAAPYQAAD2EBqD+naQAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4yLjIsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+WH4yJAAAgAElEQVR4nO2dedAkZ33fPyutdlfXrqTV6lodrQt0II5wCDA3BuIaX8RxAolT2OGyg12UjQ2NsXEwLqsxFUgKEhuMj8IGXElssIsuByGEOcQhbCEJEKADNSshIa2klVZopZW02vzxPL93emdnprunz2fm+6na6n7m7el59n1nvvO7nt+zbv/+/QghhJjNIX1PQAghho6EUgghCpBQCiFEARJKIYQoQEIphBAFSCiFEKIACaUQQhQgoRRCiAIklEIIUYCEUgghCpBQCiFEARJKIYQoQEIphBAFSCiFEKIACaUQQhQgoRRCiAIklEIIUYCEUgghCpBQCiFEARJKIYQoQEIphBAFrO97AkIsA1GcbgQuBr6aJaO9fc9HNIssSiGa4Z3A54DvRXH6W1Gcbu57QqI5JJRCNMM5/ngK8EfAjihOL4ni9KQe5yQaQkIpRDMc448fBb4LbAFiIIvi9ANRnJ7b28xEbSSUQjSDCeVfAxcALwe+AmwEXgd8N4rTj0VxekRP8xM1kFAK0QwmlPdmyeixLBl9Ang28DwgBdYBrwBe3NP8RA2U9RaiGdaE0h7IktF+4AvAF6I4/SQwAk7uYW6iJrIohahJFKfrcDFJyAnlBD/0xxPbn5FoGgmlEPU5ivFnaZZQ3uGPEsoAkVAKUR9zux8GHppxjYQyYCSUQtQnn8jZP+MaCWXASCiFqM9BiZwpSCgDRkIpRH3KCKUlc7RSJ0AklELUp4pFuTmK000tz0c0jIRSiPqUEcp7cckekPsdHBJKIepTKJQ+yXOnH0ooA0NCKUR9yliUoIROsEgohaiPhHLJkVAKUR8TyvsKrpNQBoqEUoj6yKJcciSUQtRHQrnkSCiFqI+EcsmRUApRHwnlkiOhFKIGvhelhHLJkVAKUY8yvSgNE8pjozjd0N6URNNIKIWoh3U2fwR4sODae4B9/vyE1mYkGkdCKUQ9yvSiBCBLRo+hZYxBIqEUoh5l45OG4pQBIqEUoh4SyhVAQilEPSSUK4CEUoh6VBVKbVsbIBJKESxRnL40itOf6XkasihXAAmlCJIoTg8DPgH8XRSnfYqOhHIFkFCKUDkFOBz3Hn5Sj/NYVCi1yVhASChFqJyWO7+ot1mU70VpyKIMEAmlCJWhCWVVi3KrDx+IAJBQilA5NXceklDeDTzmz7c1Px3RBhJKESp5i/KCKE7X9zSPSkKZJaN9wE4/lPsdCEEKZRSnQc5bNEpeKDcB5/Q0j6oWJShOGRzBCU4Up+8H7oji9JS+5yJ65dSJcefud8VelHkklIERnFACrwCOB57d90REr5hFeZU/9hGnPBI41J9LKJeYoIQyitNtwFY/PKPPuYj+iOJ0I2OR+Ud/7EMorRflo8CeCs+TUAZGUEIJXJA7P723WYi+sbDLQ8Bn/fkTe5hH6V6UE0goAyM0oTw/dy6LcnUxt/tW4Fp/flYUp0d1PI9F4pMgoQyO0IQyb1FKKFcXE8pbsmS0k7HwXNjxPCSUK0JoQpm3KOV6ry6W8b7VH7/hj13HKSWUK0JoQpm3KI/rwdUSw2DNovRHc79DE8rjozg9dO6VYhAEI5RRnG5hHMS33e5kVa4mk0JpFmXXCZ1FhXInsB/3+Tu+0RmJVghGKBm73bcD1/tzxSlXk5muty8C74qFhDJLRo8Cd/mh3O8ACFEorwN2+HMJ5WoyaVFeh2s0sZVu+zwualGC4pRBEZJQWnzy28D3/blc7xUjitNNjLvu3AKQJaMHgRv8Y13GKav2oswjoQyIkIQyb1GaUMqiXD22++ODwK7c433EKWVRrgghCWXeojTXWxbl6pGvocyvhumjREhCuSL01cOvElGcHgFEfngd46y3LMrVYzI+aYQqlNo7JwBCsSgfD6wD7sGVVphFuV3t9FeOyYy3YbWUXTbxlUW5IoQilGvxSe9u3QE8jJu/+lKuFrMsypuBB4CNwLltT6JGL0pDQhkQoQhlPj5JloweQyVCq8pUofTviW/5YRfu9xGMQ1cSyiUnFKHMZ7wNCeVqku8cNEmXcUqzJvfhLNmqmFBu09YmwyeUP9ABFqVHtZSricUoJ11v6HbNtzXtrdqL0rjTHw9l3IxaDJTBC2UUpxsYbxwli3KF8dUPJirThLIPi3IRt5ssGT2CS06C3O/BM3ihxInkeuBHHOhuyaJcPcyafIDpq2FMKM+K4vToludSSyg9ilMGQghCafHJ70y4OLIoV481t3uau5slo7uAH/ph2018JZQrREhCed3E42vLGDvuGCP6Y1ZpUJ6u3G8J5QoRglBOS+TA+MNyOAqGrwrzMt5GVwkdCeUKEYJQTrUos2S0l7GbJfd7NZiX8Ta6ao4hoVwhBi2Uvk3+eX44aVGCEjqrRiXXu+WQjIRyhRi0UOIsxU3AXtwStUmU0Fktyrje38Y18T0OOLnFuTQhlOYRSSgHztCF0uKT1/v2+ZOoL+VqUeh6+ya+tlVIm3HKOk17DVmUgTB0oZyV8Tbkeq8IUZweCRzrh/Ncb+gm892k632CKjeGzdCFclbG25DrvTqY2707S0a7C67tIqHThFDaMsbDGH8JiAEydKGURSmMWX0opxGERekrN+z5cr8HzGCF0rsiZS3KbX4dsFheymS8jW/64/ltuLQN9KLMozhlAAxWKHENeY/GtbG6YcY19wL3+3NZlctNFaE0q3Mj7bi0h+PcZZBQrgRDFkqzJm/yLspB+PW+cr9Xg9Kud5aMHmK8Q2Mbe9KYNfkYrllLHSSUATBkoSyKTxpK6KwGVSxKGNcotlFLWbcXZR5tMhYAQxbKovikIYtyNagqlLf7YxtC2VR8EmRRBsGQhVIWpchTJesNEkrRIEMWyqoWpYRySfFNeM3dlUUpOmeQQhnF6TbgeD/8TsHlZlHK9V5ezO2+N0tGZZMnJpRtJnOaFErFKAfMIIWSsdv9/SwZFe1wZxblqb7bkFg+qrrd0G4yp0mhvAlXAndqFKdPa+B+ogWGLpRF8UlwlsOjuH112uwWI/qjaiIHAnG9/fYVH/XDt9a9n2iHoQpl2fgkWTLax9jSUJxyOVlaofQk/vjyKE7Pm3ul6IWhCmUVixKU0Fl2FnG9TSg3t7C8tVGhzJLRdcAngHXAW5q4p2iWoQql7aBXaFF6lNBZbhaxKHcDD/rzphMlTfSinOQSf/yFKE5bfx9HcXpCFKdR26+zLAxOKKM4PQe3zvsRxhtFFSGLcrmpLJR+xUxbCZ2mXW+yZHQl8BlcrP03m7rvHC4Dro3iVHH9EgxOKIGX+uMVFUpBJJSBEsXpq6I4fXsUp/Pei4u43tBenLJxofSYVfnaKE5PaPjea/gmyBfhms68oK3XWSaGKJQv88dLKzxHrne4vB94B/Dvpv0witMtuA80VHO9ITyhvBz4Gm6fqDc2fO88+c/Jc1p8naVhUEIZxelhwIv8sIpQrlmUaqkfDr7u9Sg/fKf/+09ibvc9WTLaU/ElGi86b7gX5QH4cMEf+uEb/JdEG+SF8sdaeo2lYlBCCTwL98G5C/h6heeZpXEU4zexGD6bcufnAL845ZpF3W5oJ0a5Cdjgz5u2KAH+AVftsQX4lRbuDwcK5RNbFOSlYWhCafHJT2fJ6LGyT/KWxk4/VJwyHCbLdn4vitPDJx5bJONttOF6N9mL8iD8+/5dfvjrU34fTZAXynU4A0XMYWhCafHJTy3wXHURCg8Tyodxf7/tHGxFDU0ozfq6r8qXeUU+hgsnnQD8Ugv3t8+I9dKU+13AYIQyitPjgaf64acXuIX6UoaHCeX9uIQOwG9Hcbo5d00d17uNxhhtJXLWyJLRI8C7/fDNM2K3dbDPyOf8UQmdAgYjlMCLcW7AN7JkdNsCz1eJUHiYUO4BPgx8F9gK/EbumiYsyhOiOF2/0AwPpnWh9Pw5bjvbM4BXNHxvE0pbY35xC2K8VAxJKBcpC8qjEqHwWBPKLBk9CvyuH7/JexhQTyjvwsUS1+Hc2CboRCizZPQg8F4/jAvqTEvjKw3MSr8UuAe3WdpTmrj/sjIIofQlF5bIWSQ+CbIoQ8SE0pYa/i1wFa564a3+fWFCWdn19g1TrN9jU3HKrixKgD/GLZO8AHhuQ/c8CbeD5D7gB8AV/nG533MYhFDi3gjbgYeALy54DyVzwiPvelvG923+sTcAT8hds0iMEppP6HQmlFkyuo+xkJ3T0G3N4/qBt+Lt/krozGEoQmnW5Oe8y7EIZlGeGMXpprlXiqFwgFB6PgV8Hrcn9wf8Y3fVeF80ndDp0qIEZ/XB2F2uiwmlfV7MMHmOFmvMZihCWTc+CXA34w/cafMuFIPhIKH0q1N+2w+tvm9RaxICtig99n/f3tD9TCjNA/tnYC8uhtuU1bp09C6U3vp7vh8uGp+0D5gSOmExzaIkS0ZXAGnuoUUSOUbTq3P6siibEkoLTe0AyJLRXpxYgtzvmfQulLgg9SbcG6Jso95ZZP74uJr3Ed0wVSg9b8ud1xHKtizKJntRzqMt13tH7rE197uh11g6hiCUFp+81FuFdfiqP76g5n1EN9jyvIOEMktG1wAf8cOyfUmnIdf7QCZjlKDMdyFDEMom4pPGZ/zxRU3VnYlWmWdRArwa9/748xqvsSzJnK0NJSmnWZRf8sfH+62ixQS9ionvrnwRbs3pZQ3c8qu4D93x/r5i2MwVyiwZ7c2S0aV+Sd+irMUoG8rqdi2U9zKuM61lVUZxejRwrB+uCWWWjO5mHPZ6dp3XWFb6trpe4o//4rftrEWWjB7GlZaAWxIphk2RRdkEJpQbGItEHToVSh+Oasr9NmtyV5aM7p/4mdzvOfQtlE263caa+93gPUU7tC6UWTJ6CNjlh7XilN713eiHXVmU0Fzme5rbbVhCZ27mO4rTQ6I4fVEUp0fNu27Z6E0ofQzRLMqFy4KmYEL5fC30HzxdWJTQXJzSrMn9uI5HXdFU5vuA0qAJTCifVtAD8924z9jba84lKPq0KJ8MbMM1P/1Kg/e9Bld8fhTw9AbvK5qna6Gsm/leKw1qsRflNJp2vacJ5c24MMVhzPjcRHH6XODX/bByDiCK06dFcfrOlpoRt0qfQmllQZf72GIj+DfwZ/1QccphM9kUoy2aKjq3pr1dut3QvOv9/ckf+FjoTPc7itMjcNUHlhBb5HeZAL8D/OQCz+2VPoXSVuN8Zu5Vi2H3lFAOm9AsSmv9tmvuVc3TlOs9z6KE+YXnf4hb4mh/q1MWeP0z/bGpmtDO6EUofU88K0NYtFvQPEwon+W/CcUwCU0obS30zTXvU5WmLMp5MUoYZ76fna9DjuL0eYy3z32dP26L4nQDJfH3M6Fvbc/ytujLorwQ2IyLT9ZZdTGLG3FxnQ2o3GHIhJbMMaG8oeZ9qmIxypO9kVEZ3+HdhHaWUF4NPICLxV7gn3ck8Bf+53+G64puda1Vfp/HM969UkJZEouBfMX3xGsUH2+R+z18QrMoz/XHG2vepyp34Dq1r2dxkTkZOBQncrdPu8B/Fi2xagbGJcBZOLF+k/9s2VYtVdzvfNhAQlkSE8or5l5VD9VTDp+uhLKpZE4vFqUXMPs/LOp+W3zy1oKM/Voj3yhOnw/8mh+/xjcShsW+ePJCGdwyyVUQyqdGcdrEigzRIN4VtDrXrizKzYvGrH1NbuSHXVuUUL9EqCg+aVjO4AWMXe4/zZJRvtZZFmXbRHG6HfeGe4xm6ycPwO/k+B1cOcML2nodsTD5Wrq2hXI34xKkReOUEc51fZCxUHRJ3cx3Ucbb+Arus3kqLku9A/jNiWsWEcp8M20JZQnMmrx2ynrTplGccriYZbcf12G7NXxcrW6cci0+2UA7wEWom/meWUOZx38mr8k99JosGe2euKyuRXlUaNUofQplG2VBk0goh0t+q9ouhKeuUPaV8Tbqut5lLUqA/+ePH8iS0aen/LyuUEJgcco+hbLN+KTxTzg34jzv8ovh0FUix6ib0DGLsi+hrOt6l41RArwT14fhDTN+bkK5aDIHAnO/13f5Yr7jyJP9sHWhzJLRrihOrwKehst+/1XbrylK07VQNmVR9pHIgY5cbwC/4+W8/rD2uyxlUfo+oCaUu3Dt7kpblL529BjfN7MXOhVK4Bm4gPgtWTKqsw9KFT6DE8oXI6EcEn0J5aLJnL4tSnO9T43idF2VcEUUp1twCzyg3v5DhlmUW6M43eg3KJvHVty+WOCK2l9INYvyCuDiKE534JpzX+mPV2XJ6IEK91mYroXSili7cLuNy4G34LaHmPkGi+L0POCOLBl1vY53VemqIYaxsEU5gNIgGFuUR+JEr8rmZmZN3t2QsOzCJeA24n6fWcH1Zk3eyVioSwmlLyO72A9P9/9+3o/3RXH6TZxwXgl8pMb+73PpOkbZZXzS+CLwMK484aB9i6M4XRfF6e8B3wY+2eG8Vp2QYpQR/ZYGkSWjPYy7FlV1v6vEJ8vMperqHBPKW3BiCeUtyi2585cAMfBx3BfHocCTgNcC7wMaX+VndGZR+jiDbWjfRcYbcG+wKE6/jOtW9GJyrpPvi/dnwCv9Q0+p6taIhQkpRtl3aZBxK24d9naqbe1cOj5ZgdtwdZZlfp8mlLdSXShtsciPsmR0GbnYqU/QPsP/O7Lm3kpz6dL1fgJwNK4z9Dc6fF1wcUoTyj8BiOL0JOATOLP+Udzv4nDgOFzjX9EufQnltihO11fsMdB3aZDxA9znqGrmu0ppUFmqJHSs2DwvlGWTOdYs+aCQWJaMfoCzLj9e8l4L06XrnW+Esa/D14VxPeUL/Z4fT8TFNC7G/QFeCuz015w25fmieboWyp3APtxKraqlKX01w5hk0cx3G0K5iOt9K+PPWVWLsutmyQfQh1B2GZ80voZr6bYVeKufw2nA9cAzs2T0WcZBZgllN9gSxk6E0jeCuMMPq7rfQ7EoFy06bzRG6VlUKKu63jMtyi7pUij7yHgD4GMXn/PDP8Dtp3M5TiSv94/bm0hC2Q1dW5SweEJnaBbloq530zFKqJHMKbnPetf7qE+lE6GM4vRU3B/rMVz9Ux/kt5z4IPCvJ0qBzKI8HdEFfQhl5YTORGlQ3xZlZdfbz9/ErHOL0othPkZprvcGxrWd8zDXeyUsSnO7r+6gEcYsPgz8PfBfgF+ekiGT690tfQpllaLziHFp0NSGtx2yiOu9Hfc5f5ixNdcEZb90jmUcZvmBr3M0DSjjfg/Couwq691nfBIAv/zpZ+dcIqHsliAsSnJLFzveonYaZlGeUHJFDIw9pFsanr9ZlMdGcXr4nEJvc7vvypLRQ/58J64CZhvFVvpKJXN6F8oSdC6UUZz+bhSnN0VxemFXrzkgQhHKvpcu5rmbcUu6sv+HNuKT4FYGmTjOm0s+PmlUSeisRjInitOj6bARRg3sD7k9vwNdy7wOtx/JXyy6aVTAhJLMGUoix1bEVI1TtlEaVGV1Tj7jbVQRypWxKC/2r7MjS0a3Fl3cI7fhkk2HASe2/WJRnG5j/CZ6OuPtQFeFUGKUQykNMqpmvtsoDTLKCGU+kWPIopxCCG63beBkH6Qu3O+n+KMV3/9BFKdndfC6Q6HrphiQc71LlqbAgCxKzyAsSk+ZUIYsypIEIZSeLuOUJpQfBz6Lywx+oMIHOHT6dL03MP4AzmRgpUFG1cx3WzFKWNz1rrI6Z/ktSh93e6YfdtYIowZ9COVVuFjlQ8CPA7/YwWsPgc6F0meJ7QNXJk4ZMZzSIKO06+2/dNu0KKsI5bRkztz13n7+gygPatuivAhXBrAb+GbLr9UE9mbqouh8TSizZHQj8HY/fo9v2LHs9GFRQrXM95BKg4wqrvexuFVo0EzD3knmCuWUYnOjrOt9OM76hyUXyj4bYSxCJxalrwR4nB9+3R/fC/wL7hv0/W2+/kDoWyjLfBkNLT4J1Vxv+8K/s6WGtkUW5RZco2EYCzyUF0qzJvfhejX0RttC2dv67gXpyvV+kj/eliWjO2EtmfQa3Jvi56I4fXnLc+ibTpti5FjEohxKfBJyFmWJMrY23W4o/l2a232PbzxsmFAeX1AWt5bI6btHbFcWpYTyQPLxyTWyZHQ18Ed++D+jOD2GJcQnSWxV2JCFcogW5e24vdAPA44vuLZtoTSLcksUp0dO+fm0+CSM+70eguv/OotBJHKgRaH0H/J9/l9fjTCqYn/Qk/2HuS1MKL8+5We/j2v/djLw7hbn0CdH5M67FsoqReeDsyh9jwJrF1fkfrdZQwluzbbtwTPt9zkt423/h3v8cF5CZxClQdCiUGbJ6N4sGZ0JnJwlo17jCxW4E3gE19y1yubuVflX/niQUPr1sK/1w9dEcXp2i/PoCxPKfbjfd5eUsij9F+WZfjgYofSUzXy3WRpUZnXOtESOUSZOufwWpZElo53FVw0Dn9m0P2or7ncUpxsBW9s9zaIkS0afZ+yWX9DGPHpmLZHTQ+ypbDInYnilQUbZzHfbrjfMF8qpFqWnilAur0UZMG3HKS/Exed2Mf+b/mZ/PHPONaHSV8Ybyscoh1gaZJTNfHchlPN+n3WFchC9KEFCOY22hXItPllgTUko28E+2JujOJ23OmeIiRyj0PWO4nQDY/Hq26KcVsMpizJw2i46nxmfnEBC2Q7345JlAJfMuW5wiZwcZVzvU3Gx9ocYLxlsg0VjlGWWMS5/MidgurIor5p7FWT+uMxC2WVDDGAtAfHLfvj6KE5fOuPSIVuUZVzvyB93tBwHniqUUZxuxq3KgwOLzY0yyxhXJ5kTIK0JpS+utWLz0hblEjbK6NOixO+6aaufPhTF6ZYpl4VgUc7Lev+kPxa9z+oyy6K0ud07o+qlSoxSFuUAadOiPBcnEnsYu3+zyPzxaOYX5YZIr0LpiYHv4f7O/y3/g4nSoCFalCaUm6M4PWryh1Gcrgf+gx/+dctzmZXMmRefBJUHBY/9YY+P4vTwuVdWx+KT1xatffdrc604etnc796FMktGD+A6Ne0HXh3F6U/kfnwG49Kg2w5+dr/4Dfp2++E09/sluObTO4FPtTwdE8qjfQ8DY17GG2RRBs8uxh/gqvsnF1E2Pmksa0Knr3XeB5Aloy8A/8MPP5TLglt88qYBlgYZ89zv/+SPfzNlt9FG8aJtuyrmrcp5iRwYJ3OO8Rn6aciiHCo+8N2W+z1v6eI0llUoe7coc7wNF4c8BdfBCYYdnzSmZr59EsUaqny4o7lMi1MWWZS7GHf3Pyih4xt+2L7fsigHSuNC6RMyEkrHYITSd7V5FW6/pFdFcfpTDGvnxVnMKhH6OWAT8B1c274uqCyU3lI3q3Ja5nsLrrwJJJSDpQ2L8nRcUuZRyjcxllB2QJaMvsw4ofNB3GZvMMxEjmECNOl6m9v9Vx0uD52W0ClK5sD8OKW53XuyZPRwjbk1goRyOm0IpVmT3yq5cT2MhTJqcB5DYFBC6Xk7zgo7ifH2JUFZlFGcng680A8/0uFcFnG9Yb5QDiaRAxLKWbSxOqeq2w05oexwr/EuGJxQ+q5N5oIbQ7Yop7ne/9Ef/ylLRq10DJrBAULpS5bMIpwnlPNW5wwmkQMSylm0aVFWEcpbcAHvjVTbi3roDE4oAbJkdCXwLj/cwwBLg3Ic4Hr7GPia293xXCYtSrMmd/us+CxkUQZOG0JpNZRlS4NsewibyzLFKQcplJ53AP8LeNOAS4NgbFGe6Avknwqcj1vb/X87nsssoSza0KxMjHIQFuX64ktWEvsDb47idHOWjHbPvbqAKE634Vyk/cA1FZ9+My5GeSbhbKlRRG9rvYvw8eM39D2PEuzENT0+DOdtmDX593Xfrwuwlszxlm2Z+CTMX+89mM5BIItyKn5tqv2BmrAqze2+scAVmcYyZr6HbFEGgbd2zZKLgFf6865qJ/OYUB6JW3JbVGxuyPVeApp0vxeJTxoSSjELc7//M84quxO4tOtJ+OWg9/nhKZS3KJXMWQKaFMrK8ckcEkoxCxPKX/DHj/m4dh/k45RVXW9ZlAEji7I9JJTNYEJkuYY+3G5jmlCWTeYcMWW7W1mUgdCIUPqOKrYkro5QntbyFrpdMoimGEtAviHudbTfe3Ie+dU5ZS3KH+Gy9HBwQkcWZSA0VXRujXpvXXBHyjuAvbi/VVtd1zvDZ0VlUTZDXii7XLI4DbMoz2HcP3WuUPr5znK/ZVEGQlOud9k9cqbis5uZHy6D+72B8ftOQlkPE6L9dLtkcRomlM/wxx8x7pk5jyKhlEU5cNaEsuZWDHXik8YyxSmPyJ0Pro4yML6Gy3K/O0tGRfHAtjGhvMgfbylp4c7KfA9mq1pQwfk87Nt6E7AVuGvB+0goD8SE8pG2m8ouO744/mV9z8NjQnmoPxbFJ42DLMooTjfhPncgi3LY+Deh/REXcr+jON0IXOiHi5QGGcsolHK7l4vbJ8YLCyVjt3s/4+7pvSKhnE/dOOUTcFb7PRSXSsxDQimGTl2hzGe91+KTQ1lvL6GcT12hXEvk1MxISijFoPGb4eXjiXUsykGVBoGEsoi6Qvksf/xqzXmYUJ4YxekRc68cPoNtiCFqk29LV9aDmpbMGVRpEEgoi2hKKL9ccx67GJdanFHzXn0ji3J5yQulLMoVworOKwtlFKfHAef54VfqTMK77cvifksol5daQpkrw5NFGRhmUS6yOudif7whS0aLlhblkVCKoWMJnT2UtwbN9V7PWCAHVWwOEsoiTCi3R3F66NwrD8bc7lrWZI5lEUqt815ezKIsW2xuexVZWMky33K9A+N23GZT64ETKz7XdvKrG580lkUoZVEuL9f547cqPm8yoSPXOyR8bz/7liwdp/Q7JprrLaE8EAnl8nI58BLg9RWfN5nQGZxFqSWMxdyCaxt1GuXLfC4ANgMPAN9saB4SSjFovLt92QJPnRRKWZQBskiJkMUnr2yw43Tmj8dEcXrMvAsHjoRSTDJ4i1JCWUwdoWzK7bZ9SewN1UjwQloAAApHSURBVIpVGcXpv4ni9C01uyUVIaEUk8iiXALqCGVTGW+jNffbZ/X/EkgYN/JoAwmlmMSSOZb1VnlQgFQSyihOj6WhQvMptBmnPBu31SjA41q4vyGhFJPki84PQUIZJFW3hLBs940Lbv0wj8wf2xDKJ+XOz27h/oaEUkySd72PYqxLcr0DwizKk6I43VDi+sbjkznatCifnDvvQijVFEMYeaG0RM5eX4w+CCSUxewEHgbW4bbiLCJUocxblOe0cH9DFqWYxIRyq/8HA7ImQUJZiG8cagv858YpWyo0z2NCGbWQmZbrLfriblw383WMv6QHE58ECWVZyiZ02ig0z7MD94Y6nOpLKmcSxelWxnsxA5xeMsywCBJKcQC+1vgeP7REoizKACkrlLa++2sNFpqvkSWjhxlbt02632ZNfg8nYIfQXt9LNcUQ0zD324RSFmWAlBXKNuOTRhtxSkvkXI0TS2gvTimLUkzDhPLx/iiLMkC+74/PLIgNhiqUZlFeDdzozxuPU/rfnYRSTEMW5RLwD7i441OBV067wBean++HTRea51lL6DR4TxPKa4Cb/HkbCZ1NuXMJpchjQjm4YnOQUJYiS0a3A5f44buiOD1yymVtFprnadSi9EmbC/ywbaHMb4ymOkqRZ/IzI9c7UN6DWxlzKvDmKT9va333JE273ucDh+G+wXcwFso2YpQmlHuzZLSvhfuLcLlzYiyLMkT8vsW/5YdvjuJ0cklj0x3NZ2FCefoC21NMY83t9v0ELUZ5lq8LbRLFJ8UsJoVSFmXA/C3weVys7V32YAeF5nluw60UWs+BtY+LYhnva/xxB/AosJFyK5GqIKEUs5BFuSx4i+uNuKLvV0Rx+hz/o/OBLbiEzzdansNjjLPwTbjf+Yy3Ff/a/Zt2vyWUYhayKJeJLBldDXzID/+7tyYtPtlKofkUGolT+nKdSYsS2isRUkMMMYvJZI4syiXgd3BbbD4VeBXdJXKMphI624HjgH2Md9CD9jLfsijFLO7FhXzy48EgoVyALBndCfy+H14CvMCftx2fNJoSSnO7vz3R0kpCKTrFh5TyVuV9fc1lGhLKxXkfcAOuOcVZ/rHQLMppbje0VyKkdd5iHhan3D208jEJ5YL4BhW/kXvoJm9pdvLy/tiURTkplGsxyobbucmiFPOwz8+gEjkgoaxLClzqz7/U4euaRXlKFKeb5l45nwMy3jmsMcYWXAyzKSSUYh7meg8qPgkSylr4cqFfAt4LvKPDl74LV4oEC7ZD88swz/XDAyxKX1x/mx82GaeUUIp5DNaiXN/3BEInS0a3caAL3sVr7o/i9AZcjPHHgO8ucJuLcB2lb58RMrgRV3B+DnDlonOdQEIp5mHvQ1mUojH+xh9/dcE44qxEjtFG5ltCKebxj7j4+9/1PI+DkEUZLh8C/ivwFFwdZ9UY6axEjiGhFJ3iF3O0sXFebWRRBkqWjO4GPuqHv7bALWYlcow2SoQklCJIJJRh8z5//LdRnJZuYOGXXT7RD2dZlG0sY5RQiiCRUAaMd1W+iAuhvL7CU88GjgQewhXNT8MsypNmNCpeBAmlCBIJZfiYVfn6ClvMmtv9jVlNPLJktItxmcZZ065ZADXFEEEioQyfj+NqHk8Efr7kc4oy3oa5303FKWVRiiCRUAZOloweAf7ED8smdYoy3kbTmW8JpQgSCeVy8EFc1/OLozh9eonr8/t4z6NpoVRTDBEkEsolIEtGdwD/2w/nWpVRnB7HeAuJawtu3XSJkCxKESQSyuXBkjr/PorTE+ZcZ27397JktLvgnk2XCEkoRZBIKJeELBldiVuTvQF47ZxLyyZyYGxRnh7F6WE1pme1m9bpSEIpgkJCuVyYVfkrc4StbCIH4HZcKc+hLNilKMfhuXMJpQgKCeVy8X9wHVi2Az8745qipYtr+DZyTcUpj8idPzTzKiEGiJpiLBFZMtobxekHcZuffSCK01cD3wG+7f/dBFzoLy9jUeKf8wTqxynXis39/ihCBIOEcvn4Y+BXgWOBl/l/k9zHeO/uIpoqEVIiRwSLXO8lwzcSPgN4Li6p8x5cn7+bgf3+sku9W10GCaVYeWRRLiG+7OeL/t8aUZweAZzGeM+dMjS1jFFCKYJFQrlCZMloD9W3jTCL8qwoTg+pEV9UQwwRLHK9RRE7gH24GsiTa9xHFqUIFgmlmItvupH5YR33W0IpgkWutyjDTbhkztnA5yZ/GMXpduCNwF9myei6GfdQQwwRLBJKUYaZme8oTk8CPovbI/w04JUz7iGLUgSLXG9RhqlCGcXp8cBlOJEEOG/OPSSUIlgklKIMB5UIRXF6LPBp3Eqf+/zD587ZY1xCKYJFQinKcIBFGcXp0bgi9icDO4HnAY/hNiyblRmXUIpgkVCKMnzPH4+J4vRU4JPAxbjNx348S0bXMi5iP3fK80FCKQJGQikK8YXqt/nhZTgLcjfwUi+SMN729nEzbiOhFMEioRRlMff78cADwE9kyeifcz83oZRFKZYOCaUoiwnlQ8BPZ8noSxM/v94fJZRi6ZBQirL8KfAF4GeyZHT5lJ/L9RZLiwrORSm8Bfm8OZeYUJ49o3mGmmKIYJFFKZri+8AjwEbcCp1JZFGKYJFQikbIktE+xnHMae631nqLYJFQiiaZl/mWRSmCRUIpmmRe5ltCKYJFQimaZF7mW0IpgkVCKZpkqusdxel6YIMfSihFcEgoRZOY631mFKeH5R4/PHcuoRTBIaEUTXIbrk5yPRDlHje3ez+wt+M5CVEbCaVoDF9kbr0r8+73Wnyywn7iQgwGCaVommmZbyVyRNBIKEXTTMt8SyhF0EgoRdNMy3xrnbcIGgmlaBq53mLpkFCKpjGL8owoTjf5cwmlCBoJpWiaO4H7gXXAWf4xNcQQQSOhFI3iy38m45SyKEXQSChFG1ic0jLfEkoRNBJK0QayKMVSIaEUbSChFEuFhFK0gVxvsVRIKEUbmEV5ShSnRyKhFIEjoRSNkyWje4B7/PAcJJQicCSUoi3y7reEUgSNhFK0RT6hI6EUQSOhFG0xTSjVFEMEyfq+JyCWlrzrbdtCyKIUQSKLUrRF3qLUWm8RNLIoRVuYUG4DDvXnEkoRJLIoRStkyeh+4Id+eJw/SihFkEgoRZvcMDGWUIogkVCKNpFQiqVAQina5PqJsYRSBImEUrSJLEqxFEgoRZvkhXIf8EhfExGiDhJK0SY35c73+G0ihAgOCaVojSwZ7QFu8UO53SJYJJSibcz9llCKYJFQirYxoVRDDBEsEkrRNlYiJItSBIuEUrTNV/3x5l5nIUQNJJSiVbJkdAXwdODVfc9FiEVZt3+/KjaEEGIesiiFEKIACaUQQhQgoRRCiAIklEIIUYCEUgghCpBQCiFEARJKIYQoQEIphBAFSCiFEKIACaUQQhQgoRRCiAIklEIIUYCEUgghCpBQCiFEARJKIYQoQEIphBAFSCiFEKIACaUQQhQgoRRCiAIklEIIUYCEUgghCvj/ErutmmverlYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 400x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from pathlib import Path\n",
    "\n",
    "for count,attribute in enumerate(predictors_columns):\n",
    "    plt.figure(figsize=(4, 4), dpi=100)\n",
    "    plt.plot(AAPL_data.Date,AAPL_data[attribute])\n",
    "    frame1 = plt.gca()\n",
    "    frame1.axis('off')\n",
    "    frame1.axes.get_xaxis().set_ticks([])\n",
    "    frame1.axes.get_yaxis().set_ticks([])\n",
    "    \n",
    "    direc = \"{}/\".format(last_date) #Make directory to contain image of time series for a stock and for a specific time-window\n",
    "    Path(direc).mkdir(parents=True, exist_ok=True)\n",
    "    figname = \"{}/{}_Attribute_{}_{}.png\".format(last_date,last_date,count,attribute)\n",
    "    plt.savefig(figname, dpi=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 155,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[]"
      ]
     },
     "execution_count": 155,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 400x400 with 0 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(4, 4), dpi=100)\n",
    "AAPL_data.plot(\"Date\",\"Quintile\",kind = \"bar\")\n",
    "frame1 = plt.gca()\n",
    "frame1.axis('off')\n",
    "frame1.axes.get_xaxis().set_ticks([])\n",
    "frame1.axes.get_yaxis().set_ticks([])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 157,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0"
      ]
     },
     "execution_count": 157,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "AAPL_data.Quintile.isna().sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.8.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}