autocorrelation.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Autocorrelation and Partial Autocorrelation of BTC and ETH daily returns - [for explanation read here](https://machinelearningmastery.com/gentle-introduction-autocorrelation-partial-autocorrelation/)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels as sm\n",
    "from statsmodels.graphics.tsaplots import plot_acf, plot_pacf # loading glitch\n",
    "from statsmodels.graphics.tsaplots import plot_pacf\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## BTC Autocorrelation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
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       "        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>Adj Close</th>\n",
       "      <th>daily_return</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>2022-01-22</th>\n",
       "      <td>35030.250000</td>\n",
       "      <td>-0.039143</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-23</th>\n",
       "      <td>36276.804688</td>\n",
       "      <td>0.035585</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-24</th>\n",
       "      <td>36654.328125</td>\n",
       "      <td>0.010407</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-25</th>\n",
       "      <td>36954.003906</td>\n",
       "      <td>0.008176</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-26</th>\n",
       "      <td>36852.121094</td>\n",
       "      <td>-0.002757</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Adj Close  daily_return\n",
       "Date                                  \n",
       "2022-01-22  35030.250000     -0.039143\n",
       "2022-01-23  36276.804688      0.035585\n",
       "2022-01-24  36654.328125      0.010407\n",
       "2022-01-25  36954.003906      0.008176\n",
       "2022-01-26  36852.121094     -0.002757"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read in BTC prices\n",
    "btc_prices = pd.read_csv('/Users/draganbogatic/Documents/Fin_Tech/crypto-analysis/resources/BTC-USD.csv', usecols=['Date','Adj Close'], parse_dates=True)\n",
    "btc_prices = btc_prices.set_index('Date')\n",
    "btc_prices['daily_return'] = btc_prices['Adj Close'].pct_change()\n",
    "btc_prices = btc_prices.dropna()\n",
    "btc_prices.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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>Adj Close</th>\n",
       "      <th>daily_return</th>\n",
       "      <th>lag_return</th>\n",
       "      <th>return_diff</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-22</th>\n",
       "      <td>35030.250000</td>\n",
       "      <td>-0.039143</td>\n",
       "      <td>-0.103812</td>\n",
       "      <td>0.064668</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-23</th>\n",
       "      <td>36276.804688</td>\n",
       "      <td>0.035585</td>\n",
       "      <td>-0.039143</td>\n",
       "      <td>0.074729</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-24</th>\n",
       "      <td>36654.328125</td>\n",
       "      <td>0.010407</td>\n",
       "      <td>0.035585</td>\n",
       "      <td>-0.025178</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-25</th>\n",
       "      <td>36954.003906</td>\n",
       "      <td>0.008176</td>\n",
       "      <td>0.010407</td>\n",
       "      <td>-0.002231</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-26</th>\n",
       "      <td>36852.121094</td>\n",
       "      <td>-0.002757</td>\n",
       "      <td>0.008176</td>\n",
       "      <td>-0.010933</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "               Adj Close  daily_return  lag_return  return_diff\n",
       "Date                                                           \n",
       "2022-01-22  35030.250000     -0.039143   -0.103812     0.064668\n",
       "2022-01-23  36276.804688      0.035585   -0.039143     0.074729\n",
       "2022-01-24  36654.328125      0.010407    0.035585    -0.025178\n",
       "2022-01-25  36954.003906      0.008176    0.010407    -0.002231\n",
       "2022-01-26  36852.121094     -0.002757    0.008176    -0.010933"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate lagged return\n",
    "btc_prices['lag_return'] = btc_prices['daily_return'].shift()\n",
    "btc_prices['return_diff'] = btc_prices['daily_return'].diff()\n",
    "btc_prices.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'BTC Daily vs Lagged Return')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of lagged return vs daily_return\n",
    "x = btc_prices['daily_return']\n",
    "y = btc_prices['lag_return']\n",
    "plt.scatter(x, y)\n",
    "plt.title('BTC Daily vs Lagged Return')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'BTC 365-day returns'}, xlabel='Date', ylabel='BTC daily return'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot of last 30 days of daily return\n",
    "btc_prices['daily_return'][-365:].plot(title='BTC 365-day returns', rot=45, ylabel='BTC daily return')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'BTC Close Trend'}, xlabel='Date'>"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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2h0CpEc+srXBG/U4e5r0xcFJT5PJ+yV6b/SwIzBjEANWNzVz94CLufnMLl88awTNfPpHcjNSQHf/Co4czbnAGv3p1o/1pjF6xbtc+ACZGQcsAHL/BvoNtrCq31BTdYcYgyvl4Ry3n/eE9lm6r5c5Lp/J/F0/tdddQRxIThG+fPYGte5t4ellZ9zsYRhesq9hHfmYqeZmhe1jpDbPH5iIC724yv0F3mDGIYp5dXsZn//QhSYnC379yIpfNDF9K3jMm5jNz1EDufHkDlQ0Hw3Yeo2/jOI+jo1UAMDA9hanDs81vEARmDKKUh98v5ZtPruTYwhye/9qcsCeVExF+dslRNLW0891/rLZQU6PHNLe1U1LZGBX+gkDmFOexfGcd+w62ei0lqjFjEIW8vGY3P/yXM4bgwWuPJTut947iYBibn8mt8ybw+vpK7n+3NCLnNPoOm/c00uZTJg31Pqw0kNnFubT7lA8tNcVhMWMQZZTubeLbT69kakE2f7ji6JD7B7rjCycWMn/KEO54cT1PLtkR0XMbsY3feRxN3UQAM0YOJC0l0abC7AYzBlGEz6fc8tQKEhOFP35+BqlJkTUEAAkJwm8/N5254/K47R+r+fM7W6zLyAiKtbvqSU9JZFSH1Olek5KUwPGjB5nfoBvMGEQRz60sZ/mOOv7fORMpGOjdHyo1KZE/XXUM50wZyv++uIHvPruaVgs5NbphXcU+Jg7NIiEKp5qcPTaXbdX7LTXFYTBjECXsb2nj5y9tZGpBNpcEkYY63PRLTuQPlx/NTaeO4W+Ld3LtQ4vNAWd0iaqyvqIhasYXdMRSU3RPUMZARLaJyGoRWSEiS92yH4pIuVu2QkTOCah/u4iUiMhGETk7oHyeW1YiIrcFlBeJyCK3/EkRSQnlh4wFHvtwO7v3HeR/zpsUNU9WCe74g19cOpXFpTV86eGlNjua0Sm76g/S2NzGuCGZXkvplDF5GQzJ6sd7JdZV1BU9aRmcqqrTVXVmQNlv3LLpqvoigIhMAj4HTAbmAX8UkUQRSQTuBuYDk4DL3boAP3ePNRaoBa7r3ceKLVrbfYcmr59ZmOO1nE/xmZkj+NVl01m8rYafvbTBazlGFLJpTwMA4/IzPFbSOZ+kpqim3XJwdUo4uokWAE+oarOqlgIlwCx3KVHVraraAjwBLBAn9/JpwDPu/o8AF4ZBV9TywqoKKuoPcv2c0V5L6ZILpg3jCycV8vAH21iyrcZrOUaUsdlvDAZHZ8sAnBDT+gOtrLbUFJ0SrDFQ4FURWSYiNwSUf01EVonIgyLin+NuOLAzoE6ZW9ZV+SCgTlXbOpR/ChG5QUSWisjSqqq+0dxTVe57dytj8zOYOy7PazmH5dtnj2dodj9+uHCtRRgZ/8GmPY3kZqQyMD16e3hnj3X8Bu9ZVFGnBGsMZqvqDJwunptE5GTgHmAMMB2oAH4VFoUBqOqfVXWmqs7My4vuG2ewrCqrZ+2ufXzhpMKo8RV0RVpKEt86azxrd+3jjQ2VXssxoojNexoYNzg6u4j8DMpIZfKwLN4xJ3KnBGUMVLXcfa0EngVmqeoeVW1XVR9wH043EEA5EJhEp8At66q8GhggIkkdyuOCZ5aVkZqUwPnThnktJSgWTB/G8AH9+dM7W72WYkQJPp+yubIxqruI/MwuzmX5jloam9u6rxxndGsMRCRdRDL974GzgDUiMjSg2kXAGvf9QuBzIpIqIkVAMbAYWAIUu5FDKThO5oXq9De8CVzq7n8N8FzvP1r009zWzsKVuzh78hCy+kUm5URvSU5M4KoTRrG4tIaSykav5RhRQHndAfa3tFMc5S0DgJOL82htVxZttdQUHQmmZTAYeE9EVuLc1F9Q1ZeBO91w01XAqcA3AVR1LfAUsA54GbjJbUG0AV8DXgHWA0+5dQFuBW4RkRIcH8IDIfuEUcwb6yupP9DKxTM6dZFELZfMKCApQXh66c7uKxt9ns2V0e889nPMqIGkJiXYeINO6HbGalXdCkzrpPyqw+xzB3BHJ+UvAi92cY5ZHcv7On//uIz8zFTmFMeW/yMvM5WTx+Xx/KoKbps/AScgzIhXNu1xWojj8qPfGPRLTuS40YNszu9OsBHIHrG3sZm3NlZx0dHDj3hCey8556ihlNcdYFWZhenFO5v2NJCfmRqx7Lq9Zc7YXEoqG6moP+C1lKjCjIFHPLdiF20+5ZJjvE89cSScOXEwiQnCK2tt3uR4Z/Oe2HAe+5ljqSk6xYyBRzy7vIwpw7Ni6k8USHZaMjNGDuAdi9mOa3w+paSyMSacx37GD84kLzPVjEEHzBh4wOY9Dawp38dFR8dmq8DP3HF5rCnfx97GZq+lGB5RVnuAA63tMfVQIyLMHpvL+yV78VlqikOYMfCAZ5eXk5ggXBAjYwu6wu/4ft+ccXHLJ5FEsdMyAJhTnEtNUwvrKvZ5LSVqMGMQYXw+5bkVu5g9Npe8zFSv5fSKycOyyEhNslxFcYw/kmhsDEQSBeJPTWFdRZ9gxiDCLNlWQ3ndgZgbW9AZSYkJHDNqIItLzRjEK5v3NDAkqx/Z/WMjkshPflY/JgzJtJTWAZgxiDDPLi8nLSWRMycN9lpKSJhVlMOmPY3UNrV4LcXwgE2VDTHlPA5k9thclpTWcqDF5ugAMwYR5WBrOy+srmDelCGkpXQ73i8mOHrEAABWWVrguMMfSRRLzuNA5ozLo6Xdx2Lr5gTMGESUhSt30XCwjUtjdGxBZ0weng3AGjMGccfO2v0cbPXFnPPYz6zCHFISE3h3k3UVgRmDiKGqPPbhdorzMzhh9CCv5YSM7P7JFA5KY1VZnddSjAjjdx4Xx2jLoH9KIjMLB1pqChczBhFixc46VpfXc9UJo/pcLp+jCgawptxC9OIN/1SXxVE61WUwzCnOY8PuBir3HfRaiueYMYgQj3ywjfSURC46OvajiDpy1PAsyusOUG2Dz+KKzXsaGJbdj8wYSb/eGXOK3dnPrHVgxiASlFQ2sHDlLi6fNTKm/zhdMcX1G9jcsvHFpj2NMdtF5GfS0Cxy0lN4z8YbmDGIBL9+bRP9kxP5yiljvJYSFqaYEznuaPcpW6oaY9Z57CchQThpbC7vluyN+3m9zRiEmVVldby4ejdfmjOaQRmxPeK4K7L6JVOUm27prOOIHTX7aW7zURxjI487Y05xLlUNzWx0fSDxihmDMNLa7uO2v68mNyOV6+YUeS0nrEwalsX63eZEjhc27nZzEg3pG8YA4I0NlR4r8RYzBmHkjhfWs65iH3dcNCVm5jg+UsblZ7Kz5gD7W2yi8Xhgcx+IJPIzNLs/UwuyeWVNfM/NYcYgDKgqv3t9Mw9/sI3rZhdx9uQhXksKO/6+4y2VTR4rMSLBxj0NjMjpT3pq3xhJP2/KEFaW1VNeF7+zn5kxCDHVjc187fHl/Ob1TVwyo4DvnjPRa0kRwR9VsinO+13jhc17GmNizuNgmT9lKEBctw7MGISQV9bu5oxfv82r63bznXnj+eVnpsbk/MZHwqhBaSQnCpsqzRj0dVrbfWzd29gn/AV+inLTmTAkk5fNGBi9wedT7nhhHTc+toyCgWm88I05fPWUsX1upPHhSE5MYHRuBpvdFAVG32Xb3iZa25XxMT7GoCPzpgxhyfYadtfH52jkoIyBiGwTkdUiskJElrplOSLymohsdl8HuuUiIr8XkRIRWSUiMwKOc41bf7OIXBNQfox7/BJ335i6i/7vi+u5791Srj5hFM985YSYzeLYW4oHZxya+crou/hDMGM1dXVXXDh9OKrw94/LvJbiCT1pGZyqqtNVdaa7fhvwb1UtBv7trgPMB4rd5QbgHnCMB/AD4DhgFvADvwFx61wfsN+8I/5EEebNDZXc/14p15wwih9dMJnUpESvJXnGuMEWURQPbNrdQILAmLy+ZQwKc9OZVZTDM8vK4nIAWm+6iRYAj7jvHwEuDCh/VB0+AgaIyFDgbOA1Va1R1VrgNWCeuy1LVT9S5wo8GnCsqKalzcf3n1vDuMEZfPfciXHVLdQZ/jDDkkrrKurLbNrTSGFuOv2S+96Dz2UzR1C6t4ml22u9lhJxgjUGCrwqIstE5Aa3bLCqVrjvdwP+qbuGAzsD9i1zyw5XXtZJ+acQkRtEZKmILK2q8j4H+ZNLd1JWe4Dbz5kY1y0CP59EFJkx6Mts2tPQpyKJAjnnqCGkpyTy5JKd3VfuYwRrDGar6gycLqCbROTkwI3uE33Y21Wq+mdVnamqM/Py8sJ9usPi8ykPvlfKtBEDOGWct1qihcJBaSQlCFuqzBj0VQ62trOtuqlPRRIFkpaSxMUzCli4YlfcOZKDMgaqWu6+VgLP4vT573G7eHBf/WO5y4ERAbsXuGWHKy/opDyq+WBLNaV7m7j2xL43P8GRkpSYwMhBaWzbawPP+ipbqhrxKTGfoO5w3HDyaNpVuf/drV5LiSjdGgMRSReRTP974CxgDbAQ8EcEXQM8575fCFztRhUdD9S73UmvAGeJyEDXcXwW8Iq7bZ+IHO9GEV0dcKyo5e8fl5HVL+nQYBXDoWhQOqVmDPos/tDhvhZWGsiInDQumDaMxxfvoLapxWs5ESOYlsFg4D0RWQksBl5Q1ZeBnwFnishm4Ax3HeBFYCtQAtwHfBVAVWuAnwBL3OXHbhlunfvdfbYAL/X+o4WPAy3tvLp2N/OnDO2TTrTeUJTrGAOfL/6iMeKBjXsaSE4UCnPTvZYSVr5yyhgOtLbzhzdKvJYSMbpNLKKqW4FpnZRXA6d3Uq7ATV0c60HgwU7KlwJTgtAbFby9qYqmlnbOnzbMaylRR1FeOs1tPir2HWT4gP5eyzFCzIaKfYzJyyA5sW+PVx03OJMrZo3k4Q9KuXjG8ENzdvRl+vYVDRNvbNhDZr8kjhud47WUqKNokPPEaH6DvsnaXfuYNCzLaxkR4TvzJpCTnsp3n11Na7vPazlhx4xBD/H5lDc3VnHyuLw+/3R0JBTlOcZgqxmDsOHzKet27ePlNbt5d3MV9QdaI3LeqoZmKhuamTys7z8lA2T3T+bHCyazqqyenzy/rs8PROsb+WcjyIbdDVQ1NHPq+HyvpUQlgzP70T85kdIqMwahRlV5elkZf3hjMztrPkm1nJQgnD9tGLfOm8CQ7H5hO//aXc5MdpPjpGUAcM5RQ7l+ThH3vVtKSmICt82fQFIffQg0Y9BDFpVWA3C8dRF1SkKC41zcVm3GIJQcaGnnG08s57V1e5g2YgDfOK2YiUOz2HegldfXV/LXRdt5Y0Ml91w5gxPH5IZFw9pdzkx28dJN5Of2+RNpbvNx/3ulrCqv5+eXTKWoDzrQzRj0kEVbaxg+oD8FA9O8lhK1FOWmsb7CEtaFioOt7dzw2FLeK9nL98+bxBdPKvyPsS0njs3lqhNGceNjS/nCQ0t45IuzOH70oJDrWLurnpE5aX1+1r6OJCQIP14whekjBvC9f67h9F+9xYLpw7nh5NFMHNp3DGPfbO+ECVVl8bYacxx3Q1FuOjtq9seF0y3cqCrfemol727ey88vnsp1s4s6HeRYlJvOEzecwIicNG7668fs2Rf60bNrd+2Lqy6ijlw8o4C3vn0K180u4uU1u5n/u3e56oFFfLyjb+QxMmPQA0oqG6lpauH4otA/dfUlinIzaPcpZbXxO4VgqHhyyU5eWF3BrfMmcNmxIw5bNyc9hXuvnMH+lna+8bfltIXQGO872Mr26v1xbQwA8jP78f/OncSHt5/Gt88ez4bdDVxyzwf88pWNMT+2xoxBD/io1BkjZy2Dw1OU63Shle61HEW9YWtVIz/61zpmj83lxpNHB7XP2PxMfnLhFBaV1vDwB9tCpmW96y+Il0ii7hiQlsJNp47lrf8+hc8cU8Bdb5Zw699XxbRBMGPQAxZtrWZIVj9G5pi/4HAU5Tp5a7ZaRNERo6r88F/rSEoUfnXZNBJ6MH3qJTOGc8r4PH77+mYqQ9RdtGJnHQBHFZgxCCQ9NYmfXzKVb5xezNPLyvjTO7Gbz8iMQQ9YvqOOYwoHWmK6bhiYlkx2/2SLKOoFb22s4p1NVdx8ejGDs3oWLioi/PD8ybS0+fjfF9eHRM/S7bUUDkojNyM1JMfrS4gI3zyjmHOnDuUXr2zgwy3VXks6IswYBEl1YzPldQeYZk9G3SIih3IUGT2nrd3HT15YR1FuOlefUHhExyjMTefGuaP554pdLOvlRC2qysfbazlmlHWPdoWI8PNLplKYm84tT62Iydn+zBgEyepyZ8BNPOQoCQVFuek28OwI+eeKXWytauLWeRNISTryv+iX544hLzOVn77Qu9Gz26v3U93UwjGjBnZfOY7JSE3izkumUlF/kLtiMMGdGYMgWV1mxqAnFOWms6v+IAda2r2WElO0+5Q/vlnCxKFZnD15cPc7HIb01CS+fdZ4lu+o44XVFd3v0AX+loUZg+6ZWZjDxTOGc9+7W9kaY5M8mTEIktXl9YzOTY+7ATdHij/F8fYaax30hBdWV7B1bxNfP21sSHxTlxxTwIQhmfzspQ0cbD0yw7x0ey2Z/ZIOzXFtHJ7b508kJTGBX722yWspPcKMQZCsLq+3SIoeYNlLe46qcs9bWxibn8G8yUNCcszEBOF7506irPbAEYeafry9lhkjB/YooimeyctM5QsnFfHi6go27o6dkfhmDIKgsuEgFfUHOcq6iIKm8NBYg/0eK4kdlmyrZX3FPq6bXRTSG+/s4lxOn5DP3W+UUN3Y3KN9qxub2VTZwLGF1kXUE66bXUR6ShK/f2Oz11KCxoxBEKxxncdmDIIns18yuRkp1jLoAY98uI2sfklcOH14yI99+zkT2d/azm9f79nN6b2SvajCnOK8kGvqywxMT+HaEwt5cXUFJZWx4TswYxAEa8rd0ZdmDHpE4aB0Sm2sQVDsrj/Iy2t289ljR9A/JfRTqY7Nz+Dzx43k8cU7KKkMvuvi7U1VDExLtsCJI+DakwpJTkzgwfdLvZYSFGYMgmDjngZG5PQnI9WSvPaEwtx0axkEyZNLduJT5arjC8N2jptPLyYtOZH/fXFDUPXb2n28tbGKOcV5JJq/oMfkZqRy0fTh/OPjMmqbWryW0y1mDIJg4+4Gxg+O7wRdR0JRbjqVDc00NcfeAJxIoqr8Y3kZJ4wexMhB4Ut1Migjla+dNpY3NlTy7uaqbusvKq2hpqmFc44KjTM7Hvni7CIOtvp4fPEOr6V0ixmDbmhua6d0bxMThmR6LSXm8E8AYiORD8+y7bVsr97PxTMKwn6ua04spGBgf378r3U0tx0+1PT5VRWkpSRyis3qd8SMH5LJnOJcHvtwe0izyIYDMwbdsKWyiXafMs6MQY8p9IeXmt/gsPz943L6Jycyf0r4n8D7JSfyowsms7mykbsPM0q2sbmNhSvKmTdlCP2SQ+/DiCc+f9wodu87yJsbu2+NeUnQxkBEEkVkuYg8764/LCKlIrLCXaa75SIivxeREhFZJSIzAo5xjYhsdpdrAsqPEZHV7j6/lyjKBLdpj+Nss5ZBz/GHl5rfoGsOtrbz/KpdzJ8yhPQI+aROnziYi44ezh/f2nIoUq4j//i4jKaWdq48flRENPVlTp+YT35mKo8v2u61lMPSk5bBzUDHFIjfVtXp7rLCLZsPFLvLDcA9ACKSA/wAOA6YBfxARPzBy/cA1wfsN6/nHyU8bNjdQHKi9Mk5T8NNWkoSg7NSbazBYXh3814aDrZxwfRhET3vD86fxKCMFL78l2WfGntwoKWdu98s4ZhRAzl6xICI6uqLJCcm8NljR/DWpirKaqP3vxCUMRCRAuBc4P4gqi8AHlWHj4ABIjIUOBt4TVVrVLUWeA2Y527LUtWP1Mmm9Shw4RF8lrCwaU8DY/IySE60HrUjoXBQunUTHYaX1lSQ3T+Zk8aGZxL7rhiQlsKfrppJVUMzX/nrx/+RQ+rnL29gz75mbp03wdK1h4jPurPUPblkp8dKuibYO9xvge8AHT0gd7hdQb8REX+i8+FA4Ccuc8sOV17WSfmnEJEbRGSpiCytqopM/9vG3Q2Mty6iI6bIwku7pKXNx2vr9nDGxMGePGxMHzGAOy+dypJtNVx67wf8c3k53312NQ9/sI3rZhcxq8hSVoeKgoFpnDIujyeX7IzaucG7/QWKyHlApaou67DpdmACcCyQA9waenn/iar+WVVnqurMvLzwj4hsONhKed0Bxg02Y3CkFOWmU93Uwr6DrV5LiTo+2OJ0EXkZurlg+nDuu2om1Y0t/NeTK3hi8Q6+cFIht8+f4JmmvsoVx42isqGZf6+v9FpKpwTjsToJuEBEzgH6AVki8hdVvdLd3iwiDwH/7a6XA4Ezdxe4ZeXAKR3K33LLCzqp7zn+YeSWrfHI8Wcv3ba3iakFA7wVE2W8vGY3GalJzC6ObBdRR86YNJg543LZUtlEflaqzWYWJk4dn8eQrH48vngH8yIQOdZTum0ZqOrtqlqgqoXA54A3VPVKt68fN/LnQmCNu8tC4Go3quh4oF5VK4BXgLNEZKDrOD4LeMXdtk9EjnePdTXwXGg/5pGxxZ2cZawZgyPGxhp0js+nvL5+D6eMzyM1yfvQzdSkRCYNyzJDEEaSEhP43KwRvLu5ip010edI7k1H5V9FZDWwGsgFfuqWvwhsBUqA+4CvAqhqDfATYIm7/Ngtw61zv7vPFuClXugKGVuqGklOFEbkhG9UaF9nZE4aImYMOrK6vJ69jS2cPtEGdMUTl810Ok2eXhp9juQeBTar6ls4XTuo6mld1FHgpi62PQg82En5UmBKT7REgq1VjYwalG6RRL2gX3Iiw7L7mxO5A29sqEQE5o4zYxBPDBvQn7nj8nh6WRk3nzEuqnI+2V3uMGypamK0jS/oNYW5aZRWR1+z2Eve2FDJ0SMGkJOe4rUUI8J8duYIKuoP8k4Q+aEiiRmDLmht97G9uokx5i/oNYWDLLw0kMp9B1ldXs9pE6xVEI+cPnEwg9JTeHJxdHUVmTHogp01+2ltV8bkmTHoLUW56dQfaI2JNL6R4K1NzhPhaRN6N+G9EZukJCVw8YzhvL5+D1UNPZt5LpyYMegCfyTRmDzrJuothyKKbCQy4KSgyMtMZeJQG78Sr3z22BG0+ZRnl5d1XzlCmDHogi1VzhiD0dYy6DV+Y7AlRqb/Cyc+n/JByV5mj821VA9xzNj8TI4ZNZAnluzEibnxHjMGXbC1qpHcjFSy+yd7LSXmGZmTRkpiAiVVZgw27G6guqkl4rmIjOjjs8eOYGtVE8u213otBTBj0CVbqpoYbV1EISEpMYGi3HRrGQDvl+wFYLYZg7jn3KOGkp6SyBNRkrzOjEEXbK+2sNJQMnZwBpvNGPBeyV7G5mcwJLuf11IMj0lPTeKC6cN4YVUFDVGQu8uMQSc0HGxlb2MLowaZMQgVxfkZ7KjZz8HWw0+12JdpbmtnUWm1tQqMQ1w2cwQHWtv518oKr6WYMeiM7e4AqcIwTk4ebxTnZ6IKW6viN6Lo4+11HGz1mb/AOMT0EQMYPziTJ5fs8FqKGYPO2OEmkRppxiBk+JP9ba5s8FiJd7xfspfEBOG40TZPgOEgIlx27AhWltWzcbe3/w0zBp3gn5nLuolCR2FuGokJcigteDzyXslephVkk9XPItSMT7hg2jASBP61cpenOswYdML2vfvJzUghI0ITlMcDqUmJjBqUxuY98WkMGg62sqqszrqIjE+Rl5nKSWNzWbhyl6djDswYdML2miZrFYSBsXkZcTvWYOm2WnwKx48e5LUUIwo5f9owdtTsZ2VZvWcazBh0wvbq/Ywyf0HIKR6cwba9TTS3xV9E0Uel1SQnCjNGDvRaihGFnD15CCmJCSxc4V1XkRmDDhxsbaei/iCjcqxlEGomDc2mzadx2VW0aGsN0woG0D/F+1nNjOgju38yc8fn8fyqXbT7vOkqMmPQAf90dIW51jIINZOGZQGwbtc+j5VElqbmNlaX11sUkXFYLpg2jMqGZhaX1nRfOQyYMejANneMgfkMQs+onDTSUxJZVxFfxmDZ9lrafcpxReYvMLrmjImDSUtJ5F+rvOkqMmPQge3+sFKb9zjkJCQIE4dmsXaXd04yL/hoazWJCcIxo8xfYHRN/5RETh2fz2vr9uDzoKvIjEEHtlfvJ6tfEgPSLBY8HEwalsX6igZPfuxesai0hqOGZ5NuocpGN5w5aTBVDc2sLKuL+LnNGHRgW3UThbnplms+TEwamkVjcxs7a+NjTuQDLe2sKqszf4ERFKeOzycxQXht3Z6In9uMQQd21OxnpHURhY3Jw7IBWBsnTuSPd9TS2q4cb/4CIwiy05KZVZgT3cZARBJFZLmIPO+uF4nIIhEpEZEnRSTFLU9110vc7YUBx7jdLd8oImcHlM9zy0pE5LYQfr4e0druo6z2AIXmPA4bxYMzSEyQuIkoWrS1mgSBmYXmLzCC48xJg9lc2ci2vZFN6tiTlsHNwPqA9Z8Dv1HVsUAtcJ1bfh1Q65b/xq2HiEwCPgdMBuYBf3QNTCJwNzAfmARc7taNOOW1B2j3qSWoCyP9khMpzs9gVXl8OJE/Kq1hyvBsMi0fkREkZ04aDMDr6yPbOgjKGIhIAXAucL+7LsBpwDNulUeAC933C9x13O2nu/UXAE+oarOqlgIlwCx3KVHVraraAjzh1o042/1jDKxlEFZmjBrIcjfcsi9zsLWdFTvqOK7I/AVG8IzISWPCkExejXBXUbAtg98C3wF87vogoE5V29z1MmC4+344sBPA3V7v1j9U3mGfrso/hYjcICJLRWRpVVVVkNKDxx9WavMYhJeZowbS0NzW59NZL99RR0u7z8YXGD3mzEmDWbqthtqmloids1tjICLnAZWquiwCeg6Lqv5ZVWeq6sy8vLyQH3/b3v30T04kLzM15Mc2PsEfb790W3RMBB4uFpVWIwLHWsvA6CGnTxyMT+GdzaF/6O2KYFoGJwEXiMg2nC6c04DfAQNExB84XQCUu+/LgREA7vZsoDqwvMM+XZVHnB01TYwalGZhpWFmZE4auRmpLNvex43B1homDskiu7/5C4yecdTwbAamJfP2pigyBqp6u6oWqGohjgP4DVX9PPAmcKlb7RrgOff9Qncdd/sb6iTpXgh8zo02KgKKgcXAEqDYjU5Kcc+xMCSfrodss2ylEUFEmDlqIEu3e5ODJRI0t7Xz8Y5aS1ltHBGJCcLJ4/J4Z1NVxAZo9macwa3ALSJSguMTeMAtfwAY5JbfAtwGoKprgaeAdcDLwE2q2u76Fb4GvIITrfSUWzei+HzKjpr9lpMoQswsHMjOmgNU7jvotZSwsKqsnuY2nw02M46YuePy2NvYErFcXj0aH6+qbwFvue+34kQCdaxzEPhMF/vfAdzRSfmLwIs90RJqdu87SEubz1oGEcLvN1i8rYbzpg7zWE3o+WhLNQCzCs0YGEfGnGLHL/r2piqmDM8O+/lsBLLLoXmPbR6DiHDU8Gyy+iXx9sbI9YlGkkWlNUwYksnA9BSvpRgxSl5mKlOGZ0XsP2LGwGXHodTV1jKIBEmJCZw8Lo+3ItgnGila230s215r4wuMXjN3XB7LdtSy72Br2M9lxsBlW/V+khOFYQP6ey0lbjh1fD5VDc19bn6DVWX1HGht5zhzHhu9ZO64fNp9yvub94b9XGYMXLZXNzFiYBqJCRZWGinmjnf6RN/cUOmxktCyqNT1F1jLwOglM0YOILNfUkRCTM0YuGy3sNKIk5uRyrSCbN7c2MeMwdYaivMzyM2wwYtG70hKTGD22Fze3lSFE6EfPswYAKrK9uomCyv1gFPG57N8Z12fCTFta/exdFuNhZQaIWPuuDwq6g+yubIxrOcxYwDsbWyhqaXdWgYecP60oajC86sqvJYSEtbs2kdTS7vlIzJCxsnj3BDTMEcVmTHASUMBlq3UC8bmZzJ5WBbPLvckA0nIWbTV8RdYy8AIFcMG9Gfc4Aze2hTe7lQzBjgJ6sDCSr3ispkjWF1ezyoP5n0NNYtKaxidm05+Zj+vpRh9iLnj8lhSWktTc1v3lY8QMwY4kUQJAgUDzRh4wUUzhpOWksgjH2z3WkqvaPcpS0rNX2CEnlPG59PS7uMjt+UZDswY4ExqM2xAf1KS7Ovwgqx+yVw2cwTPrShnpzvBUCyyvmIfDc1tlpzOCDkzCwfSPzkxrCGmdvfDspVGA1+eO4aEBOFXr270WsoR439qM+exEWpSkxI5ccwgMwbhxsJKvWdIdj9umDOaf67YxQdbwj/aMhx8uKWaotx0hmSbv8AIPXPH57G9ej+le5vCcvy4Nwb1+1up299qU11GAV89dQxFuenc8uRK9jY2ey2nR7S1+1hcWmNdREbYmHsoxDQ8UUVxbwy2u2GlIy1bqeekpSTxh8uPpu5AC9c+tJjqGDIIa3Y5/oITx5gxMMLDqEHpFA5K450w5SkyY+BmKy3MtZZBNDBleDb3XHkMm/c0csFd70dkGH4o8HdtWcvACCdzx+Xx4ZZqDra2h/zYPZrcpi+yvdrfMjBjEC2cOj6fJ288gf96YjnXPLiY0bnpnDwujxE5aeRlpjIoPYXcjFRG56WTnBgdzzMfbqlm/OBM8jItH5ERPi6YPoy8zFRa2330S04M6bHj3hhsq95PfmYqaSlx/1VEFdNHDOCVb57MPz4u56U1u3l88Q5a2nz/USc9JZHzpg7j66eP9XSMSEubjyXbavjcsSM902DEB8eMyuGYUeEZxxL3d8Ad1fstDUWUkpqUyOWzRnL5rJGoKvUHWtnb2Ex1Ywu79x3kg5Jq/rminBdWV/Cbz07nzEmDPdG5YmcdB1t9nGD+AiOGiY42todsq26yMQYxgIgwIC2FsfmZHDd6EAumD+fnl07l9VvmUpSbzvWPLuXB90o90fbBlr2IwPE2vsCIYeLaGOxvaaOyodmMQQwzIieNp798AmdPHsyPn1/HU0t2RlzDB1uqmTIsm+y05Iif2zBCRVwbgx01/gR11k0Uy/RLTuT3lx/NnOJcbvvHKl5ftydi525qbmPFjjrrIjJinm6NgYj0E5HFIrJSRNaKyI/c8odFpFREVrjLdLdcROT3IlIiIqtEZEbAsa4Rkc3uck1A+TEistrd5/ciEpG5Jy1bad8hNSmRP111DJOHZfONJ5azprw+Iud9r2QvLe0+TnGn8DSMWCWYlkEzcJqqTgOmA/NE5Hh327dVdbq7rHDL5gPF7nIDcA+AiOQAPwCOA2YBPxCRge4+9wDXB+w3r5efKyj8YaWjbMBZnyAtJYkHrpnJgP7JXPfIEnbXh3/2tDfWV5KZmsSxhZap1IhtujUG6uCfby3ZXQ43CmgB8Ki730fAABEZCpwNvKaqNapaC7yGY1iGAlmq+pE6o4seBS488o8UPNtr9jMwLdn6evsQ+Vn9eODaY2k82MZ1jywJa/53n095Y2MlJ4/Pi5rxDoZxpAT1CxaRRBFZAVTi3NAXuZvucLuCfiMi/tE2w4FAL16ZW3a48rJOyjvTcYOILBWRpVVVvc/et726iZHmL+hzTByaxV1XzGB9xT5ufmI57b7wjGBes6ueqoZmTp+QH5bjG0YkCcoYqGq7qk4HCoBZIjIFuB2YABwL5AC3hktkgI4/q+pMVZ2Zl9f7Ptpte/dbgro+yqkT8vnhBZN5fX0lt/19Fb4wGITX11eSIM7EI4YR6/SobauqdcCbwDxVrXC7gpqBh3D8AADlwIiA3QrcssOVF3RSHlaa29qpqD9gkUR9mKtPKOTm04t5elkZ335mVUhbCKrKC6t2MXNUDjnpKSE7rmF4RTDRRHkiMsB93x84E9jg9vXjRv5cCKxxd1kIXO1GFR0P1KtqBfAKcJaIDHQdx2cBr7jb9onI8e6xrgaeC+WH7Iyy2gP4FEZZTqI+zTfPHMc3zxjH3z8u45anVnwqpcWRsqqsni1VTVw0o9MeTcOIOYJJRzEUeEREEnGMx1Oq+ryIvCEieYAAK4Avu/VfBM4BSoD9wBcAVLVGRH4CLHHr/VhVa9z3XwUeBvoDL7lLWNlh2UrjhpvPKCYpUfjFKxup3NfMvVce0+uggX98XEZKUgLnTh0aIpWG4S3dGgNVXQUc3Un5aV3UV+CmLrY9CDzYSflSYEp3WkLJNn9YqXUTxQU3nTqWYQP6ceszq7nonvd56Npjj/jat7T5WLhyF2dNGkxWP4tEM/oGcRsPt716P+kpiQyy/t644aKjC/jLl46jpqmFi/74AUu31XS/Uye8vn4PtftbuWRGQfeVDSNGiGNj4Mx7HKHBzkaUMKsoh2e/ehLZ/ZO54r5FPL20Z7mMVJU/vbOVkTlpzCnODZNKw4g8cWwM9lsaijilKDedf3zlRGYWDuTbz6zihwvX0toenGP5nc17WbmzjutPHk2SDTQz+hBx+Wtu9yk7a/ebvyCOGZiewqNfnMUXTyri4Q+2cfUDi6lpajnsPi1tPu54YR2jBqVx2UzrIjL6FnFpDHbVHaC1XW3AWZyTlJjA/5w/iV99ZhrLdtRywV3vsWx7136EX722kU17Gvn+uZNITQrtlIOG4TVxaQy2u2GlI80YGMAlxxTw9I0noAqX3vshP1y4lsp9nyS5U1XufrOEP729lSuOG8kZHs2oZhjhJC6nvfSHldp0l4afae6cy//34noe/XAbjy/awdzxeeRnprJsey0bdjdw7tSh/PiCyV5LNYywEJfGYEfNflKSEhiS1c9rKUYUkZGaxB0XHcX1c0bz0PulvLN5L0u31VCYm86vPjONi2cMt+gzo88Sl8Zg294mRuakkZBgf2zj0xTmpvOjBREdA2kYnhO3PgNzHhuGYXxC3BkDVWV7TRMjbXYzwzCMQ8SdMahsaOZgq88S1BmGYQQQd8bAH1ZqA84MwzA+Ie6MwaFspTaPgWEYxiHizhhsr24iMUEYPrC/11IMwzCihjg0BvspGNifZEsyZhiGcYi4uyNur97PSOsiMgzD+A/ibtDZmZMGk5+Z6rUMwzCMqCLujME3Ti/2WoJhGEbUEXfdRIZhGManMWNgGIZhdG8MRKSfiCwWkZUislZEfuSWF4nIIhEpEZEnRSTFLU9110vc7YUBx7rdLd8oImcHlM9zy0pE5LYwfE7DMAzjMATTMmgGTlPVacB0YJ6IHA/8HPiNqo4FaoHr3PrXAbVu+W/ceojIJOBzwGRgHvBHEUkUkUTgbmA+MAm43K1rGIZhRIhujYE6NLqrye6iwGnAM275I8CF7vsF7jru9tPFSQK/AHhCVZtVtRQoAWa5S4mqblXVFuAJt65hGIYRIYLyGbhP8CuASuA1YAtQp6ptbpUyYLj7fjiwE8DdXg8MCizvsE9X5Z3puEFElorI0qqqqmCkG4ZhGEEQlDFQ1XZVnQ4U4DzJTwinqMPo+LOqzlTVmXl5eV5IMAzD6JP0KJpIVeuAN4ETgAEi4h+nUACUu+/LgREA7vZsoDqwvMM+XZUbhmEYEaLbQWcikge0qmqdiPQHzsRxCr8JXIrTx38N8Jy7y0J3/UN3+xuqqiKyEHhcRH4NDAOKgcWAAMUiUoRjBD4HXNGdrmXLlu0Vke09+bAB5AJ7j3DfSGI6Q0csaATTGWpM56cZ1VlhMCOQhwKPuFE/CcBTqvq8iKwDnhCRnwLLgQfc+g8Aj4lICVCDc3NHVdeKyFPAOqANuElV2wFE5GvAK0Ai8KCqru1OlKoecT+RiCxV1ZlHun+kMJ2hIxY0gukMNaYzeLo1Bqq6Cji6k/KtOP6DjuUHgc90caw7gDs6KX8ReDEIvYZhGEYYsBHIhmEYRtwagz97LSBITGfoiAWNYDpDjekMElFVrzUYhmEYHhOvLQPDMAwjADMGhmEYhhmDniIiCe6reK0lGEynYfSOWPlt9lanGYMeICILgH+Ck8DPWzVdIyIjRGQMODqj9ccsIueLyEMQ9d/nfBH5f17r6A4ROVpEjvVax+EQkXEi0s9rHd0hIqNEZAJE/X8oV0Sy4ZDOI76nmzEIEhE5E/gRMF5EruuuvleIyDnAS8DdIvISROeP2f0+7wSmisgZXuvpChE5F/gFzmDJqEVE5gEPAQc7lEfNdReRkcAG4CYRGei1nq4QkfnA88BvRGQpRO1/aD7O+Kz7ROQZAFX1HenxzBgEgXuz+i1wM3ArHiXq6w4RORr4GXC9qs4D6kRkAETXk7eInAX8Evgm8BRworeKDss84Fuq+qyIDHAndUr1WlQgInIazsj/61V1daC+3j4thphmYBPO3CXX+n+b0YSInILzX/+Kqs4Hav3zq0TZf+hUnPli/h9wPZDR24nBgklHEbe4TwKZwFzgBlV93/1h3CsiH6jqs94q/BQ+nFxQH4pIAc6cE79w80tdoar7RUS8+lG73+dA4DLga6r6rohUA8+LyLuq+qYXujoj4ClwCDDQfZL9F1AHJIrIXcBLvXkSCwUikoyTIWA1sNu9wf5WROqBdFX9kqr6vLzuflR1j4jcD2wGvgbsE5H1OJNhrfdSGzip+oEU4Euq+p7bkjka+Jabl+0nqrre6+9SnFklJwG3qeprbtkDOJOPHTHR8sQQlbgT++wDfuQagmRVXQfcBpwvIrkeSzx003Kf/nw43Vi/A94Bfg38F9AKPAvePt2432cNnxiCFFVdgtNdNFtEkqLlKdbVqjhdL1NxkjM+oKrn4czpcSOQ7pU+/3VX1VbgaRxf1p3AWmA9TgLJ0SLypFvP86da99oW4SSnXAB8BXiX/8xa7Bluqv5X3d9mKnAD8HtVvQ6oAP7g1vPaqLbgJARdFFC8Gzi+N8eNij9eNCIiJ4nIt0TkPJy02uAk2ANYhfOEO8it6+X3OAScvkJVXQ18D3gU+AD4o6o2qepngHa3heAJIjJXRL7n9nP6syb6v8+NwNnAQP9TrCciOXTdbxGR80RkBM4TdxZO12A9gKr+Giep4nivdOJedwBV3YHTd7wCuENVf66qHwJXAvvdJ96I417z77oO+PFuK+ovQAaQDwx2NY8VkSwvNLo6TxGRn4rIjSIyxS1uAX6tqj8GUNVvAa3ub8IrnYeyjarqTlWtCNh8AOd7RUS+JCI/7unxzRh0gmsA/oRjBBYAVwdGQKjqx0Ap8KCIJHnVVSBOdFO5iPx3QPFynKfDRmCGW+8ynD9fS8RFcshZ/CDQHzgDuEdETvF/b6r6PI6D9g8ikuhhN5b/uo/Amcb1C6q6E3gM53qfJE4E1IVunZ1dHCrcOj913V2DcC//mdbgXJxZAyPu4wi45uk4ae/vcfvjt+G0shYDVwPnA2fhTKcbcdxr/nuc/0YRcIuI5Ae0Yv31Lsd5+Gvs/Ehh13kBUCoi3++iylZgpYh8BqdF80wX9bpGVW0JWHDmWVgKzHLXT8fpFshx1xPc1wLgbn+5BzoLcJ4Gb8WZKvTbHbZ/EacF8xiOgZji4Xd6M/Ad930WzhPrWuCUgDpzcP6UmVF03f8dcN2nAJfgPNk+CUyLtuuOm17GfX+Ne/0nRdk1n4wzz8n5AXX7eaRxpPvfPtFdn4BzEy0MqJPufpdrgMke6czHmVf+dmAZcHsndQbhdBOvAyYe0Xm8+HDRvOA41a8M/IHi9Mee2qFeCpDtoc4E4Gz3/SSgqhODMAnHATbS4+/0BuCRDmVX4sxhMdpd7w/kRuF1P62T654W5dd9iGtYPTEEh7nmV7vXfFTAZ5FAIxZhjYnAxUD/gLK/AVcFrGcDXwUmePhdSoDBKnZv+Ld3qJOO4ycad8Tn8eoDRuOC+9Qf+GNxX//hf5LBmcOhwGOd0vE9MDHwxgAcBwz1+jt1taQAK4FfBpTlAHcBc6JAX1+77llAcpRe87uj5JpLh3X/Nb8bp3sQnGi8qLnmAWV+g/Bdd/0MnJnSUntzLvMZBKCf7vv3fz87gQoROR/4P6A9osI6oO4vwP/ejXJaD5wM3CzOYLO7PBMYgOsDaMGJLT9OnGlPUac/NhnXr+Elfey6340TUtrqlc5urnkS0XHNO/ql/EELO3Cu+bk4E3F5eo/sqNP1UW7G8WVeIiKv4EQ5patqc2/OZeMMOsEfRxzwh6oG7sNxMn1J/9OLH3H8+jrqVCcG+kGcZu2pXugUkXRVbfKvq2q7+wPeJSKXAgtF5DGcp9lTgV9FWqOrcyRQo6qNAWXRft0TNGDMQDRd9w4ao/Kad0bAd+mPbGsG7gd2AV9UxzHvOR11qupmEXkeuAnH93ak88EfIq5bBiIypJMy/412pohc7xZn4fTPXqFO+GZEEZE5IvJ1EblQRHJdfQnu61Q3ugQRmQacgNPP7YXO84BfugN0/GUJqtomIsfhxEGfhDPUfz2wQFU3eaBzAXAPMLqDzmi77meKyJ0icpuIFLiGIKquu4icLiK3i8jlIjLS1ZgShde8MPB36Zb5/+snyiejd1txWqxXqOoaD3R2d0+6zi0bi+PwPj1kOnvTxxTLC07ooA+4tpNtJ+DEP5/prqfSC8dML3XOx+l7/TmOc+uKgG2n4cTBn+SuJ+CRExYnbcPHdHC0u9tmu59hXhRc96k4+XFO6mTbHFdnNFz3c3GiwL4F/BFnBLx/2+nRcN3d399G4H9wBrxtAI5yt50cRdf8Ave/fgsdotVwuqyWAee56ylAkUc6g7knne6uC5AVyvPH5UxnIjIMp59tO85gp5+p6mMB2z+PM0T+Rbdf1pP+VxE5Cidu/Fuq+oEbY9wC/BVnANQ5gE9Vn3b7aT3p0xaRYpwRzveq6l0ikoPzJ2vEuVnMAlJU9V/+pxwvdLpazwQ+r6rXul1FC3CiSv6FE7aZraoLPb7uiTgG4O+q+qqI3IjTinkJJ5XDcUCSqj7l8XW/BRigqv/jrn8d+D5O+pahOP3Ynl5zERmEY6j24jjbXwMeUrd70G3NNqnqmx5f857ck8JyzePVZ1AH3K2qb4iT8OkBEcH/5avqX+GQI8wzRxxOHPnXVHWZOKkvrsVpao/EGQF9s6pWuX82L52b1ThpBfq7XRe34/yo1V2+rqp7vTYELpU4o3IzcEZqL8Z5sn4XmKuqb7s6vbzugtNFdaaIVOI80S4DPgMcC1yqqju8uu4B13Enn4wmR1X/IM7g8cdxWgR7ouCa7wPuUdWlIjITxzCoiDymqvXqDHj0O2a9vOZ1BH9PCs8196I55NWCE389pJPyU3BG8F3trp+MtzHvn9IJXARc474fjpOl8vxI6upC51D3/QCcLIprgRvdshE4zrj5UaAzz32fiXPj/weOMfXX+R+cVA5e6xzsvh+F09p6GvhdQJ1fADd5qTNAy2Cc7qrb3XV/T8NvgXO91hegMyHg/bHAGzgPKOB0w3oWgh1N96S4aRmIyCU4SduSReRZYIWqvgKgqm+5jpm7xckLPwk4Lwp0/gNYqaqvaECGVFUtFxHFuQF7QgedC3FG696Kk8nzVVfnTnHyNuVEic7ncLpaLsLJ3TRARO5WJ0KjCQ/SNnSh81/Ay6p6kRuNMzagquIMhIo44uSVmq+q34BDWUgXAO+5T7H/51ZNAsZ4obEznbhho67zfYmI3Ap8330Cn44Tp++Fzqi6J8WFz8DtN3wdJ0VDK06ulPHAm6r6ZEC9u4DP4l00Tlc631bVvwXUuwQnId0lqro1SnROBp5X1X8G1LsUJ996NOmcgtM9tBZ4AXgVxwicgTPydG2U6JyI48f4yN22EKfr7cvAlaq6IcIaT8RJ1bAL2KCqVwZsG+1u+wDHEJwMXBxpjYfT6e9eCYjM+TXOiPPT1Juooai7J8VLaGkiTt9hqXvhnwDeB04RZ2IQRGQijpPuDC8MQTc6Tw7QeQPwU5wbQsRvsIfR+TZwdoDOK4EfRqHOt4CrcLo4zsHpMtoIfM4LQ3AYne/iJHErBK4AxgHH4IyOjfhNFifdwQ9xwkRTReRx/wb3+s7DMV6rgIs80ghd6HQNQaJrCIbjdLWe5YUhcIm6e1JctAwAxMnxn47TT9zkeu+vBlpU9dcikoYznLs2ynUOwcmN49UNNlid+TjRJKVRqrNdVX/hpbZAutMpIkk4kWOeTaYjIlmqus+NFrvX1XZ54DavtAXSjc4cVa2RDoMjPdIZVfekPt8ykE/mGrgbxxLf6v4QduEkzVogIoNUdb+XhiBInbmquttLQ9ADnZVeGoIgdJ4nUTAPb5A6c1S1zUtDAOC/2auTVuKrQJKI3Csi1wK3SZRMdN+Nzm+LMyjOM0MQrfekPm8MAv5AW3AiSPrjTFuZi9P0bsPps/OUIHV6Mh9BIH1Mp6e5hiBonW1d7O4ZqrpXnUmT/HPxPqGqBz2W9Sk60fk3dfImRRyRQ7PTReU9qc92EwXG4wY4jwpwIluuwfHO5+BMfP2x6TSdpvOwGv15kYYCjaraIM4kP7/GCXH2yt8S9TrFmZe6RVX3B5QlqZOyI3quuUZBHHCoFpwZk24PWA+MLz4VJ2Z7pLuejdOnbTpNp+kMTuNcnCfZInf9HGB8FH6X0aTzfJy8TG/jBAJk8slDeFRc80NavTpxGL70k3FGl27gP3OoJ+JY20U44W6m03SazhjVGGM6z8SZIW0mzujxF4Hj3G2DokWnf+kz3UTizFGagfNE8BTOAI5vBWwfqqoV/mak6TSdpvPINeKk2vcq31DU6xQnv9T/4ISOPuyW3YYzivi/O+r08rfpp88YAwARyVMnV08hThqENar6X+62Aapa56G8Q5jO0GI6Q0csaITY0OmGtgpQ4xZdhTNm4Gp3ez+NIqd7TBsDETkJZ/BQP1V93C3zjzAcjZPx8x2cKeLGAL9WD5JRmU7TGa06Y0FjjOpMUtWnOug8DicV+XVu6yYZ+Kt6m2TyE7zupzrSBccptBanKbYWuLOTOilAOVCLm2fddJpO0xk7GvuSThzfwX18kn14ghc6u9TvtYAj/NKLgaXAbHe9EHgOyIP/mDT8UmAbMNl0mk7TGVsa+5DOBJzuomlAA04Op6gyBKoa04PO7lTV91xHTQOQD+SrOnMDu3UycLIXehYDjekMNaYzvjRC7Ov0qWMhNuHknLpRvcvd1DVeW6MeWt+ROP1syQFlfr/HX/gkrni66TSdpjM2NfZlnTi5hjzTe7glZloGInIuTpzuH4G/iMgEd5N/ToYcIF2cbJlPi0h+wFOD6TSdca8zFjT2YZ3PuBFQzZHWGTReW6MgLK/gzJi1Gmf2n8E4k4RXENA/CDyIk8f8PbzpgzWdpjMqdcaCRtPp/eK5gCC//ESc0LHhfNIEuxknemC8u/4roAQPHTOm03RGq85Y0Gg6vV08F9DNFz4WZ87SQcCTwHc6bP8O8Ih7YeYDo02n6TSdsaXRdEbH4rmAw3zp5+HMmvQ2cBdwAU7oWGByqkLgPtNpOk1nbGo0ndGz+B0dUYU485j+ArhCVZeLyJ+BWcCJwEdu6NYTwGzgaHFnLzKdptN0xo5G0xlleG2NurDAJwLXBqznAS+470fjOGb+CCzDo9GGptN0RrPOWNBoOqNr8VxAF198IpAV8L4AWA4MdctG4YRvZZtO02k6Y1Oj6YyuJSrHGahqu34yubYAdUCNOulerwS+izPIo94rjWA6Q43pjC+NYDqjiZjJWioiD+PE8Z6F01xb7a2izjGdocV0ho5Y0Aim0yui3hi4IwuTcbL8JQOnq+pmb1V9GtMZWkxn6IgFjWA6vSbqjYEfEbkWWKLeJqLqFtMZWkxn6IgFjWA6vSKWjIFoDIg1naHFdIaOWNAIptMrYsYYGIZhGOEjKqOJDMMwjMhixsAwDMMwY2AYhmGYMTAMwzAwY2AYQSEi7SKyQkTWishKEfmWiBz2/yMihSJyRaQ0GkZvMGNgGMFxQFWnq+pk4EycXPU/6GafQsCMgRETWGipYQSBiDSqakbA+mhgCZCLk6TsMSDd3fw1Vf1ARD4CJgKlOBOe/B74Gc5UianA3ar6p4h9CMM4DGYMDCMIOhoDt6wOGA80AD5VPSgixcDfVHWmiJwC/LeqnufWvwHIV9Wfikgq8D7wGVUtjeBHMYxOicrJbQwjxkgG7hKR6UA7MK6LemcBU0XkUnc9GyjGaTkYhqeYMTCMI8DtJmoHKnF8B3uAaTh+uINd7QZ8XVVfiYhIw+gB5kA2jB4iInnAvcBdbm6abKBCVX3AVTiTn4DTfZQZsOsrwFdEJNk9zjgRSccwogBrGRhGcPQXkRU4XUJtOA7jX7vb/gj8XUSuBl4GmtzyVUC7iKwEHgZ+hxNh9LGbBrkKuDAy8g3j8JgD2TAMw7BuIsMwDMOMgWEYhoEZA8MwDAMzBoZhGAZmDAzDMAzMGBiGYRiYMTAMwzCA/w9wU3iYxlGH6QAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Hodrick-Prescott filter\n",
    "import statsmodels.api as sm\n",
    "\n",
    "# Trend vs Noise last n days\n",
    "ts_noise, ts_trend = sm.tsa.filters.hpfilter(btc_prices['Adj Close'][-365:])\n",
    "ts_trend.plot(rot=45, title='BTC Close Trend')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'BTC Close Noise'}, xlabel='Date'>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_noise.plot(rot=45, title = 'BTC Close Noise')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-15.492363730888624,\n",
       " 2.475397812891686e-28,\n",
       " 9,\n",
       " 2678,\n",
       " {'1%': -3.432794204326531,\n",
       "  '5%': -2.862619868040959,\n",
       "  '10%': -2.567344850230434},\n",
       " -9724.686169047716)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply the Augmented Dickey-Fuller test to determine if the above daily return is stationary\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "adfuller(btc_prices['daily_return'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.01955352942802737"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Autocorrelation lag 1\n",
    "btc_prices['daily_return'].autocorr(lag=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.00957512153954806"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Autocorrelation lag 30\n",
    "btc_prices['daily_return'].autocorr(lag=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot autocorrelation at different lags\n",
    "plot_acf(btc_prices['daily_return'], lags=30, zero = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot partial autocorrelation\n",
    "sm.graphics.tsaplots.plot_pacf(btc_prices['daily_return'], alpha=0.05,lags=30, zero=False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## ETH Autocorrelation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "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>Adj Close</th>\n",
       "      <th>daily_return</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>2022-01-22</th>\n",
       "      <td>2405.181152</td>\n",
       "      <td>-0.059716</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-23</th>\n",
       "      <td>2535.039063</td>\n",
       "      <td>0.053991</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-24</th>\n",
       "      <td>2440.352295</td>\n",
       "      <td>-0.037351</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-25</th>\n",
       "      <td>2455.935059</td>\n",
       "      <td>0.006385</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-26</th>\n",
       "      <td>2468.030273</td>\n",
       "      <td>0.004925</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Adj Close  daily_return\n",
       "Date                                 \n",
       "2022-01-22  2405.181152     -0.059716\n",
       "2022-01-23  2535.039063      0.053991\n",
       "2022-01-24  2440.352295     -0.037351\n",
       "2022-01-25  2455.935059      0.006385\n",
       "2022-01-26  2468.030273      0.004925"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Read in ETH prices\n",
    "eth_prices = pd.read_csv('/Users/draganbogatic/Documents/Fin_Tech/crypto-analysis/resources/ETH-USD.csv', usecols=['Date','Adj Close'], parse_dates=True)\n",
    "eth_prices = eth_prices.set_index('Date')\n",
    "eth_prices['daily_return'] = eth_prices['Adj Close'].pct_change()\n",
    "eth_prices = eth_prices.dropna()\n",
    "eth_prices.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "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>Adj Close</th>\n",
       "      <th>daily_return</th>\n",
       "      <th>lag_return</th>\n",
       "      <th>return_diff</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2022-01-22</th>\n",
       "      <td>2405.181152</td>\n",
       "      <td>-0.059716</td>\n",
       "      <td>-0.147674</td>\n",
       "      <td>0.087958</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-23</th>\n",
       "      <td>2535.039063</td>\n",
       "      <td>0.053991</td>\n",
       "      <td>-0.059716</td>\n",
       "      <td>0.113707</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-24</th>\n",
       "      <td>2440.352295</td>\n",
       "      <td>-0.037351</td>\n",
       "      <td>0.053991</td>\n",
       "      <td>-0.091342</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-25</th>\n",
       "      <td>2455.935059</td>\n",
       "      <td>0.006385</td>\n",
       "      <td>-0.037351</td>\n",
       "      <td>0.043737</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2022-01-26</th>\n",
       "      <td>2468.030273</td>\n",
       "      <td>0.004925</td>\n",
       "      <td>0.006385</td>\n",
       "      <td>-0.001461</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              Adj Close  daily_return  lag_return  return_diff\n",
       "Date                                                          \n",
       "2022-01-22  2405.181152     -0.059716   -0.147674     0.087958\n",
       "2022-01-23  2535.039063      0.053991   -0.059716     0.113707\n",
       "2022-01-24  2440.352295     -0.037351    0.053991    -0.091342\n",
       "2022-01-25  2455.935059      0.006385   -0.037351     0.043737\n",
       "2022-01-26  2468.030273      0.004925    0.006385    -0.001461"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Calculate lagged return\n",
    "eth_prices['lag_return'] = eth_prices['daily_return'].shift()\n",
    "eth_prices['return_diff'] = eth_prices['daily_return'].diff()\n",
    "eth_prices.tail()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 1.0, 'ETH Daily vs Lagged Return')"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Scatter plot of lagged return vs daily_return\n",
    "x = eth_prices['lag_return']\n",
    "y = eth_prices['daily_return']\n",
    "plt.scatter(x, y)\n",
    "plt.title('ETH Daily vs Lagged Return')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'ETH 365-day returns'}, xlabel='Date', ylabel='ETH daily return'>"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot of last 365 days of daily return\n",
    "eth_prices['daily_return'][-365:].plot(title='ETH 365-day returns', rot=45, ylabel='ETH daily return')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'ETH Close Trend'}, xlabel='Date'>"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Trend vs Noise \n",
    "# Hodrick-Prescott filter\n",
    "import statsmodels.api as sm\n",
    "\n",
    "ts_noise, ts_trend = sm.tsa.filters.hpfilter(eth_prices['Adj Close'][-365:])\n",
    "ts_trend.plot(rot=45, title='ETH Close Trend')\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot:title={'center':'ETH Close Noise'}, xlabel='Date'>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_noise.plot(rot=45, title = 'ETH Close Noise')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-11.498294899788084,\n",
       " 4.556938306169594e-21,\n",
       " 9,\n",
       " 1529,\n",
       " {'1%': -3.434634049963598,\n",
       "  '5%': -2.863432142744973,\n",
       "  '10%': -2.5677773493449725},\n",
       " -4675.785138270634)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Apply the Augmented Dickey-Fuller test to determine if the above daily return is stationary\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "adfuller(eth_prices['daily_return'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-0.04326831986031416"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Autocorrelation lag 1\n",
    "eth_prices['daily_return'].autocorr(lag=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.02452844127292927"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Autocorrelation lag 30\n",
    "eth_prices['daily_return'].autocorr(lag=30)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot autocorrelation at different lags\n",
    "plot_acf(eth_prices['daily_return'], lags=30, zero = False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot partial autocorrelation\n",
    "sm.graphics.tsaplots.plot_pacf(eth_prices['daily_return'], lags=30, zero=False)"
   ]
  }
 ],
 "metadata": {
  "interpreter": {
   "hash": "1983e9b0aa755e6be769004baa96f14bf9125153bf3cb18ede9411448e855cf2"
  },
  "kernelspec": {
   "display_name": "Python 3.7.9 64-bit ('algotrading': conda)",
   "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": "3.7.9"
  },
  "orig_nbformat": 4
 },
 "nbformat": 4,
 "nbformat_minor": 2
}