Statsmodels Introduction.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "eecc8735",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "from statsmodels.tsa.filters.hp_filter import hpfilter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a44e1ff6",
   "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>year</th>\n",
       "      <th>quarter</th>\n",
       "      <th>realgdp</th>\n",
       "      <th>realcons</th>\n",
       "      <th>realinv</th>\n",
       "      <th>realgovt</th>\n",
       "      <th>realdpi</th>\n",
       "      <th>cpi</th>\n",
       "      <th>m1</th>\n",
       "      <th>tbilrate</th>\n",
       "      <th>unemp</th>\n",
       "      <th>pop</th>\n",
       "      <th>infl</th>\n",
       "      <th>realint</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1959-03-31</th>\n",
       "      <td>1959</td>\n",
       "      <td>1</td>\n",
       "      <td>2710.349</td>\n",
       "      <td>1707.4</td>\n",
       "      <td>286.898</td>\n",
       "      <td>470.045</td>\n",
       "      <td>1886.9</td>\n",
       "      <td>28.98</td>\n",
       "      <td>139.7</td>\n",
       "      <td>2.82</td>\n",
       "      <td>5.8</td>\n",
       "      <td>177.146</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-06-30</th>\n",
       "      <td>1959</td>\n",
       "      <td>2</td>\n",
       "      <td>2778.801</td>\n",
       "      <td>1733.7</td>\n",
       "      <td>310.859</td>\n",
       "      <td>481.301</td>\n",
       "      <td>1919.7</td>\n",
       "      <td>29.15</td>\n",
       "      <td>141.7</td>\n",
       "      <td>3.08</td>\n",
       "      <td>5.1</td>\n",
       "      <td>177.830</td>\n",
       "      <td>2.34</td>\n",
       "      <td>0.74</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-09-30</th>\n",
       "      <td>1959</td>\n",
       "      <td>3</td>\n",
       "      <td>2775.488</td>\n",
       "      <td>1751.8</td>\n",
       "      <td>289.226</td>\n",
       "      <td>491.260</td>\n",
       "      <td>1916.4</td>\n",
       "      <td>29.35</td>\n",
       "      <td>140.5</td>\n",
       "      <td>3.82</td>\n",
       "      <td>5.3</td>\n",
       "      <td>178.657</td>\n",
       "      <td>2.74</td>\n",
       "      <td>1.09</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-12-31</th>\n",
       "      <td>1959</td>\n",
       "      <td>4</td>\n",
       "      <td>2785.204</td>\n",
       "      <td>1753.7</td>\n",
       "      <td>299.356</td>\n",
       "      <td>484.052</td>\n",
       "      <td>1931.3</td>\n",
       "      <td>29.37</td>\n",
       "      <td>140.0</td>\n",
       "      <td>4.33</td>\n",
       "      <td>5.6</td>\n",
       "      <td>179.386</td>\n",
       "      <td>0.27</td>\n",
       "      <td>4.06</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1960-03-31</th>\n",
       "      <td>1960</td>\n",
       "      <td>1</td>\n",
       "      <td>2847.699</td>\n",
       "      <td>1770.5</td>\n",
       "      <td>331.722</td>\n",
       "      <td>462.199</td>\n",
       "      <td>1955.5</td>\n",
       "      <td>29.54</td>\n",
       "      <td>139.6</td>\n",
       "      <td>3.50</td>\n",
       "      <td>5.2</td>\n",
       "      <td>180.007</td>\n",
       "      <td>2.31</td>\n",
       "      <td>1.19</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            year  quarter   realgdp  realcons  realinv  realgovt  realdpi  \\\n",
       "1959-03-31  1959        1  2710.349    1707.4  286.898   470.045   1886.9   \n",
       "1959-06-30  1959        2  2778.801    1733.7  310.859   481.301   1919.7   \n",
       "1959-09-30  1959        3  2775.488    1751.8  289.226   491.260   1916.4   \n",
       "1959-12-31  1959        4  2785.204    1753.7  299.356   484.052   1931.3   \n",
       "1960-03-31  1960        1  2847.699    1770.5  331.722   462.199   1955.5   \n",
       "\n",
       "              cpi     m1  tbilrate  unemp      pop  infl  realint  \n",
       "1959-03-31  28.98  139.7      2.82    5.8  177.146  0.00     0.00  \n",
       "1959-06-30  29.15  141.7      3.08    5.1  177.830  2.34     0.74  \n",
       "1959-09-30  29.35  140.5      3.82    5.3  178.657  2.74     1.09  \n",
       "1959-12-31  29.37  140.0      4.33    5.6  179.386  0.27     4.06  \n",
       "1960-03-31  29.54  139.6      3.50    5.2  180.007  2.31     1.19  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df = pd.read_csv('Data/macrodata.csv',index_col=0,parse_dates=True)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "550a2e47",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(203, 14)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "1c75d2f7",
   "metadata": {},
   "outputs": [
    {
     "data": {
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OlK+vr9auXes6lpeXp4yMDA0bNkySlJSUJKvVqs2bN7vGbNq0SVartd6YjIwM5eXlucasWbNGZrNZAwcOdPdlAQAAAIAMw9BDy3epxu5UUqcI/fHanvLxbvClxAD5nO0LKioqdODAAdf3WVlZSk9PV3h4uOLi4nTjjTdq27Zt+uijj+RwOFyz4+Hh4fLz85PFYtFdd92lWbNmKSIiQuHh4Zo9e7Z69+6t0aNHS5J69OihK6+8UlOmTNFLL70kSbr77ruVnJysbt26SZLGjBmjxMREpaSk6Mknn1RxcbFmz56tKVOmMKMOAAAAoEEs23JEGw8Vyd/XS3+5ofePPrILuNtZbxX33//+V5dddtkpxydPnqzHHntMHTt2PO3rvvzyS40cOVLSyYXsHnjgAb311luqrq7WqFGj9Pzzz9dbQK64uFgzZszQypUrJUnjxo3T4sWLXavWS1JOTo6mTZumL774QgEBAZo4caKeeuopmc3mM7oWtooDAAAAcKbyrTW6YtE6ldfW6fdX99CvLunk6Uhogs61h57XPu9NHeUdAAAAwJkwDENTXt+qzzIL1S8+VMt/PUzeXsy64+w12n3eAQAAAKCpW7kjV59lFsrX26QnbuxDcccFd9bPvAMAAABAS+FwGnpx3UEtWrtPkvTbyxLUNSbYw6nQElHeAQAAAOA0CspqdN/b6dpwsEiSNK5vnH49srOHU6GlorwDAAAAwP+wO5xanZGvRz/IUEmVXQG+3pp3bU/dNLAtq8vDYyjvAAAAAFo8wzC0O7dMy7cd1cr0XBVV2iRJPeNC9Ldb+qtzVCsPJ0RLR3kHAAAA0GLU1jn0QXqu3k07qrJqu+qchuocTlXZHCosr3WNi2zlp1sGt9NvL+8is4+3BxMDJ1HeAQAAADR75TV2/Xtzjl5dn6WCstrTjvHz8dKYxBjdMKCtLk6IlK83m3Oh8aC8AwAAAGi2Cstq9K8Nh/VGarbKa+okSTEhZt05vKMS40Lk4+UlX2+TvL1M6hzdSiH+vh5ODJwe5R0AAABAs3PoeIVe/vqQlqcdk83hlCR1jgrS1BGddV2/NvLzYVYdTQvlHQAAAECzUWN3aN6He7RsS44M4+Sxge3DdM+IzhrVPVpeXqwWj6aJ8g4AAACgWcg6Ualpb25TZl6ZJGl0j2jdM6KzBnUI93Ay4PxR3gEAAAA0eZ/sytMD7+5URW2dIlv56a8399fwLpGejgW4DeUdAAAAQKNVY3fo88xCtfL30aD2YQoyf19hausc2niwSCvTc/Xe9mOSpIs6hGnxxAGKCfH3VGSgQVDeAQAAAHhMjd2hoyXV6hgZJO//eR7dMAytzsjX46sydbSkWpLk7WVSrzYWDe4Qpjxrjf777XFV1Na5XjP10k6aPbYbW7yhWaK8AwAAALjgbHVOvb0lR899cUCF5bUKDfTVpQlRurx7tOLDA/TUp/u08VCRJCk62Cw/Hy8dLanWjiOl2nGk1PU+0cFmjekZo+v6teHZdjRrlHcAAAAAF4zd4dQH6bl69rN9rhl1L5NUWmXXyh25Wrkj1zXW7OOlqZd20j0jOyvQz0fHSqu1OatIWw+XyBLgqysSY9S3bSgryKNFMBnGdxsotDxlZWWyWCyyWq0KCQnxdBwAAACgWXE6DT2+KlNbDhertMqukiqbymu+v809Ktis6Zd30U0D45WRa9UXewv15d5C7S+s0NieMZp7VQ/Fhwd68AoA9zvXHkp5p7wDAAAADeLdtKOa/c6OU46HB/lp6qWdNCmpgwL8vE8573QazKaj2TrXHspt8wAAAADcrqzGrr98kilJ+tXFHXVV71iFBvopLNBPlgDfeovT/RDFHTgV5R0AAACA2z27dr9OVNjUKSpID17ZXX4+rAAPnA9+BwEAAABwq2/zy/XaxsOSpMeu6UlxB9yA30UAAAAA3MYwDP1hZYYcTkNX9ozVpV2jPB0JaBYo7wAAAADc5qOdeUo9VCyzj5d+n9zD03GAZoNn3gEAAACcl9o6h3bnlmlbdon+8dUhSdJvLuuitmFs8wa4C+UdAAAAwDk5fKJSc9/bpbTsEtkcTtfx9hGBuvvSTh5MBjQ/lHcAAAAAZ63O4dSMZdu186hV0sm92we0C9OA9qG6aWC8/H1P3b8dwLmjvAMAAAA4a6+sz9LOo1aF+PvoP/ckqVtMsEwm9mcHGgrlHQAAAMBZOVBYoUVr90mSHklOVPfYEA8nApo/VpsHAAAAcMYcTkMPvrtDtjqnLu0apRsHtvV0JKBFoLwDAAAAOGNLNhzWtpxStTL7aMEve3OrPHCBUN4BAAAAnJHDJyr15Kd7JUlzf9FdbUIDPJwIaDko7wAAAAB+VkmlTXcv3aoau1PDOkdo4uB2no4EtCiUdwAAAAA/qbzGrsn/2qx9BRWKCTHryZv6crs8cIFR3gEAAAD8qBq7Q3e9tlU7j1oVHuSnN381hNvlAQ+gvAMAAAA4LVudU79+I02bs4oVbPbR63cOVpfoYE/HAlok9nkHAAAAcIrc0mrNWb5TX+8/IX9fL/3zjovUq43F07GAFovyDgAAAMDF6TT01uYc/eWTvaqorZOfj5deShmkizqEezoa0KJR3gEAAABIkg4dr9BD7+3S5qxiSdKAdqFaeEMfJcRwqzzgaZR3AAAAoIUzDEP/2XpEj63co2q7QwG+3nrwym6alNRB3l6sKg80BpR3AAAAoAUrq7Hr4fd26aOdeZKkYZ0jtPCGPooPD/RwMgD/i/IOAAAAtFDpR0o1/d/bdKS4Wj5eJs0a001TL+0kL2bbgUaH8g4AAAC0QDuOlGr8ixtlczjVNixAf7ulvwa0C/N0LAA/gvIOAAAAtDCVtXW6d9l22RxOXdo1Ss/d0l+WAF9PxwLwE7w8HQAAAADAhfXYyt06XFSlOIu/nruZ4g40BZR3AAAAoAX5eGee3kk7Ki+T9MyEfrIEUtyBpoDyDgAAALQQx0qrNfe9nZKkaSO7aEinCA8nAnCmKO8AAABAC+BwGrrv7XSV1dSpX3yo7h2d4OlIAM4C5R0AAABo5gzD0KMfZGhzVrGC/Lz115v7ydebKgA0JfyOBQAAAJoxwzC04JO9enNTjkwm6Ykb+6p9RJCnYwE4S5R3AAAAoBn72+cH9I+vDkmS/vLL3rq6T2sPJwJwLijvAAAAQDP18leH9Mxn+yRJjyYnasJF7TycCMC58vF0AAAAAADu5XAaeu6L/Xr2s/2SpNljuurOizt6OBWA80F5BwAAAJqR3NJqzXw7XZuziiVJvx7ZWb+5rIuHUwE4X5R3AAAAoJlYnZGnOct3yVptV5Cft/58fS9d37+tp2MBcIOzfub9q6++0jXXXKO4uDiZTCa9//779c4bhqHHHntMcXFxCggI0MiRI7V79+56Y2prazV9+nRFRkYqKChI48aN09GjR+uNKSkpUUpKiiwWiywWi1JSUlRaWlpvTE5Ojq655hoFBQUpMjJSM2bMkM1mO9tLAgAAAJq0aptDD6/YpXve2CZrtV1921r08YxLKO5AM3LW5b2yslJ9+/bV4sWLT3v+iSee0KJFi7R48WJt2bJFsbGxuuKKK1ReXu4aM3PmTK1YsULLli3T+vXrVVFRoeTkZDkcDteYiRMnKj09XatXr9bq1auVnp6ulJQU13mHw6Grr75alZWVWr9+vZYtW6bly5dr1qxZZ3tJAAAAQJOVmVemcYvX661NOZKke0Z01jv3DFOHSLaDA5oTk2EYxjm/2GTSihUrdN1110k6OeseFxenmTNnas6cOZJOzrLHxMRo4cKFmjp1qqxWq6KiorR06VJNmDBBkpSbm6v4+HitWrVKY8eOVWZmphITE5WamqohQ4ZIklJTU5WUlKS9e/eqW7du+uSTT5ScnKwjR44oLi5OkrRs2TLdfvvtKiwsVEhIyM/mLysrk8VikdVqPaPxAAAAQGNhGIZe35itx1dlylbnVFSwWc+M76eLEyI9HQ3ATzjXHurWreKysrKUn5+vMWPGuI6ZzWaNGDFCGzZskCSlpaXJbrfXGxMXF6devXq5xmzcuFEWi8VV3CVp6NChslgs9cb06tXLVdwlaezYsaqtrVVaWtpp89XW1qqsrKzeFwAAANDUZBdV6o4lW/SHlbtlq3Pq8u7RWn3vJRR3oBlz64J1+fn5kqSYmJh6x2NiYpSdne0a4+fnp7CwsFPGfPf6/Px8RUdHn/L+0dHR9cb88HPCwsLk5+fnGvNDCxYs0Lx5887hygAAAADPq7Y59Px/D+ildYdkczjl5+2lub/ortuHdZDJZPJ0PAANqEFWm//hHxyGYfzsHyY/HHO68ecy5n/NnTtX999/v+v7srIyxcfH/2QuAAAAoDFYsztf8z7co2Ol1ZKkSxIi9YdreqpLdCsPJwNwIbi1vMfGxko6OSveunVr1/HCwkLXLHlsbKxsNptKSkrqzb4XFhZq2LBhrjEFBQWnvP/x48frvc+mTZvqnS8pKZHdbj9lRv47ZrNZZrP5PK4QAAAAuPBeXZ+lP320R5LUJjRAjyT30Niescy2Ay2IW59579ixo2JjY7V27VrXMZvNpnXr1rmK+cCBA+Xr61tvTF5enjIyMlxjkpKSZLVatXnzZteYTZs2yWq11huTkZGhvLw815g1a9bIbDZr4MCB7rwsAAAAwGP+/uUBV3G/fVgHfXb/CF3ZqzXFHWhhznrmvaKiQgcOHHB9n5WVpfT0dIWHh6tdu3aaOXOm5s+fr4SEBCUkJGj+/PkKDAzUxIkTJUkWi0V33XWXZs2apYiICIWHh2v27Nnq3bu3Ro8eLUnq0aOHrrzySk2ZMkUvvfSSJOnuu+9WcnKyunXrJkkaM2aMEhMTlZKSoieffFLFxcWaPXu2pkyZwsrxAAAAaPIMw9DTa/Zp8Zcnf/a+b3RXzRjVhdIOtFBnXd63bt2qyy67zPX9d8+QT548WUuWLNGDDz6o6upqTZs2TSUlJRoyZIjWrFmj4OBg12ueeeYZ+fj4aPz48aqurtaoUaO0ZMkSeXt7u8a8+eabmjFjhmtV+nHjxtXbW97b21sff/yxpk2bpuHDhysgIEATJ07UU089dfa/CgAAAEAjYhiGHv84U6+sz5Ikzb2qu6aO6OzhVAA86bz2eW/q2OcdAAAAjdHTa77Vc1+cnHH/47U9NSmpg2cDAXCbc+2hDbLaPAAAAIBz80Zqtqu4P359L906pL2HEwFoDNy6YB0AAACAc/fp7nw9+kGGJGnm6ASKOwAXyjsAAADQCGw9XKwZ/94upyHdMjhe945K8HQkAI0I5R0AAADwsI0Hi3TXa1tVW+fUqO7R+tO1vVhVHkA9PPMOAAAAeMiR4iot+CRTq3blS5L6xYfquYn95ePNHBuA+ijvAAAAwAVWZavT818e1D++PiRbnVNeJunWIe01e2w3BfrxIzqAU/EnAwAAAHABZRdVasrrW7WvoEKSNKxzhB69JlHdY9m6GMCPo7wDAAAAF8jX+4/rt29tl7Xaruhgs/50XS+NSYzh+XYAP4vyDgAAADQwwzD0ytdZWvBJppzGyWfbX0oZqJgQf09HA9BEUN4BAACABnSiolZ/+GC3Pt6VJ0m6aWBb/em6XvL39fZwMgBNCeUdAAAAaACGYWj5tmP688d7VFpll7eXSY8mJ2pSUntukwdw1ijvAAAAgJvlFFXp4RW7tP7ACUlSYusQ/eWG3urTNtTDyQA0VZR3AAAAwI2yTlTq2sXrVVZTJ7OPl2aO7qpfXdJRvuzdDuA8UN4BAAAAN6mordPdr29VWU2derex6Llb+qtDZJCnYwFoBijvAAAAgBsYhqHZ/9mh/YUVigkx69XJgxTNavIA3IR7dwAAAAA3+PuXB7R6d778vL30wm0DKe4A3IryDgAAAJynL/YW6Om1+yRJf7y2pwa0C/NwIgDNDbfNAwAAAOeosrZOS1OztfiLAzIM6dYh7XTz4HaejgWgGaK8AwAAAGepvMau1zdm65WvD6mkyi5JGtIxXH+4pqeHkwForijvAAAAwBkqq7HrtW8O65X1WbJWnyztHSOD9NvLuujafnHyYTs4AA2E8g4AAAD8DGuVXf/8Jkv//CZL5TV1kqROUUGacXmCkvu0prQDaHCUdwDwLgyMAAAgAElEQVQAAOBH1NY59M/1h/X8lwdUXnuytCdEt9L0UQm6undreXuZPJwQQEtBeQcAAABOY92+45q3crcOnaiUJHWLCdaMUQm6qlesvCjtAC4wyjsAAAAgyTAMHS+v1f7CCr224bDW7CmQJEW2MmvuVd11ff82lHYAHkN5BwAAQIvidBo6VlqtA4UVOlBYof2F5f//vxWu59klydvLpDuGddC9oxMU7O/rwcQAQHkHAABAC7I5q1j3vZ2uY6XVpz3vZZLaRwSpVxuLpl/eRV1jgi9wQgA4Pco7AAAAmj3DMPTK11n6y+q9cjgN+Xqb1CmylbpEf/+VENNKHSKC5O/r7em4AHAKyjsAAACatfIaux54Z6dW786XJF3bL07zr++tIDM/CgNoOvgTCwAAAM2S3eHUql15evaz/co6USlfb5MeTU7UbUPby2Ri4TkATQvlHQAAAM2KtdquZZtztGTDYeVZayRJcRZ//f3WAerfLszD6QDg3FDeAQAA0Gy8v/2YfrdilyptDklSZCs/pQztoMnD2is00M/D6QDg3FHeAQAA0Cy8tuGw/rBytySpa0wr/eriThrXL44F6AA0C5R3AAAANGmGYei5Lw5o0dp9kqTbh3XQo8mJ8vLiuXYAzQflHQAAAE2W02no8VWZenV9liRp5ugE3TsqgQXpADQ7lHcAAAA0ScfLa/W7Fbu0Zk+BJOnR5ETdeXFHD6cCgIZBeQcAAECTYhiG3k8/pnkf7lFplV0+Xib95YY+unFgW09HA4AGQ3kHAABAk5FvrdHvVuzS53sLJUk940L0xI191DPO4uFkANCwKO8AAABoEnYcKdVdr23RiQqb/Ly9dO/oBN19aSf5ent5OhoANDjKOwAAABq9zzML9Nu3tqva7lCP1iH668391DUm2NOxAOCCobwDAACgUXtzU7YeeT9DTkO6tGuUnr91gFqZ+TEWQMvCn3oAAABolHKKqvTPb7K0ZMNhSdL4QW31+PW9uU0eQItEeQcAAECjUVhWo4925mnljlylHyl1HWf/dgAtHeUdAAAAHmUYhlIPFev1jYe1Zk+BHE5DkuRlkoZ3iVTK0PYa0zPWsyEBwMMo7wAAALigHE5DheU1OlZSrd25ZXpzU7b2FVS4zvdvF6pr+8bpF31aKzrY34NJAaDxoLwDAACgwTmchv65PktvbsrWsdJq2R1GvfMBvt765YA2mpTUQd1iWUUeAH6I8g4AAIAGlXWiUrPf2aG07BLXMR8vk2It/mobFqArEmN148C2sgT4ejAlADRulHcAAAA0CKfT0GsbD2vh6r2qsTvVyuyjub/orsu6RSsmxF/eXiw+BwBnivIOAAAAt8spqtID7+7QpqxiSdLFXSK18MY+ahMa4OFkANA0Ud4BAADgNoZh6M1NOZq/KlNVNocC/bw19xc9dNuQdmzzBgDngfIOAAAAt8gtrdac5Tv19f4TkqTBHcP11I191S4i0MPJAKDpo7wDAADgvBiGoXfTjuqPH+5ReW2dzD5emnNld90+rIO8eK4dANyC8g4AAIBzdry8VnPf26XPMgskndyj/emb+qpTVCsPJwOA5oXyDgAAgHPyya48/e79DBVX2uTrbdJ9V3TV1Es7s4o8ADQAyjsAAADOirXarsdW7taK7cckSd1jg7VofD8lxoV4OBkANF+UdwAAAJyxr/Yd14Pv7lR+WY28TNI9Izrr3tEJMvt4ezoaADRrXu5+w7q6Ov3+979Xx44dFRAQoE6dOumPf/yjnE6na4xhGHrssccUFxengIAAjRw5Urt37673PrW1tZo+fboiIyMVFBSkcePG6ejRo/XGlJSUKCUlRRaLRRaLRSkpKSotLXX3JQEAADRqTqeh7KJKHSgsd30dPF6hOofz5198BuocTqUfKdXDK3Zp0j83K7+sRh0iAvXOPcP04JXdKe4AcAG4feZ94cKFevHFF/Xaa6+pZ8+e2rp1q+644w5ZLBbde++9kqQnnnhCixYt0pIlS9S1a1f9+c9/1hVXXKFvv/1WwcHBkqSZM2fqww8/1LJlyxQREaFZs2YpOTlZaWlp8vY++RfExIkTdfToUa1evVqSdPfddyslJUUffvihuy8LAACg0TAMQ5l55Uo9VKTUQ0XafLhYpVX2U8a1jwjUg2O76xe9Y89qj3Wn09CevDKlHirSxoNF2pxVrPLaOtf5SUnt9dBV3RXox02cAHChmAzDMNz5hsnJyYqJidGrr77qOnbDDTcoMDBQS5culWEYiouL08yZMzVnzhxJJ2fZY2JitHDhQk2dOlVWq1VRUVFaunSpJkyYIEnKzc1VfHy8Vq1apbFjxyozM1OJiYlKTU3VkCFDJEmpqalKSkrS3r171a1bt5/NWlZWJovFIqvVqpAQntECAACN36HjFXrovV3anFVc77jZx0sBft/PgFfbHKqtOznzPqBdqH53dQ8NbB/+o++bZ63Wpxn52nCwSJuyimWtrv+PASH+PhrSKUK3D+ug4V0i3XhFANCynGsPdfs/l1588cV68cUXtW/fPnXt2lU7duzQ+vXr9eyzz0qSsrKylJ+frzFjxrheYzabNWLECG3YsEFTp05VWlqa7HZ7vTFxcXHq1auXNmzYoLFjx2rjxo2yWCyu4i5JQ4cOlcVi0YYNG05b3mtra1VbW+v6vqyszN2XDwAA0CDqHE69/HWWnvlsn2x1Tpl9vDS0U8T/f4WrVxuLfL2/fyKysrZO//jqkP7x1SFtyynVDS9s1MVdIjWmZ4xG9YhRm9AAGYahjQeL9PrGbK3NLJDD+f2cTiuzjy7qEKakzhEa1jlSPVqHsIo8AHiQ28v7nDlzZLVa1b17d3l7e8vhcOjxxx/XLbfcIknKz8+XJMXExNR7XUxMjLKzs11j/Pz8FBYWdsqY716fn5+v6OjoUz4/OjraNeaHFixYoHnz5p3fBQIAAFwg5TV2ZRdV6XBRpV5cd1AZx05OPFySEKn51/dWfHjgj742yOyj+67oqolD2umZtfv0n61HtP7ACa0/cEKPfrBbPVqHyO5w6kBhhes1gzuEa2T3KCV1ilDvNhb5eLt9eSQAwDlye3l/++239cYbb+itt95Sz549lZ6erpkzZyouLk6TJ092jfvhc1eGYfzss1g/HHO68T/1PnPnztX999/v+r6srEzx8fFndF0AAAAXwtbDxXpx3UFtyylVcaWt3jlLgK8eSU7UDQPanPEz7DEh/vrLDX3065GdtTojX59lFigtu0SZeSf/ISDQz1u/HNBGk5I6qGtMsNuvBwDgHm4v7w888IAeeugh3XzzzZKk3r17Kzs7WwsWLNDkyZMVGxsr6eTMeevWrV2vKywsdM3Gx8bGymazqaSkpN7se2FhoYYNG+YaU1BQcMrnHz9+/JRZ/e+YzWaZzWb3XCgAAICbfHf7+t++2K/UQ/WfZQ8P8lO78ED1bmPR9FFdFB3sf06f0T4iSFNHdNbUEZ1VXGnTun2FsjsMXdkrViH+vu64DABAA3J7ea+qqpKXV/1brLy9vV1bxXXs2FGxsbFau3at+vfvL0my2Wxat26dFi5cKEkaOHCgfH19tXbtWo0fP16SlJeXp4yMDD3xxBOSpKSkJFmtVm3evFmDBw+WJG3atElWq9VV8AEAABozp9PQZ5kFrpl2SfL1NunGgW11y+B26hgZpOAGKNbhQX66vn9bt78vAKDhuL28X3PNNXr88cfVrl079ezZU9u3b9eiRYt05513Sjp5q/vMmTM1f/58JSQkKCEhQfPnz1dgYKAmTpwoSbJYLLrrrrs0a9YsRUREKDw8XLNnz1bv3r01evRoSVKPHj105ZVXasqUKXrppZckndwqLjk5+YxWmgcAAPCUGrtD7207ple+PqRDJyolSX4+Xrr5onhNHdFZbUIDPJwQANDYuL28P/fcc3rkkUc0bdo0FRYWKi4uTlOnTtWjjz7qGvPggw+qurpa06ZNU0lJiYYMGaI1a9a49niXpGeeeUY+Pj4aP368qqurNWrUKC1ZssS1x7skvfnmm5oxY4ZrVfpx48Zp8eLF7r4kAAAAt6hzOPXvzTn66+cHdKLi5A44wf4+um1oe90xrIOiQ87tlngAQPPn9n3emxL2eQcAABfKun3H9eeP9mj//6/uHmfx150Xd9TNg9upldnt8ykAgEaq0ezzDgAAgO8dKa7SIx9k6L/fHpckhQX66r4ruuqWwe3q7csOAMBPobwDAAA0kHX7jmvGv7fLWm2Xr7dJk5M6aPrlCbIEsro7AODsUN4BAADczDAMPf/fg3pqzbcyDKlffKiemdBPHSODPB0NANBEUd4BAADcqLzGrgff3alPMvIlSbcMjtdj43rK7OP9M68EAODHUd4BAADOU2F5jb7ILNTaPQVaf+CEauuc8vU2ad64Xpo4pJ2n4wEAmgHKOwAAwDk6Xl6rue/t1GeZhfWOd4wM0lM39dXA9mEeSgYAaG4o7wAAAOdg48EizVi2XcfLT+7X3retRaN7xOiKnjHqFhMsk8nk4YQAgOaE8g4AAHAWnE5Df//ygJ75bJ+chpQQ3UqLJw5Qt9hgT0cDADRjlHcAAIAzUFheoy/3Fmp52jFtPlwsSbppYFvNu7anAv34kQoA0LD4mwYAAOBH1NY59K9vDuuTjHztOFLqOu7v66U/X9dbNw5s68F0AICWhPIOAABwGjV2h6YuTdO6fcddx/q0tWhU9xhd37+N2kUEejAdAKClobwDAAD8QLXNoSmvb9X6AycU4Outub/orrE9YxUT4u/paACAForyDgAA8D+qbHW6a8lWbTxUpEA/b/3r9os0pFOEp2MBAFo4yjsAAMD/K62y6e7X07T5cLFamX205I6LNKhDuKdjAQBAeQcAACiutOnV9Yf02oZsVdTWKdjso9fuGqwB7cI8HQ0AAEmUdwAA0IIVV9r00lcHtXRjtqpsDklS99hgPXljX/Vua/FwOgAAvkd5BwAALY7DaeitTdl6as0+WavtkqRebUI04/IEje4RIy8vk4cTAgBQH+UdAAC0KGnZJXr0gwztzi2TJPVoHaIHxnbVZd2iZTJR2gEAjRPlHQAANHsllTZ9vrdQqzPy9VlmgSQpxN9Hs8d2061D2submXYAQCNHeQcAAM2OYRjam1+u9ftP6LPMAm05XCyn8f358YPaas6V3RXRyuy5kAAAnAXKOwAAaBbsDqdW7crTl3sLtf5AkU5U1NY736N1iK5IjNHVvVurW2ywh1ICAHBuKO8AAKBJczoNfbwrT0+v+VaHi6pcxwN8vTWkU7hGdI3S6B4xig8P9GBKAADOD+UdAAA0SXUOp74+cEJPffqta/G5iCA/TbgoXpckRGlA+1CZfbw9nBIAAPegvAMAgCahxu7QV/uOa1tOqbbnlGjnUauq7Sf3Zm9l9tHdl3bSXRd3VJCZH28AAM0Pf7sBAIBGzVbn1H+2HtFzX+xXQVn959iD/X00flC8fnNZF4UH+XkoIQAADY/yDgAAGiWH09AH6cf07Gf7lVN88ln21hZ/jegapQHtwtS/Xag6R7WSF9u8AQBaAMo7AABoVIoqavVO2lG9tSnHVdojW5k1/fIuunlwPM+xAwBaJMo7AABoFHYdterV9Ye0ale+bA6nJMkS4Kt7RnTW5GHtFejHjy0AgJaLvwUBAIDHLd14WI99uEcOpyFJ6tPWotuGtFdy39aUdgAARHkHAAAeZHc4Ne/D3XojNUeSNLZnjH5zWRf1aRvq4WQAADQulHcAAOARpVU2TXtzmzYcLJLJJD0wtpt+PaKzTCYWoAMA4Ico7wAA4IKqsTu0Yvsx/f3LAzpaUq1AP289O6GfxvSM9XQ0AAAaLco7AAC4II6X12pparbeSM1WcaVNktQmNECvTB6kHq1DPJwOAIDGjfIOAAAaVG5ptV5cd1DLthyRre7kKvJtQgN0x/AOmnBRvIL9fT2cEACAxo/yDgAAGsSR4iq9sO6g3tl6RHbHyVXk+8aHasolHXVlz1j5eHt5OCEAAE0H5R0AALiNYRjallOi1zZka9WuPNX9/9ZvQzuFa8aoBCV1imBBOgAAzgHlHQAAnLcau0Mr03P12sbD2p1b5jp+cZdITb+8i4Z0ivBcOAAAmgHKOwAAOGc1dofe3JSjF9cd1PHyWkmS2cdL4/rGaVJSB/Vua/FwQgAAmgfKOwAAOGvVNofe3JStF9cd0omKk6W9TWiAJiW11/hB8QoL8vNwQgAAmhfKOwAAOCtZJyp1x78263BRlaSTpf23l3fRDQPays+HRegAAGgIlHcAAHDGth4u1pTXt6qkyq7YEH/NHJ2gX1LaAQBocJR3AABwRj7amav7/7NDtjqn+saH6pVJgxQVbPZ0LAAAWgTKOwAA+EmGYegfXx3Sgk/2SpKuSIzR327urwA/bw8nAwCg5aC8AwCAH2UYhp749Fu98N+DkqQ7hnfQ769OlLcXe7UDAHAhUd4BAMBpOZ2G/vjRHi3ZcFiS9Ltf9NCUSzt5NhQAAC0U5R0AAJzC4TT08Hu79PbWI5KkP1/XS7cNbe/hVAAAtFyUdwAAUE+dw6lZ7+zQB+m58jJJT97YVzcMbOvpWAAAtGiUdwAA4FLncOret9P18c48+XiZ9Neb++vqPq09HQsAgBaP8g4AACTVL+6+3iY9f+tAXZEY4+lYAABAkpenAwAAAM+juAMA0LhR3gEAaOEo7gAANH7cNg8AQAtWW+fQjH9v16e7CyjuAAA0YpR3AABaqMraOk1dmqb1B07Iz9tLf791AMUdAIBGivIOAEALZK2y6/Ylm7U9p1SBft56edIgDe8S6elYAADgRzTIM+/Hjh3TbbfdpoiICAUGBqpfv35KS0tznTcMQ4899pji4uIUEBCgkSNHavfu3fXeo7a2VtOnT1dkZKSCgoI0btw4HT16tN6YkpISpaSkyGKxyGKxKCUlRaWlpQ1xSQAANBuF5TWa8I+N2p5TKkuAr9741RCKOwAAjZzby3tJSYmGDx8uX19fffLJJ9qzZ4+efvpphYaGusY88cQTWrRokRYvXqwtW7YoNjZWV1xxhcrLy11jZs6cqRUrVmjZsmVav369KioqlJycLIfD4RozceJEpaena/Xq1Vq9erXS09OVkpLi7ksCAKDZKKqo1cSXN2lvfrmigs16e+pQDWgX5ulYAADgZ5gMwzDc+YYPPfSQvvnmG3399denPW8YhuLi4jRz5kzNmTNH0slZ9piYGC1cuFBTp06V1WpVVFSUli5dqgkTJkiScnNzFR8fr1WrVmns2LHKzMxUYmKiUlNTNWTIEElSamqqkpKStHfvXnXr1u1ns5aVlclischqtSokJMRNvwIAAJyZoyVV+utn+1Vlc+j+MV3VOapVg36etcqum19OVWZemWJD/LXs7qHqEBnUoJ8JAADqO9ce6vaZ95UrV2rQoEG66aabFB0drf79++vll192nc/KylJ+fr7GjBnjOmY2mzVixAht2LBBkpSWlia73V5vTFxcnHr16uUas3HjRlksFldxl6ShQ4fKYrG4xvxQbW2tysrK6n0BANBQPs8s0IA/rdUvn/9Gb23KkbXaLkmqqK3Tk5/u1ain1+mdtKP6eFeexj7zleavylR5jb1BslTU1mnyvzYrM69Mka389OaUIRR3AACaELcvWHfo0CG98MILuv/++/Xwww9r8+bNmjFjhsxmsyZNmqT8/HxJUkxM/dVsY2JilJ2dLUnKz8+Xn5+fwsLCThnz3evz8/MVHR19yudHR0e7xvzQggULNG/evPO+RgAAfs7HO/N077LtqnMaKq60aVtOqeZ9uFuXd4/WlsMlOlFRK0ka2ilcAb7e+vLb4/rHV4e0Yvsxzb2qu67v30Ymk8ktWaptDt25ZIvSj5QqNPDkM+4NPcsPAADcy+3l3el0atCgQZo/f74kqX///tq9e7deeOEFTZo0yTXuhz+QGIbxsz+k/HDM6cb/1PvMnTtX999/v+v7srIyxcfH//xFAQBwFt5NO6oH390hpyGN6xun3m0seiftiPYVVOiTjJP/wNwhIlBzf9FDYxJjZDKZ9MXeAv3xwz06XFSl+/+zQ5/vLdTCG/qolfn8/qreebRUj3ywWzuOlCrY7KPX7xys7rE8KgYAQFPj9vLeunVrJSYm1jvWo0cPLV++XJIUGxsr6eTMeevWrV1jCgsLXbPxsbGxstlsKikpqTf7XlhYqGHDhrnGFBQUnPL5x48fP2VW/ztms1lms/k8rg4A0BwZhqHjFbXKKapSdlGVsourlFNUqSMl1erT1qKHruous4/3Gb3X0o2H9cgHJ3dQuWVwvP58XW95e5n0q0s6KuNYmVbvzlNrS4DGD4qXn8/3T69d3j1Gw7tE6pWvs/TM2n36eGeeMnPL9PxtA+qV7TqHU9nFVYoKNivE3/dHc+Rba/TEp3v13rZjkqQgP2/9646L1Kdt6I++BgAANF5uL+/Dhw/Xt99+W+/Yvn371L59e0lSx44dFRsbq7Vr16p///6SJJvNpnXr1mnhwoWSpIEDB8rX11dr167V+PHjJUl5eXnKyMjQE088IUlKSkqS1WrV5s2bNXjwYEnSpk2bZLVaXQUfAIDTKam0ae2eAv13X6EOHa9UTnGVqmyO045Nyy7RgcIKvZQyUIF+P/7XpmH8X3t3Hh5Vefd//DOTTPZkwmQlZGGLbGEXWapCZREr4tIWvbDUWh/kZ0XBBa19bIvWitpHbftQq7bWrSrUBRcea0UQ3BCQRfYtCWtWsu+Tmbl/f1CmjgENYcJMkvfruvJHzvnOyX24vhz45D73OUZ/XLlfj3+wV5J0/Xd66lfTBnrvBrNYLBqcbtfgdPspjxEeGqKbv9tXY3onaO7Lm5R3rE5X/OlT3T21v5wuj9bll2tDfrlqmlySpB7xkeqfGqt+qbGKCgtRY7NHDc1uVTc0a/nWQjU0Hz+nq0b00F0X91eqPaJNf14AACDw/P60+Q0bNmjcuHG67777NGPGDK1fv16zZ8/W008/rWuvvVaS9PDDD2vRokV69tlnlZ2drQcffFCrV6/Wnj17FBsbK0m66aabtHz5cj333HNyOBy68847VVZWpo0bNyok5PjsxyWXXKKCggI99dRTkqQbb7xRWVlZeuedd1o1Vp42DwCdk8vtUVVDs6oamlXvdKux2a16p1sHy+v1r+1FWptXJrfH958/q0Xqbo9UVkLUv7+iFR0WokX/3K16p1vnZnXT364fddLZ7sZmtxa8tlXvfFkgSZr73b66Y8o5Z7RmvbzOqflLt+ijvaUt9oWFWuV0eb71GCOzuumX0wZqWAaz7QAABIu25lC/h3dJWr58ue655x7t27dPvXr10u23367Zs2d79xtjdN999+mpp55SRUWFRo8erT/96U/Kycnx1jQ2NmrBggV6+eWX1dDQoIkTJ+qJJ57wWaNeXl6uW2+9VW+//bYkafr06Vq8eLHPO+W/CeEdADqHIxX1evT9vdp8qEIV9c3ep7p/k4Hd4zQ1J1WDe9iVlRCl9G5RPrexn7DxYIWuf3a9qhtdyukRpxd+OlqO6DDv/uLqRt34whf68kiVQq0W/fbKHF09KtMv5+XxGP15Ta7e2HREvRKjNaZ3gkb3StDAtDjVNrq0u6hae4prtKeoRi63UWRYiMJtVkWEhmhQWpwm/3s9PQAACB5BFd47CsI7AHRsjc1uPf1Rnp5YvV+NzS1nomPCQxUVFqKosBBFhoUqPtKmC89J0iU5qaf1mrQdBVX68TPrVVbnVGJMmHonxsgRHaaEmDCt3FWioupGxUfZ9OSPRmpM7wR/niIAAOhk2ppD/b7mHQCA9ubxGK3YVazf/t8uHSqvl3T8lWs3f7evutsjFB8VpvhIm0JDWs6kt8WgNLuWzhmrWc+sU2FVo47Vlvvs75sco2euO1dZCbw3HQAAtA/COwCgw6hrcumNTUf07GcHlFdaJ0lKjYvQf186QNOGdG/XW8T7Jsdo5R3j9eXhKpXXOVVW16SyWqfCbVb9aEzWNz75HQAA4EwR3gEAQa/J5dbjK/bp5XUHVd14/EnrMeGhum5cln42oa+iz/Bd6K0VFRaqsX24LR4AAJx9hHcAQNB79P29evqjPElSVkKUrh/XUz84N0MxZym0AwAABBr/6wEABLV9xTX62yf5kqRHvj9EPxiZLquVJ6gDAICuhfAOAAhaxhgtfGeHXB6jyQNTNGNUxrd/CAAAoBPyz2N4AQBoB+9uK9Kn+8sUFmrVr6YNDPRwAAAAAobwDgAISvVOlx74v52SpJvG91GGIyrAIwIAAAgcwjsAICgtXrVfhVWNSu8WqZsm9An0cAAAAAKKNe8AgKBR3disA8fqtLe4Vn/9+PhD6n41baAibCEBHhkAAEBgEd4BAGdVWW2TfvX2Dm3IL5fVYlGI1SKLRWpsdutYrdOndkK/JE0emBKgkQIAAAQPwjsA4KxZn1+uW1/ZrKLqxlPWJMaEqVditAZ0j9O8idmyWHgtHAAAAOEdANDuPB6jP6/J1WMr9srtMeqTFK37L8+RPdImjzHyGCnUalFWQpRiI2yBHi4AAEDQIbwDANpVZb1T85Zs0Zq9pZKkq4b30G+uyFF0OP8EAQAAtBb/cwIAtJu9xTWa/cIXOlhWrwibVfdfnqMfjkznVngAAIDTRHgHALSL93cU6balW1TndCu9W6T+8uNzNaB7XKCHBQAA0CER3gEAftXs9ujPq4+vb5ekMb0deuLakXJEhwV4ZAAAAB0X4R0A4BcNTreWbjikv3ycr6OVDZKk68Zm6d5pA2ULsQZ4dAAAAB0b4R0AcEYOl9frzc1H9dxnB1RWd/w97YkxYbpran/NODcjwKMDAADoHAjvAIDT0tjs1qZDFfpwd4lW7S5Rbmmdd1+GI1I3XthHPxyZrghbSABHCQAA0LkQ3gEAp2SM0c7Caq3PL9f2o9XaUVClfUewTuoAACAASURBVCW1cnuMtybEatG5Wd00c3SmLh3cXaHcIg8AAOB3hHcAgI/GZrc+yz2mD3aVaNWuEhVVN7aoSYwJ14XnJOqi/sm6IDtJ9khbAEYKAADQdRDeAQBeOwqqdMNzX/gE9khbiMb0dmhIerxyetg1uIddKXHhvKsdAADgLCK8AwAkSR/tLdVNf9+oOqdbybHhmjIoRRMHpGhs7wTWrwMAAAQY4R0AoNc2HtHPX98ql8dobO8EPTlrJLfCAwAABBHCOwB0YS63R3/6MFePf7BXkjR9aJp+98MhCg9lph0AACCYEN4BIADqmlz6144i5ZXW6Tt9E3VeL4dCrGdvDbnL7dFbWwr0v6v26UBZvSTp/43vo7su7ifrWRwHAAAAWofwDgB+1tjs1ltbjurldYfU2OxRTg+7hmbYNSQ9XjWNzVq26aj+ub1IDc1uSdLiD/crOTZc3xvcXZMHpsjlMSqpblRJTZMq650anB6vKQNT/LLu3O0xemvLUf3vqv3KP3b8/eyO6DDddXE/XXNe5hkfHwAAAO3DYowx317WOVVXV8tut6uqqkpxcXGBHg6ADq6kplF/X3tQL607pLI657fW90yI0uD0eK3ZU6LqRtc31sZFhOryYT30w3PTNbiHvU1Pet9TVKOfv7FVmw9VSpK6Rdl044V99OOxWYoO53e5AAAAZ0NbcyjhnfAOwA9W7CzWLa9sUmOzR5LUIz5S143LUu/EGG09WqWtRyq19UiVjDG6dEh3XTUiXcMz4mWxWOR0efTJ/lK982Wh1ueXKzYiVEmx4UqOjVB0eIg+2Fmsgqr/vLotMSZMvRNj1CsxWr2SojU8I17n9XKcMtA3Nrv1pw/368k1uWp2G8WEh+qmCX30k3E9Ce0AAABnGeG9DQjvAPzh7S8LdNvSLXJ7jIak23Xjhb01dVCqQkOsPnXGmDbNmLs9Rp/lHtOrXxzRezuK5HR5WtTk9IjTnAv76JKc//zcw+X1Wr23VM9+mq+80uO3yE8emKL7Lx+k7vbINpwpAAAAzhThvQ0I7wDO1JL1h3TPsm0yRrpyeA/97gdDWoR2f6p3upRbUqe8Y7XKK63T/tJardxV7J3xz3RE6YLsRK3LL9f+klrv55Jjw3X/5YN08aDUNv0CAQAAAP5BeG8DwjuAM/HMJ/n6zfKdkqRrR2fqN5fnBORJ7eV1Tr249qCeX3tA5V9Zax9itWhkZjd9t3+yZo7O5L3tAAAAQYDw3gaEdwBtUVLTqIfe3a03Nh+VJN14YW/dc0n/gM9oNzjdem3TEeWW1GpUT4fOz04ksAMAAASZtuZQnlQEAK3kcnv0wtqDenzFXtU0uWSxSLdNOke3XNQ34MFdkiLDQjRrTFaghwEAAIB2QHgHgG/R4HTrg13F+tOH+7W7qEaSNCTdrvsvz9GwjPgAjw4AAABdAeEdAE6i2e3RR3tL9faXBVqxs1j1TrckyR5p011T++maUZkKCcD6dgAAAHRNhHcA+JojFfX6r+e/8M6yS1KGI1LTh6bphvN7yxEdFsDRAQAAoCsivAPAV2w8WKE5L36hY7VOxUfZdOXwHrpsaJqGZ8QHxbp2AAAAdE2EdwD4tzc3H9Vdr2+V0+XRgO5xeua6c5UWHxnoYQEAAACEdwBocrn1+w/26c+rcyVJkwem6PdXD1N0OJdIAAAABAf+ZwqgS1ubW6b/fnOb8krrJEk3TeijBVP6ycrD6AAAABBECO8AuqSy2ib99t1demPTUUlSYky47ps+SJcO6R7gkQEAAAAtEd4BdGrldU59vK9U6/LLVVjZoJKaJpXUNKmstkkeI1ks0rWjM7Xg4v6yR9oCPVwAAADgpAjvADoNY4wKqxq1o6Bamw9V6ON9x7S9oErGnLx+YPc4/fbKHA3P7HZ2BwoAAACcJsI7gA5v5a5iPffZAe0oqFZ5nbPF/gHd43R+3wT1TY5RUmy4kmMjlBwbrqTYcF7/BgAAgA6B8A6gQ3vx84P61VvbvbPrIVaLspNjlNPDrnF9EnR+30Qlx0UEdpAAAADAGSK8AwhqLrdH245WKS7Spj5JMd7txhj9ceV+Pf7BXknS1edmaOboTPVLjVWELSRQwwUAAADaBeEdgN95PEZ5x2q15XCVvjxcqaqGZvVKjFaf5Bj1TYpRz8QoRdpCTnrLuttjVF7n1Ge5x7RyV4lW7ylRdaNL0vE16lcO76FpQ7vrydW5en7tQUnSvInZmj8pm1vgAQAA0GlZjDnVo5w6v+rqatntdlVVVSkuLi7QwwE6nGa3R//aUaS80jqV1DSq9N9Pct9XXKvaJtc3fjbUalF0eKhiwkMVGRai+iaXahpdqjnJ5+yRNtU7XWp2+16uLBZp4WWDdN24nv48LQAAAKDdtDWHMvMO4LS5PUZvbj6qP6zcp0Pl9SetibSFaHAPu4Zm2JUQE6680lrlltZpf0mtqhqa5fIYVTU0q6qh+aSf75cSq4sGJGti/2QNz+ym6oZm/d+2Qr215ag2HKhQqNWiR2cM1eXDerTnqQIAAABBgZl3Zt6BVvF4jIqqG7XhQLn+uHKfckvrJEmJMWGa2D9FyXHh3ie4ZyVEKzs5RqEh1hbHMcaotsml2iaX6v49297Q7FZ0WKhiI0IVF2lTbESowkNPvW79aGWDPB6jDEdUu50vAAAA0B6YeQfgN1UNzfrycKU2H6rUtqNVOlhWp4Pl9XK6PN6a+Cib/t/4Pvrx2CxFhbX+UmKxWBQbYVNshK3N4+sRH9nmzwIAAAAdEeEdgCSptsmlZz7O1/KtBdpfWquT3ZMTarUo0xGly4f10E/P73lGARwAAABA67W8p9XPFi1aJIvFovnz53u3GWO0cOFCpaWlKTIyUhMmTNCOHTt8PtfU1KRbbrlFiYmJio6O1vTp03XkyBGfmoqKCs2aNUt2u112u12zZs1SZWVle58S0Kk4XR49/9kBjX/kQz3+wV7tKzke3LMSonTFsDQtvGygXrzhPH1813e1+zdTterOCZo3KZvgDgAAAJxF7TrzvmHDBj399NMaMmSIz/ZHHnlEjz32mJ577jmdc845euCBBzR58mTt2bNHsbGxkqT58+frnXfe0ZIlS5SQkKA77rhD06ZN08aNGxUScnwt7MyZM3XkyBG99957kqQbb7xRs2bN0jvvvNOepwV0CsYY/XN7kR76527vQ+d6JkRp3qRsXZCdpMSY8ACPEAAAAMAJ7fbAutraWo0YMUJPPPGEHnjgAQ0bNky///3vZYxRWlqa5s+fr7vvvlvS8Vn2lJQUPfzww5ozZ46qqqqUlJSkF198UVdffbUkqaCgQBkZGXr33Xd18cUXa9euXRo4cKA+//xzjR49WpL0+eefa+zYsdq9e7f69ev3rWPkgXXoqgoqG/TLN7dr5e4SSVJiTLjmTcrWNaMyZDvJQ+YAAAAA+Edbc2i7/S/95ptv1qWXXqpJkyb5bM/Pz1dRUZGmTJni3RYeHq7x48frs88+kyRt3LhRzc3NPjVpaWnKycnx1qxdu1Z2u90b3CVpzJgxstvt3hoAvjweoxfWHtDkx9Zo5e4S2UIsuvWivlqzYIJmjckiuAMAAABBql1um1+yZIk2bdqkDRs2tNhXVFQkSUpJSfHZnpKSooMHD3prwsLC1K1btxY1Jz5fVFSk5OTkFsdPTk721nxdU1OTmpqavN9XV1efxlkBHVNtk0ubDlZofX65Vu0u0c7C430/IjNeD39/iLJTYgM8QgAAAADfxu/h/fDhw5o3b57ef/99RUREnLLOYrH4fG+MabHt675ec7L6bzrOokWLdN99933jzwA6uvI6pzYcKNf6/HJtOFCuHQXVcnv+szomOixEd1/SXz8anSWr9Zv/zgEAAAAIDn4P7xs3blRJSYlGjhzp3eZ2u/XRRx9p8eLF2rNnj6TjM+fdu3f31pSUlHhn41NTU+V0OlVRUeEz+15SUqJx48Z5a4qLi1v8/NLS0haz+ifcc889uv32273fV1dXKyMj4wzOFjj7SmoatTa3TJ/nlWlPUY3cRpIxMpJqG13KO1bX4jMZjkiN6unQeT0dumhAspJjT/2LNQAAAADBx+/hfeLEidq2bZvPtuuvv179+/fX3Xffrd69eys1NVUrVqzQ8OHDJUlOp1Nr1qzRww8/LEkaOXKkbDabVqxYoRkzZkiSCgsLtX37dj3yyCOSpLFjx6qqqkrr16/XeeedJ0lat26dqqqqvAH/68LDwxUezhO00bGU1zn1eV6Z1uaWaW1emfaX1H7rZ85JiTke1nsd/+pujzwLIwUAAADQXvwe3mNjY5WTk+OzLTo6WgkJCd7t8+fP14MPPqjs7GxlZ2frwQcfVFRUlGbOnClJstvtuuGGG3THHXcoISFBDodDd955pwYPHux9AN6AAQM0depUzZ49W0899ZSk46+KmzZtWqueNA8EI5fbo30ltdp+tErbj1ZpXX65dhfV+NRYLNLA7nEa1ydBwzK6KTzUKotFslossoVYNSgtTt2iwwJ0BgAAAADaQ7u+5/1U7rrrLjU0NOhnP/uZKioqNHr0aL3//vved7xL0uOPP67Q0FDNmDFDDQ0Nmjhxop577jnvO94l6aWXXtKtt97qfSr99OnTtXjx4rN+PsDpanC69e62Qh2uqFdxdZNKaxpVVN2ofcW1anJ5WtSfkxKjcX0SNaZ3gsb0dig+inAOAAAAdCXt9p73joD3vCMQvjxcqduWbjnp2nRJigkP1aC0OOX0sGtYRrzG9E5QUizLPQAAAIDOoK05NCAz70BX5HJ79MTqXP1x5T65PEYpceG6qP/xh8clx4UrOTZCfZNjlOWI4inwAAAAAHwQ3oGz4GBZnW5bukWbDlVKki4d0l2/vSKH298BAAAAtArhHWhHxhgt3XBY9y/fqXqnW7Hhobr/ikG6YlgPWSzMrgMAAABoHcI70E7Kapv08ze2acXOYknS6F4OPTpjqNK7RQV4ZAAAAAA6GsI74GfGGP1rR7HufXO7jtU2yRZi0R1T+mn2Bb0Vwlp2AAAAAG1AeAf8aEdBlR5Yvktr88okHX/F2+NXD9OgNHuARwYAAACgIyO8A35QUt2oR9/fq39sPCxjpLBQq/7r/F66dWK2ImwhgR4eAAAAgA6O8A60kdPl0Yd7SvT6xiNatbtELo+RJE0b0l13T+2vDAdr2wEAAAD4B+EdOE1VDc1avGqfXt90VOV1Tu/2kVnd9Ivv9dfILEcARwcAAACgMyK8A6dh5a5i/WLZNhVXN0mSkmPDdeXwHvr+yHSdkxIb4NEBAAAA6KwI70ArVNQ5df/ynVq2+agkqVditP77ewM0oV+SQkOsAR4dAAAAgM6O8A58hcvt0We5Zfp4X6nKap2qqHeqor5Z+cfqVNXQLKtF+q8Leuv2yefwIDoAAAAAZw3hHV2eMUbbjlbpzc0FevvLAh2rbTppXXZyjB75wRANz+x2lkcIAAAAoKsjvKNLcro8WpdfppW7SrRyd7EOlzd493WLsmlqTqqyEqLVLcqm+KgwJcaEaXCPeIWFcos8AAAAgLOP8I4upbi6UY+v2KvlWwtV2+Tybg8PtWrywBRdObyHLshOIqQDAAAACCqEd3QJjc1u/fXjPD2xOlf1TrckKTEmXBP7J2vigGSdn52oqDD+OgAAAAAITqQVdFoej1F+WZ2+OFCuP67cr6OVx2+NH54Zr59P7a9RPR2yWi0BHiUAAAAAfDvCOzqVvNJavbzukDYfrtSuwmrvLLskdbdH6OeX9Nf0oWmyWAjtAAAAADoOwjs6hS8PV+rJNbl6b0eRjPnP9gibVf1T4zRpQLJuOL+3IsN4vRsAAACAjofwjg6ros6pVbtL9PqmI/ost8y7fdKAZF06pLty0uzqlRit0BAePgcAAACgYyO8o0M5UlGvFTuL9f6OYq0/UC635/g0e4jVosuHpmnO+D7qlxob4FECAAAAgH8R3hHUjDHaVVij93cW6f0dxdpZWO2zv39qrKYMTNGMURlK7xYVoFECAAAAQPsivCPgaptc2nq4UpsOVWjL4UodrWxUTWOzahpdqm1yeWfXJclqkUb1dGjywBRNGZiqzAQCOwAAAIDOj/COs662yaX1+WX6dH+Z1uaWaXdRtb6Sz1sID7XqwnOSNGVgiiYOSJEjOuzsDRYAAAAAggDhHWdFg9Ott7Yc1eubjmjzoUq5vpbWe8RHanhmvEZkdlPvpGjFRdoUFxGq2AibukWFKSyUh84BAAAA6LoI72hX+cfq9PfPD+rVLw6rutHl3Z7piNJ3+iZoXJ9EndfLoZS4iACOEgAAAACCG+Ed7WLDgXI9uTpXK3eXeLdlOqJ07ehMfW9wd2U4WKsOAAAAAK1FeIffeDxGK3eX6Mk1udp4sEKSZLFI3+2XrFljsjT+nCRZrZYAjxIAAAAAOh7CO85YXmmtlm0+qmWbj+pIRYMkKSzEqu+PTNfsC3qpd1JMgEcIAAAAAB0b4R1tUtPYrDc3H9Vrm47qy8OV3u2xEaH60ZgsXf+dnkqOZR07AAAAAPgD4b0LKKhs0DOf5GtfSa2SY8OVGhehFHuEukXZ1NTsUaPLrcZmj4wxGp7ZTcMy4hVyitvbdxVW6++fH9SyzUdV73RLkkKsFl2YnagrR6Rr8oAURYaFnM3TAwAAAIBOj/DeiR0ur9cTq/frtY1H1Oz+hhepf4090qYLshN1QXaiXB6jw+UNOlxRr7zSOu0qrPbW9UmK1szRWZo+NE1JseHtcQoAAAAAABHeO6SCyga9/WWBXG6PwkKtsoUc/6prcqmivlkVdU4V1zTq433H5P73+9TH9HbosqFpx/dVN6moulHVDc0Kt4UoItSqCFuImlxurc0tU1VDs5ZvLdTyrYUtfnao1aKLB6XqR2OyNKa3QxYLD6ADAAAAgPZGeO9AKuqcemL1fj2/9qCcLk+rPnPhOUm65aK+GtXT0ap6l9ujL49UavWeUq3LL1dMeKgyHVFK7xapDEeUhmfGs5YdAAAAAM4ywnsHUO906dlPD+jJ1bmqaXJJks7N6qa+yTFyujxyuj1qdnsUHRaq+KgwOaJtio8K07CMeOX0sJ/WzwoNsWpklkMjs1oX9gEAAAAA7Y/wHuSMMfr+n9d615oP6B6nu6b204RzkrhlHQAAAAC6CMJ7kLNYLJpxbrr+9mm+7pzST5cNSZP1FE+CBwAAAAB0ToT3DuBHY7J07egshYVaAz0UAAAAAEAAEN47AFsIoR0AAAAAujJSIQAAAAAAQY7wDgAAAABAkCO8AwAAAAAQ5AjvAAAAAAAEOcI7AAAAAABBjvAOAAAAAECQI7wDAAAAABDkCO8AAAAAAAQ5wjsAAAAAAEGO8A4AAAAAQJAjvAMAAAAAEOQI7wAAAAAABDnCOwAAAAAAQS400AMIJGOMJKm6ujrAIwEAAAAAdAUn8ueJPNpaXTq819TUSJIyMjICPBIAAAAAQFdSU1Mju93e6nqLOd2434l4PB4VFBQoNjZWFosl0MM5perqamVkZOjw4cOKi4sL9HA6hVGjRmnDhg2BHkanQH/6F73pP/Sm/9Gf/kN/+he96T/0pv/Rn/7RmXrTGKOamhqlpaXJam39SvYuPfNutVqVnp4e6GG0WlxcXIdv1GAREhLCn6Wf0Z/+QW/6H73pP/Sn/9Gf/kFv+h+96T/0p391lt48nRn3E3hgHbqkm2++OdBDAE6K3kQwoz8RrOhNBDP6E/7SpW+b7yiqq6tlt9tVVVXVKX7LhM6F/kSwojcRzOhPBCt6E8GK3pRCFi5cuDDQg8C3CwkJ0YQJExQa2qVXOiBI0Z8IVvQmghn9iWBFbyJYdfXeZOYdAAAAAIAgx5p3AAAAAACCHOEdAAAAAIAgR3gHAAAAACDIEd4BAAAAAAhyhPez5KOPPtJll12mtLQ0WSwWvfnmmz77i4uL9ZOf/ERpaWmKiorS1KlTtW/fPp+aCRMmyGKx+Hxdc801PjWbNm3S5MmTFR8fr4SEBN14442qra1t9/NDx+aP/pSktWvX6qKLLlJ0dLTi4+M1YcIENTQ0ePfTnzhdZ9qbBw4caHHdPPH16quveuvoTZwuf1w3i4qKNGvWLKWmpio6OlojRozQa6+95lNDb6It/NGfubm5uvLKK5WUlKS4uDjNmDFDxcXFPjX0J07XokWLNGrUKMXGxio5OVlXXHGF9uzZ41NjjNHChQuVlpamyMhITZgwQTt27PCpaWpq0i233KLExERFR0dr+vTpOnLkiE9NZ+xPwvtZUldXp6FDh2rx4sUt9hljdMUVVygvL09vvfWWNm/erKysLE2aNEl1dXU+tbNnz1ZhYaH366mnnvLuKygo0KRJk9S3b1+tW7dO7733nnbs2KGf/OQn7X166OD80Z9r167V1KlTNWXKFK1fv14bNmzQ3LlzZbUev8zQn2iLM+3NjIwMn2tmYWGh7rvvPkVHR+uSSy6RRG+ibfxx3Zw1a5b27Nmjt99+W9u2bdNVV12lq6++Wps3b5ZEb6LtzrQ/6+rqNGXKFFksFq1atUqffvqpnE6nLrvsMnk8Hkn0J9pmzZo1uvnmm/X5559rxYoVcrlcmjJlis+18ZFHHtFjjz2mxYsXa8OGDUpNTdXkyZNVU1PjrZk/f76WLVumJUuW6JNPPlFtba2mTZsmt9stqRP3p8FZJ8ksW7bM+/2ePXuMJLN9+3bvNpfLZRwOh/nLX/7i3TZ+/Hgzb968Ux73qaeeMsnJycbtdnu3bd682Ugy+/bt8/NZoLNqa3+OHj3a3Hvvvac8Lv2JM9XW3vy6YcOGmZ/+9Kfe7+lNnKm29mZ0dLR54YUXfI7lcDjMX//6V2MMvQn/aEt//utf/zJWq9VUVVV5a8rLy40ks2LFCmMM/Qn/KCkpMZLMmjVrjDHGeDwek5qaah566CFvTWNjo7Hb7ebJJ580xhhTWVlpbDabWbJkibfm6NGjxmq1mvfee88Y03n7k5n3INDU1CRJioiI8G4LCQlRWFiYPvnkE5/al156SYmJiRo0aJDuvPNOn99ANTU1KSwszDvTKUmRkZGS1OI4QGu1pj9LSkq0bt06JScna9y4cUpJSdH48eN9+o7+hL+dzrXzhI0bN2rLli264YYbfI5Db8KfWtub559/vpYuXary8nJ5PB4tWbJETU1NmjBhgvc49Cb8rTX92dTUJIvFovDwcG9NRESErFarTw39iTNVVVUlSXI4HJKk/Px8FRUVacqUKd6a8PBwjR8/Xp999pmk4/+WNzc3+9SkpaUpJyfHW9NZ+5PwHgT69++vrKws3XPPPaqoqJDT6dRDDz2koqIiFRYWeuuuvfZavfLKK1q9erV++ctf6vXXX9dVV13l3X/RRRepqKhIv/vd7+R0OlVRUaFf/OIXkuRzHOB0tKY/8/LyJEkLFy7U7Nmz9d5772nEiBGaOHGidw0d/Ql/a+2186ueeeYZDRgwQOPGjfNuozfhb63tzaVLl8rlcikhIUHh4eGaM2eOli1bpj59+kiiN9E+WtOfY8aMUXR0tO6++27V19errq5OCxYskMfj8dbQnzhTxhjdfvvtOv/885WTkyPp+LNAJCklJcWnNiUlxbuvqKhIYWFh6tat2ylrOmt/Et6DgM1m0+uvv669e/fK4XAoKipKq1ev1iWXXKKQkBBv3ezZszVp0iTl5OTommuu0WuvvaYPPvhAmzZtkiQNGjRIzz//vB599FFFRUUpNTVVvXv3VkpKis9xgNPRmv48sf5tzpw5uv766zV8+HA9/vjj6tevn/72t79Joj/hf629dp7Q0NCgl19+2WfWXaI34X+t7c17771XFRUV+uCDD/TFF1/o9ttv1w9/+ENt27ZNEr2J9tGa/kxKStKrr76qd955RzExMbLb7aqqqtKIESO8NfQnztTcuXO1detWvfLKKy32WSwWn++NMS22fd1Xazptfwb4tv0uSV9be/RVlZWVpqSkxBhjzHnnnWd+9rOfnfI4Ho+nxXqPE4qKikxNTY2pra01VqvV/OMf//DP4NHptaU/8/LyjCTz4osv+tTPmDHDzJw5s8Vx6E+0xZleO1944QVjs9m8dSdDb6It2tKb+/fvb7Hu2BhjJk6caObMmdPiOPQm2upMr52lpaWmoqLCGGNMSkqKeeSRR1rU0J84XXPnzjXp6ekmLy/PZ3tubq6RZDZt2uSzffr06ebHP/6xMcaYlStXGkmmvLzcp2bIkCHmV7/6VYuf1Zn6k5n3IGO325WUlKR9+/bpiy++0OWXX37K2h07dqi5uVndu3dvsS8lJUUxMTFaunSpIiIiNHny5PYcNrqIU/Vnz549lZaW1uJVH3v37lVWVlaL49Cf8LfWXDufeeYZTZ8+XUlJSac8Dr0JfztVb9bX10uSz3pM6fja4xN3M30VvYn20JprZ2JiouLj47Vq1SqVlJRo+vTpLWroT7SWMUZz587VG2+8oVWrVqlXr14++3v16qXU1FStWLHCu83pdGrNmjXeJW8jR46UzWbzqSksLNT27dt9lsWd0Jn6MzTQA+gqamtrtX//fu/3+fn52rJlixwOhzIzM/Xqq68qKSlJmZmZ2rZtm+bNm6crrrjC+yCG3NxcvfTSS/re976nxMRE7dy5U3fccYeGDx+u73znO97jLl68WOPGjVNMTIxWrFihBQsW6KGHHlJ8fPxZP2d0HGfanxaLRQsWLNCvf/1rDR06VMOGDdPzzz+v3bt3+7yzmP7E6TrT3jxh//79+uijj/Tuu++e9OfQmzhdZ9qb/fv3V9++fTVnzhz9z//8jxISEvTmm29qxYoVWr58ufe49Cbawh/XzmeffVYDBgxQUlKS1q5dq3nz5um2225Tv379vDX0J07XzTffrJdffllvvfWWYmNjvWvU7Xa7IiMjZbFYNH/+fD344IPKzs5Wdna2HnzwQUVFRWnmzJne2htuuEF33HGHEhIS5HA4TquWRQAAAY1JREFUdOedd2rw4MGaNGmS92d1yv4M9NR/V/Hhhx8aSS2+rrvuOmOMMX/4wx9Menq6sdlsJjMz09x7772mqanJ+/lDhw6ZCy+80DgcDhMWFmb69Oljbr31VlNWVubzc2bNmuWtGTJkSItX0AAnc6b9ecKiRYtMenq6iYqKMmPHjjUff/yxz376E6fLX715zz33mPT0dJ9XxnwVvYnT5Y/e3Lt3r7nqqqtMcnKyiYqKOmnv0ZtoC3/05913321SUlKMzWYz2dnZ5tFHHzUej8enhv7E6TpZX0oyzz77rLfG4/GYX//61yY1NdWEh4ebCy+80Gzbts3nOA0NDWbu3LnG4XCYyMhIM23aNHPo0CGfms7YnxZjjDkLvyMAAAAAAABtxJp3AAAAAACCHOEdAAAAAIAgR3gHAAAAACDIEd4BAAAAAAhyhHcAAAAAAIIc4R0AAAAAgCBHeAcAAAAAIMgR3gEAAAAACHKEdwAAAAAAghzhHQAAAACAIEd4BwAAAAAgyBHeAQAAAAAIcv8f8V10mept0fAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df['realgdp'].plot(figsize=(12,5));"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "423644ba",
   "metadata": {},
   "source": [
    "## Hodrick-Prescott Filter"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c8f7bafd",
   "metadata": {},
   "outputs": [],
   "source": [
    "gdp_cycle, gdp_trend = hpfilter(df['realgdp'],lamb=1600)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "3502dcb4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "pandas.core.series.Series"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "type(gdp_trend)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "71fd29de",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "gdp_trend.plot(figsize=(12,5));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "de588599",
   "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>year</th>\n",
       "      <th>quarter</th>\n",
       "      <th>realgdp</th>\n",
       "      <th>realcons</th>\n",
       "      <th>realinv</th>\n",
       "      <th>realgovt</th>\n",
       "      <th>realdpi</th>\n",
       "      <th>cpi</th>\n",
       "      <th>m1</th>\n",
       "      <th>tbilrate</th>\n",
       "      <th>unemp</th>\n",
       "      <th>pop</th>\n",
       "      <th>infl</th>\n",
       "      <th>realint</th>\n",
       "      <th>trend</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1959-03-31</th>\n",
       "      <td>1959</td>\n",
       "      <td>1</td>\n",
       "      <td>2710.349</td>\n",
       "      <td>1707.4</td>\n",
       "      <td>286.898</td>\n",
       "      <td>470.045</td>\n",
       "      <td>1886.9</td>\n",
       "      <td>28.98</td>\n",
       "      <td>139.7</td>\n",
       "      <td>2.82</td>\n",
       "      <td>5.8</td>\n",
       "      <td>177.146</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>2670.837085</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-06-30</th>\n",
       "      <td>1959</td>\n",
       "      <td>2</td>\n",
       "      <td>2778.801</td>\n",
       "      <td>1733.7</td>\n",
       "      <td>310.859</td>\n",
       "      <td>481.301</td>\n",
       "      <td>1919.7</td>\n",
       "      <td>29.15</td>\n",
       "      <td>141.7</td>\n",
       "      <td>3.08</td>\n",
       "      <td>5.1</td>\n",
       "      <td>177.830</td>\n",
       "      <td>2.34</td>\n",
       "      <td>0.74</td>\n",
       "      <td>2698.712468</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-09-30</th>\n",
       "      <td>1959</td>\n",
       "      <td>3</td>\n",
       "      <td>2775.488</td>\n",
       "      <td>1751.8</td>\n",
       "      <td>289.226</td>\n",
       "      <td>491.260</td>\n",
       "      <td>1916.4</td>\n",
       "      <td>29.35</td>\n",
       "      <td>140.5</td>\n",
       "      <td>3.82</td>\n",
       "      <td>5.3</td>\n",
       "      <td>178.657</td>\n",
       "      <td>2.74</td>\n",
       "      <td>1.09</td>\n",
       "      <td>2726.612545</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-12-31</th>\n",
       "      <td>1959</td>\n",
       "      <td>4</td>\n",
       "      <td>2785.204</td>\n",
       "      <td>1753.7</td>\n",
       "      <td>299.356</td>\n",
       "      <td>484.052</td>\n",
       "      <td>1931.3</td>\n",
       "      <td>29.37</td>\n",
       "      <td>140.0</td>\n",
       "      <td>4.33</td>\n",
       "      <td>5.6</td>\n",
       "      <td>179.386</td>\n",
       "      <td>0.27</td>\n",
       "      <td>4.06</td>\n",
       "      <td>2754.612067</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1960-03-31</th>\n",
       "      <td>1960</td>\n",
       "      <td>1</td>\n",
       "      <td>2847.699</td>\n",
       "      <td>1770.5</td>\n",
       "      <td>331.722</td>\n",
       "      <td>462.199</td>\n",
       "      <td>1955.5</td>\n",
       "      <td>29.54</td>\n",
       "      <td>139.6</td>\n",
       "      <td>3.50</td>\n",
       "      <td>5.2</td>\n",
       "      <td>180.007</td>\n",
       "      <td>2.31</td>\n",
       "      <td>1.19</td>\n",
       "      <td>2782.816333</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            year  quarter   realgdp  realcons  realinv  realgovt  realdpi  \\\n",
       "1959-03-31  1959        1  2710.349    1707.4  286.898   470.045   1886.9   \n",
       "1959-06-30  1959        2  2778.801    1733.7  310.859   481.301   1919.7   \n",
       "1959-09-30  1959        3  2775.488    1751.8  289.226   491.260   1916.4   \n",
       "1959-12-31  1959        4  2785.204    1753.7  299.356   484.052   1931.3   \n",
       "1960-03-31  1960        1  2847.699    1770.5  331.722   462.199   1955.5   \n",
       "\n",
       "              cpi     m1  tbilrate  unemp      pop  infl  realint        trend  \n",
       "1959-03-31  28.98  139.7      2.82    5.8  177.146  0.00     0.00  2670.837085  \n",
       "1959-06-30  29.15  141.7      3.08    5.1  177.830  2.34     0.74  2698.712468  \n",
       "1959-09-30  29.35  140.5      3.82    5.3  178.657  2.74     1.09  2726.612545  \n",
       "1959-12-31  29.37  140.0      4.33    5.6  179.386  0.27     4.06  2754.612067  \n",
       "1960-03-31  29.54  139.6      3.50    5.2  180.007  2.31     1.19  2782.816333  "
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df['trend'] = gdp_trend\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "922691b1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "df[['trend','realgdp']]['2005-01-01':].plot(figsize=(12,5));"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "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": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}