portfolio_comp.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Build your own portfolio that makes money in any economy with OpenBB\n",
    "\n",
    "Risk parity is a strategy that uses risk to find the allocations of an investment portfolio. It allocates money to stocks based on a target risk level—usually volatility.\n",
    "\n",
    "In other words, instead of equal dollar weights, risk parity has equal risk weights.\n",
    "\n",
    "The problem with dollar-weighting is not every stock has the same risk. That means if you equally weigh two stocks, but one has higher risk, returns will be dominated by the higher-risk stock. Investors use risk parity to avoid this problem.\n",
    "\n",
    "Risk parity is a strategy that works well in volatile markets."
   ],
   "metadata": {
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   }
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[Info] loading page [##############################] 5/5 \r"
     ]
    },
    {
     "data": {
      "text/plain": "                   VTI       VXUS        DBC        IAU        BND       BNDX\nDate                                                                         \n2016-01-04   90.110085  35.625801  12.806270  20.760000  66.480324  44.535881\n2016-01-05   90.311829  35.561512  12.680718  20.799999  66.562683  44.510651\n2016-01-06   89.101456  34.958767  12.477903  21.139999  66.859200  44.678745\n2016-01-07   86.917564  34.235474  12.419956  21.440001  66.867401  44.611519\n2016-01-08   85.926468  33.833656  12.362009  21.320000  66.949791  44.603115\n...                ...        ...        ...        ...        ...        ...\n2022-12-23  189.928162  51.066715  24.520000  34.110001  71.655510  47.390396\n2022-12-27  189.134384  51.343071  24.740000  34.380001  71.102249  47.211639\n2022-12-28  186.753098  50.731140  24.459999  34.220001  71.003456  47.191776\n2022-12-29  190.186127  51.560211  24.430000  34.439999  71.270203  47.281155\n2022-12-30  189.699951  51.046978  24.650000  34.590000  70.973824  47.102394\n\n[1762 rows x 6 columns]",
      "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>VTI</th>\n      <th>VXUS</th>\n      <th>DBC</th>\n      <th>IAU</th>\n      <th>BND</th>\n      <th>BNDX</th>\n    </tr>\n    <tr>\n      <th>Date</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>2016-01-04</th>\n      <td>90.110085</td>\n      <td>35.625801</td>\n      <td>12.806270</td>\n      <td>20.760000</td>\n      <td>66.480324</td>\n      <td>44.535881</td>\n    </tr>\n    <tr>\n      <th>2016-01-05</th>\n      <td>90.311829</td>\n      <td>35.561512</td>\n      <td>12.680718</td>\n      <td>20.799999</td>\n      <td>66.562683</td>\n      <td>44.510651</td>\n    </tr>\n    <tr>\n      <th>2016-01-06</th>\n      <td>89.101456</td>\n      <td>34.958767</td>\n      <td>12.477903</td>\n      <td>21.139999</td>\n      <td>66.859200</td>\n      <td>44.678745</td>\n    </tr>\n    <tr>\n      <th>2016-01-07</th>\n      <td>86.917564</td>\n      <td>34.235474</td>\n      <td>12.419956</td>\n      <td>21.440001</td>\n      <td>66.867401</td>\n      <td>44.611519</td>\n    </tr>\n    <tr>\n      <th>2016-01-08</th>\n      <td>85.926468</td>\n      <td>33.833656</td>\n      <td>12.362009</td>\n      <td>21.320000</td>\n      <td>66.949791</td>\n      <td>44.603115</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    </tr>\n    <tr>\n      <th>2022-12-23</th>\n      <td>189.928162</td>\n      <td>51.066715</td>\n      <td>24.520000</td>\n      <td>34.110001</td>\n      <td>71.655510</td>\n      <td>47.390396</td>\n    </tr>\n    <tr>\n      <th>2022-12-27</th>\n      <td>189.134384</td>\n      <td>51.343071</td>\n      <td>24.740000</td>\n      <td>34.380001</td>\n      <td>71.102249</td>\n      <td>47.211639</td>\n    </tr>\n    <tr>\n      <th>2022-12-28</th>\n      <td>186.753098</td>\n      <td>50.731140</td>\n      <td>24.459999</td>\n      <td>34.220001</td>\n      <td>71.003456</td>\n      <td>47.191776</td>\n    </tr>\n    <tr>\n      <th>2022-12-29</th>\n      <td>190.186127</td>\n      <td>51.560211</td>\n      <td>24.430000</td>\n      <td>34.439999</td>\n      <td>71.270203</td>\n      <td>47.281155</td>\n    </tr>\n    <tr>\n      <th>2022-12-30</th>\n      <td>189.699951</td>\n      <td>51.046978</td>\n      <td>24.650000</td>\n      <td>34.590000</td>\n      <td>70.973824</td>\n      <td>47.102394</td>\n    </tr>\n  </tbody>\n</table>\n<p>1762 rows × 6 columns</p>\n</div>"
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from openbb_terminal.sdk import openbb\n",
    "import riskfolio as rp\n",
    "# Then grab the data.\n",
    "\n",
    "new_highs = openbb.stocks.screener.screener_data(\"new_high\")\n",
    "port_data = new_highs[\n",
    "    (new_highs.Price > 15) & (new_highs.Country == \"USA\")\n",
    "]\n",
    "\n",
    "\n",
    "tickers = port_data.Ticker.tolist()\n",
    "tickers = ['VTI', 'VXUS', 'DBC', 'IAU', 'BND', 'BNDX']\n",
    "data = openbb.economy.index(\n",
    "    tickers,\n",
    "    start_date=\"2016-01-01\",\n",
    "    end_date=\"2022-12-31\"\n",
    ")\n",
    "data"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:15:59.556573Z",
     "start_time": "2023-06-28T14:15:53.288653Z"
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   }
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "outputs": [
    {
     "data": {
      "text/plain": "                 VTI      VXUS       DBC       IAU       BND      BNDX\nDate                                                                  \n2016-01-05  0.002239 -0.001805 -0.009804  0.001927  0.001239 -0.000567\n2016-01-06 -0.013402 -0.016949 -0.015994  0.016346  0.004455  0.003777\n2016-01-07 -0.024510 -0.020690 -0.004644  0.014191  0.000123 -0.001505\n2016-01-08 -0.011403 -0.011737 -0.004666 -0.005597  0.001232 -0.000188\n2016-01-11 -0.000612  0.002138 -0.027344 -0.008443 -0.004183 -0.001131\n...              ...       ...       ...       ...       ...       ...\n2022-12-23  0.005516  0.002325  0.018272  0.003530 -0.003134 -0.002196\n2022-12-27 -0.004179  0.005412  0.008972  0.007916 -0.007721 -0.003772\n2022-12-28 -0.012590 -0.011918 -0.011318 -0.004654 -0.001389 -0.000421\n2022-12-29  0.018383  0.016342 -0.001226  0.006429  0.003757  0.001894\n2022-12-30 -0.002556 -0.009954  0.009005  0.004355 -0.004159 -0.003781\n\n[1761 rows x 6 columns]",
      "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>VTI</th>\n      <th>VXUS</th>\n      <th>DBC</th>\n      <th>IAU</th>\n      <th>BND</th>\n      <th>BNDX</th>\n    </tr>\n    <tr>\n      <th>Date</th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n      <th></th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>2016-01-05</th>\n      <td>0.002239</td>\n      <td>-0.001805</td>\n      <td>-0.009804</td>\n      <td>0.001927</td>\n      <td>0.001239</td>\n      <td>-0.000567</td>\n    </tr>\n    <tr>\n      <th>2016-01-06</th>\n      <td>-0.013402</td>\n      <td>-0.016949</td>\n      <td>-0.015994</td>\n      <td>0.016346</td>\n      <td>0.004455</td>\n      <td>0.003777</td>\n    </tr>\n    <tr>\n      <th>2016-01-07</th>\n      <td>-0.024510</td>\n      <td>-0.020690</td>\n      <td>-0.004644</td>\n      <td>0.014191</td>\n      <td>0.000123</td>\n      <td>-0.001505</td>\n    </tr>\n    <tr>\n      <th>2016-01-08</th>\n      <td>-0.011403</td>\n      <td>-0.011737</td>\n      <td>-0.004666</td>\n      <td>-0.005597</td>\n      <td>0.001232</td>\n      <td>-0.000188</td>\n    </tr>\n    <tr>\n      <th>2016-01-11</th>\n      <td>-0.000612</td>\n      <td>0.002138</td>\n      <td>-0.027344</td>\n      <td>-0.008443</td>\n      <td>-0.004183</td>\n      <td>-0.001131</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    </tr>\n    <tr>\n      <th>2022-12-23</th>\n      <td>0.005516</td>\n      <td>0.002325</td>\n      <td>0.018272</td>\n      <td>0.003530</td>\n      <td>-0.003134</td>\n      <td>-0.002196</td>\n    </tr>\n    <tr>\n      <th>2022-12-27</th>\n      <td>-0.004179</td>\n      <td>0.005412</td>\n      <td>0.008972</td>\n      <td>0.007916</td>\n      <td>-0.007721</td>\n      <td>-0.003772</td>\n    </tr>\n    <tr>\n      <th>2022-12-28</th>\n      <td>-0.012590</td>\n      <td>-0.011918</td>\n      <td>-0.011318</td>\n      <td>-0.004654</td>\n      <td>-0.001389</td>\n      <td>-0.000421</td>\n    </tr>\n    <tr>\n      <th>2022-12-29</th>\n      <td>0.018383</td>\n      <td>0.016342</td>\n      <td>-0.001226</td>\n      <td>0.006429</td>\n      <td>0.003757</td>\n      <td>0.001894</td>\n    </tr>\n    <tr>\n      <th>2022-12-30</th>\n      <td>-0.002556</td>\n      <td>-0.009954</td>\n      <td>0.009005</td>\n      <td>0.004355</td>\n      <td>-0.004159</td>\n      <td>-0.003781</td>\n    </tr>\n  </tbody>\n</table>\n<p>1761 rows × 6 columns</p>\n</div>"
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# OpenBB has a function that returns a list of stocks based on a screener. In this case, you’ll find stocks that are at new highs. Then filter this data to include only stocks with prices above $15 and from the US. Store the tickers in a list and download their historical data for a range of dates.\n",
    "\n",
    "# Next, compute the returns and clean the data.\n",
    "\n",
    "returns = data.pct_change()[1:]\n",
    "returns.dropna(how=\"any\", axis=1, inplace=True)\n",
    "# Calculate the percentage change in the historical data to get the returns and drop any missing values.\n",
    "returns"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:16:03.814089Z",
     "start_time": "2023-06-28T14:16:03.801458Z"
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   }
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "outputs": [],
   "source": [
    "# Build the risk parity portfolio\n",
    "\n",
    "# Now, let’s move on to building the risk parity portfolio using RiskFolio.\n",
    "\n",
    "port = rp.Portfolio(returns=returns)\n",
    "\n",
    "port.assets_stats(method_mu='hist', method_cov='hist', d=0.94)\n",
    "rm = 'SMV'\n",
    "rm = 'MV'\n",
    "\n",
    "# port.lowerret = 0.0008\n",
    "w_rp_c = port.rp_optimization(\n",
    "    model=\"Classic\",\n",
    "    rm=rm,\n",
    "    hist=True,\n",
    "    rf=0,\n",
    "    b=None\n",
    ")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:18:12.553662Z",
     "start_time": "2023-06-28T14:18:12.527280Z"
    }
   }
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  {
   "cell_type": "code",
   "execution_count": 37,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 720x576 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = rp.plot_pie(w=w_rp_c,\n",
    "                 title='Portfolio',\n",
    "                 height=8,\n",
    "                 width=10,\n",
    "                 cmap=\"tab20\",\n",
    "                 ax=None)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:18:14.502083Z",
     "start_time": "2023-06-28T14:18:14.356258Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 720x432 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {
      "needs_background": "dark"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = rp.plot_series(returns=returns,\n",
    "                    w=w_rp_c,\n",
    "                    cmap='tab20',\n",
    "                    height=6,\n",
    "                    width=10,\n",
    "                    ax=None)"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:16:57.796934Z",
     "start_time": "2023-06-28T14:16:57.666713Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 720x432 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {
      "needs_background": "dark"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = rp.plot_risk_con(\n",
    "    w_rp_c,\n",
    "    cov=port.cov,\n",
    "    returns=port.returns,\n",
    "    rm=\"MV\",\n",
    "    rf=0,\n",
    ")"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:17:03.121922Z",
     "start_time": "2023-06-28T14:17:03.064978Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "outputs": [
    {
     "data": {
      "text/plain": "       weights  invest_amt  last_price  shares\nBZH   0.013222  132.216090   12.760000      10\nCIR   0.013137  131.371341   23.959999       5\nBCC   0.017024  170.236453   65.732567       2\nCCS   0.014144  141.440724   49.640461       2\nNCLH  0.011235  112.352919   12.240000       9\nRCL   0.012726  127.263496   49.430000       2\nSAIA  0.021422  214.220702  209.679993       1\nZ     0.016764  167.642183   32.209999       5\nWDAY  0.021632  216.318739  167.330002       1\nSUM   0.013375  133.754587   28.389999       4\nTTWO  0.035595  355.947219  104.129997       3\nDAL   0.016201  162.014349   32.860001       4\nPCH   0.019748  197.475514   43.143250       4\nZG    0.016262  162.619776   31.209999       5\nLPX   0.016419  164.186269   58.732552       2\nCCL   0.011870  118.697811    8.060000      14\nUAL   0.014067  140.668172   37.700001       3\nXPO   0.016372  163.716104   33.290001       4\nTMHC  0.013527  135.267441   30.350000       4\nIDCC  0.020771  207.710545   48.946907       4\nLEN   0.017359  173.586758   89.855820       1\nFI    0.025967  259.674771  101.070000       2\nMLM   0.021564  215.636495  336.797180       0\nLMB   0.030253  302.531442   10.410000      29\nAN    0.020063  200.625760  107.300003       1\nBLDR  0.014643  146.425951   64.879997       2\nABC   0.032242  322.419495  164.728149       1\nTOL   0.015755  157.553046   49.550823       3\nCSGP  0.026848  268.480324   77.279999       3\nGWW   0.028829  288.286873  553.256836       0\nVMC   0.022562  225.621483  174.308472       1\nCAH   0.028484  284.841256   76.363998       3\nMHO   0.013840  138.404886   46.180000       2\nRSG   0.040843  408.432901  128.516510       3\nDHI   0.019235  192.345698   88.710930       2\nROP   0.029334  293.343829  430.738739       0\nDECK  0.022123  221.226208  399.160004       0\nPWR   0.024161  241.606495  142.428711       1\nAAPL  0.028202  282.021758  129.552719       2\nHCA   0.023428  234.280863  238.872833       0\nLLY   0.052778  527.775956  363.714142       1\nMLI   0.019267  192.670188   58.513531       3\nPCAR  0.027608  276.077846   65.528214       4\nTJX   0.024949  249.492514   78.969925       3\nPHM   0.017878  178.784048   45.301605       3\nTKR   0.018070  180.699497   70.098335       2\nKDNY  0.018203  182.033225   26.200001       6",
      "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>weights</th>\n      <th>invest_amt</th>\n      <th>last_price</th>\n      <th>shares</th>\n    </tr>\n  </thead>\n  <tbody>\n    <tr>\n      <th>BZH</th>\n      <td>0.013222</td>\n      <td>132.216090</td>\n      <td>12.760000</td>\n      <td>10</td>\n    </tr>\n    <tr>\n      <th>CIR</th>\n      <td>0.013137</td>\n      <td>131.371341</td>\n      <td>23.959999</td>\n      <td>5</td>\n    </tr>\n    <tr>\n      <th>BCC</th>\n      <td>0.017024</td>\n      <td>170.236453</td>\n      <td>65.732567</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>CCS</th>\n      <td>0.014144</td>\n      <td>141.440724</td>\n      <td>49.640461</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>NCLH</th>\n      <td>0.011235</td>\n      <td>112.352919</td>\n      <td>12.240000</td>\n      <td>9</td>\n    </tr>\n    <tr>\n      <th>RCL</th>\n      <td>0.012726</td>\n      <td>127.263496</td>\n      <td>49.430000</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>SAIA</th>\n      <td>0.021422</td>\n      <td>214.220702</td>\n      <td>209.679993</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>Z</th>\n      <td>0.016764</td>\n      <td>167.642183</td>\n      <td>32.209999</td>\n      <td>5</td>\n    </tr>\n    <tr>\n      <th>WDAY</th>\n      <td>0.021632</td>\n      <td>216.318739</td>\n      <td>167.330002</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>SUM</th>\n      <td>0.013375</td>\n      <td>133.754587</td>\n      <td>28.389999</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>TTWO</th>\n      <td>0.035595</td>\n      <td>355.947219</td>\n      <td>104.129997</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>DAL</th>\n      <td>0.016201</td>\n      <td>162.014349</td>\n      <td>32.860001</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>PCH</th>\n      <td>0.019748</td>\n      <td>197.475514</td>\n      <td>43.143250</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>ZG</th>\n      <td>0.016262</td>\n      <td>162.619776</td>\n      <td>31.209999</td>\n      <td>5</td>\n    </tr>\n    <tr>\n      <th>LPX</th>\n      <td>0.016419</td>\n      <td>164.186269</td>\n      <td>58.732552</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>CCL</th>\n      <td>0.011870</td>\n      <td>118.697811</td>\n      <td>8.060000</td>\n      <td>14</td>\n    </tr>\n    <tr>\n      <th>UAL</th>\n      <td>0.014067</td>\n      <td>140.668172</td>\n      <td>37.700001</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>XPO</th>\n      <td>0.016372</td>\n      <td>163.716104</td>\n      <td>33.290001</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>TMHC</th>\n      <td>0.013527</td>\n      <td>135.267441</td>\n      <td>30.350000</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>IDCC</th>\n      <td>0.020771</td>\n      <td>207.710545</td>\n      <td>48.946907</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>LEN</th>\n      <td>0.017359</td>\n      <td>173.586758</td>\n      <td>89.855820</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>FI</th>\n      <td>0.025967</td>\n      <td>259.674771</td>\n      <td>101.070000</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>MLM</th>\n      <td>0.021564</td>\n      <td>215.636495</td>\n      <td>336.797180</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>LMB</th>\n      <td>0.030253</td>\n      <td>302.531442</td>\n      <td>10.410000</td>\n      <td>29</td>\n    </tr>\n    <tr>\n      <th>AN</th>\n      <td>0.020063</td>\n      <td>200.625760</td>\n      <td>107.300003</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>BLDR</th>\n      <td>0.014643</td>\n      <td>146.425951</td>\n      <td>64.879997</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>ABC</th>\n      <td>0.032242</td>\n      <td>322.419495</td>\n      <td>164.728149</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>TOL</th>\n      <td>0.015755</td>\n      <td>157.553046</td>\n      <td>49.550823</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>CSGP</th>\n      <td>0.026848</td>\n      <td>268.480324</td>\n      <td>77.279999</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>GWW</th>\n      <td>0.028829</td>\n      <td>288.286873</td>\n      <td>553.256836</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>VMC</th>\n      <td>0.022562</td>\n      <td>225.621483</td>\n      <td>174.308472</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>CAH</th>\n      <td>0.028484</td>\n      <td>284.841256</td>\n      <td>76.363998</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>MHO</th>\n      <td>0.013840</td>\n      <td>138.404886</td>\n      <td>46.180000</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>RSG</th>\n      <td>0.040843</td>\n      <td>408.432901</td>\n      <td>128.516510</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>DHI</th>\n      <td>0.019235</td>\n      <td>192.345698</td>\n      <td>88.710930</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>ROP</th>\n      <td>0.029334</td>\n      <td>293.343829</td>\n      <td>430.738739</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>DECK</th>\n      <td>0.022123</td>\n      <td>221.226208</td>\n      <td>399.160004</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>PWR</th>\n      <td>0.024161</td>\n      <td>241.606495</td>\n      <td>142.428711</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>AAPL</th>\n      <td>0.028202</td>\n      <td>282.021758</td>\n      <td>129.552719</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>HCA</th>\n      <td>0.023428</td>\n      <td>234.280863</td>\n      <td>238.872833</td>\n      <td>0</td>\n    </tr>\n    <tr>\n      <th>LLY</th>\n      <td>0.052778</td>\n      <td>527.775956</td>\n      <td>363.714142</td>\n      <td>1</td>\n    </tr>\n    <tr>\n      <th>MLI</th>\n      <td>0.019267</td>\n      <td>192.670188</td>\n      <td>58.513531</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>PCAR</th>\n      <td>0.027608</td>\n      <td>276.077846</td>\n      <td>65.528214</td>\n      <td>4</td>\n    </tr>\n    <tr>\n      <th>TJX</th>\n      <td>0.024949</td>\n      <td>249.492514</td>\n      <td>78.969925</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>PHM</th>\n      <td>0.017878</td>\n      <td>178.784048</td>\n      <td>45.301605</td>\n      <td>3</td>\n    </tr>\n    <tr>\n      <th>TKR</th>\n      <td>0.018070</td>\n      <td>180.699497</td>\n      <td>70.098335</td>\n      <td>2</td>\n    </tr>\n    <tr>\n      <th>KDNY</th>\n      <td>0.018203</td>\n      <td>182.033225</td>\n      <td>26.200001</td>\n      <td>6</td>\n    </tr>\n  </tbody>\n</table>\n</div>"
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Risk parity figured out how the optimal risk weights to hit the minimum portfolio return constraint. The risk contribution of each stock varies depending on its volatility.\n",
    "\n",
    "# Finally, compute the number of shares you need to invest in the portfolio.\n",
    "\n",
    "port_val = 10_000\n",
    "w_rp_c[\"invest_amt\"] = w_rp_c * port_val\n",
    "w_rp_c[\"last_price\"] =  data.iloc[-1]\n",
    "w_rp_c[\"shares\"] = (w_rp_c.invest_amt / w_rp_c.last_price).astype(int)\n",
    "w_rp_c"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2023-06-28T14:06:46.005860Z",
     "start_time": "2023-06-28T14:06:46.003274Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
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