{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-02-14T22:51:48.194830Z",
     "start_time": "2025-02-14T22:51:43.068129Z"
    }
   },
   "source": [
    "import matplotlib.pyplot as plt\n",
    "from openbb import obb\n",
    "import pyfinlib\n"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-14T22:51:48.808390Z",
     "start_time": "2025-02-14T22:51:48.198843Z"
    }
   },
   "cell_type": "code",
   "source": "aapl = obb.equity.price.historical(symbol='AAPL', provider='yfinance')",
   "id": "e5573366e39b2962",
   "outputs": [],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-14T22:51:49.028903Z",
     "start_time": "2025-02-14T22:51:49.024918Z"
    }
   },
   "cell_type": "code",
   "source": "data = [i.open for i in aapl.results]",
   "id": "481bc5b5742518f7",
   "outputs": [],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-14T22:51:49.064656Z",
     "start_time": "2025-02-14T22:51:49.059113Z"
    }
   },
   "cell_type": "code",
   "source": [
    "VaR_historical = pyfinlib.risk.var.varcovar(data, 0.05)\n",
    "VaR_historical_10 = pyfinlib.risk.var.varcovar(data, 0.1)\n",
    "VaR_historical, VaR_historical_10"
   ],
   "id": "2cc84cfff89a39a1",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(-0.026031920848673024, -0.02002042717077901)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-14T22:51:49.089089Z",
     "start_time": "2025-02-14T22:51:49.085824Z"
    }
   },
   "cell_type": "code",
   "source": "returns = pyfinlib.util.rates_of_change(data)",
   "id": "28a68dea99911874",
   "outputs": [],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-02-14T22:51:49.363386Z",
     "start_time": "2025-02-14T22:51:49.221932Z"
    }
   },
   "cell_type": "code",
   "source": [
    "# Plot the historical returns and VaR threshold\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.hist(returns, bins=50, alpha=0.75, color='blue', edgecolor='black')\n",
    "plt.axvline(VaR_historical, color='red', linestyle='--', label=f'VaR (95%): {VaR_historical:.2%}')\n",
    "plt.axvline(VaR_historical_10, color='orange', linestyle='--', label=f'VaR (90%): {VaR_historical_10:.2%}')\n",
    "plt.title('Historical Returns of AAPL')\n",
    "plt.xlabel('Returns')\n",
    "plt.ylabel('Frequency')\n",
    "plt.legend()\n",
    "plt.show()"
   ],
   "id": "5ab5e055a23f28ed",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {},
   "cell_type": "code",
   "outputs": [],
   "execution_count": null,
   "source": "",
   "id": "ddeb6ada3ab526b5"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}