treynor_ratio.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "start_time": "2023-03-31T11:07:59.332264Z",
     "end_time": "2023-03-31T11:08:03.444569Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": "\u001B[33mForecasting Toolkit is disabled. To use the Forecasting features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/\u001B[0m\n\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #808000; text-decoration-color: #808000\">Forecasting Toolkit is disabled. To use the Forecasting features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/</span>\n\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "\u001B[33mPortfolio Optimization Toolkit is disabled. To use the Optimization features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/\u001B[0m\n\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #808000; text-decoration-color: #808000\">Portfolio Optimization Toolkit is disabled. To use the Optimization features please install the toolkit following the instructions here: https://docs.openbb.co/sdk/quickstart/installation/</span>\n\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from openbb_terminal.sdk import openbb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "outputs": [
    {
     "data": {
      "text/plain": "Loading Daily data for JPM with starting period 2014-01-02.\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Loading Daily data for JPM with starting period 2014-01-02.\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": "Loading Daily data for SPY with starting period 2014-01-02.\n",
      "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Loading Daily data for SPY with starting period 2014-01-02.\n</pre>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Grab data and compute the return\n",
    "data = openbb.stocks.load(\n",
    "    # \"JPM, SPY\",\n",
    "    \"JPM\",\n",
    "    start_date=\"2014-01-01\",\n",
    "    end_date=\"2022-12-31\"\n",
    ")\n",
    "\n",
    "data_bench = openbb.stocks.load(\n",
    "    # \"JPM, SPY\",\n",
    "    \"SPY\",\n",
    "    start_date=\"2014-01-01\",\n",
    "    end_date=\"2022-12-31\"\n",
    ")\n",
    "\n",
    "asset = data[\"Adj Close\"]\n",
    "benchmark = data_bench[\"Adj Close\"]\n",
    "\n",
    "asset_returns = asset.pct_change().dropna()\n",
    "benchmark_returns = benchmark.pct_change().dropna()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-03-31T11:12:20.697715Z",
     "end_time": "2023-03-31T11:12:21.091060Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "outputs": [],
   "source": [
    "# Start coputing beta\n",
    "bm_cov = benchmark_returns.rolling(\n",
    "    window=30\n",
    ").cov(asset_returns)\n",
    "\n",
    "bm_var = benchmark_returns.rolling(\n",
    "    window=30\n",
    ").var()\n",
    "\n",
    "beta = bm_cov / bm_var"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-03-31T11:12:39.750814Z",
     "end_time": "2023-03-31T11:12:39.762159Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "outputs": [
    {
     "data": {
      "text/plain": "<AxesSubplot:xlabel='date'>"
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute Treynor ratio\n",
    "treynor = (\n",
    "    asset_returns - benchmark_returns\n",
    ") / beta\n",
    "\n",
    "treynor.plot()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2023-03-31T11:12:57.722152Z",
     "end_time": "2023-03-31T11:12:58.015038Z"
    }
   }
  }
 ],
 "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": 0
}