{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Algorithmic Trading\n",
    "\n",
    "<img align=\"left\" width=\"80\" height=\"200\" src=\"https://img.shields.io/badge/python-v3.6-blue.svg\">\n",
    "<br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Notebook by [Marco Tavora](https://marcotavora.me/)\n",
    "\n",
    "### Table of contents\n",
    "\n",
    "1. [Summary](#Summary)\n",
    "1. [Definitions](#Definitions)\n",
    "3. [Modules](#Modules)\n",
    "4. [Time Series](#Time-Series)\n",
    "5. [Strategy](#Strategy)\n",
    "6. [Moving Windows](#Moving-Windows)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Summary \n",
    "[[go back to the top]](#Table-of-contents)\n",
    "\n",
    "I will briefly describe:\n",
    "- How to build a [trend trading](https://en.wikipedia.org/wiki/Trend_following) strategy\n",
    "- How to backtest it \n",
    "- How we can optimize it \n",
    "\n",
    "### Definitions \n",
    "[[go back to the top]](#Table-of-contents)\n",
    "\n",
    "\n",
    "Trend trading can be [defined as](https://en.wikipedia.org/wiki/Trend_following):\n",
    "\n",
    "> ... a trading strategy according to which one should buy an asset when its price trend goes up, and sell when its trend goes down, expecting price movements to continue.\n",
    "\n",
    "Again borrowing from [Wikipedia](#https://en.wikipedia.org/wiki/Backtesting), backtesting:\n",
    "> ... seeks to estimate the performance of a strategy or model if it had been employed during a past period. This requires simulating past conditions with sufficient detail, making one limitation of backtesting the need for detailed historical data. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Modules \n",
    "[[go back to the top]](#Table-of-contents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [],
   "source": [
    "%run modules_algo_trading_v4.ipynb"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data from `yahoo` or `Quandl`\n",
    "[[go back to the top]](#Table-of-contents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "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>Open</th>\n",
       "      <th>High</th>\n",
       "      <th>Low</th>\n",
       "      <th>Close</th>\n",
       "      <th>Adj Close</th>\n",
       "      <th>Volume</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>2000-01-03</th>\n",
       "      <td>3.745536</td>\n",
       "      <td>4.017857</td>\n",
       "      <td>3.631696</td>\n",
       "      <td>3.997768</td>\n",
       "      <td>3.543045</td>\n",
       "      <td>133949200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>3.866071</td>\n",
       "      <td>3.950893</td>\n",
       "      <td>3.613839</td>\n",
       "      <td>3.660714</td>\n",
       "      <td>3.244329</td>\n",
       "      <td>128094400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>3.705357</td>\n",
       "      <td>3.948661</td>\n",
       "      <td>3.678571</td>\n",
       "      <td>3.714286</td>\n",
       "      <td>3.291807</td>\n",
       "      <td>194580400</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>3.790179</td>\n",
       "      <td>3.821429</td>\n",
       "      <td>3.392857</td>\n",
       "      <td>3.392857</td>\n",
       "      <td>3.006939</td>\n",
       "      <td>191993200</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>3.446429</td>\n",
       "      <td>3.607143</td>\n",
       "      <td>3.410714</td>\n",
       "      <td>3.553571</td>\n",
       "      <td>3.149374</td>\n",
       "      <td>115183600</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                Open      High       Low     Close  Adj Close     Volume\n",
       "Date                                                                    \n",
       "2000-01-03  3.745536  4.017857  3.631696  3.997768   3.543045  133949200\n",
       "2000-01-04  3.866071  3.950893  3.613839  3.660714   3.244329  128094400\n",
       "2000-01-05  3.705357  3.948661  3.678571  3.714286   3.291807  194580400\n",
       "2000-01-06  3.790179  3.821429  3.392857  3.392857   3.006939  191993200\n",
       "2000-01-07  3.446429  3.607143  3.410714  3.553571   3.149374  115183600"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "start, end = datetime.datetime(2000, 1, 1), datetime.datetime(2018, 1, 1)\n",
    "apple = pdr.get_data_yahoo('AAPL', start=start, end=end)\n",
    "apple.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Checking for null values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([False])"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "apple.isnull().any().unique()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\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>open</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>close</th>\n",
       "      <th>volume</th>\n",
       "      <th>ex-dividend</th>\n",
       "      <th>split_ratio</th>\n",
       "      <th>adj_open</th>\n",
       "      <th>adj_high</th>\n",
       "      <th>adj_low</th>\n",
       "      <th>adj_close</th>\n",
       "      <th>adj_volume</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",
       "      <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>2000-01-03</th>\n",
       "      <td>104.87</td>\n",
       "      <td>112.50</td>\n",
       "      <td>101.69</td>\n",
       "      <td>111.94</td>\n",
       "      <td>4783900.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.369314</td>\n",
       "      <td>3.614454</td>\n",
       "      <td>3.267146</td>\n",
       "      <td>3.596463</td>\n",
       "      <td>133949200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>108.25</td>\n",
       "      <td>110.62</td>\n",
       "      <td>101.19</td>\n",
       "      <td>102.50</td>\n",
       "      <td>4574800.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.477908</td>\n",
       "      <td>3.554053</td>\n",
       "      <td>3.251081</td>\n",
       "      <td>3.293170</td>\n",
       "      <td>128094400.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>103.75</td>\n",
       "      <td>110.56</td>\n",
       "      <td>103.00</td>\n",
       "      <td>104.00</td>\n",
       "      <td>6949300.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.333330</td>\n",
       "      <td>3.552125</td>\n",
       "      <td>3.309234</td>\n",
       "      <td>3.341362</td>\n",
       "      <td>194580400.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>106.12</td>\n",
       "      <td>107.00</td>\n",
       "      <td>95.00</td>\n",
       "      <td>95.00</td>\n",
       "      <td>6856900.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.409475</td>\n",
       "      <td>3.437748</td>\n",
       "      <td>3.052206</td>\n",
       "      <td>3.052206</td>\n",
       "      <td>191993200.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>96.50</td>\n",
       "      <td>101.00</td>\n",
       "      <td>95.50</td>\n",
       "      <td>99.50</td>\n",
       "      <td>4113700.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.0</td>\n",
       "      <td>3.100399</td>\n",
       "      <td>3.244977</td>\n",
       "      <td>3.068270</td>\n",
       "      <td>3.196784</td>\n",
       "      <td>115183600.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              open    high     low   close     volume  ex-dividend  \\\n",
       "Date                                                                 \n",
       "2000-01-03  104.87  112.50  101.69  111.94  4783900.0          0.0   \n",
       "2000-01-04  108.25  110.62  101.19  102.50  4574800.0          0.0   \n",
       "2000-01-05  103.75  110.56  103.00  104.00  6949300.0          0.0   \n",
       "2000-01-06  106.12  107.00   95.00   95.00  6856900.0          0.0   \n",
       "2000-01-07   96.50  101.00   95.50   99.50  4113700.0          0.0   \n",
       "\n",
       "            split_ratio  adj_open  adj_high   adj_low  adj_close   adj_volume  \n",
       "Date                                                                           \n",
       "2000-01-03          1.0  3.369314  3.614454  3.267146   3.596463  133949200.0  \n",
       "2000-01-04          1.0  3.477908  3.554053  3.251081   3.293170  128094400.0  \n",
       "2000-01-05          1.0  3.333330  3.552125  3.309234   3.341362  194580400.0  \n",
       "2000-01-06          1.0  3.409475  3.437748  3.052206   3.052206  191993200.0  \n",
       "2000-01-07          1.0  3.100399  3.244977  3.068270   3.196784  115183600.0  "
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "start, end =\"2000-01-01\", \"2018-01-01\"\n",
    "apple = quandl.get(\"WIKI/AAPL\", start_date=start, end_date=end)\n",
    "apple.columns = [el.lower().replace('.', '').replace(' ', '_') for el in apple.columns]\n",
    "apple.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.rcParams['figure.figsize'] = 16, 8\n",
    "apple['close'].plot(grid=False, rot=90);\n",
    "plt.show();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Strategy\n",
    "[[go back to the top]](#Table-of-contents)\n",
    "\n",
    "From [here](https://github.com/ranaroussi/fix-yahoo-finance) we get:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import fix_yahoo_finance as yf\n",
    "yf.pdr_override() "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The strategy consists in:\n",
    "- Setting the sizes of the short moving window `smw` and long moving window `lmw`\n",
    "- Create an empty `DataFrame` for signals, called `sig`\n",
    "- Fill the columns of `sig` with the SMA and LMA\n",
    "- Fill the `sug` column (starting from row `smw`), inserting ones when the value of column `short_ma` is larger than `long_ma`\n",
    "- Create a column of positions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "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>short_ma</th>\n",
       "      <th>long_ma</th>\n",
       "      <th>signal</th>\n",
       "      <th>pos</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>2000-01-03</th>\n",
       "      <td>111.940000</td>\n",
       "      <td>111.940000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>107.220000</td>\n",
       "      <td>107.220000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>106.146667</td>\n",
       "      <td>106.146667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>103.360000</td>\n",
       "      <td>103.360000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>102.588000</td>\n",
       "      <td>102.588000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-10</th>\n",
       "      <td>101.781667</td>\n",
       "      <td>101.781667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-11</th>\n",
       "      <td>100.491429</td>\n",
       "      <td>100.491429</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-12</th>\n",
       "      <td>98.828750</td>\n",
       "      <td>98.828750</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-13</th>\n",
       "      <td>98.597778</td>\n",
       "      <td>98.597778</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-14</th>\n",
       "      <td>98.782000</td>\n",
       "      <td>98.782000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-18</th>\n",
       "      <td>99.250909</td>\n",
       "      <td>99.250909</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-19</th>\n",
       "      <td>99.860000</td>\n",
       "      <td>99.860000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-20</th>\n",
       "      <td>100.909231</td>\n",
       "      <td>100.909231</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-21</th>\n",
       "      <td>101.652143</td>\n",
       "      <td>101.652143</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-24</th>\n",
       "      <td>101.958667</td>\n",
       "      <td>101.958667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-25</th>\n",
       "      <td>102.601875</td>\n",
       "      <td>102.601875</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-26</th>\n",
       "      <td>103.048235</td>\n",
       "      <td>103.048235</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-27</th>\n",
       "      <td>103.434444</td>\n",
       "      <td>103.434444</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-28</th>\n",
       "      <td>103.338947</td>\n",
       "      <td>103.338947</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-31</th>\n",
       "      <td>103.359500</td>\n",
       "      <td>103.359500</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-01</th>\n",
       "      <td>103.211429</td>\n",
       "      <td>103.211429</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-02</th>\n",
       "      <td>103.011364</td>\n",
       "      <td>103.011364</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-03</th>\n",
       "      <td>103.024348</td>\n",
       "      <td>103.024348</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-04</th>\n",
       "      <td>103.231667</td>\n",
       "      <td>103.231667</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-07</th>\n",
       "      <td>103.664800</td>\n",
       "      <td>103.664800</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-08</th>\n",
       "      <td>104.095769</td>\n",
       "      <td>104.095769</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-09</th>\n",
       "      <td>104.411481</td>\n",
       "      <td>104.411481</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-10</th>\n",
       "      <td>104.736071</td>\n",
       "      <td>104.736071</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-11</th>\n",
       "      <td>104.874483</td>\n",
       "      <td>104.874483</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-02-14</th>\n",
       "      <td>105.239000</td>\n",
       "      <td>105.239000</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-16</th>\n",
       "      <td>160.876395</td>\n",
       "      <td>157.044258</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-17</th>\n",
       "      <td>161.295395</td>\n",
       "      <td>157.287558</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-20</th>\n",
       "      <td>161.747645</td>\n",
       "      <td>157.549958</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-21</th>\n",
       "      <td>162.312395</td>\n",
       "      <td>157.823058</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-22</th>\n",
       "      <td>162.857895</td>\n",
       "      <td>158.135858</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-24</th>\n",
       "      <td>163.376395</td>\n",
       "      <td>158.445358</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-27</th>\n",
       "      <td>163.896645</td>\n",
       "      <td>158.751258</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-28</th>\n",
       "      <td>164.370395</td>\n",
       "      <td>159.041058</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-29</th>\n",
       "      <td>164.762145</td>\n",
       "      <td>159.308558</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-11-30</th>\n",
       "      <td>165.196395</td>\n",
       "      <td>159.585258</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-01</th>\n",
       "      <td>165.636375</td>\n",
       "      <td>159.845158</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-04</th>\n",
       "      <td>165.996625</td>\n",
       "      <td>160.087858</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-05</th>\n",
       "      <td>166.355125</td>\n",
       "      <td>160.326858</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-06</th>\n",
       "      <td>166.684375</td>\n",
       "      <td>160.539258</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-07</th>\n",
       "      <td>167.023175</td>\n",
       "      <td>160.743378</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-08</th>\n",
       "      <td>167.343675</td>\n",
       "      <td>160.941478</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-11</th>\n",
       "      <td>167.760425</td>\n",
       "      <td>161.167378</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-12</th>\n",
       "      <td>168.128175</td>\n",
       "      <td>161.374178</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-13</th>\n",
       "      <td>168.437925</td>\n",
       "      <td>161.593478</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-14</th>\n",
       "      <td>168.731675</td>\n",
       "      <td>161.812978</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-15</th>\n",
       "      <td>169.084425</td>\n",
       "      <td>162.030778</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-18</th>\n",
       "      <td>169.595425</td>\n",
       "      <td>162.267578</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-19</th>\n",
       "      <td>170.054925</td>\n",
       "      <td>162.478378</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-20</th>\n",
       "      <td>170.509425</td>\n",
       "      <td>162.716278</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-21</th>\n",
       "      <td>170.957175</td>\n",
       "      <td>162.971378</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-22</th>\n",
       "      <td>171.422300</td>\n",
       "      <td>163.232978</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-26</th>\n",
       "      <td>171.751300</td>\n",
       "      <td>163.438178</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-27</th>\n",
       "      <td>171.940050</td>\n",
       "      <td>163.572778</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-28</th>\n",
       "      <td>172.049050</td>\n",
       "      <td>163.727878</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2017-12-29</th>\n",
       "      <td>172.053800</td>\n",
       "      <td>163.856278</td>\n",
       "      <td>1.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>4526 rows × 4 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "              short_ma     long_ma  signal  pos\n",
       "Date                                           \n",
       "2000-01-03  111.940000  111.940000     0.0  NaN\n",
       "2000-01-04  107.220000  107.220000     0.0  0.0\n",
       "2000-01-05  106.146667  106.146667     0.0  0.0\n",
       "2000-01-06  103.360000  103.360000     0.0  0.0\n",
       "2000-01-07  102.588000  102.588000     0.0  0.0\n",
       "2000-01-10  101.781667  101.781667     0.0  0.0\n",
       "2000-01-11  100.491429  100.491429     0.0  0.0\n",
       "2000-01-12   98.828750   98.828750     0.0  0.0\n",
       "2000-01-13   98.597778   98.597778     0.0  0.0\n",
       "2000-01-14   98.782000   98.782000     0.0  0.0\n",
       "2000-01-18   99.250909   99.250909     0.0  0.0\n",
       "2000-01-19   99.860000   99.860000     0.0  0.0\n",
       "2000-01-20  100.909231  100.909231     0.0  0.0\n",
       "2000-01-21  101.652143  101.652143     0.0  0.0\n",
       "2000-01-24  101.958667  101.958667     0.0  0.0\n",
       "2000-01-25  102.601875  102.601875     0.0  0.0\n",
       "2000-01-26  103.048235  103.048235     0.0  0.0\n",
       "2000-01-27  103.434444  103.434444     0.0  0.0\n",
       "2000-01-28  103.338947  103.338947     0.0  0.0\n",
       "2000-01-31  103.359500  103.359500     0.0  0.0\n",
       "2000-02-01  103.211429  103.211429     0.0  0.0\n",
       "2000-02-02  103.011364  103.011364     0.0  0.0\n",
       "2000-02-03  103.024348  103.024348     0.0  0.0\n",
       "2000-02-04  103.231667  103.231667     0.0  0.0\n",
       "2000-02-07  103.664800  103.664800     0.0  0.0\n",
       "2000-02-08  104.095769  104.095769     0.0  0.0\n",
       "2000-02-09  104.411481  104.411481     0.0  0.0\n",
       "2000-02-10  104.736071  104.736071     0.0  0.0\n",
       "2000-02-11  104.874483  104.874483     0.0  0.0\n",
       "2000-02-14  105.239000  105.239000     0.0  0.0\n",
       "...                ...         ...     ...  ...\n",
       "2017-11-16  160.876395  157.044258     1.0  0.0\n",
       "2017-11-17  161.295395  157.287558     1.0  0.0\n",
       "2017-11-20  161.747645  157.549958     1.0  0.0\n",
       "2017-11-21  162.312395  157.823058     1.0  0.0\n",
       "2017-11-22  162.857895  158.135858     1.0  0.0\n",
       "2017-11-24  163.376395  158.445358     1.0  0.0\n",
       "2017-11-27  163.896645  158.751258     1.0  0.0\n",
       "2017-11-28  164.370395  159.041058     1.0  0.0\n",
       "2017-11-29  164.762145  159.308558     1.0  0.0\n",
       "2017-11-30  165.196395  159.585258     1.0  0.0\n",
       "2017-12-01  165.636375  159.845158     1.0  0.0\n",
       "2017-12-04  165.996625  160.087858     1.0  0.0\n",
       "2017-12-05  166.355125  160.326858     1.0  0.0\n",
       "2017-12-06  166.684375  160.539258     1.0  0.0\n",
       "2017-12-07  167.023175  160.743378     1.0  0.0\n",
       "2017-12-08  167.343675  160.941478     1.0  0.0\n",
       "2017-12-11  167.760425  161.167378     1.0  0.0\n",
       "2017-12-12  168.128175  161.374178     1.0  0.0\n",
       "2017-12-13  168.437925  161.593478     1.0  0.0\n",
       "2017-12-14  168.731675  161.812978     1.0  0.0\n",
       "2017-12-15  169.084425  162.030778     1.0  0.0\n",
       "2017-12-18  169.595425  162.267578     1.0  0.0\n",
       "2017-12-19  170.054925  162.478378     1.0  0.0\n",
       "2017-12-20  170.509425  162.716278     1.0  0.0\n",
       "2017-12-21  170.957175  162.971378     1.0  0.0\n",
       "2017-12-22  171.422300  163.232978     1.0  0.0\n",
       "2017-12-26  171.751300  163.438178     1.0  0.0\n",
       "2017-12-27  171.940050  163.572778     1.0  0.0\n",
       "2017-12-28  172.049050  163.727878     1.0  0.0\n",
       "2017-12-29  172.053800  163.856278     1.0  0.0\n",
       "\n",
       "[4526 rows x 4 columns]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "smw, lmw = 40, 100\n",
    "sig = pd.DataFrame(index=apple.index, columns = ['short_ma','long_ma' ])\n",
    "sig['signal'], sig['short_ma'], sig['long_ma'] = 0.0, 0.0, 0.0\n",
    "sig['short_ma'] = apple['close'].rolling(window=smw,\n",
    "                                             min_periods=1, \n",
    "                                             center=False).mean()\n",
    "\n",
    "sig['long_ma'] = apple['close'].rolling(window=lmw, \n",
    "                                            min_periods=1, \n",
    "                                            center=False).mean()\n",
    "sig['signal'][smw:] = np.where(sig['short_ma'][smw:] \n",
    "                                            > sig['long_ma'][smw:], 1.0, 0.0)   \n",
    "\n",
    "sig['pos'] = sig['signal'].diff()\n",
    "\n",
    "sig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ylabel, col, cols_ma ='price', 'close', ['short_ma', 'long_ma']\n",
    "afa.plot_function(apple, sig, ylabel, col, cols_ma)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Backtesting Steps\n",
    "[[go back to the top]](#Table-of-contents)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Steps:\n",
    "- Set the initial capital\n",
    "- Buy a $N$ shares\n",
    "- Initialize the portfolio with value owned initially and store the difference in shares owned \n",
    "- Add `holdings`, `cash`, `total` and `r` to portfolio\n",
    "- Plot equity curve \n",
    "- Plot the \"buy\" and \"sellE trades versus the equity curve"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "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>AAPL</th>\n",
       "      <th>hds</th>\n",
       "      <th>cash</th>\n",
       "      <th>tot</th>\n",
       "      <th>r</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",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2000-01-03</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-04</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-05</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-06</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2000-01-07</th>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>2000000.0</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            AAPL  hds       cash        tot    r\n",
       "Date                                            \n",
       "2000-01-03   0.0  0.0  2000000.0  2000000.0  NaN\n",
       "2000-01-04   0.0  0.0  2000000.0  2000000.0  0.0\n",
       "2000-01-05   0.0  0.0  2000000.0  2000000.0  0.0\n",
       "2000-01-06   0.0  0.0  2000000.0  2000000.0  0.0\n",
       "2000-01-07   0.0  0.0  2000000.0  2000000.0  0.0"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "initial_capital, N = 2000000.0, 200\n",
    "pos = pd.DataFrame(index=sig.index).fillna(0.0)\n",
    "pos['AAPL'] = 100*sig['signal']   \n",
    "ptf = pos.multiply(apple['adj_close'], axis=0)\n",
    "pos_diff = pos.diff()\n",
    "ptf['hds'] = (pos.multiply(apple['adj_close'], axis=0)).sum(axis=1)\n",
    "ptf['cash'] = initial_capital - (pos_diff.multiply(apple['adj_close'], axis=0)).sum(axis=1).cumsum()   \n",
    "ptf['tot'] = ptf['cash'] + ptf['hds']\n",
    "ptf['r'] = ptf['tot'].pct_change()\n",
    "\n",
    "ptf.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "df, ylabel, col = ptf, 'portfolio value', 'tot'\n",
    "afa.plot_function_2(df, sig, ylabel, col)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sharpe Ratio and Maximum Drawdown\n",
    "[[go back to the top]](#Table-of-contents)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "sharpe_ratio is: 0.543\n"
     ]
    }
   ],
   "source": [
    "returns = ptf['r']\n",
    "sharpe_ratio = np.sqrt(252)*(returns.mean() / returns.std())\n",
    "print('sharpe_ratio is:',round(sharpe_ratio, 3))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "window = 252\n",
    "rolling_max = apple['adj_close'].rolling(window, min_periods=1).max()\n",
    "daily_drawdown = (apple['adj_close']/rolling_max - 1.0)\n",
    "max_daily_drawdown = daily_drawdown.rolling(window, min_periods=1).min()\n",
    "daily_drawdown.plot()\n",
    "max_daily_drawdown.plot()\n",
    "plt.show();"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.6.6"
  },
  "latex_envs": {
   "LaTeX_envs_menu_present": true,
   "autoclose": false,
   "autocomplete": true,
   "bibliofile": "biblio.bib",
   "cite_by": "apalike",
   "current_citInitial": 1,
   "eqLabelWithNumbers": true,
   "eqNumInitial": 1,
   "hotkeys": {
    "equation": "Ctrl-E",
    "itemize": "Ctrl-I"
   },
   "labels_anchors": false,
   "latex_user_defs": false,
   "report_style_numbering": false,
   "user_envs_cfg": false
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}