example/bollinger_bands.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Bollinger Bands Example\n",
    "\n",
    "This example shows up how to use `stock-pandas` and mplfinance to draw a candlestick chart \n",
    "- with bollinger bands\n",
    "- And if the stock price of a certain day crosses up the upper bollinger band or crosses down the lower band, we want to draw a marker to emphasize the price.\n",
    "\n",
    "In the [example](https://github.com/kaelzhang/stock-pandas/tree/master/example) directory, there is a csv file which contains klines of `HK.00700` (TENCENT HOLDINGS LTD) from Oct 15, 2019 to March 9, 2020."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "from stock_pandas import StockDataFrame"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## StockDataFrame(data, date_column=None, *args, **kwargs)\n",
    "\n",
    "`StockDataFrame` accepts all arguments available for `pandas.DataFrame`.\n",
    "\n",
    "Besides, we could specify the optional argument `date_column`, and `StockDataFrame` will convert the `dtype` of the column named `date_column` to `datetime`, then set the column as index.\n",
    "\n",
    "Setting the index of a data frame as `DatetimeIndex` is required by many plotting libraries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<div>\n",
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       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>open</th>\n",
       "      <th>close</th>\n",
       "      <th>high</th>\n",
       "      <th>low</th>\n",
       "      <th>volume</th>\n",
       "      <th>turnover</th>\n",
       "      <th>pe_ratio</th>\n",
       "      <th>turnover_rate</th>\n",
       "      <th>last_close</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>time_key</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>2019-10-15</th>\n",
       "      <td>329.4</td>\n",
       "      <td>328.8</td>\n",
       "      <td>331.6</td>\n",
       "      <td>327.6</td>\n",
       "      <td>14202519</td>\n",
       "      <td>4.679499e+09</td>\n",
       "      <td>34.595</td>\n",
       "      <td>0.00149</td>\n",
       "      <td>328.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-16</th>\n",
       "      <td>330.0</td>\n",
       "      <td>331.0</td>\n",
       "      <td>332.0</td>\n",
       "      <td>328.0</td>\n",
       "      <td>13953191</td>\n",
       "      <td>4.604689e+09</td>\n",
       "      <td>34.827</td>\n",
       "      <td>0.00146</td>\n",
       "      <td>328.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-17</th>\n",
       "      <td>332.8</td>\n",
       "      <td>331.0</td>\n",
       "      <td>332.8</td>\n",
       "      <td>328.4</td>\n",
       "      <td>10339120</td>\n",
       "      <td>3.422302e+09</td>\n",
       "      <td>34.827</td>\n",
       "      <td>0.00108</td>\n",
       "      <td>331.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-18</th>\n",
       "      <td>332.0</td>\n",
       "      <td>331.0</td>\n",
       "      <td>334.2</td>\n",
       "      <td>330.2</td>\n",
       "      <td>9904468</td>\n",
       "      <td>3.288990e+09</td>\n",
       "      <td>34.827</td>\n",
       "      <td>0.00104</td>\n",
       "      <td>331.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2019-10-21</th>\n",
       "      <td>329.6</td>\n",
       "      <td>324.8</td>\n",
       "      <td>330.2</td>\n",
       "      <td>324.8</td>\n",
       "      <td>13947162</td>\n",
       "      <td>4.557080e+09</td>\n",
       "      <td>33.571</td>\n",
       "      <td>0.00146</td>\n",
       "      <td>331.0</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",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-03-03</th>\n",
       "      <td>393.0</td>\n",
       "      <td>394.0</td>\n",
       "      <td>398.8</td>\n",
       "      <td>393.0</td>\n",
       "      <td>21808968</td>\n",
       "      <td>8.631162e+09</td>\n",
       "      <td>40.723</td>\n",
       "      <td>0.00228</td>\n",
       "      <td>389.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-03-04</th>\n",
       "      <td>396.0</td>\n",
       "      <td>394.0</td>\n",
       "      <td>396.0</td>\n",
       "      <td>390.8</td>\n",
       "      <td>19557990</td>\n",
       "      <td>7.691008e+09</td>\n",
       "      <td>40.723</td>\n",
       "      <td>0.00205</td>\n",
       "      <td>394.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-03-05</th>\n",
       "      <td>398.0</td>\n",
       "      <td>406.2</td>\n",
       "      <td>406.8</td>\n",
       "      <td>394.0</td>\n",
       "      <td>27046138</td>\n",
       "      <td>1.087124e+10</td>\n",
       "      <td>41.984</td>\n",
       "      <td>0.00283</td>\n",
       "      <td>394.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-03-06</th>\n",
       "      <td>398.0</td>\n",
       "      <td>395.8</td>\n",
       "      <td>400.2</td>\n",
       "      <td>395.0</td>\n",
       "      <td>30386573</td>\n",
       "      <td>1.205159e+10</td>\n",
       "      <td>40.909</td>\n",
       "      <td>0.00318</td>\n",
       "      <td>406.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2020-03-09</th>\n",
       "      <td>380.0</td>\n",
       "      <td>383.4</td>\n",
       "      <td>384.6</td>\n",
       "      <td>373.6</td>\n",
       "      <td>16232306</td>\n",
       "      <td>6.175187e+09</td>\n",
       "      <td>39.627</td>\n",
       "      <td>0.00170</td>\n",
       "      <td>0.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>100 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "             open  close   high    low    volume      turnover  pe_ratio  \\\n",
       "time_key                                                                   \n",
       "2019-10-15  329.4  328.8  331.6  327.6  14202519  4.679499e+09    34.595   \n",
       "2019-10-16  330.0  331.0  332.0  328.0  13953191  4.604689e+09    34.827   \n",
       "2019-10-17  332.8  331.0  332.8  328.4  10339120  3.422302e+09    34.827   \n",
       "2019-10-18  332.0  331.0  334.2  330.2   9904468  3.288990e+09    34.827   \n",
       "2019-10-21  329.6  324.8  330.2  324.8  13947162  4.557080e+09    33.571   \n",
       "...           ...    ...    ...    ...       ...           ...       ...   \n",
       "2020-03-03  393.0  394.0  398.8  393.0  21808968  8.631162e+09    40.723   \n",
       "2020-03-04  396.0  394.0  396.0  390.8  19557990  7.691008e+09    40.723   \n",
       "2020-03-05  398.0  406.2  406.8  394.0  27046138  1.087124e+10    41.984   \n",
       "2020-03-06  398.0  395.8  400.2  395.0  30386573  1.205159e+10    40.909   \n",
       "2020-03-09  380.0  383.4  384.6  373.6  16232306  6.175187e+09    39.627   \n",
       "\n",
       "            turnover_rate  last_close  \n",
       "time_key                               \n",
       "2019-10-15        0.00149       328.2  \n",
       "2019-10-16        0.00146       328.8  \n",
       "2019-10-17        0.00108       331.0  \n",
       "2019-10-18        0.00104       331.0  \n",
       "2019-10-21        0.00146       331.0  \n",
       "...                   ...         ...  \n",
       "2020-03-03        0.00228       389.6  \n",
       "2020-03-04        0.00205       394.0  \n",
       "2020-03-05        0.00283       394.0  \n",
       "2020-03-06        0.00318       406.2  \n",
       "2020-03-09        0.00170         0.0  \n",
       "\n",
       "[100 rows x 9 columns]"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stock = StockDataFrame(\n",
    "    # Use pandas IO tools to read the csv\n",
    "    pd.read_csv('tencent.csv'), \n",
    "    date_col='time_key'\n",
    ")\n",
    "\n",
    "stock"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import mplfinance as mpf\n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "`mplfinance` requires some columns with capitalized names. \n",
    "\n",
    "We could use `stock.alias()` to create an alias name for column `\"open\"` without duplicating it. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "stock.alias('Open', 'open')\n",
    "stock.alias('High', 'high')\n",
    "stock.alias('Low', 'low')\n",
    "stock.alias('Close', 'close')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "cross_up_upper = stock['high'].copy()\n",
    "\n",
    "# `cross_up_upper` is the series of high prices each of which cross up the upper bollinger band.\n",
    "cross_up_upper[\n",
    "    ~ stock['column:high > boll.upper']\n",
    "] = np.nan\n",
    "# Set some items of the series to `np.nan` so that mplfinance will not draw markers for those items.\n",
    "\n",
    "cross_down_lower = stock['low'].copy()\n",
    "\n",
    "cross_down_lower[\n",
    "    ~ stock['column:low < boll.lower']\n",
    "] = np.nan"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1152x828 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "apds = [\n",
    "    mpf.make_addplot(\n",
    "        stock[\n",
    "            [\n",
    "                # The middle band\n",
    "                'boll', \n",
    "                \n",
    "                # The upper band\n",
    "                # The default period of bollinger bands is 20 days. \n",
    "                # However, we could specify arguments for a command after `:`.\n",
    "                'boll.upper:20',\n",
    "                \n",
    "                # The lower band\n",
    "                # Which is a short cut for 'boll.lower'\n",
    "                'boll.l'\n",
    "            ]\n",
    "        ]\n",
    "    ),\n",
    "    mpf.make_addplot(cross_up_upper, scatter=True, markersize=200, marker='v'),\n",
    "    mpf.make_addplot(cross_down_lower, scatter=True, markersize=200, marker='^'),\n",
    "]\n",
    "\n",
    "# Go plotting! Oh yeah!\n",
    "mpf.plot(stock, type='candle', addplot=apds, figscale=2)"
   ]
  }
 ],
 "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": "3.8.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}