python-pour-finance/06-Pandas-avec-Time-Series/.ipynb_checkpoints/Rolling et Expanding-checkp...

672 lines
332 KiB
Plaintext

{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"___\n",
"\n",
"<a href='http://www.pieriandata.com'> <img src='../Pierian_Data_Logo.png' /></a>\n",
"___\n",
"<center>*Copyright Pierian Data 2017*</center>\n",
"<center>*For more information, visit us at www.pieriandata.com*</center>"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Rolling and Expanding\n",
"\n",
"A very common process with time series is to create data based off of a rolling mean. Let's show you how to do this easily with pandas!"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"import pandas as pd\n",
"import matplotlib.pyplot as plt\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"# Best way to read in data with time series index!\n",
"df = pd.read_csv('time_data/walmart_stock.csv',index_col='Date',parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\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>Adj Close</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>2012-01-03</th>\n",
" <td>59.970001</td>\n",
" <td>61.060001</td>\n",
" <td>59.869999</td>\n",
" <td>60.330002</td>\n",
" <td>12668800</td>\n",
" <td>52.619235</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-04</th>\n",
" <td>60.209999</td>\n",
" <td>60.349998</td>\n",
" <td>59.470001</td>\n",
" <td>59.709999</td>\n",
" <td>9593300</td>\n",
" <td>52.078475</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-05</th>\n",
" <td>59.349998</td>\n",
" <td>59.619999</td>\n",
" <td>58.369999</td>\n",
" <td>59.419998</td>\n",
" <td>12768200</td>\n",
" <td>51.825539</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-06</th>\n",
" <td>59.419998</td>\n",
" <td>59.450001</td>\n",
" <td>58.869999</td>\n",
" <td>59.000000</td>\n",
" <td>8069400</td>\n",
" <td>51.459220</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-09</th>\n",
" <td>59.029999</td>\n",
" <td>59.549999</td>\n",
" <td>58.919998</td>\n",
" <td>59.180000</td>\n",
" <td>6679300</td>\n",
" <td>51.616215</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Open High Low Close Volume Adj Close\n",
"Date \n",
"2012-01-03 59.970001 61.060001 59.869999 60.330002 12668800 52.619235\n",
"2012-01-04 60.209999 60.349998 59.470001 59.709999 9593300 52.078475\n",
"2012-01-05 59.349998 59.619999 58.369999 59.419998 12768200 51.825539\n",
"2012-01-06 59.419998 59.450001 58.869999 59.000000 8069400 51.459220\n",
"2012-01-09 59.029999 59.549999 58.919998 59.180000 6679300 51.616215"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x168a615ada0>"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6IAAAFqCAYAAAAA3Od3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nM45ODvuqAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x168a4812550>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['Open'].plot(figsize=(16,6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Now let's add in a rolling mean! This rolling method provides row entries, where every entry is then representative of the window. "
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style>\n",
" .dataframe thead tr:only-child th {\n",
" text-align: right;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: left;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\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>Adj Close</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>2012-01-03</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-04</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-05</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-06</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-09</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-10</th>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-11</th>\n",
" <td>59.495714</td>\n",
" <td>59.895714</td>\n",
" <td>59.074285</td>\n",
" <td>59.440000</td>\n",
" <td>9.007414e+06</td>\n",
" <td>51.842984</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-12</th>\n",
" <td>59.469999</td>\n",
" <td>59.744285</td>\n",
" <td>59.007143</td>\n",
" <td>59.321429</td>\n",
" <td>8.231357e+06</td>\n",
" <td>51.739567</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-13</th>\n",
" <td>59.322857</td>\n",
" <td>59.638571</td>\n",
" <td>58.941428</td>\n",
" <td>59.297143</td>\n",
" <td>7.965071e+06</td>\n",
" <td>51.718386</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-17</th>\n",
" <td>59.397143</td>\n",
" <td>59.708571</td>\n",
" <td>59.105714</td>\n",
" <td>59.358572</td>\n",
" <td>7.355329e+06</td>\n",
" <td>51.771963</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-18</th>\n",
" <td>59.450000</td>\n",
" <td>59.791428</td>\n",
" <td>59.217143</td>\n",
" <td>59.502857</td>\n",
" <td>7.047043e+06</td>\n",
" <td>51.897808</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-19</th>\n",
" <td>59.578572</td>\n",
" <td>59.960000</td>\n",
" <td>59.335715</td>\n",
" <td>59.707143</td>\n",
" <td>7.412086e+06</td>\n",
" <td>52.075984</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-20</th>\n",
" <td>59.767143</td>\n",
" <td>60.180000</td>\n",
" <td>59.577143</td>\n",
" <td>59.988571</td>\n",
" <td>7.908014e+06</td>\n",
" <td>52.321443</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-23</th>\n",
" <td>60.017143</td>\n",
" <td>60.387143</td>\n",
" <td>59.787143</td>\n",
" <td>60.204285</td>\n",
" <td>8.017800e+06</td>\n",
" <td>52.509586</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-24</th>\n",
" <td>60.154286</td>\n",
" <td>60.672857</td>\n",
" <td>59.979999</td>\n",
" <td>60.474285</td>\n",
" <td>8.035857e+06</td>\n",
" <td>52.745077</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-25</th>\n",
" <td>60.440000</td>\n",
" <td>60.958572</td>\n",
" <td>60.270000</td>\n",
" <td>60.749999</td>\n",
" <td>7.776786e+06</td>\n",
" <td>52.985553</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-26</th>\n",
" <td>60.715714</td>\n",
" <td>61.205714</td>\n",
" <td>60.448571</td>\n",
" <td>60.910000</td>\n",
" <td>7.624814e+06</td>\n",
" <td>53.125103</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-27</th>\n",
" <td>60.868572</td>\n",
" <td>61.361429</td>\n",
" <td>60.575714</td>\n",
" <td>61.010000</td>\n",
" <td>7.678514e+06</td>\n",
" <td>53.212323</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-30</th>\n",
" <td>60.945715</td>\n",
" <td>61.445714</td>\n",
" <td>60.661428</td>\n",
" <td>61.108571</td>\n",
" <td>7.450271e+06</td>\n",
" <td>53.298295</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2012-01-31</th>\n",
" <td>61.057143</td>\n",
" <td>61.491429</td>\n",
" <td>60.648571</td>\n",
" <td>61.158571</td>\n",
" <td>7.362086e+06</td>\n",
" <td>53.341905</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" Open High Low Close Volume \\\n",
"Date \n",
"2012-01-03 NaN NaN NaN NaN NaN \n",
"2012-01-04 NaN NaN NaN NaN NaN \n",
"2012-01-05 NaN NaN NaN NaN NaN \n",
"2012-01-06 NaN NaN NaN NaN NaN \n",
"2012-01-09 NaN NaN NaN NaN NaN \n",
"2012-01-10 NaN NaN NaN NaN NaN \n",
"2012-01-11 59.495714 59.895714 59.074285 59.440000 9.007414e+06 \n",
"2012-01-12 59.469999 59.744285 59.007143 59.321429 8.231357e+06 \n",
"2012-01-13 59.322857 59.638571 58.941428 59.297143 7.965071e+06 \n",
"2012-01-17 59.397143 59.708571 59.105714 59.358572 7.355329e+06 \n",
"2012-01-18 59.450000 59.791428 59.217143 59.502857 7.047043e+06 \n",
"2012-01-19 59.578572 59.960000 59.335715 59.707143 7.412086e+06 \n",
"2012-01-20 59.767143 60.180000 59.577143 59.988571 7.908014e+06 \n",
"2012-01-23 60.017143 60.387143 59.787143 60.204285 8.017800e+06 \n",
"2012-01-24 60.154286 60.672857 59.979999 60.474285 8.035857e+06 \n",
"2012-01-25 60.440000 60.958572 60.270000 60.749999 7.776786e+06 \n",
"2012-01-26 60.715714 61.205714 60.448571 60.910000 7.624814e+06 \n",
"2012-01-27 60.868572 61.361429 60.575714 61.010000 7.678514e+06 \n",
"2012-01-30 60.945715 61.445714 60.661428 61.108571 7.450271e+06 \n",
"2012-01-31 61.057143 61.491429 60.648571 61.158571 7.362086e+06 \n",
"\n",
" Adj Close \n",
"Date \n",
"2012-01-03 NaN \n",
"2012-01-04 NaN \n",
"2012-01-05 NaN \n",
"2012-01-06 NaN \n",
"2012-01-09 NaN \n",
"2012-01-10 NaN \n",
"2012-01-11 51.842984 \n",
"2012-01-12 51.739567 \n",
"2012-01-13 51.718386 \n",
"2012-01-17 51.771963 \n",
"2012-01-18 51.897808 \n",
"2012-01-19 52.075984 \n",
"2012-01-20 52.321443 \n",
"2012-01-23 52.509586 \n",
"2012-01-24 52.745077 \n",
"2012-01-25 52.985553 \n",
"2012-01-26 53.125103 \n",
"2012-01-27 53.212323 \n",
"2012-01-30 53.298295 \n",
"2012-01-31 53.341905 "
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# 7 day rolling mean\n",
"df.rolling(7).mean().head(20)"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x168a683d2b0>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAXQAAAEICAYAAABPgw/pAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x168a68219e8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['Open'].plot()\n",
"df.rolling(window=30).mean()['Close'].plot()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Easiest way to add a legend is to make this rolling value a new column, then pandas does it automatically!"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x168a66469e8>"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6IAAAFqCAYAAAAA3Od3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x168a66b20f0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['Close: 30 Day Mean'] = df['Close'].rolling(window=30).mean()\n",
"df[['Close','Close: 30 Day Mean']].plot(figsize=(16,6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## expanding\n",
"\n",
"Now what if you want to take into account everything from the start of the time series as a rolling value? For instance, not just take into account a period of 7 days, or monthly rolling average, but instead, take into everything since the beginning of the time series, continuously:"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x168a67c4c50>"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6IAAAFqCAYAAAAA3Od3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x168a6792080>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Optional specify a minimum number of periods\n",
"df['Close'].expanding(min_periods=1).mean().plot(figsize=(16,6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Bollinger Bands\n",
"\n",
"We will talk a lot more about financial analysis plots and technical indicators, but here is one worth mentioning!\n",
"\n",
"More info : http://www.investopedia.com/terms/b/bollingerbands.asp\n",
"\n",
"*Developed by John Bollinger, Bollinger Bands® are volatility bands placed above and below a moving average. Volatility is based on the standard deviation, which changes as volatility increases and decreases. The bands automatically widen when volatility increases and narrow when volatility decreases. This dynamic nature of Bollinger Bands also means they can be used on different securities with the standard settings. For signals, Bollinger Bands can be used to identify Tops and Bottoms or to determine the strength of the trend.*\n",
"\n",
"*Bollinger Bands reflect direction with the 20-period SMA and volatility with the upper/lower bands. As such, they can be used to determine if prices are relatively high or low. According to Bollinger, the bands should contain 88-89% of price action, which makes a move outside the bands significant. Technically, prices are relatively high when above the upper band and relatively low when below the lower band. However, relatively high should not be regarded as bearish or as a sell signal. Likewise, relatively low should not be considered bullish or as a buy signal. Prices are high or low for a reason. As with other indicators, Bollinger Bands are not meant to be used as a stand alone tool. *"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x168a67c92b0>"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAA6IAAAFqCAYAAAAA3Od3AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIr5SIioiIiIiIiK++v8tCqIarqDQdQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x168a67c4710>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"df['Close: 30 Day Mean'] = df['Close'].rolling(window=20).mean()\n",
"df['Upper'] = df['Close: 30 Day Mean'] + 2*df['Close'].rolling(window=20).std()\n",
"df['Lower'] = df['Close: 30 Day Mean'] - 2*df['Close'].rolling(window=20).std()\n",
"df[['Close','Close: 30 Day Mean','Upper','Lower']].plot(figsize=(16,6))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"For expanding operations, it doesn't help very much to visualize this against the daily data, but instead its a good way to get an idea of the \"stability\" of a stock. This idea of stability and volatility is something we are going to be exploring heavily in the next project, so let's jump straight into it!"
]
}
],
"metadata": {
"anaconda-cloud": {},
"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": "3.6.1"
}
},
"nbformat": 4,
"nbformat_minor": 1
}