Skip to content

Instantly share code, notes, and snippets.

@kevindavenport
Last active February 18, 2018 22:41
Show Gist options
  • Save kevindavenport/b42e0a5dfce3bae314b9 to your computer and use it in GitHub Desktop.
Save kevindavenport/b42e0a5dfce3bae314b9 to your computer and use it in GitHub Desktop.
Dynamic Time-Series Modeling
Display the source blob
Display the rendered blob
Raw
{
"metadata": {
"name": "",
"signature": "sha256:c12403483b9a511027bf62a2ac34dd0984133f173da21cf54b9ce6b89b4976f0"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Original blog post at: http://kldavenport.com\n",
"\n",
"Me: https://twitter.com/KevinLDavenport"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"import pandas as pd\n",
"import pandas.io.data as web\n",
"import datetime\n",
"import seaborn as sns\n",
"%pylab inline"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"prompt_number": 21
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Helper function to get data from yahoo finance API \n",
"# as google does not offer adjusted close prices\n",
"oracle_data = web.get_data_yahoo('ORC', '2013-02-15','2014-02-15')\n",
"sap_data = web.get_data_yahoo('SAP', '2013-02-15','2014-02-15')"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 22
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"print pd.concat((sap_data.head(1),sap_data.tail(1)))\n",
"print pd.concat((oracle_data.head(1),oracle_data.tail(1)))\n",
"\n",
"# Only need time-index and daily-close.\n",
"oracle = oracle_data['Adj Close'] \n",
"sap = sap_data['Adj Close']"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
" Open High Low Close Volume Adj Close\n",
"Date \n",
"2013-02-15 80.23 80.49 79.75 80.04 894800 78.87\n",
"2014-02-14 79.68 80.26 79.51 80.15 852800 80.15\n",
"\n",
"[2 rows x 6 columns]\n",
" Open High Low Close Volume Adj Close\n",
"Date \n",
"2013-02-15 14.7 14.83 14.60 14.80 23800 12.48\n",
"2014-02-14 12.5 12.55 12.47 12.52 169500 11.99\n",
"\n",
"[2 rows x 6 columns]\n"
]
}
],
"prompt_number": 23
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Create a dataframe from the two series for ploting\n",
"df = pd.concat([oracle,sap],axis=1) \n",
"df.columns =['Oracle','SAP'] \n",
"\n",
"plt.rcParams['figure.figsize'] = 11, 10\n",
"df.plot(subplots = True); plt.legend(loc='upper right')\n",
"plt.title(\"One Year Daily Adjusted Close Price for Oracle and SAP\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 24,
"text": [
"<matplotlib.text.Text at 0x115e7dfd0>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAo0AAAI+CAYAAADZ8zCWAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n05gUAAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x115ade290>"
]
}
],
"prompt_number": 24
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Compute a day-to-day percentage change array (pd.series) with default settings\n",
"oracle_pc = oracle.pct_change(periods=1, fill_method='pad', limit=None, freq=None)\n",
"sap_pc = sap.pct_change(periods=1, fill_method='pad', limit=None, freq=None)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 25
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"It's intuitive to see the divergence in directionality between Oracle and SAP in the subplots above, but a (arbitrarily chosen) 50-day rolling correlation plot highlights the differences a little better:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.rcParams['figure.figsize'] = 10, 5\n",
"pd.rolling_corr(oracle_pc, sap_pc, window = 50).plot(title = \"One Year 50-day Window Correlation of Oracle with SAP\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 26,
"text": [
"<matplotlib.axes.AxesSubplot at 0x115eafb10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAlYAAAFLCAYAAAAUBcLHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nw609AAAAAElFTkSuQmCC\n",
"text": [
"<matplotlib.figure.Figure at 0x116e3a1d0>"
]
}
],
"prompt_number": 26
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"An even better approach would be to use a function that would convey the differences of volatility, which can be measured in many ways. The most basic parametric method is standard deviation for a given time range. Another method is the relative volatility to stock to a general index or market. This is commonly refered to as the beta. If Oracle has a beta value of 1.3 this would mean that it historically moved 130% for every 100% move in a given benchmark ushc as the S&P 500.\n",
"\n",
"A very basic dynamic volatility model could utilize ordinary least squares:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ols_model = pd.ols(y = oracle_pc, x = {'sap_pc' : sap_pc}, window = 50) # Window attribute makes it dynamic\n",
"ols_model.beta.head(2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>sap_pc</th>\n",
" <th>intercept</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2013-04-30</th>\n",
" <td> 0.116769</td>\n",
" <td>-0.001546</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2013-05-01</th>\n",
" <td> 0.117316</td>\n",
" <td>-0.001457</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>2 rows \u00d7 2 columns</p>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 27,
"text": [
" sap_pc intercept\n",
"Date \n",
"2013-04-30 0.116769 -0.001546\n",
"2013-05-01 0.117316 -0.001457\n",
"\n",
"[2 rows x 2 columns]"
]
}
],
"prompt_number": 27
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The OLS model has allowed to use capture more of the underlying store between these two securities:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"ols_model.beta['sap_pc'].plot(title = \"One Year OLS beta of Oracle with SAP\")"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 28,
"text": [
"<matplotlib.axes.AxesSubplot at 0x116e4ed90>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAmQAAAFLCAYAAAB4A5DCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nQgghhBAq+w+dQEjenZnNkgAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x1122912d0>"
]
}
],
"prompt_number": 28
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"OLS is not sophisticated enough for more advanced use cases due to the assumption that the response variables are Gaussian (Normal). A Generalized Linear Model, however, incorporates other types of distributions and includes a link function g(.) relating the mean \u03bc or the estimated fitted values E(y) to the linear predictor X\u03b2 (\u03b7). There is plenty to learn about with GLM but for now let's continue with practical statistical methods.\n",
"\n",
"Here we utilize the `rolling_mean` function to create new data that will allow us to create a great plot showing a 20 and 50 day Simple Moving Average for the adjusted close time-series data:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"# Reusing our SAP adjusted close data to create a dataframe with a 20 and 50 day simple moving average\n",
"SAPdf = pd.DataFrame(sap_data)\n",
"SAPdf['SMA20'] = pd.stats.moments.rolling_mean(SAPdf['Adj Close'], 20)\n",
"SAPdf['SMA50'] = pd.stats.moments.rolling_mean(SAPdf['Adj Close'], 50)"
],
"language": "python",
"metadata": {},
"outputs": [],
"prompt_number": 29
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"SAPdf.head(2)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\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",
" <th>SMA20</th>\n",
" <th>SMA50</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",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2013-02-15</th>\n",
" <td> 80.23</td>\n",
" <td> 80.49</td>\n",
" <td> 79.75</td>\n",
" <td> 80.04</td>\n",
" <td> 894800</td>\n",
" <td> 78.87</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2013-02-19</th>\n",
" <td> 79.94</td>\n",
" <td> 80.54</td>\n",
" <td> 79.82</td>\n",
" <td> 80.54</td>\n",
" <td> 705700</td>\n",
" <td> 79.36</td>\n",
" <td>NaN</td>\n",
" <td>NaN</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"<p>2 rows \u00d7 8 columns</p>\n",
"</div>"
],
"metadata": {},
"output_type": "pyout",
"prompt_number": 30,
"text": [
" Open High Low Close Volume Adj Close SMA20 SMA50\n",
"Date \n",
"2013-02-15 80.23 80.49 79.75 80.04 894800 78.87 NaN NaN\n",
"2013-02-19 79.94 80.54 79.82 80.54 705700 79.36 NaN NaN\n",
"\n",
"[2 rows x 8 columns]"
]
}
],
"prompt_number": 30
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"plt.rcParams['figure.figsize'] = 11, 7\n",
"\n",
"main = plt.subplot2grid((4,4), (0, 0), rowspan=3, colspan=4)\n",
"main.plot(SAPdf.index, SAPdf['Adj Close'], label='Adj Close')\n",
"main.plot(SAPdf.index, SAPdf['SMA20'], label='SMA20')\n",
"main.plot(SAPdf.index, SAPdf['SMA50'], label='SMA50')\n",
"main.axes.xaxis.set_ticklabels([])\n",
"\n",
"plt.title('One Year SAP Daily Adj Close w/ 20 & 50 day SMA')\n",
"plt.legend()\n",
"\n",
"vol = plt.subplot2grid((4,4), (3,0), rowspan=1, colspan=4)\n",
"vol.bar(SAPdf.index, SAPdf['Volume'])\n",
"\n",
"plt.title('SAP Daily Volume')\n",
"\n",
"# savefig('img.png', bbox_inches='tight', transparent=True)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "pyout",
"prompt_number": 31,
"text": [
"<matplotlib.text.Text at 0x116e24d10>"
]
},
{
"metadata": {},
"output_type": "display_data",
"png": "iVBORw0KGgoAAAANSUhEUgAAAqEAAAGyCAYAAADUCB32AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nCRUREREREREREXns/B97wMpvERDxJwAAAABJRU5ErkJggg==\n",
"text": [
"<matplotlib.figure.Figure at 0x115e40210>"
]
}
],
"prompt_number": 31
}
],
"metadata": {}
}
]
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment