{ "metadata": { "name": "" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook is based on matlab code provided through the course \"Monte Carlo Methods in Finance\". \n", "\n", "https://iversity.org/my/courses/monte-carlo-methods-in-finance/\n", "\n", "I attempt to convert all matlab code to a Python version, and try to stay as close as possible as the original implementation. Of course, in many cases I make use of the functionality of Python libraries, such as NumPy, SciPy and pandas. \n", "\n", "To ensure you have all these packages (correctly) installed I recommend installing Python + all relevant packages through a package manager, such as Anaconda, Python(X,Y) or Enthought Canopy." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from __future__ import division\n", "import numpy as np\n", "import pandas as pd" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 2 }, { "cell_type": "heading", "level": 1, "metadata": {}, "source": [ "Week 1" ] }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "europeanOption -- demo 1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this demonstration the price of a European asset is determined through an expected payoff function. This model assumes stocks are described through a log normal distribution.\n", "\n", "The payoff function is passed as an argument to the pricing function 'priceEuropeanOption'." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# quad is a numerical integrator. You pass it a function and integration limits.\n", "from scipy.integrate import quad\n", "\n", "# this object 'norm' is be used to calculate the PDF or CDF or other properties of the normal distribution\n", "from scipy.stats import norm \n", "\n", "def priceEuropeanOption(S0,r,T,sigma,payoff):\n", " def ST(x):\n", " return S0 * np.exp( (r-.5 * sigma**2) * T + sigma * np.sqrt(T) * x )\n", " R = 10\n", " def integrand(x):\n", " return norm.pdf(x) * payoff(ST(x))\n", " discountFactor = np.exp(-r*T)\n", " return discountFactor * quad( integrand , -R, R)[0] " ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 3 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "demo_priceEuropeanOption_asset: Pricing the asset\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Sanity check: the pricing of a stock using priceEuropeanOption should equal its initial price S0." ] }, { "cell_type": "code", "collapsed": false, "input": [ "def demo_priceEuropeanOption_asset():\n", " S0 = 100\n", " sigma = .4\n", " T = 2\n", " def payoff(ST):\n", " return ST\n", " r = .05\n", " return priceEuropeanOption(S0,r,T,sigma,payoff)\n", "\n", "print demo_priceEuropeanOption_asset()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "100.0\n" ] } ], "prompt_number": 4 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "demo_priceEuropeanOption_call: Price of a European call option" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Two demonstrations: the price of a European Call Option (the right but not the obligation to buy the stock at strike K at maturity T) and the pricing of a normal stock. " ] }, { "cell_type": "code", "collapsed": false, "input": [ "def demo_priceEuropeanOption_call():\n", " S0 = 100\n", " sigma = .4\n", " K = 90\n", " T = 2\n", " def payoff(ST):\n", " return np.max([ST - K, 0])\n", " r = .05\n", " return priceEuropeanOption(S0,r,T,sigma,payoff)\n", "\n", "\n", "print demo_priceEuropeanOption_call()" ], "language": "python", "metadata": {}, "outputs": [ { "output_type": "stream", "stream": "stdout", "text": [ "30.761890184\n" ] } ], "prompt_number": 5 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "investmentPortfolio -- demo 2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This demonstration constructs a portfolio of three stocks.\n", "\n", "This requires stock data, which we can load from the yahoo website using the pandas library." ] }, { "cell_type": "code", "collapsed": false, "input": [ "from pandas.io.data import DataReader\n", "from datetime import datetime\n", "import matplotlib.pyplot as plt\n", "S = DataReader([\"IBM\", \"GOOG\", \"SI\"], \"yahoo\", datetime(2007,7,1), datetime(2013,6,30))['Adj Close']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 6 }, { "cell_type": "code", "collapsed": false, "input": [ "S.head()" ], "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>GOOG</th>\n", " <th>IBM</th>\n", " <th>SI</th>\n", " </tr>\n", " <tr>\n", " <th>Date</th>\n", " <th></th>\n", " <th></th>\n", " <th></th>\n", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2007-07-02</th>\n", " <td> 530.38</td>\n", " <td> 93.52</td>\n", " <td> 117.05</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-03</th>\n", " <td> 534.34</td>\n", " <td> 94.92</td>\n", " <td> 120.98</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-05</th>\n", " <td> 541.63</td>\n", " <td> 96.23</td>\n", " <td> 120.87</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-06</th>\n", " <td> 539.40</td>\n", " <td> 97.10</td>\n", " <td> 120.13</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-09</th>\n", " <td> 542.56</td>\n", " <td> 97.05</td>\n", " <td> 122.16</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "metadata": {}, "output_type": "pyout", "prompt_number": 24, "text": [ " GOOG IBM SI\n", "Date \n", "2007-07-02 530.38 93.52 117.05\n", "2007-07-03 534.34 94.92 120.98\n", "2007-07-05 541.63 96.23 120.87\n", "2007-07-06 539.40 97.10 120.13\n", "2007-07-09 542.56 97.05 122.16" ] } ], "prompt_number": 24 }, { "cell_type": "code", "collapsed": false, "input": [ "S.plot();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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bUVRUhPj4eMTExKB3RZH19SQlxfBhy9KbsXt3/nw2BOkTOS5OFTzp4EH2y61p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\nv/jsRuHcOa4rEZGu1/LOHaJvvtGpqF7X7u5dfl7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"text": [ "<matplotlib.figure.Figure at 0xbe103f0>" ] } ], "prompt_number": 7 }, { "cell_type": "code", "collapsed": false, "input": [ "initialValue = 100\n", "normalizedS = initialValue * S / S.ix[0]\n", "normalizedS.plot();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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BBRJ+SMC3175FgagAfw75U22ycShm40Zg+XLg99+B774DZs4EDh4sXuozXuzk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\nRa4VO1ZVIeRzbdxZPneWDdCOfDVCkQsEAoE7I2zkAoFA4CIIG7lAIBC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"text": [ "<matplotlib.figure.Figure at 0xbe10210>" ] } ], "prompt_number": 8 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "demo_investmentPortfolio: Time series of portfolio values from the series of asset prices." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# define composition of portfolio \n", "c = [500, 200, 200]\n", "# construct time series of portfolio; we use the list to ensure the order of the stock matches\n", "P = (S[[\"IBM\", \"GOOG\", \"SI\"]] * c).sum(axis = 1)\n", "# and normalize\n", "normalizedP = initialValue * P / P.ix[0]\n", "\n", "normalizedP.name = \"Portfolio\"\n", "\n", "plt.figure();\n", "normalizedS.plot();\n", "normalizedP.plot();\n", "plt.show();" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "text": [ "<matplotlib.figure.Figure at 0xbe26ed0>" ] }, { "metadata": {}, "output_type": "display_data", "png": 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XhPdEJaEwUADQ07knL/q/KG12awQEQWDalSvIgoI4k1tzQejwggIAUvba4u8P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h/aim4Av5sDazZrb7Ne6HA1EHYLrYFKdiTqFMVIapp6bijzt/4PvO3wMAbk++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\nMhwZybbW1FJXIypAdOAAf79gAZGVFQc7WiIiiG7fJkpOJho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"text": [ "<matplotlib.figure.Figure at 0xbeb2a30>" ] } ], "prompt_number": 10 }, { "cell_type": "heading", "level": 2, "metadata": {}, "source": [ "Returns -- demo 3" ] }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "demo_Bachelier_BlackScholes: Compare Bachelier and Black-Scholes models" ] }, { "cell_type": "code", "collapsed": false, "input": [ "import pandas as pd\n", "from pandas.io.data import DataReader\n", "from datetime import datetime\n", "import matplotlib.pyplot as plt\n", "S = DataReader([\"IBM\", \"GOOG\", \"SI\"], \"yahoo\", datetime(2007,7,1), datetime(2013,6,30))['Adj Close']" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 11 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Defining the changes dS and the log changes r. We combine these into a single dataframe" ] }, { "cell_type": "code", "collapsed": false, "input": [ "Stocks = S.join(S.diff(), rsuffix='_diff' )\n", "Stocks = Stocks.join(np.log(S).diff(), rsuffix='_log_diff' )\n", "Stocks.head()" ], "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>GOOG</th>\n", " <th>IBM</th>\n", " <th>SI</th>\n", " <th>GOOG_diff</th>\n", " <th>IBM_diff</th>\n", " <th>SI_diff</th>\n", " <th>GOOG_log_diff</th>\n", " <th>IBM_log_diff</th>\n", " <th>SI_log_diff</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", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2007-07-02</th>\n", " <td> 530.38</td>\n", " <td> 93.52</td>\n", " <td> 117.05</td>\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>2007-07-03</th>\n", " <td> 534.34</td>\n", " <td> 94.92</td>\n", " <td> 120.98</td>\n", " <td> 3.96</td>\n", " <td> 1.40</td>\n", " <td> 3.93</td>\n", " <td> 0.007439</td>\n", " <td> 0.014859</td>\n", " <td> 0.033024</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-05</th>\n", " <td> 541.63</td>\n", " <td> 96.23</td>\n", " <td> 120.87</td>\n", " <td> 7.29</td>\n", " <td> 1.31</td>\n", " <td>-0.11</td>\n", " <td> 0.013551</td>\n", " <td> 0.013707</td>\n", " <td>-0.000910</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-06</th>\n", " <td> 539.40</td>\n", " <td> 97.10</td>\n", " <td> 120.13</td>\n", " <td>-2.23</td>\n", " <td> 0.87</td>\n", " <td>-0.74</td>\n", " <td>-0.004126</td>\n", " <td> 0.009000</td>\n", " <td>-0.006141</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-09</th>\n", " <td> 542.56</td>\n", " <td> 97.05</td>\n", " <td> 122.16</td>\n", " <td> 3.16</td>\n", " <td>-0.05</td>\n", " <td> 2.03</td>\n", " <td> 0.005841</td>\n", " <td>-0.000515</td>\n", " <td> 0.016757</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "metadata": {}, "output_type": "pyout", "prompt_number": 12, "text": [ " GOOG IBM SI GOOG_diff IBM_diff SI_diff \\\n", "Date \n", "2007-07-02 530.38 93.52 117.05 NaN NaN NaN \n", "2007-07-03 534.34 94.92 120.98 3.96 1.40 3.93 \n", "2007-07-05 541.63 96.23 120.87 7.29 1.31 -0.11 \n", "2007-07-06 539.40 97.10 120.13 -2.23 0.87 -0.74 \n", "2007-07-09 542.56 97.05 122.16 3.16 -0.05 2.03 \n", "\n", " GOOG_log_diff IBM_log_diff SI_log_diff \n", "Date \n", "2007-07-02 NaN NaN NaN \n", "2007-07-03 0.007439 0.014859 0.033024 \n", "2007-07-05 0.013551 0.013707 -0.000910 \n", "2007-07-06 -0.004126 0.009000 -0.006141 \n", "2007-07-09 0.005841 -0.000515 0.016757 " ] } ], "prompt_number": 12 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Make a list of the columns which correspond to returns." ] }, { "cell_type": "code", "collapsed": false, "input": [ "returns = [colnames for colnames in Stocks.columns if colnames.endswith('_diff') ]" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 13 }, { "cell_type": "code", "collapsed": false, "input": [ "nBins = 100\n", "R = 10\n", "Bins = np.linspace(-R, R, nBins)\n", "\n", "# This function computes and plots the histogram, and returns axis objects for each figure\n", "# The axis objects can be used to set things like plotranges and titles.\n", "axes = (Stocks[returns] / (Stocks[returns].quantile(.75) - Stocks[returns].quantile(.25) )).hist(\\\n", " bins = Bins, figsize=(10, S.columns.size * 5), facecolor='w', edgecolor='k', layout = (S.columns.size, 2));\n", "for ax in axes.flatten(): \n", " ax.set_xlim(left = -R, right = R) # enforces axis limits\n", " ax.set_title(ax.get_title() + '_normalized')" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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EAAAiIiJw+vRpAEBJSQkMBoPyOoPBgOLiYhWaSZ5Gr9dDp9O5uxlELYpzHRE5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V43p1e99dZbZsKECWbChAlm7NixgY337LPPNkOHDjXhcNiUlJSYu+++27z33nvmxBNPNKNGjTKV\nlZUmHo973cy8YXO+I9cFlw35zqlcx01EAQAAHOT51YIAAABBwuQKAADAQUyuAAAAHMTkCgAAwEFM\nrgAAABzE5AoAAMBBTK4AAAAcxOQKAADAQf8fGRtk/jx3WYwAAAAASUVORK5CYII=\n", "text": [ "<matplotlib.figure.Figure at 0xbe26050>" ] } ], "prompt_number": 15 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "demo_logReturns: Properties of log returns in a time series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we determine and plot the log returns of the stock data." ] }, { "cell_type": "code", "collapsed": false, "input": [ "# As the name suggests, we use the shift operator to shift the index of S. This computes S[1:] / S[:-1]. \n", "Stocks = S.join( np.log(S / S.shift(1)), rsuffix='_logreturns' )\n", "Stocks.head()" ], "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>GOOG</th>\n", " <th>IBM</th>\n", " <th>SI</th>\n", " <th>GOOG_logreturns</th>\n", " <th>IBM_logreturns</th>\n", " <th>SI_logreturns</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>2007-07-02</th>\n", " <td> 530.38</td>\n", " <td> 93.52</td>\n", " <td> 117.05</td>\n", " <td> NaN</td>\n", " <td> NaN</td>\n", " <td> NaN</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-03</th>\n", " <td> 534.34</td>\n", " <td> 94.92</td>\n", " <td> 120.98</td>\n", " <td> 0.007439</td>\n", " <td> 0.014859</td>\n", " <td> 0.033024</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-05</th>\n", " <td> 541.63</td>\n", " <td> 96.23</td>\n", " <td> 120.87</td>\n", " <td> 0.013551</td>\n", " <td> 0.013707</td>\n", " <td>-0.000910</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-06</th>\n", " <td> 539.40</td>\n", " <td> 97.10</td>\n", " <td> 120.13</td>\n", " <td>-0.004126</td>\n", " <td> 0.009000</td>\n", " <td>-0.006141</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-09</th>\n", " <td> 542.56</td>\n", " <td> 97.05</td>\n", " <td> 122.16</td>\n", " <td> 0.005841</td>\n", " <td>-0.000515</td>\n", " <td> 0.016757</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "metadata": {}, "output_type": "pyout", "prompt_number": 16, "text": [ " GOOG IBM SI GOOG_logreturns IBM_logreturns \\\n", "Date \n", "2007-07-02 530.38 93.52 117.05 NaN NaN \n", "2007-07-03 534.34 94.92 120.98 0.007439 0.014859 \n", "2007-07-05 541.63 96.23 120.87 0.013551 0.013707 \n", "2007-07-06 539.40 97.10 120.13 -0.004126 0.009000 \n", "2007-07-09 542.56 97.05 122.16 0.005841 -0.000515 \n", "\n", " SI_logreturns \n", "Date \n", "2007-07-02 NaN \n", "2007-07-03 0.033024 \n", "2007-07-05 -0.000910 \n", "2007-07-06 -0.006141 \n", "2007-07-09 0.016757 " ] } ], "prompt_number": 16 }, { "cell_type": "code", "collapsed": false, "input": [ "# To fix the order of plotting we construct a list\n", "column_order = []\n", "for i in S.columns: column_order.extend([i, i + '_logreturns'])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 17 }, { "cell_type": "code", "collapsed": false, "input": [ "# The list column_order selects the columns of Stocks in a particular order. No data is copied in this process.\n", "axes = Stocks[column_order].plot(subplots=True, figsize=(10, S.columns.size * 5))" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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IBWDRlbfWrVsL5wgJCalSHmxtbYWBT2u7uvidLpWi6+7du6SgoCBcwp43bx55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\nJ5mrz5wyt7Gx4cSJE/j4+NChQweGD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"text": [ "<matplotlib.figure.Figure at 0xc225af0>" ] } ], "prompt_number": 18 }, { "cell_type": "heading", "level": 4, "metadata": {}, "source": [ "demo_simpleReturns: Properties of returns in a time series" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we also include the ordinary returns of the stocks, and construct a portfolio." ] }, { "cell_type": "code", "collapsed": false, "input": [ "Stocks = Stocks.join( S / S.shift(1), rsuffix='_returns' )\n", "Stocks.head()" ], "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>GOOG</th>\n", " <th>IBM</th>\n", " <th>SI</th>\n", " <th>GOOG_logreturns</th>\n", " <th>IBM_logreturns</th>\n", " <th>SI_logreturns</th>\n", " <th>GOOG_returns</th>\n", " <th>IBM_returns</th>\n", " <th>SI_returns</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", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2007-07-02</th>\n", " <td> 530.38</td>\n", " <td> 93.52</td>\n", " <td> 117.05</td>\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>2007-07-03</th>\n", " <td> 534.34</td>\n", " <td> 94.92</td>\n", " <td> 120.98</td>\n", " <td> 0.007439</td>\n", " <td> 0.014859</td>\n", " <td> 0.033024</td>\n", " <td> 1.007466</td>\n", " <td> 1.014970</td>\n", " <td> 1.033575</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-05</th>\n", " <td> 541.63</td>\n", " <td> 96.23</td>\n", " <td> 120.87</td>\n", " <td> 0.013551</td>\n", " <td> 0.013707</td>\n", " <td>-0.000910</td>\n", " <td> 1.013643</td>\n", " <td> 1.013801</td>\n", " <td> 0.999091</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-06</th>\n", " <td> 539.40</td>\n", " <td> 97.10</td>\n", " <td> 120.13</td>\n", " <td>-0.004126</td>\n", " <td> 0.009000</td>\n", " <td>-0.006141</td>\n", " <td> 0.995883</td>\n", " <td> 1.009041</td>\n", " <td> 0.993878</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-09</th>\n", " <td> 542.56</td>\n", " <td> 97.05</td>\n", " <td> 122.16</td>\n", " <td> 0.005841</td>\n", " <td>-0.000515</td>\n", " <td> 0.016757</td>\n", " <td> 1.005858</td>\n", " <td> 0.999485</td>\n", " <td> 1.016898</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "metadata": {}, "output_type": "pyout", "prompt_number": 19, "text": [ " GOOG IBM SI GOOG_logreturns IBM_logreturns \\\n", "Date \n", "2007-07-02 530.38 93.52 117.05 NaN NaN \n", "2007-07-03 534.34 94.92 120.98 0.007439 0.014859 \n", "2007-07-05 541.63 96.23 120.87 0.013551 0.013707 \n", "2007-07-06 539.40 97.10 120.13 -0.004126 0.009000 \n", "2007-07-09 542.56 97.05 122.16 0.005841 -0.000515 \n", "\n", " SI_logreturns GOOG_returns IBM_returns SI_returns \n", "Date \n", "2007-07-02 NaN NaN NaN NaN \n", "2007-07-03 0.033024 1.007466 1.014970 1.033575 \n", "2007-07-05 -0.000910 1.013643 1.013801 0.999091 \n", "2007-07-06 -0.006141 0.995883 1.009041 0.993878 \n", "2007-07-09 0.016757 1.005858 0.999485 1.016898 " ] } ], "prompt_number": 19 }, { "cell_type": "code", "collapsed": false, "input": [ "# To fix the order of plotting we construct a list\n", "column_order = []\n", "for i in S.columns: column_order.extend([i, i + '_returns'])" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 20 }, { "cell_type": "code", "collapsed": false, "input": [ "Stocks[column_order].plot(subplots=True, figsize=(10, S.columns.size * 5));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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NIBBg586d+Pbbb6Gmpobs7GwoKNStEi4rKwuGhoYoKCjAgAEDcPfuXRw7dgwzZsxocFxS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\nVZ3Nnv/55x+kpqZi6tSpKCoqeqsCT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"text": [ "<matplotlib.figure.Figure at 0xd851210>" ] } ], "prompt_number": 21 }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we look at a portfolio P, and plot its return" ] }, { "cell_type": "code", "collapsed": false, "input": [ "# portfolio weight\n", "c = [500, 200, 200] \n", "\n", "# add portfolio to Stocks\n", "Stocks['P'] = (S[[\"IBM\", \"GOOG\", \"SI\"]] * c).sum(axis = 1)\n", "\n", "# and compute the return of the portfolio\n", "Stocks['P_returns'] = 100 * ( Stocks['P'] / Stocks['P'].shift(1) - 1)\n", "Stocks.head()" ], "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>GOOG</th>\n", " <th>IBM</th>\n", " <th>SI</th>\n", " <th>GOOG_logreturns</th>\n", " <th>IBM_logreturns</th>\n", " <th>SI_logreturns</th>\n", " <th>GOOG_returns</th>\n", " <th>IBM_returns</th>\n", " <th>SI_returns</th>\n", " <th>P</th>\n", " <th>P_returns</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", " </tr>\n", " </thead>\n", " <tbody>\n", " <tr>\n", " <th>2007-07-02</th>\n", " <td> 530.38</td>\n", " <td> 93.52</td>\n", " <td> 117.05</td>\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", " <td> 176246</td>\n", " <td> NaN</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-03</th>\n", " <td> 534.34</td>\n", " <td> 94.92</td>\n", " <td> 120.98</td>\n", " <td> 0.007439</td>\n", " <td> 0.014859</td>\n", " <td> 0.033024</td>\n", " <td> 1.007466</td>\n", " <td> 1.014970</td>\n", " <td> 1.033575</td>\n", " <td> 178524</td>\n", " <td> 1.292512</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-05</th>\n", " <td> 541.63</td>\n", " <td> 96.23</td>\n", " <td> 120.87</td>\n", " <td> 0.013551</td>\n", " <td> 0.013707</td>\n", " <td>-0.000910</td>\n", " <td> 1.013643</td>\n", " <td> 1.013801</td>\n", " <td> 0.999091</td>\n", " <td> 180615</td>\n", " <td> 1.171271</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-06</th>\n", " <td> 539.40</td>\n", " <td> 97.10</td>\n", " <td> 120.13</td>\n", " <td>-0.004126</td>\n", " <td> 0.009000</td>\n", " <td>-0.006141</td>\n", " <td> 0.995883</td>\n", " <td> 1.009041</td>\n", " <td> 0.993878</td>\n", " <td> 180456</td>\n", " <td>-0.088033</td>\n", " </tr>\n", " <tr>\n", " <th>2007-07-09</th>\n", " <td> 542.56</td>\n", " <td> 97.05</td>\n", " <td> 122.16</td>\n", " <td> 0.005841</td>\n", " <td>-0.000515</td>\n", " <td> 0.016757</td>\n", " <td> 1.005858</td>\n", " <td> 0.999485</td>\n", " <td> 1.016898</td>\n", " <td> 181469</td>\n", " <td> 0.561356</td>\n", " </tr>\n", " </tbody>\n", "</table>\n", "</div>" ], "metadata": {}, "output_type": "pyout", "prompt_number": 22, "text": [ " GOOG IBM SI GOOG_logreturns IBM_logreturns \\\n", "Date \n", "2007-07-02 530.38 93.52 117.05 NaN NaN \n", "2007-07-03 534.34 94.92 120.98 0.007439 0.014859 \n", "2007-07-05 541.63 96.23 120.87 0.013551 0.013707 \n", "2007-07-06 539.40 97.10 120.13 -0.004126 0.009000 \n", "2007-07-09 542.56 97.05 122.16 0.005841 -0.000515 \n", "\n", " SI_logreturns GOOG_returns IBM_returns SI_returns P \\\n", "Date \n", "2007-07-02 NaN NaN NaN NaN 176246 \n", "2007-07-03 0.033024 1.007466 1.014970 1.033575 178524 \n", "2007-07-05 -0.000910 1.013643 1.013801 0.999091 180615 \n", "2007-07-06 -0.006141 0.995883 1.009041 0.993878 180456 \n", "2007-07-09 0.016757 1.005858 0.999485 1.016898 181469 \n", "\n", " P_returns \n", "Date \n", "2007-07-02 NaN \n", "2007-07-03 1.292512 \n", "2007-07-05 1.171271 \n", "2007-07-06 -0.088033 \n", "2007-07-09 0.561356 " ] } ], "prompt_number": 22 }, { "cell_type": "code", "collapsed": false, "input": [ "# A plot of how our portfolio is performing\n", "Stocks[['P','P_returns']].plot(subplots=True, figsize=(10, 5));" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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444/J3d290fKlpaX0wQcf0JYtW+izzz4jLS0tUldXJ1tb2+e+xZiVlUVGRkbk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\n/yfP2UcffQTg2cScbf8uLi70XEq570yFbbCTYCVMWUtJH9e8eXN6D82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ICQkJdAyoUKEC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\nb7/9FlWrV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