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April 8, 2013 15:48
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Finance Programming Challenge
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{ | |
"metadata": { | |
"name": "Finance Programming Challenge" | |
}, | |
"nbformat": 3, | |
"nbformat_minor": 0, | |
"worksheets": [ | |
{ | |
"cells": [ | |
{ | |
"cell_type": "markdown", | |
"metadata": {}, | |
"source": "# Example of brownian simulation of correlated assets\nAuthor: Yaser Martinez ([email protected])" | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Import data" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "from pandas.io.data import DataReader\nfrom pandas import Panel, DataFrame\n\nsymbols = ['AAPL', 'GLD', 'SPX', 'MCD']\ndata = dict((symbol, DataReader(symbol, \"yahoo\", pause=1)) for symbol in symbols)\npanel = Panel(data).swapaxes('items', 'minor')\nclosing = panel['Close'].dropna()\nclosing.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>AAPL</th>\n <th>GLD</th>\n <th>MCD</th>\n <th>SPX</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>2010-01-04</th>\n <td> 214.01</td>\n <td> 109.80</td>\n <td> 62.78</td>\n <td> 1132.99</td>\n </tr>\n <tr>\n <th>2010-01-05</th>\n <td> 214.38</td>\n <td> 109.70</td>\n <td> 62.30</td>\n <td> 1136.52</td>\n </tr>\n <tr>\n <th>2010-01-06</th>\n <td> 210.97</td>\n <td> 111.51</td>\n <td> 61.45</td>\n <td> 1137.14</td>\n </tr>\n <tr>\n <th>2010-01-07</th>\n <td> 210.58</td>\n <td> 110.82</td>\n <td> 61.90</td>\n <td> 1141.69</td>\n </tr>\n <tr>\n <th>2010-01-08</th>\n <td> 211.98</td>\n <td> 111.37</td>\n <td> 61.84</td>\n <td> 1144.98</td>\n </tr>\n </tbody>\n</table>\n</div>", | |
"output_type": "pyout", | |
"prompt_number": 327, | |
"text": " AAPL GLD MCD SPX\nDate \n2010-01-04 214.01 109.80 62.78 1132.99\n2010-01-05 214.38 109.70 62.30 1136.52\n2010-01-06 210.97 111.51 61.45 1137.14\n2010-01-07 210.58 110.82 61.90 1141.69\n2010-01-08 211.98 111.37 61.84 1144.98" | |
} | |
], | |
"prompt_number": 327 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Calculate log returns" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "rets = log(closing / closing.shift(1)).dropna()\nrets.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>AAPL</th>\n <th>GLD</th>\n <th>MCD</th>\n <th>SPX</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>2010-01-05</th>\n <td> 0.001727</td>\n <td>-0.000911</td>\n <td>-0.007675</td>\n <td> 0.003111</td>\n </tr>\n <tr>\n <th>2010-01-06</th>\n <td>-0.016034</td>\n <td> 0.016365</td>\n <td>-0.013738</td>\n <td> 0.000545</td>\n </tr>\n <tr>\n <th>2010-01-07</th>\n <td>-0.001850</td>\n <td>-0.006207</td>\n <td> 0.007296</td>\n <td> 0.003993</td>\n </tr>\n <tr>\n <th>2010-01-08</th>\n <td> 0.006626</td>\n <td> 0.004951</td>\n <td>-0.000970</td>\n <td> 0.002878</td>\n </tr>\n <tr>\n <th>2010-01-11</th>\n <td>-0.008861</td>\n <td> 0.013202</td>\n <td> 0.007732</td>\n <td> 0.001745</td>\n </tr>\n </tbody>\n</table>\n</div>", | |
"output_type": "pyout", | |
"prompt_number": 330, | |
"text": " AAPL GLD MCD SPX\nDate \n2010-01-05 0.001727 -0.000911 -0.007675 0.003111\n2010-01-06 -0.016034 0.016365 -0.013738 0.000545\n2010-01-07 -0.001850 -0.006207 0.007296 0.003993\n2010-01-08 0.006626 0.004951 -0.000970 0.002878\n2010-01-11 -0.008861 0.013202 0.007732 0.001745" | |
} | |
], | |
"prompt_number": 330 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Correlation Matrix" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "corr_matrix = rets.corr()\ncorr_matrix", | |
"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>AAPL</th>\n <th>GLD</th>\n <th>MCD</th>\n <th>SPX</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>AAPL</th>\n <td> 1.000000</td>\n <td> 0.109635</td>\n <td> 0.437949</td>\n <td> 0.674097</td>\n </tr>\n <tr>\n <th>GLD</th>\n <td> 0.109635</td>\n <td> 1.000000</td>\n <td> 0.043489</td>\n <td> 0.062988</td>\n </tr>\n <tr>\n <th>MCD</th>\n <td> 0.437949</td>\n <td> 0.043489</td>\n <td> 1.000000</td>\n <td> 0.656816</td>\n </tr>\n <tr>\n <th>SPX</th>\n <td> 0.674097</td>\n <td> 0.062988</td>\n <td> 0.656816</td>\n <td> 1.000000</td>\n </tr>\n </tbody>\n</table>\n</div>", | |
"output_type": "pyout", | |
"prompt_number": 333, | |
"text": " AAPL GLD MCD SPX\nAAPL 1.000000 0.109635 0.437949 0.674097\nGLD 0.109635 1.000000 0.043489 0.062988\nMCD 0.437949 0.043489 1.000000 0.656816\nSPX 0.674097 0.062988 0.656816 1.000000" | |
} | |
], | |
"prompt_number": 333 | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "from pandas.tools.plotting import scatter_matrix\nscatter_matrix(rets);", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
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UWyVwBr3eSH7+OCAThaIUJ6cwlMoiXFzCqKn5BUGo5r33zqLXO/Hqq0/fExNe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7AAAg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\nT9nlNBDQVQAAAABJRU5ErkJggg==\n" | |
} | |
], | |
"prompt_number": 332 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Cholesky decomposition" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "from scipy.linalg import cholesky\nupper_cholesky = cholesky(corr_matrix, lower=False)\nupper_cholesky", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "pyout", | |
"prompt_number": 477, | |
"text": "array([[ 1. , 0.1096348 , 0.43794883, 0.67409701],\n [ 0. , 0.99397194, -0.0045527 , -0.01098306],\n [ 0. , 0. , 0.89898837, 0.40216998],\n [ 0. , 0. , 0. , 0.61946098]])" | |
} | |
], | |
"prompt_number": 477 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Simulation parameters" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "import numpy as np \nfrom pandas import bdate_range # business days\n\nn_days = 21\ndates = bdate_range(start=closing.ix[-1].name, periods=n_days)\nn_assets = len(symbols)\nn_sims = 1000\ndt = 1./252\nmu = rets.mean().values\nsigma = rets.std().values*sqrt(252)", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 478 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Generate correlated random values" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "np.random.seed(1234) # init random number generator for reproducibility\nrand_values = np.random.standard_normal(size = (n_days * n_sims, n_assets)) #\ncorr_values = rand_values.dot(upper_cholesky)*sigma", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [], | |
"prompt_number": 479 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Run simulation" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "prices = Panel(items=range(n_sims), minor_axis=symbols, major_axis=dates)\nprices.ix[:, 0, :] = closing.ix[-1].values.repeat(1000).reshape(4,1000).T # set initial values\nfor i in range(1,n_days):\n prices.ix[:, i, :] = prices.ix[:, i-1,:] * (exp((mu-0.5*sigma**2)*dt + sqrt(dt)*corr_values[i::n_days])).T \n\nprices.ix[123, :, :].head() # show random path", | |
"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>AAPL</th>\n <th>GLD</th>\n <th>SPX</th>\n <th>MCD</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>2012-02-28</th>\n <td> 535.410000</td>\n <td> 173.490000</td>\n <td> 99.780000</td>\n <td> 1372.180000</td>\n </tr>\n <tr>\n <th>2012-02-29</th>\n <td> 547.310382</td>\n <td> 174.539791</td>\n <td> 100.924528</td>\n <td> 1391.873396</td>\n </tr>\n <tr>\n <th>2012-03-01</th>\n <td> 534.543518</td>\n <td> 172.692190</td>\n <td> 100.821153</td>\n <td> 1374.889527</td>\n </tr>\n <tr>\n <th>2012-03-02</th>\n <td> 544.831807</td>\n <td> 174.571169</td>\n <td> 100.795917</td>\n <td> 1387.215461</td>\n </tr>\n <tr>\n <th>2012-03-05</th>\n <td> 552.211109</td>\n <td> 174.831278</td>\n <td> 100.966015</td>\n <td> 1377.812960</td>\n </tr>\n </tbody>\n</table>\n</div>", | |
"output_type": "pyout", | |
"prompt_number": 476, | |
"text": " AAPL GLD SPX MCD\n2012-02-28 535.410000 173.490000 99.780000 1372.180000\n2012-02-29 547.310382 174.539791 100.924528 1391.873396\n2012-03-01 534.543518 172.692190 100.821153 1374.889527\n2012-03-02 544.831807 174.571169 100.795917 1387.215461\n2012-03-05 552.211109 174.831278 100.966015 1377.812960" | |
} | |
], | |
"prompt_number": 476 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Plot results" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "prices.ix[::10, :, 'AAPL'].plot(title='AAPL', legend=False);", | |
"language": "python", | |
"metadata": {}, | |
"outputs": [ | |
{ | |
"output_type": "display_data", | |
"png": 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8eVy7di137tzJEydOMCQkhA8ePGBmZmalQtIO3DlA82Xm3BS66YVtS92TyiuO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\nVO6vpNniZvi/5o/MXkZtbS3T9k6jprSIL1MX4ni3Fml5MY6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VkSraJrRFpv6dGku6JzC4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\nEgAAAABJRU5ErkJggg==\n" | |
} | |
], | |
"prompt_number": 494 | |
}, | |
{ | |
"cell_type": "heading", | |
"level": 3, | |
"metadata": {}, | |
"source": "Statistics for last day" | |
}, | |
{ | |
"cell_type": "code", | |
"collapsed": false, | |
"input": "prices.ix[:, -1, :].T.describe()", | |
"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>AAPL</th>\n <th>GLD</th>\n <th>SPX</th>\n <th>MCD</th>\n </tr>\n </thead>\n <tbody>\n <tr>\n <th>count</th>\n <td> 1000.000000</td>\n <td> 1000.000000</td>\n <td> 1000.000000</td>\n <td> 1000.000000</td>\n </tr>\n <tr>\n <th>mean</th>\n <td> 534.728790</td>\n <td> 173.417570</td>\n <td> 99.765811</td>\n <td> 1371.308193</td>\n </tr>\n <tr>\n <th>std</th>\n <td> 40.688914</td>\n <td> 9.112519</td>\n <td> 4.551123</td>\n <td> 79.247050</td>\n </tr>\n <tr>\n <th>min</th>\n <td> 425.787101</td>\n <td> 148.962399</td>\n <td> 84.650493</td>\n <td> 1114.362541</td>\n </tr>\n <tr>\n <th>25%</th>\n <td> 506.171829</td>\n <td> 166.906347</td>\n <td> 96.620250</td>\n <td> 1316.489327</td>\n </tr>\n <tr>\n <th>50%</th>\n <td> 532.238778</td>\n <td> 173.336567</td>\n <td> 99.615630</td>\n <td> 1369.100657</td>\n </tr>\n <tr>\n <th>75%</th>\n <td> 562.116316</td>\n <td> 179.445001</td>\n <td> 102.683910</td>\n <td> 1423.921975</td>\n </tr>\n <tr>\n <th>max</th>\n <td> 650.844673</td>\n <td> 201.725832</td>\n <td> 114.880801</td>\n <td> 1607.852707</td>\n </tr>\n </tbody>\n</table>\n</div>", | |
"output_type": "pyout", | |
"prompt_number": 485, | |
"text": " AAPL GLD SPX MCD\ncount 1000.000000 1000.000000 1000.000000 1000.000000\nmean 534.728790 173.417570 99.765811 1371.308193\nstd 40.688914 9.112519 4.551123 79.247050\nmin 425.787101 148.962399 84.650493 1114.362541\n25% 506.171829 166.906347 96.620250 1316.489327\n50% 532.238778 173.336567 99.615630 1369.100657\n75% 562.116316 179.445001 102.683910 1423.921975\nmax 650.844673 201.725832 114.880801 1607.852707" | |
} | |
], | |
"prompt_number": 485 | |
} | |
], | |
"metadata": {} | |
} | |
] | |
} |
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