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@CamilleMo
Created June 18, 2017 10:52
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Bayesian VaR with PyMC3
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"_cell_guid": "ed3cf374-1bac-184e-74c4-6352022fefe3",
"collapsed": false
},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"import pymc3 as pm\n",
"import scipy as sp\n",
"\n",
"import matplotlib.pyplot as plt\n",
"import seaborn as sns\n",
"\n",
"%matplotlib inline"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Generate toy data\n",
"\n",
"2 years of returns from a student distibution with 8 df and sd = 0.4 :"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"_cell_guid": "faef6145-0a57-9009-95f7-4d84ff557442",
"collapsed": false
},
"outputs": [],
"source": [
"data = sp.stats.t.rvs(8, loc = 0, scale = 0.4, size = 504)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
" ## Study the returns"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"_cell_guid": "38a3296d-a543-b8ec-c572-a119a7271697",
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.02568160764702836"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.mean()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"_cell_guid": "0583cbb8-bc4a-6d99-4b34-85ba6d6ab4b1",
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1.7226215061555732"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.max()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-1.70912886213556"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.min()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We can try to estimate parameters thanks to scipy :"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"df_est, loc_est, scale_est = sp.stats.t.fit(data) # df location and scale"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Estimation of Parameters\n",
"Degree of freedom : 17.5264421491\n",
"Mean : 0.0217386967047\n",
"Standard Deviation : 0.437460833311\n"
]
}
],
"source": [
"print ('Estimation of Parameters')\n",
"print ('Degree of freedom : ', df_est)\n",
"print ('Mean : ', loc_est)\n",
"print ('Standard Deviation : ', scale_est)"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"_cell_guid": "0f3ccfa5-6fce-ecff-322c-2479f4826d85",
"collapsed": true
},
"outputs": [],
"source": [
"x = np.linspace (-8, 8, 504)"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"_cell_guid": "1e5e606e-ec7a-5277-e3a0-530e379c6a9e",
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"[<matplotlib.lines.Line2D at 0x1181cbf98>]"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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OMdPby7DX+8J0TqEuzUuhLm1vqrJCY3xijuJqQz0UYrC6UmNGferSvBTq0vaqLevhNBRi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\ngg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x114d31e80>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ax = plt.subplots(1, 1);\n",
"ax.hist(data, bins = 30, normed=True, color = 'grey')\n",
"ax.plot(x, sp.stats.t.pdf(x, 3, scale = scale_est), color = 'red')\n",
"ax.plot(x, sp.stats.norm.pdf(x, scale = scale_est), color = 'green')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A First VaR"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"At first, one could just compute the 5th percentile of the observed data : "
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-1.6768066573720881"
]
},
"execution_count": 10,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.percentile(data, 0.05)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Let's try to draw 2000 samples of 504 observations from the distribution we estimated : "
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": [
"data_simulated = sp.stats.t.rvs(df_est, loc_est, scale_est, size = (2000,504))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-2.01543826, -1.3562936 , -1.31859994, ..., -1.22757805,\n",
" -1.58622303, -1.80276241])"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.percentile(data_simulated, 0.05, axis = 1)"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-1.497438043381792"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.percentile(data_simulated, 0.05, axis = 1).mean()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Below is the distribution of VaRs taken from our sample :"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"//anaconda/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
" y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x114d31550>"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dLXCH6eKmre3VLkmW4Z6be/B6XDzz2nlNmVwDFPhSs6bzRZ47NMZUJs9t13Vw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\nf7AjNyYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1181ebb00>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(np.percentile(data_simulated, 0.05, axis = 1))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"According to my intuition, this approach could be ok if we could be certain of the parameters we estimated earlier which is not the case."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## A Bayesian Approach"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {
"_cell_guid": "60724555-aa7a-7e07-d8b7-04c5fd721323",
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"100%|██████████| 2500/2500 [01:53<00:00, 24.38it/s]\n"
]
}
],
"source": [
"with pm.Model() as model2:\n",
" mu = pm.Normal('mean returns', mu=0, sd=.01, testval=data.mean())\n",
" sigma = pm.HalfCauchy('volatility', beta=1, testval=data.std())\n",
" df = pm.Uniform('df', 0., 10.)\n",
"\n",
" returns = pm.StudentT('returns', nu=df, mu=mu, sd=sigma,\n",
" observed=data)\n",
" \n",
" returns_sim = pm.StudentT('returns_sim', nu=df, mu=mu, sd=sigma, shape = 504)\n",
" \n",
" pm.Deterministic('annual volatility',\n",
" returns.distribution.variance**.5 * np.sqrt(252))\n",
"\n",
" pm.Deterministic('sharpe', returns.distribution.mean /\n",
" returns.distribution.variance**.5 *\n",
" np.sqrt(252))\n",
" \n",
" step = pm.NUTS()\n",
" trace = pm.sample(2000, step)"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"_cell_guid": "5db5932e-87e2-815f-0922-c78b77cf427c",
"collapsed": false
},
"outputs": [
{
"data": {
"image/png": 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I7QcHzRRrynJ80M/RChTSXFTbknUDmg/8n4B1wL2APqI/LYOTQjHZ/H1XLw/8eR+tzjpu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cRngTUAKeUjXZZNoVAoukI+r/Pq6TmeeekSZ68a8Rm7x0N83707OSYim67e1c2EEOIDwL8E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\nIU49vnemjkRqEtwUA9Ppr03XhB/31DQbVi+uPkEqt+JC2NI/Ahy9b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Q6OeGEEjl3RPmdd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\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vcfDhGzYnTZ8qCNlis1p58yUr2bSymR2/3s/vd55k58E+3nn1uthinIJQHAJhJagO2Ab8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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1182fa400>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"pm.traceplot(trace);"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"504"
]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(trace['returns_sim'][0])"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"percentiles = np.percentile(trace['returns_sim'], 0.05, axis = 1)"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([[-0.24997734, 0.37113237, -0.44993306, ..., -0.16581804,\n",
" -0.0034413 , 0.62730626],\n",
" [-0.03069486, -0.32997648, 0.72632171, ..., 0.19922195,\n",
" 0.02399238, -0.42302246],\n",
" [-0.09759646, 0.39702952, -0.55208884, ..., -0.60195092,\n",
" 0.03460164, 0.55997644],\n",
" ..., \n",
" [ 0.00415516, 0.6320403 , -0.14154658, ..., 0.33196563,\n",
" -0.01578671, 0.47064749],\n",
" [-0.05540536, 0.07131875, -0.21332403, ..., -0.49154211,\n",
" 0.02466654, -0.15787506],\n",
" [-0.88260183, -0.59977196, -0.88628565, ..., -0.24760705,\n",
" 0.13141342, -0.74078556]])"
]
},
"execution_count": 19,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"trace['returns_sim']"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"2000"
]
},
"execution_count": 20,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"len(percentiles)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"array([-1.60787008, -1.3173338 , -1.90733657, ..., -1.42773211,\n",
" -1.35546003, -1.25542944])"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"percentiles"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"//anaconda/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
" y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x121ef1240>"
]
},
"execution_count": 22,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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wx0CPH6/byeCIBH61JPCFqBHLsnj19CQO4PoDMmeO3QzDwZ4Bk5GJFJlcodHl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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121ee9208>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(percentiles)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The Bayesian approach gives a weak probability (but not null) that our VaR is below -3. Earlier it was not the case :"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"//anaconda/lib/python3.5/site-packages/statsmodels/nonparametric/kdetools.py:20: VisibleDeprecationWarning: using a non-integer number instead of an integer will result in an error in the future\n",
" y = X[:m/2+1] + np.r_[0,X[m/2+1:],0]*1j\n"
]
},
{
"data": {
"text/plain": [
"<matplotlib.axes._subplots.AxesSubplot at 0x122207668>"
]
},
"execution_count": 25,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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dLXCH6eKmre3VLkmW4Z6be/B6XDzz2nlNmVwDFPhSs6bzRZ47NMZUJs9t13Vw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\nf7AjNyYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x121edeef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"sns.distplot(np.percentile(data_simulated, 0.05, axis = 1))"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-1.731044972808309"
]
},
"execution_count": 23,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"percentiles.mean()"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"-1.6768066573720881"
]
},
"execution_count": 24,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.percentile(data, 0.05)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"_change_revision": 2,
"_is_fork": false,
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python [Root]",
"language": "python",
"name": "Python [Root]"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.5.2"
}
},
"nbformat": 4,
"nbformat_minor": 0
}
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