{
"cells": [
{
"cell_type": "markdown",
"metadata": {
"collapsed": false,
"toc": true
},
"source": [
"
Table of Contents \n",
""
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"# Risk measure estimation\n",
"**Camilo Garcia Trillos 2020**\n",
"\n",
"## In this notebook\n",
"\n",
"In this notebook, we build a first complete application: estimating Value at Risk (at level 99%) and Expected Shortfall (at level 95%) for one stock (simplest case). We also look at backtesting."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"#As usual, we start by importing the modules we require. These are:\n",
"\n",
"%matplotlib inline\n",
"import numpy as np\n",
"import pandas as pd\n",
"import scipy.stats as stats\n",
"import matplotlib.pyplot as plt\n",
"from statsmodels.tsa.stattools import adfuller\n",
"from numpy.random import normal"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Acquire and clean data\n",
"\n",
"We start by reading the data from the csv table 'AIG_20171201_15y.csv'. It corresponds to [AIG](https://en.wikipedia.org/wiki/American_International_Group), an insurance company. \n",
"\n",
"Let read the data and perform some basic cleaning procedures:\n",
"\n",
"- Understand what are the entries of the data\n",
"- Guarantee that the type of each entry corresponds to their meaning\n",
"- Check if there are missing data\n",
"- Choose an appropriate index\n",
"- Make a visual inspection in search of abnormal observations\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"We start by [reading](http://pandas.pydata.org/pandas-docs/stable/generated/pandas.read_csv.html) and inspecting the data"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"aig_data = pd.read_csv('~/Data/AIG_20171201_15y.csv')"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" ticker \n",
" date \n",
" open \n",
" high \n",
" low \n",
" close \n",
" volume \n",
" ex-dividend \n",
" split_ratio \n",
" adj_open \n",
" adj_high \n",
" adj_low \n",
" adj_close \n",
" adj_volume \n",
" \n",
" \n",
" \n",
" \n",
" 0 \n",
" AIG \n",
" 2003-01-02 \n",
" 58.10 \n",
" 60.30 \n",
" 57.74 \n",
" 60.30 \n",
" 6276000.0 \n",
" 0.0 \n",
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" 888.000846 \n",
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" \n",
" \n",
" 1 \n",
" AIG \n",
" 2003-01-03 \n",
" 60.05 \n",
" 60.42 \n",
" 59.54 \n",
" 60.12 \n",
" 3894000.0 \n",
" 0.0 \n",
" 1.0 \n",
" 884.319250 \n",
" 889.768012 \n",
" 876.808795 \n",
" 885.350097 \n",
" 194700.0 \n",
" \n",
" \n",
" 2 \n",
" AIG \n",
" 2003-01-06 \n",
" 60.12 \n",
" 62.51 \n",
" 60.10 \n",
" 62.14 \n",
" 5216000.0 \n",
" 0.0 \n",
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" \n",
" \n",
" 3 \n",
" AIG \n",
" 2003-01-07 \n",
" 62.14 \n",
" 62.19 \n",
" 60.60 \n",
" 60.93 \n",
" 5384000.0 \n",
" 0.0 \n",
" 1.0 \n",
" 915.097389 \n",
" 915.833708 \n",
" 892.418761 \n",
" 897.278467 \n",
" 269200.0 \n",
" \n",
" \n",
" 4 \n",
" AIG \n",
" 2003-01-08 \n",
" 60.93 \n",
" 61.49 \n",
" 59.99 \n",
" 60.17 \n",
" 3454000.0 \n",
" 0.0 \n",
" 1.0 \n",
" 897.278467 \n",
" 905.525241 \n",
" 883.435667 \n",
" 886.086416 \n",
" 172700.0 \n",
" \n",
" \n",
"
\n",
"
"
],
"text/plain": [
" ticker date open high low close volume ex-dividend \\\n",
"0 AIG 2003-01-02 58.10 60.30 57.74 60.30 6276000.0 0.0 \n",
"1 AIG 2003-01-03 60.05 60.42 59.54 60.12 3894000.0 0.0 \n",
"2 AIG 2003-01-06 60.12 62.51 60.10 62.14 5216000.0 0.0 \n",
"3 AIG 2003-01-07 62.14 62.19 60.60 60.93 5384000.0 0.0 \n",
"4 AIG 2003-01-08 60.93 61.49 59.99 60.17 3454000.0 0.0 \n",
"\n",
" split_ratio adj_open adj_high adj_low adj_close adj_volume \n",
"0 1.0 855.602805 888.000846 850.301308 888.000846 313800.0 \n",
"1 1.0 884.319250 889.768012 876.808795 885.350097 194700.0 \n",
"2 1.0 885.350097 920.546151 885.055570 915.097389 260800.0 \n",
"3 1.0 915.097389 915.833708 892.418761 897.278467 269200.0 \n",
"4 1.0 897.278467 905.525241 883.435667 886.086416 172700.0 "
]
},
"execution_count": 3,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
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\n",
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" \n",
" \n",
" ticker \n",
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" low \n",
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" 3751 \n",
" AIG \n",
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" \n",
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" 58.76 \n",
" 60.030 \n",
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" 0.0 \n",
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" 60.030 \n",
" 58.5216 \n",
" 59.82 \n",
" 6646298.0 \n",
" \n",
" \n",
" 3753 \n",
" AIG \n",
" 2017-11-29 \n",
" 60.14 \n",
" 61.095 \n",
" 60.0300 \n",
" 60.30 \n",
" 7692124.0 \n",
" 0.0 \n",
" 1.0 \n",
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" 61.095 \n",
" 60.0300 \n",
" 60.30 \n",
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" \n",
" \n",
" 3754 \n",
" AIG \n",
" 2017-11-30 \n",
" 60.63 \n",
" 60.630 \n",
" 59.6850 \n",
" 59.96 \n",
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" 0.0 \n",
" 1.0 \n",
" 60.63 \n",
" 60.630 \n",
" 59.6850 \n",
" 59.96 \n",
" 6505682.0 \n",
" \n",
" \n",
" 3755 \n",
" AIG \n",
" 2017-12-01 \n",
" 60.07 \n",
" 60.200 \n",
" 58.9800 \n",
" 59.88 \n",
" 4520292.0 \n",
" 0.0 \n",
" 1.0 \n",
" 60.07 \n",
" 60.200 \n",
" 58.9800 \n",
" 59.88 \n",
" 4520292.0 \n",
" \n",
" \n",
"
\n",
"
"
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"text/plain": [
" ticker date open high low close volume \\\n",
"3751 AIG 2017-11-27 59.10 59.190 58.6900 58.76 4138130.0 \n",
"3752 AIG 2017-11-28 58.76 60.030 58.5216 59.82 6646298.0 \n",
"3753 AIG 2017-11-29 60.14 61.095 60.0300 60.30 7692124.0 \n",
"3754 AIG 2017-11-30 60.63 60.630 59.6850 59.96 6505682.0 \n",
"3755 AIG 2017-12-01 60.07 60.200 58.9800 59.88 4520292.0 \n",
"\n",
" ex-dividend split_ratio adj_open adj_high adj_low adj_close \\\n",
"3751 0.0 1.0 59.10 59.190 58.6900 58.76 \n",
"3752 0.0 1.0 58.76 60.030 58.5216 59.82 \n",
"3753 0.0 1.0 60.14 61.095 60.0300 60.30 \n",
"3754 0.0 1.0 60.63 60.630 59.6850 59.96 \n",
"3755 0.0 1.0 60.07 60.200 58.9800 59.88 \n",
"\n",
" adj_volume \n",
"3751 4138130.0 \n",
"3752 6646298.0 \n",
"3753 7692124.0 \n",
"3754 6505682.0 \n",
"3755 4520292.0 "
]
},
"execution_count": 4,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Looks like it contains the same information as the APPLE database, but the database starts this time in january 2003.\n",
"Let us check some summary statistics."
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"\n",
"
\n",
" \n",
" \n",
" \n",
" open \n",
" high \n",
" low \n",
" close \n",
" volume \n",
" ex-dividend \n",
" split_ratio \n",
" adj_open \n",
" adj_high \n",
" adj_low \n",
" adj_close \n",
" adj_volume \n",
" \n",
" \n",
" \n",
" \n",
" count \n",
" 3756.000000 \n",
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" 3.756000e+03 \n",
" 3756.000000 \n",
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" 3756.000000 \n",
" 3756.000000 \n",
" 3756.000000 \n",
" 3.756000e+03 \n",
" \n",
" \n",
" mean \n",
" 49.242715 \n",
" 49.782196 \n",
" 48.682516 \n",
" 49.223325 \n",
" 1.674826e+07 \n",
" 0.004122 \n",
" 0.999747 \n",
" 377.098822 \n",
" 380.861430 \n",
" 372.921964 \n",
" 376.843422 \n",
" 7.086081e+06 \n",
" \n",
" \n",
" std \n",
" 18.021010 \n",
" 18.045168 \n",
" 18.006068 \n",
" 18.040136 \n",
" 4.272399e+07 \n",
" 0.136622 \n",
" 0.015501 \n",
" 438.936111 \n",
" 442.652427 \n",
" 434.930261 \n",
" 438.836923 \n",
" 1.846887e+07 \n",
" \n",
" \n",
" min \n",
" 0.370000 \n",
" 0.370000 \n",
" 0.330000 \n",
" 0.350000 \n",
" 9.325000e+05 \n",
" 0.000000 \n",
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" 5.820985 \n",
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" 4.810000e+04 \n",
" \n",
" \n",
" 25% \n",
" 36.655000 \n",
" 37.157900 \n",
" 35.942500 \n",
" 36.480000 \n",
" 5.490000e+06 \n",
" 0.000000 \n",
" 1.000000 \n",
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" 34.253740 \n",
" 32.882840 \n",
" 33.443746 \n",
" 4.568500e+05 \n",
" \n",
" \n",
" 50% \n",
" 54.715000 \n",
" 55.150000 \n",
" 54.315000 \n",
" 54.715000 \n",
" 7.673000e+06 \n",
" 0.000000 \n",
" 1.000000 \n",
" 57.068124 \n",
" 57.721823 \n",
" 56.635160 \n",
" 57.247407 \n",
" 4.412580e+06 \n",
" \n",
" \n",
" 75% \n",
" 62.850000 \n",
" 63.390000 \n",
" 62.217500 \n",
" 62.812500 \n",
" 1.339210e+07 \n",
" 0.000000 \n",
" 1.000000 \n",
" 900.350306 \n",
" 908.020513 \n",
" 890.974656 \n",
" 898.993627 \n",
" 8.394094e+06 \n",
" \n",
" \n",
" max \n",
" 77.350000 \n",
" 77.360000 \n",
" 76.500000 \n",
" 76.770000 \n",
" 1.231086e+09 \n",
" 8.275000 \n",
" 1.000000 \n",
" 1154.477582 \n",
" 1154.626836 \n",
" 1141.791015 \n",
" 1145.820866 \n",
" 8.164460e+08 \n",
" \n",
" \n",
"
\n",
"
"
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"text/plain": [
" open high low close volume \\\n",
"count 3756.000000 3756.000000 3756.000000 3756.000000 3.756000e+03 \n",
"mean 49.242715 49.782196 48.682516 49.223325 1.674826e+07 \n",
"std 18.021010 18.045168 18.006068 18.040136 4.272399e+07 \n",
"min 0.370000 0.370000 0.330000 0.350000 9.325000e+05 \n",
"25% 36.655000 37.157900 35.942500 36.480000 5.490000e+06 \n",
"50% 54.715000 55.150000 54.315000 54.715000 7.673000e+06 \n",
"75% 62.850000 63.390000 62.217500 62.812500 1.339210e+07 \n",
"max 77.350000 77.360000 76.500000 76.770000 1.231086e+09 \n",
"\n",
" ex-dividend split_ratio adj_open adj_high adj_low \\\n",
"count 3756.000000 3756.000000 3756.000000 3756.000000 3756.000000 \n",
"mean 0.004122 0.999747 377.098822 380.861430 372.921964 \n",
"std 0.136622 0.015501 438.936111 442.652427 434.930261 \n",
"min 0.000000 0.050000 5.820985 5.820985 5.191690 \n",
"25% 0.000000 1.000000 33.546644 34.253740 32.882840 \n",
"50% 0.000000 1.000000 57.068124 57.721823 56.635160 \n",
"75% 0.000000 1.000000 900.350306 908.020513 890.974656 \n",
"max 8.275000 1.000000 1154.477582 1154.626836 1141.791015 \n",
"\n",
" adj_close adj_volume \n",
"count 3756.000000 3.756000e+03 \n",
"mean 376.843422 7.086081e+06 \n",
"std 438.836923 1.846887e+07 \n",
"min 5.506338 4.810000e+04 \n",
"25% 33.443746 4.568500e+05 \n",
"50% 57.247407 4.412580e+06 \n",
"75% 898.993627 8.394094e+06 \n",
"max 1145.820866 8.164460e+08 "
]
},
"execution_count": 5,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.describe()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"First, we suspect by comparing the 'count' row, it is likely that there are no missing data. Then, looking at each of the summar statistics (mean,std,min,...) for open, high, low and close (and their respective adjusted versions), they seem rather close, which is a good sign of coherence in the information.\n",
"\n",
"We can now turn our attention to the ifnormation withinto the content It looks that, different to apple, this share did not split but rather diminished the number of shares on the market (split ratio less than one). \n",
"\n",
"Also, there are huge gaps on the prices, but unlike apple share this happens on the **adjusted** prices. Finaly, there are also big differences in the traded volume of shares. \n",
"\n",
"These are things to take into account when looking at the plots. \n",
"\n",
"Let us now see what are datatypes of the entries"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"ticker object\n",
"date object\n",
"open float64\n",
"high float64\n",
"low float64\n",
"close float64\n",
"volume float64\n",
"ex-dividend float64\n",
"split_ratio float64\n",
"adj_open float64\n",
"adj_high float64\n",
"adj_low float64\n",
"adj_close float64\n",
"adj_volume float64\n",
"dtype: object"
]
},
"execution_count": 6,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.dtypes"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Once again we need to fix the date entry type."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"aig_data['date']=pd.to_datetime(aig_data['date'])"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"ticker object\n",
"date datetime64[ns]\n",
"open float64\n",
"high float64\n",
"low float64\n",
"close float64\n",
"volume float64\n",
"ex-dividend float64\n",
"split_ratio float64\n",
"adj_open float64\n",
"adj_high float64\n",
"adj_low float64\n",
"adj_close float64\n",
"adj_volume float64\n",
"dtype: object"
]
},
"execution_count": 8,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.dtypes"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"We can now check we have no missing data, and that the date column is unique (in view of defining it as the index of the database)."
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"ticker False\n",
"date False\n",
"open False\n",
"high False\n",
"low False\n",
"close False\n",
"volume False\n",
"ex-dividend False\n",
"split_ratio False\n",
"adj_open False\n",
"adj_high False\n",
"adj_low False\n",
"adj_close False\n",
"adj_volume False\n",
"dtype: bool"
]
},
"execution_count": 9,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.isnull().any()"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"(3756,) (3756,)\n"
]
}
],
"source": [
"print( np.unique(aig_data['date']).shape, aig_data['date'].shape)"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"aig_data.set_index('date', inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2003-01-02', '2003-01-03', '2003-01-06', '2003-01-07',\n",
" '2003-01-08', '2003-01-09', '2003-01-10', '2003-01-13',\n",
" '2003-01-14', '2003-01-15',\n",
" ...\n",
" '2017-11-17', '2017-11-20', '2017-11-21', '2017-11-22',\n",
" '2017-11-24', '2017-11-27', '2017-11-28', '2017-11-29',\n",
" '2017-11-30', '2017-12-01'],\n",
" dtype='datetime64[ns]', name='date', length=3756, freq=None)"
]
},
"execution_count": 12,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.index"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"We are ready to make some plots: ake four separate plots\n",
"- One with open, close, low, and high for each date\n",
"- One with adj. open, close, low, and high for each date\n",
"-One with split ratio per day\n",
"- One with Adjusted volume per day"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 13,
"metadata": {
"image/png": {
"height": 267,
"width": 369
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.loc[:,['open','close','high','low']].plot(alpha=0.5, title='AIG quote')\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Two very steep changes in a couple of days. Are they caused by splits? Before trying to answer, let us make a 'zoom' of this area"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 16,
"metadata": {
"image/png": {
"height": 275,
"width": 375
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"aux_data = aig_data.loc[(aig_data.index<'20091231') & (aig_data.index>'20080101'),:] \n",
"aux_data[['open','close','high','low']].plot(alpha=0.5, title='AIG quote (2008 and 2009)')\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"The decreasing change is more progressive, although there is a strong decrease around August 2008. At the time the actual effects of the subprime crisis on AIG were being revealed. \n",
"\n",
"The upward tendency occurs quite quickly starting from 2009-07. Now, leat us look at the splits"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 17,
"metadata": {
"image/png": {
"height": 267,
"width": 372
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"aig_data['split_ratio'].plot(title='AIG split ratio')"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/plain": [
"Timestamp('2009-07-01 00:00:00')"
]
},
"execution_count": 20,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.loc[:,'split_ratio'].idxmin()"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.05"
]
},
"execution_count": 21,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data['split_ratio'].min()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"This correspons to the upward trend before. Unlike Apple, this share rather tah aplitting actually merged some stocks!\n",
"\n",
"We can now check the adjusted prices"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 22,
"metadata": {
"image/png": {
"height": 267,
"width": 381
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"aig_data[['adj_open','adj_close','adj_high','adj_low']].plot(alpha=0.5, title='AIG adjusted prices')"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 24,
"metadata": {
"image/png": {
"height": 267,
"width": 369
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"aux_data = aig_data.loc[(aig_data.index>'2009-01-01'),:] \n",
"aux_data[['adj_open','adj_close','adj_high','adj_low']].plot(alpha=0.5, title='AIG adjusted prices (2009 onwards)')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"The picture is grim. The stock lost an important part of its value and has ever since recovered some ground (albeit negligible with respect to initial losses).\n",
"\n",
"Finally, we look at the traded adjusted volume"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 25,
"metadata": {
"image/png": {
"height": 262,
"width": 362
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"aig_data['adj_volume'].plot()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Timestamp('2009-07-01 00:00:00')"
]
},
"execution_count": 28,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data.loc[:,'adj_volume'].idxmax()"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"1635"
]
},
"execution_count": 26,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data['adj_volume'].argmax()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"816446000.0"
]
},
"execution_count": 27,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"aig_data['adj_volume'].max()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"The volume has a very large peak precisely on the date of the split. It is not unlikely, but if this number were relevant to us, we would need to find out what happened that day. "
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"## Risk measure estimation : one day\n",
"\n",
"In the following, we will implement and compare the closed form and historical simualtion approaches for the estimation of value at risk of the changes in the AIG adjusted close price. \n",
"\n",
"To simplify the exercise, we suppose that we want to estimate a one day value at risk. Moreover,we SUPPOSE that we are making the calculations on the 01/01/2008. Therefore, we will only consider the data base before this date.\n",
"\n",
"\n",
"Let us find another database that only takes these dates into consideration"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2007-12-24 925.172558\n",
"2007-12-26 918.077203\n",
"2007-12-27 894.785930\n",
"2007-12-28 893.706202\n",
"2007-12-31 899.259088\n",
"Name: adj_close, dtype: float64"
]
},
"execution_count": 29,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"sub_aig_data = aig_data[aig_data.index< '2008-01-01']\n",
"sub_aig_data = sub_aig_data['adj_close']\n",
"sub_aig_data.tail()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"### Closed form\n",
"\n",
"Remember that the key point to use a close form approximation is to find a suitable risk mapping where the risk factors are Gaussian.\n",
"\n",
"Our candidate is to define as risk factor\n",
"$$F_{t+1}:= \\log(S_{t+1})-\\log(S_t)$$\n",
"\n",
"Let us examine if\n",
"1. This factor seems stationary\n",
"1. This factor seems Gaussian\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### Stationarity"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2003-01-02 NaN\n",
"2003-01-03 -0.002990\n",
"2003-01-06 0.033047\n",
"2003-01-07 -0.019664\n",
"2003-01-08 -0.012552\n",
"Name: adj_close, dtype: float64"
]
},
"execution_count": 30,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"log_returns = np.log(sub_aig_data).diff()\n",
"log_returns.head()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2003-01-03 -0.002990\n",
"2003-01-06 0.033047\n",
"2003-01-07 -0.019664\n",
"2003-01-08 -0.012552\n",
"2003-01-09 0.036391\n",
" ... \n",
"2007-12-24 0.027895\n",
"2007-12-26 -0.007699\n",
"2007-12-27 -0.025697\n",
"2007-12-28 -0.001207\n",
"2007-12-31 0.006194\n",
"Name: adj_close, Length: 1257, dtype: float64"
]
},
"execution_count": 35,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"log_returns.loc[~log_returns.isna()]"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2003-01-03 -0.002990\n",
"2003-01-06 0.033047\n",
"2003-01-07 -0.019664\n",
"2003-01-08 -0.012552\n",
"2003-01-09 0.036391\n",
"Name: adj_close, dtype: float64"
]
},
"execution_count": 36,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"log_returns.drop(log_returns.index[0],inplace=True)\n",
"log_returns.head()"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 37,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 37,
"metadata": {
"image/png": {
"height": 251,
"width": 393
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"log_returns.plot()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Let us also look at variances and covariances within one month periods. "
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2003-01-03 -0.005522\n",
"2003-03-04 0.004358\n",
"2003-05-03 -0.000936\n",
"2003-07-02 0.001668\n",
"2003-08-31 0.000551\n",
"Freq: 60D, Name: adj_close, dtype: float64"
]
},
"execution_count": 39,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"log_returns.resample('60d').mean().head()"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 40,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 40,
"metadata": {
"image/png": {
"height": 277,
"width": 393
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"log_returns.resample('60d').mean().plot(title='Mean for subsamples of size 60 days')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"The mean of each subsample seems to be rather random around a costant mean value. This is not agians stationarity.\n",
"Let us test the standard deviation as well"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 41,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 41,
"metadata": {
"image/png": {
"height": 277,
"width": 385
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"log_returns.resample('60d').std().plot(title='Std. Dev for subsamples of size 60 days')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"This plot seems slighly less random, but still reasonable."
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0, 0.5, 'autocorrelation')"
]
},
"execution_count": 42,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 42,
"metadata": {
"image/png": {
"height": 277,
"width": 402
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"autocorr_vect = [log_returns.autocorr(lag=_) for _ in range(1,30)]\n",
"plt.plot(range(1,30),autocorr_vect)\n",
"plt.title('Estimated autocorreletation vs. lag')\n",
"plt.xlabel('lag')\n",
"plt.ylabel('autocorrelation')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Very small estimated autocorrelation. Finally, let us check the augmented Dickey-Fueller test."
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"0.0"
]
},
"execution_count": 43,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"adfuller(log_returns)[1]"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"All in all, we cannot seem to have enough evidence agains stationnarity. How about normality?"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"#### Normality"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"Text(0.5, 1.0, 'Histogram of log-returns and Gaussian with the same mean and variance')"
]
},
"execution_count": 44,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 44,
"metadata": {
"image/png": {
"height": 263,
"width": 455
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"numbins = int(1+ np.log2(log_returns.count())) \n",
"log_returns.hist(bins = numbins, density=True)\n",
"\n",
"mu_log = np.mean(log_returns)\n",
"sigma_log = np.std(log_returns)\n",
"x_ticks = np.linspace(min(log_returns), max(log_returns),100)\n",
"plt.plot(x_ticks, 1./((2.*np.pi)**0.5 *sigma_log)*np.exp(-((x_ticks - mu_log)/sigma_log)**2/2), 'r')\n",
"plt.title('Histogram of log-returns and Gaussian with the same mean and variance')\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Visually, the fit is not clear, although the divergences are not extraordiary. Let us look at another tool to check this"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"((array([-3.2629588 , -3.00266919, -2.857728 , ..., 2.857728 ,\n",
" 3.00266919, 3.2629588 ]),\n",
" array([-0.11019879, -0.08391532, -0.08365994, ..., 0.05826549,\n",
" 0.0649579 , 0.07269368])),\n",
" (0.014012626662414988, 1.0022667870343473e-05, 0.9547558083408232))"
]
},
"execution_count": 45,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 45,
"metadata": {
"image/png": {
"height": 277,
"width": 406
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"stats.probplot(log_returns,dist='norm', plot=plt)"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"NormaltestResult(statistic=237.92592871947468, pvalue=2.162922844964407e-52)"
]
},
"execution_count": 46,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"stats.normaltest(log_returns) \n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"So the p-value is very small. Yet another indication against normality.\n",
"\n",
"This means we cannot assume full normality of the whole series.\n",
"\n",
"\n",
"Despite the above, for the sake of comparison, let us see what the risk measures would be if assuming normality. Recall from the lecture that the delta approximation gives\n",
"\n",
"$$ \\Delta V_{k+1} \\approx V_k F_{k+1} $$\n",
"\n",
"and so the formulas for the risk measures are\n",
"\n",
"$${\\rm VaR}(\\Delta V_{k+1}) = V_k\\sigma \\Phi(\\alpha) - V_k \\mu_k $$\n",
"$${\\rm ES}(\\Delta V_{k+1}) = V_k\\sigma \\frac{\\phi(\\Phi(\\alpha))}{1-\\alpha} - V_k \\mu_k $$"
]
},
{
"cell_type": "code",
"execution_count": 49,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2007-12-24 925.172558\n",
"2007-12-26 918.077203\n",
"2007-12-27 894.785930\n",
"2007-12-28 893.706202\n",
"2007-12-31 899.259088\n",
"Name: adj_close, dtype: float64"
]
},
"execution_count": 49,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"sub_aig_data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CLOSED FORM: \n",
"Each unit of stock of AIG with closing date 2007-12-31 00:00:00 and closing (adjusted) value of 899.2590883868303 has for one day a VaR at level 0.99 of 30.624608057569294 and a one day ES at level 0.975 of 30.775447760353096 .\n"
]
}
],
"source": [
"alpha_var=0.99\n",
"alpha_es=0.975\n",
"VaR_CF =sub_aig_data.iloc[-1]*( -mu_log + sigma_log*stats.norm.ppf(alpha_var))\n",
"ES_CF =sub_aig_data.iloc[-1]*( -mu_log + sigma_log*stats.norm.pdf(stats.norm.ppf(alpha_es))/(1-alpha_es))\n",
"print('CLOSED FORM: ')\n",
"print('Each unit of stock of AIG with closing date ', sub_aig_data.index[-1], \n",
" ' and closing (adjusted) value of ', sub_aig_data.iloc[-1],\n",
" ' has for one day a VaR at level ', alpha_var, ' of ', VaR_CF,\n",
" ' and a one day ES at level ', alpha_es, ' of ', ES_CF,'.')"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"### Historical simulation: one day"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"We have already tested stationarity, we can calculate directly the historical simulation of one day of value at risk and expected shortfall at the assumed levels. \n",
"\n",
"To do that, we first calculate what would be the P&L between 'today' and 'tomorrow' (that is from 2007/12/31 to 2008/01/01) using as possible outcomes the past values of the log-returns. The formula in this case is simply\n",
"\n",
"$$ \\Delta V_{k+1}^{i} = V_k*(\\exp(F_{k-i})-1) $$\n"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {
"collapsed": false
},
"outputs": [
],
"source": [
"hs_prices = sub_aig_data.iloc[-1] * (np.exp(log_returns)-1)"
]
},
{
"cell_type": "code",
"execution_count": 51,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2003-01-03 -2.684355\n",
"2003-01-06 30.214627\n",
"2003-01-07 -17.510517\n",
"2003-01-08 -11.216755\n",
"2003-01-09 33.328033\n",
"Name: adj_close, dtype: float64"
]
},
"execution_count": 51,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"hs_prices.head()"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Let us look quickly at the histogram of possible changes"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
""
]
},
"execution_count": 52,
"metadata": {
},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"execution_count": 52,
"metadata": {
"image/png": {
"height": 248,
"width": 375
},
"needs_background": "light"
},
"output_type": "execute_result"
}
],
"source": [
"hs_prices.hist(bins=numbins)"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": false
},
"source": [
"Now we calculate the estimators for the position in value at risk and expected shortfall. \n",
"We first order the samples and choose one of the estimators we saw in class. I will simply take the '+' value at risk and its corresponding expected shortfall. **Please remember that observations start at zero**"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/plain": [
"date\n",
"2004-10-14 -93.832229\n",
"2005-04-01 -72.382161\n",
"2003-01-24 -72.170966\n",
"2007-11-07 -60.143839\n",
"2003-02-04 -58.997117\n",
"Name: adj_close, dtype: float64"
]
},
"execution_count": 53,
"metadata": {
},
"output_type": "execute_result"
}
],
"source": [
"hs_prices.sort_values(inplace=True)\n",
"hs_prices.head()"
]
},
{
"cell_type": "code",
"execution_count": 54,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"11 30\n"
]
}
],
"source": [
"ind_var = int( hs_prices.size * (1-alpha_var))-1\n",
"ind_es = int( hs_prices.size * (1-alpha_es))-1\n",
"print(ind_var,ind_es)"
]
},
{
"cell_type": "code",
"execution_count": 55,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Historical Simulation: \n",
"Each unit of stock of AIG with closing date 2007-12-31 00:00:00 and closing (adjusted) value of 899.2590883868303 has for one day a VaR at level 0.99 of 44.16004451899178 and a one day ES at level 0.975 of 40.86661378600221 .\n"
]
}
],
"source": [
"VaR_HS = -1*hs_prices.iloc[ind_var]\n",
"ES_HS = -1*hs_prices.iloc[:ind_es+1].mean()\n",
"\n",
"print('Historical Simulation: ')\n",
"print('Each unit of stock of AIG with closing date ', sub_aig_data.index[-1], \n",
" ' and closing (adjusted) value of ', sub_aig_data.iloc[-1],\n",
" ' has for one day a VaR at level ', alpha_var, ' of ', VaR_HS,\n",
" ' and a one day ES at level ', alpha_es, ' of ', ES_HS,'.')\n"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"Clearly these values represent a significative increase of 44% and 32.7% !"
]
},
{
"cell_type": "code",
"execution_count": 56,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Increase (in %) w.r.t. close form: VaR: 44.197909197655896 ES: 32.78966435916231\n"
]
}
],
"source": [
"print('Increase (in %) w.r.t. close form: VaR:',100*(VaR_HS/VaR_CF-1) , 'ES:',100*(ES_HS/ES_CF-1))"
]
}
],
"metadata": {
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},
"kernelspec": {
"display_name": "Python 3 (system-wide)",
"language": "python",
"metadata": {
"cocalc": {
"description": "Python 3 programming language",
"priority": 100,
"url": "https://www.python.org/"
}
},
"name": "python3",
"resource_dir": "/ext/jupyter/kernels/python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
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},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.7"
},
"toc": {
"base_numbering": 1,
"nav_menu": {
},
"number_sections": true,
"sideBar": true,
"skip_h1_title": true,
"title_cell": "Table of Contents",
"title_sidebar": "Contents",
"toc_cell": true,
"toc_position": {
},
"toc_section_display": true,
"toc_window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 4
}