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@yhilpisch
Last active May 9, 2020 13:02
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src='http://hilpisch.com/tpq_logo.png' width=\"300px\" align=\"right\">"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# FPQ Bootcamp &mdash; Day 2"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"**Mean-Variance Portfolio Theory**"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Financial Data"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import numpy as np\n",
"import pandas as pd\n",
"from pylab import plt\n",
"plt.style.use('seaborn')\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"raw = pd.read_csv('http://hilpisch.com/tr_eikon_eod_data.csv',\n",
" index_col=0, parse_dates=True)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>MSFT.O</th>\n",
" <th>INTC.O</th>\n",
" <th>AMZN.O</th>\n",
" <th>GS.N</th>\n",
" <th>SPY</th>\n",
" <th>.SPX</th>\n",
" <th>.VIX</th>\n",
" <th>EUR=</th>\n",
" <th>XAU=</th>\n",
" <th>GDX</th>\n",
" <th>GLD</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",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-04</th>\n",
" <td>30.572827</td>\n",
" <td>30.950</td>\n",
" <td>20.88</td>\n",
" <td>133.90</td>\n",
" <td>173.08</td>\n",
" <td>113.33</td>\n",
" <td>1132.99</td>\n",
" <td>20.04</td>\n",
" <td>1.4411</td>\n",
" <td>1120.00</td>\n",
" <td>47.71</td>\n",
" <td>109.80</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" <td>30.960</td>\n",
" <td>20.87</td>\n",
" <td>134.69</td>\n",
" <td>176.14</td>\n",
" <td>113.63</td>\n",
" <td>1136.52</td>\n",
" <td>19.35</td>\n",
" <td>1.4368</td>\n",
" <td>1118.65</td>\n",
" <td>48.17</td>\n",
" <td>109.70</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" <td>30.770</td>\n",
" <td>20.80</td>\n",
" <td>132.25</td>\n",
" <td>174.26</td>\n",
" <td>113.71</td>\n",
" <td>1137.14</td>\n",
" <td>19.16</td>\n",
" <td>1.4412</td>\n",
" <td>1138.50</td>\n",
" <td>49.34</td>\n",
" <td>111.51</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" <td>30.452</td>\n",
" <td>20.60</td>\n",
" <td>130.00</td>\n",
" <td>177.67</td>\n",
" <td>114.19</td>\n",
" <td>1141.69</td>\n",
" <td>19.06</td>\n",
" <td>1.4318</td>\n",
" <td>1131.90</td>\n",
" <td>49.10</td>\n",
" <td>110.82</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" <td>30.660</td>\n",
" <td>20.83</td>\n",
" <td>133.52</td>\n",
" <td>174.31</td>\n",
" <td>114.57</td>\n",
" <td>1144.98</td>\n",
" <td>18.13</td>\n",
" <td>1.4412</td>\n",
" <td>1136.10</td>\n",
" <td>49.84</td>\n",
" <td>111.37</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O MSFT.O INTC.O AMZN.O GS.N SPY .SPX .VIX \\\n",
"Date \n",
"2010-01-04 30.572827 30.950 20.88 133.90 173.08 113.33 1132.99 20.04 \n",
"2010-01-05 30.625684 30.960 20.87 134.69 176.14 113.63 1136.52 19.35 \n",
"2010-01-06 30.138541 30.770 20.80 132.25 174.26 113.71 1137.14 19.16 \n",
"2010-01-07 30.082827 30.452 20.60 130.00 177.67 114.19 1141.69 19.06 \n",
"2010-01-08 30.282827 30.660 20.83 133.52 174.31 114.57 1144.98 18.13 \n",
"\n",
" EUR= XAU= GDX GLD \n",
"Date \n",
"2010-01-04 1.4411 1120.00 47.71 109.80 \n",
"2010-01-05 1.4368 1118.65 48.17 109.70 \n",
"2010-01-06 1.4412 1138.50 49.34 111.51 \n",
"2010-01-07 1.4318 1131.90 49.10 110.82 \n",
"2010-01-08 1.4412 1136.10 49.84 111.37 "
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"raw.head()"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"DatetimeIndex(['2010-01-04', '2010-01-05', '2010-01-06', '2010-01-07',\n",
" '2010-01-08', '2010-01-11', '2010-01-12', '2010-01-13',\n",
" '2010-01-14', '2010-01-15',\n",
" ...\n",
" '2017-10-18', '2017-10-19', '2017-10-20', '2017-10-23',\n",
" '2017-10-24', '2017-10-25', '2017-10-26', '2017-10-27',\n",
" '2017-10-30', '2017-10-31'],\n",
" dtype='datetime64[ns]', name='Date', length=1972, freq=None)"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"raw.index"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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Tz3bYUi41MqpyqJJ8IkWXVIj2L9ct6/V+FouFGVWFMcnr6dp9tDHhWKszdSX6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\nKhEREZE4qaASERERidP/A26ZpRgdMi8CAAAAAElFTkSuQmCC\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109071518>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"raw['AAPL.O'].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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HEEKInrfEvQS240BtWPvvK23wPr7g2NG9MqaOaDVqUhJbGyprNOEnRa/e0Vp7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\nRK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x1091166a0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"raw[['AAPL.O', 'MSFT.O', 'INTC.O']].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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LPT09LF26nG996/ZjVoSUlBTz858/Q2enGYfDwdy58/nWt25Hpxs9SYVCCDHW1beY+cXf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\nRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f068470>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"raw[['AAPL.O', 'MSFT.O', 'INTC.O']].iloc[-500:].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Tuf8Tue8g/e+t//bKFgCmZuVjThn89/Pkm7vRa7V86/IZw9a+oRqrSfjXACnAaiAdiLJY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\njBEBJgiCIAiCMMaIABMEQRAEQRhj/j/URjr05pkujQAAAABJRU5ErkJggg==\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f284438>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"to_plot = raw[['AAPL.O', 'MSFT.O', 'INTC.O']].iloc[-500:]\n",
"(to_plot / to_plot.iloc[0]).plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [],
"source": [
"rets = np.log(to_plot / to_plot.shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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ioSVJktQQCy1JkqSGWGhJkiQ1xEJLkiSpIcO9DqCF44Rzru91BEmSusoeLUmS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\nhhYAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f30cef0>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"rets.hist(bins=35, figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>MSFT.O</th>\n",
" <th>INTC.O</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>count</th>\n",
" <td>499.000000</td>\n",
" <td>499.000000</td>\n",
" <td>499.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>mean</th>\n",
" <td>0.000669</td>\n",
" <td>0.000832</td>\n",
" <td>0.000593</td>\n",
" </tr>\n",
" <tr>\n",
" <th>std</th>\n",
" <td>0.013469</td>\n",
" <td>0.012238</td>\n",
" <td>0.012729</td>\n",
" </tr>\n",
" <tr>\n",
" <th>min</th>\n",
" <td>-0.067965</td>\n",
" <td>-0.074411</td>\n",
" <td>-0.095432</td>\n",
" </tr>\n",
" <tr>\n",
" <th>25%</th>\n",
" <td>-0.005260</td>\n",
" <td>-0.004684</td>\n",
" <td>-0.005214</td>\n",
" </tr>\n",
" <tr>\n",
" <th>50%</th>\n",
" <td>0.000666</td>\n",
" <td>0.000395</td>\n",
" <td>0.001139</td>\n",
" </tr>\n",
" <tr>\n",
" <th>75%</th>\n",
" <td>0.007314</td>\n",
" <td>0.007043</td>\n",
" <td>0.006873</td>\n",
" </tr>\n",
" <tr>\n",
" <th>max</th>\n",
" <td>0.062940</td>\n",
" <td>0.062147</td>\n",
" <td>0.071167</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O MSFT.O INTC.O\n",
"count 499.000000 499.000000 499.000000\n",
"mean 0.000669 0.000832 0.000593\n",
"std 0.013469 0.012238 0.012729\n",
"min -0.067965 -0.074411 -0.095432\n",
"25% -0.005260 -0.004684 -0.005214\n",
"50% 0.000666 0.000395 0.001139\n",
"75% 0.007314 0.007043 0.006873\n",
"max 0.062940 0.062147 0.071167"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.describe()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AAPL.O 0.168597\n",
"MSFT.O 0.209644\n",
"INTC.O 0.149407\n",
"dtype: float64"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.mean() * 252"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AAPL.O 0.213815\n",
"MSFT.O 0.194277\n",
"INTC.O 0.202070\n",
"dtype: float64"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.std() * 252 ** 0.5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adding Simple Statistics"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"data = pd.DataFrame(raw['AAPL.O'].copy())"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" </tr>\n",
" <tr>\n",
" <th>Date</th>\n",
" <th></th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2010-01-04</th>\n",
" <td>30.572827</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O\n",
"Date \n",
"2010-01-04 30.572827\n",
"2010-01-05 30.625684\n",
"2010-01-06 30.138541\n",
"2010-01-07 30.082827\n",
"2010-01-08 30.282827"
]
},
"execution_count": 15,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [],
"source": [
"data['SMA1'] = data['AAPL.O'].rolling(42).mean()"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [],
"source": [
"data['SMA2'] = data['AAPL.O'].rolling(252).mean()"
]
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</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>2017-10-25</th>\n",
" <td>156.41</td>\n",
" <td>157.610952</td>\n",
" <td>139.862520</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-26</th>\n",
" <td>157.41</td>\n",
" <td>157.514286</td>\n",
" <td>140.028472</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-27</th>\n",
" <td>163.05</td>\n",
" <td>157.517619</td>\n",
" <td>140.221210</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-30</th>\n",
" <td>166.72</td>\n",
" <td>157.597857</td>\n",
" <td>140.431528</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2017-10-31</th>\n",
" <td>169.04</td>\n",
" <td>157.717857</td>\n",
" <td>140.651766</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2\n",
"Date \n",
"2017-10-25 156.41 157.610952 139.862520\n",
"2017-10-26 157.41 157.514286 140.028472\n",
"2017-10-27 163.05 157.517619 140.221210\n",
"2017-10-30 166.72 157.597857 140.431528\n",
"2017-10-31 169.04 157.717857 140.651766"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.tail()"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"data": {
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ICdIDEBzY/JJAua2SfeUHSAiKI9wQNiD3tWdnUf7F56j0euJu+hWqDnKaHU+O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gAa9+2hfusWcidPImv21ST36dPhzxAREZGTU0F1iurqWwC46/oJPPiHlW3T7336H1Q1VpPQdycJ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\nEKmgEhEREQmRCioRERGREP1/XyLl2BFH+jAAAAAASUVORK5CYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x109010ac8>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [],
"source": [
"data.dropna(inplace=True)"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>SMA1</th>\n",
" <th>SMA2</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>2010-12-31</th>\n",
" <td>46.079954</td>\n",
" <td>45.280967</td>\n",
" <td>37.120735</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-03</th>\n",
" <td>47.081381</td>\n",
" <td>45.349708</td>\n",
" <td>37.186246</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-04</th>\n",
" <td>47.327096</td>\n",
" <td>45.412599</td>\n",
" <td>37.252521</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-05</th>\n",
" <td>47.714238</td>\n",
" <td>45.466102</td>\n",
" <td>37.322266</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2011-01-06</th>\n",
" <td>47.675667</td>\n",
" <td>45.522565</td>\n",
" <td>37.392079</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O SMA1 SMA2\n",
"Date \n",
"2010-12-31 46.079954 45.280967 37.120735\n",
"2011-01-03 47.081381 45.349708 37.186246\n",
"2011-01-04 47.327096 45.412599 37.252521\n",
"2011-01-05 47.714238 45.466102 37.322266\n",
"2011-01-06 47.675667 45.522565 37.392079"
]
},
"execution_count": 21,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [],
"source": [
"data['Position'] = np.where(data['SMA1'] > data['SMA2'], 1, -1)"
]
},
{
"cell_type": "code",
"execution_count": 23,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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Sxph3hVDNeeNTSdLQmLdUVwYuaUDqcCKpw3tUORpzXVzuRB1ZomoycEmSSlfD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\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f4d7630>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data['Position'].plot(figsize=(10, 6));"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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yAMbEeSYEvmxCLxpavSMH8FwmTHiXBHRCCCGEcCsqs3D7K7+5n9emt/rg290A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+fIEQJeD1anE3tiIvbEZBzJyZLkV4h2yFca0dkkoBNtqq33sq+gkpT4yMYxdF6/lwNVh8h2ZTE8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\nYII=\n",
"text/plain": [
"<matplotlib.figure.Figure at 0x10f354898>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"data.plot(figsize=(10, 6), secondary_y='Position');"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mean-Variance Portfolio Implementation"
]
},
{
"cell_type": "code",
"execution_count": 25,
"metadata": {},
"outputs": [],
"source": [
"symbols = ['AAPL.O', 'MSFT.O', 'GLD']"
]
},
{
"cell_type": "code",
"execution_count": 26,
"metadata": {},
"outputs": [],
"source": [
"data = raw[symbols].copy()"
]
},
{
"cell_type": "code",
"execution_count": 27,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>MSFT.O</th>\n",
" <th>GLD</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>2010-01-04</th>\n",
" <td>30.572827</td>\n",
" <td>30.950</td>\n",
" <td>109.80</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-05</th>\n",
" <td>30.625684</td>\n",
" <td>30.960</td>\n",
" <td>109.70</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-06</th>\n",
" <td>30.138541</td>\n",
" <td>30.770</td>\n",
" <td>111.51</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-07</th>\n",
" <td>30.082827</td>\n",
" <td>30.452</td>\n",
" <td>110.82</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2010-01-08</th>\n",
" <td>30.282827</td>\n",
" <td>30.660</td>\n",
" <td>111.37</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O MSFT.O GLD\n",
"Date \n",
"2010-01-04 30.572827 30.950 109.80\n",
"2010-01-05 30.625684 30.960 109.70\n",
"2010-01-06 30.138541 30.770 111.51\n",
"2010-01-07 30.082827 30.452 110.82\n",
"2010-01-08 30.282827 30.660 111.37"
]
},
"execution_count": 27,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"data.head()"
]
},
{
"cell_type": "code",
"execution_count": 28,
"metadata": {},
"outputs": [],
"source": [
"rets = np.log(data / data.shift(1))"
]
},
{
"cell_type": "code",
"execution_count": 29,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AAPL.O 0.218633\n",
"MSFT.O 0.126401\n",
"GLD 0.012069\n",
"dtype: float64"
]
},
"execution_count": 29,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mu = rets.mean() * 252\n",
"mu"
]
},
{
"cell_type": "code",
"execution_count": 30,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"[0.3333333333333333, 0.3333333333333333, 0.3333333333333333]"
]
},
"execution_count": 30,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"phi = len(symbols) * [1 / len(symbols)]\n",
"phi"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [],
"source": [
"def pret(phi):\n",
" return np.dot(mu, phi)"
]
},
{
"cell_type": "code",
"execution_count": 32,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.11903438130039927"
]
},
"execution_count": 32,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pret(phi)"
]
},
{
"cell_type": "code",
"execution_count": 33,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.11903438130039928"
]
},
"execution_count": 33,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"mu.mean()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>MSFT.O</th>\n",
" <th>GLD</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>AAPL.O</th>\n",
" <td>1.000000</td>\n",
" <td>0.394134</td>\n",
" <td>0.035644</td>\n",
" </tr>\n",
" <tr>\n",
" <th>MSFT.O</th>\n",
" <td>0.394134</td>\n",
" <td>1.000000</td>\n",
" <td>-0.011429</td>\n",
" </tr>\n",
" <tr>\n",
" <th>GLD</th>\n",
" <td>0.035644</td>\n",
" <td>-0.011429</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O MSFT.O GLD\n",
"AAPL.O 1.000000 0.394134 0.035644\n",
"MSFT.O 0.394134 1.000000 -0.011429\n",
"GLD 0.035644 -0.011429 1.000000"
]
},
"execution_count": 34,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.corr()"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"text/html": [
"<div>\n",
"<style scoped>\n",
" .dataframe tbody tr th:only-of-type {\n",
" vertical-align: middle;\n",
" }\n",
"\n",
" .dataframe tbody tr th {\n",
" vertical-align: top;\n",
" }\n",
"\n",
" .dataframe thead th {\n",
" text-align: right;\n",
" }\n",
"</style>\n",
"<table border=\"1\" class=\"dataframe\">\n",
" <thead>\n",
" <tr style=\"text-align: right;\">\n",
" <th></th>\n",
" <th>AAPL.O</th>\n",
" <th>MSFT.O</th>\n",
" <th>GLD</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>AAPL.O</th>\n",
" <td>0.064899</td>\n",
" <td>0.022504</td>\n",
" <td>0.001510</td>\n",
" </tr>\n",
" <tr>\n",
" <th>MSFT.O</th>\n",
" <td>0.022504</td>\n",
" <td>0.050234</td>\n",
" <td>-0.000426</td>\n",
" </tr>\n",
" <tr>\n",
" <th>GLD</th>\n",
" <td>0.001510</td>\n",
" <td>-0.000426</td>\n",
" <td>0.027666</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" AAPL.O MSFT.O GLD\n",
"AAPL.O 0.064899 0.022504 0.001510\n",
"MSFT.O 0.022504 0.050234 -0.000426\n",
"GLD 0.001510 -0.000426 0.027666"
]
},
"execution_count": 35,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.cov() * 252"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"def pvol(phi):\n",
" return np.dot(phi, np.dot(rets.cov() * 252, phi)) ** 0.5"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.14528733533863245"
]
},
"execution_count": 37,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pvol(phi)"
]
},
{
"cell_type": "code",
"execution_count": 38,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"AAPL.O 0.254753\n",
"MSFT.O 0.224130\n",
"GLD 0.166330\n",
"dtype: float64"
]
},
"execution_count": 38,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"rets.std() * 252 ** 0.5"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Monte Carlo Simulation"
]
},
{
"cell_type": "code",
"execution_count": 39,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.20146958, 0.04853712, 0.98574507],\n",
" [ 0.46034915, 0.50173791, 0.89093072],\n",
" [ 0.30634799, 0.39855043, 0.48028633],\n",
" [ 0.92698654, 0.70118103, 0.23247684],\n",
" [ 0.47719399, 0.14834413, 0.67410893],\n",
" [ 0.49209011, 0.08818809, 0.77895522],\n",
" [ 0.6142994 , 0.44321306, 0.2200568 ],\n",
" [ 0.9428107 , 0.40605855, 0.45405863],\n",
" [ 0.48713431, 0.23899986, 0.87917285],\n",
" [ 0.26687006, 0.01067845, 0.36674005]])"
]
},
"execution_count": 39,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pc = np.random.random((500, len(symbols)))\n",
"pc[:10]"
]
},
{
"cell_type": "code",
"execution_count": 40,
"metadata": {},
"outputs": [],
"source": [
"pc = (pc.T / pc.sum(axis=1)).T"
]
},
{
"cell_type": "code",
"execution_count": 41,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.16303402, 0.0392774 , 0.79768858],\n",
" [ 0.24843213, 0.270768 , 0.48079987],\n",
" [ 0.25848121, 0.33627705, 0.40524174],\n",
" [ 0.49820725, 0.37684848, 0.12494426],\n",
" [ 0.36717198, 0.11414186, 0.51868616],\n",
" [ 0.36203503, 0.06488076, 0.57308422],\n",
" [ 0.48083452, 0.34691901, 0.17224647],\n",
" [ 0.52293312, 0.22522174, 0.25184514],\n",
" [ 0.30345243, 0.14888109, 0.54766648],\n",
" [ 0.41420891, 0.01657402, 0.56921707]])"
]
},
"execution_count": 41,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pc[:10]"
]
},
{
"cell_type": "code",
"execution_count": 42,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([ 1., 1., 1., 1., 1., 1., 1., 1., 1., 1.])"
]
},
"execution_count": 42,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pc.sum(axis=1)[:10]"
]
},
{
"cell_type": "code",
"execution_count": 43,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[ 0.16303402 0.0392774 0.79768858]\n",
"[ 0.24843213 0.270768 0.48079987]\n",
"[ 0.25848121 0.33627705 0.40524174]\n",
"[ 0.49820725 0.37684848 0.12494426]\n",
"[ 0.36717198 0.11414186 0.51868616]\n",
"[ 0.36203503 0.06488076 0.57308422]\n",
"[ 0.48083452 0.34691901 0.17224647]\n",
"[ 0.52293312 0.22522174 0.25184514]\n",
"[ 0.30345243 0.14888109 0.54766648]\n",
"[ 0.41420891 0.01657402 0.56921707]\n"
]
}
],
"source": [
"for phi in pc[:10]:\n",
" print(phi)"
]
},
{
"cell_type": "code",
"execution_count": 44,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"CPU times: user 331 ms, sys: 5.43 ms, total: 336 ms\n",
"Wall time: 343 ms\n"
]
}
],
"source": [
"%time res = np.array([(pvol(phi), pret(phi)) for phi in pc])"
]
},
{
"cell_type": "code",
"execution_count": 45,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.14163611, 0.05023686],\n",
" [ 0.13176236, 0.09434368],\n",
" [ 0.13664703, 0.10390919],\n",
" [ 0.17964586, 0.15806653],\n",
" [ 0.13877328, 0.10096376],\n",
" [ 0.13948517, 0.09427055],\n",
" [ 0.17198404, 0.15105607],\n",
" [ 0.16643448, 0.1458383 ],\n",
" [ 0.13361715, 0.09177338],\n",
" [ 0.14534625, 0.09952482]])"
]
},
"execution_count": 45,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"res[:10]"
]
},
{
"cell_type": "code",
"execution_count": 46,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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