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@alexander-myltsev
Last active January 15, 2019 20:09
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import yapo as y\n",
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2010-12 2018-12\n"
]
}
],
"source": [
"asset_gm = y.portfolio_asset(name='ny/GM', currency='usd')\n",
"ror_gm = asset_gm.rate_of_return()\n",
"df_gm = pd.DataFrame({\n",
" 'ror': ror_gm.values,\n",
" 'date': pd.period_range(ror_gm.start_period, ror_gm.end_period, freq='M'),\n",
"})\n",
"df_gm = df_gm\n",
"print(df_gm.date.min(), df_gm.date.max())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Откуда в семинаре на 1:18:09 данные для GM с 90 по 99 год?!"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Статистические показатели доходности для компаний GM и MSFT с 1990 по 1999 гг."
]
},
{
"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>ror_gm</th>\n",
" <th>ror_msft</th>\n",
" <th>year</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>-0.1154</td>\n",
" <td>0.7299</td>\n",
" <td>1990</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>-0.1135</td>\n",
" <td>1.2176</td>\n",
" <td>1991</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.1654</td>\n",
" <td>0.1511</td>\n",
" <td>1992</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.7264</td>\n",
" <td>-0.0556</td>\n",
" <td>1993</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>-0.2176</td>\n",
" <td>0.5163</td>\n",
" <td>1994</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.2813</td>\n",
" <td>0.4356</td>\n",
" <td>1995</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>0.0846</td>\n",
" <td>0.8832</td>\n",
" <td>1996</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.1900</td>\n",
" <td>0.5643</td>\n",
" <td>1997</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.2109</td>\n",
" <td>1.1460</td>\n",
" <td>1998</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>0.2134</td>\n",
" <td>0.6836</td>\n",
" <td>1999</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ror_gm ror_msft year\n",
"0 -0.1154 0.7299 1990\n",
"1 -0.1135 1.2176 1991\n",
"2 0.1654 0.1511 1992\n",
"3 0.7264 -0.0556 1993\n",
"4 -0.2176 0.5163 1994\n",
"5 0.2813 0.4356 1995\n",
"6 0.0846 0.8832 1996\n",
"7 0.1900 0.5643 1997\n",
"8 0.2109 1.1460 1998\n",
"9 0.2134 0.6836 1999"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.DataFrame({\n",
" 'ror_gm': [-11.54, -11.35, 16.54, 72.64, -21.76, 28.13, 8.46, 19.00, 21.09, 21.34],\n",
" 'ror_msft': [72.99, 121.76, 15.11, -5.56, 51.63, 43.56, 88.32, 56.43, 114.60, 68.36],\n",
" 'year': range(1990, 2000),\n",
"})\n",
"df.ror_gm /= 100.\n",
"df.ror_msft /= 100.\n",
"df"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Средние значения"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.14255"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"0.6272"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(df.ror_gm.mean(), df.ror_msft.mean())"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Дисперсия"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.0637763485"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"0.144284268"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(np.var(df.ror_gm), np.var(df.ror_msft))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Стандартное отклонение"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.25253979587383846"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/plain": [
"0.37984769052871703"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"display(np.std(df.ror_gm.values), np.std(df.ror_msft))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Ковариация"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### По определению"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"-0.05522028000000001"
]
},
"execution_count": 7,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.mean((df.ror_gm - df.ror_gm.mean()) * (df.ror_msft - df.ror_msft.mean()))"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"#### Встроенной функцией"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"array([[ 0.06377635, -0.05522028],\n",
" [-0.05522028, 0.14428427]])"
]
},
"execution_count": 8,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"np.cov(df[['ror_gm', 'ror_msft']].values, rowvar=0, ddof=0)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Корреляция"
]
},
{
"cell_type": "code",
"execution_count": 9,
"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>ror_gm</th>\n",
" <th>ror_msft</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>ror_gm</th>\n",
" <td>1.000000</td>\n",
" <td>-0.575651</td>\n",
" </tr>\n",
" <tr>\n",
" <th>ror_msft</th>\n",
" <td>-0.575651</td>\n",
" <td>1.000000</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" ror_gm ror_msft\n",
"ror_gm 1.000000 -0.575651\n",
"ror_msft -0.575651 1.000000"
]
},
"execution_count": 9,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df[['ror_gm', 'ror_msft']].corr()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Доходность компаний MSFT и GM"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"import statsmodels.api as sm\n",
"\n",
"model = sm.OLS(df.ror_msft, sm.add_constant(df.ror_gm)).fit()\n",
"\n",
"plt.scatter(df.ror_gm, df.ror_msft)\n",
"\n",
"X_plot = np.linspace(df.ror_gm.min(), df.ror_gm.max(), 100)\n",
"plt.plot(X_plot, X_plot * model.params[1] + model.params[0])\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Портфель акций компаний GM и MSFT"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0 0.30725\n",
"1 0.55205\n",
"2 0.15825\n",
"3 0.33540\n",
"4 0.14935\n",
"5 0.35845\n",
"6 0.48390\n",
"7 0.37715\n",
"8 0.67845\n",
"9 0.44850\n",
"dtype: float64"
]
},
"execution_count": 11,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"weights = { 'gm': .5, 'msft': .5 }\n",
"\n",
"portfolio__50_50 = df[['ror_gm', 'ror_msft']].dot(list(weights.values()))\n",
"\n",
"portfolio__50_50"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.38487499999999997"
]
},
"execution_count": 12,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p_mean = portfolio__50_50.mean()\n",
"p_mean"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.024405014125"
]
},
"execution_count": 13,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p_var = portfolio__50_50.var(ddof=0)\n",
"p_var"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"0.1562210425166853"
]
},
"execution_count": 14,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"p_std = portfolio__50_50.std(ddof=0)\n",
"p_std"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Построим первую точку на кривой доходности для портфеля `50%/50%`"
]
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.scatter([p_std], [p_mean])\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Обобщим: посчитаем точки на кривой доходности для разных соотношений активов в портфеле"
]
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"portfolio_means = []\n",
"portfolio_stds = []\n",
"\n",
"ror_msft_mean = df.ror_msft.mean()\n",
"ror_gm_mean = df.ror_gm.mean()\n",
"\n",
"ror_msft_std = df.ror_msft.std(ddof=0)\n",
"ror_gm_std = df.ror_gm.std(ddof=0)\n",
"ror_cov = np.cov(df[['ror_gm', 'ror_msft']].values, rowvar=0, ddof=0)[0, 1]\n",
"\n",
"for w_gm in np.linspace(0, 1, 21):\n",
" w_msft = 1. - w_gm\n",
"\n",
" portfolio_mean = np.array([ror_gm_mean, ror_msft_mean]).dot([w_gm, w_msft])\n",
" portfolio_var = (w_gm * ror_gm_std)**2 + (w_msft * ror_msft_std)**2 + 2 * w_gm * w_msft * ror_cov\n",
" portfolio_std = np.sqrt(portfolio_var)\n",
" \n",
" portfolio_means.append(portfolio_mean)\n",
" portfolio_stds.append(portfolio_std)\n",
"\n",
"plt.plot(portfolio_stds, portfolio_means)\n",
"plt.scatter(portfolio_stds, portfolio_means)\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Эквивалентный по результату способ, но вычислительно более трудоёмкий, на основе пересчёта статистик по всем значениям:"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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iEnwU7gHEXfXo3IzRvJ7bfXG0uqmVMTERPDx/IvfnpJOdOsrfXRYRP1G4B4hLbUsXZuDmaeP48Z0zWJydRFS4Y4BPE5Fgp3APEO6qR50WRo0IZ9N3biY1XmvRReQzCvdhzlrLB4dP9ls9eqa1U8EuIhdRuA9T59o7Wbu3gt9+dIwjtc2Eme4z9b60LZ2IuKNwH2bKT5/j97uO89qfT9DU2smstFH88v6rsdbyo/UFqh4VEY8o3IcBay1//vQUv9l5jM2F1RhjWD4zhUdvzGTexDHnb6sb7ghT9aiIeETh7ketHV28sb+S3+w8RmFVE/HRETx28xS+vGCi25t1qXpURDylcPeDmqZW/vPj4/zXJyeoP9vOtOSR/OPds7l7bhrRkVrGKCKDp3D3gf62qssra+A3Oz/lrQNVdFnL4qwkHr1xEjdMSdCORiLiVcZaN0swhkBOTo7Nzc31y3f7Ut9iI4AIh2H86GiO159jZFQ49+ek88iCTDITY/3YUxEJRMaYPdbanIHa6czdy9wVG3V0WcpPt/C/75zBffPSiRuh+7yIiG95tBmmMWa5MabEGHPEGPP9S7S7zxhjjTED/q0SrPorNupyWh69cZKCXUSGxIDhboxxAC8CtwMzgIeMMTPctIsDvg184u1OBoLWji5e+aCU/u6mq63qRGQoeTItcx1wxFpbCmCMeQ1YCRT2afcPwM+Bv/NqD4e5ji4nf9pTzj9vO0xVYyvTk+M4dvIsbV3O821UbCQiQ82TcE8DynodlwPX925gjJkLTLDWvmmMCYlwdzotbxyo5FdbDnGs/hxzM0bzyweu5oYpif2ulhERGSqehLu7iYbzS2yMMWHAr4CvDPhBxjwGPAaQkZHhWQ+HGWst24pq+cXmEoqrz5CVEscrf5nD4uyk88sZVWwkIv7mSbiXAxN6HacDlb2O44BZwLuucEsBNhhj7rLWXrDW0Vr7MvAydC+FHES//WLX0Xqe21TM3hMNZCbE8MKD13DnnPHatk5Ehh1Pwn03MNUYMwmoAB4EvtTzorW2EUjsOTbGvAv8Xd9gD2T7yxr4xeYSPjh8kpRRI3j2ntncNy+dCIdHi41ERIbcgOFure00xjwObAIcwKvW2gJjzDNArrV2g687OVT6zpU/PD+DvLIGNhXUMDY2kqdWZPPw/ImMiNAtAkRkeFOFqou7ylKAqPAw/ubWq/ja5ycxMko1XyLiX6pQvUzuKksBxsRE8rdLpvqhRyIiV06Txi79VZbWNLUOcU9ERAYv5M/crbX89qNj/b6ubexEJBCFdLjXN7fx5J8OsL24lpnjR3G0tpnWTlWWikjgC9lwf/9QHd99fT+NLR38n7tm8pcLJrI+r1KVpSISFEIu3Ns7nfxicwkvv1/K1KSR/P6r15GdOgpQZamIBI+QCvfSumb+9rU88isaeXh+Bk+tmKE16yISlEIi3K21vL6nnKc3FBAZHsa/f3key2am+LtbIiI+E7Th3lNtWtHQQnSEg5aOLuZPHsuvvngNqfFaASMiwS0ow71vtWlLRxfhYYYH5k1QsItISAjKIiZ31aadTssvtxzyU49ERIZWUIZ7f9Wmlf08LyISbIIu3J1OS1S4+2Gp2lREQkXQhfu/vnuEtk4nEY4LN9BQtamIhJKgCvc/f3qK57cc4q6rx/Pze+eQNjoaA6SNjubZe2arQElEQkbQrJY5dbadb/9hHxljY/jJ3bOIGxHB3Z9L93e3RET8IijC3em0fHdNHqfOtrP2b24gbkSEv7skIuJXARvuvbfEixsRTlNrJ8+snMmstHh/d01ExO8CMtz7Fik1tXYSZiBO2+CJiAABekHVXZGS08IvNqtISUQEAjTc+ytGUpGSiEi3gAz3/oqRVKQkItItIMP9yWXTie5zH3YVKYmIfCYgr0D2FCM9vaGAhpYOkkdFsfr2bBUpiYi4BGS4Q3fAn2nr5EfrDvLGt24iKW6Ev7skIjJsBOS0TI/OLicAEWEBPQwREa8L6FTs7LIARPRzF0gRkVAVsKm4bl8F/7L9MABLn3+Pdfsq/NwjEZHhIyDn3PtWqFY2trJ6bT6ALqqKiBCgZ+7uKlRbOrp4blOJn3okIjK8BGS4q0JVROTSPAp3Y8xyY0yJMeaIMeb7bl7/hjEm3xiTZ4z50Bgzw/td/YwqVEVELm3AcDfGOIAXgduBGcBDbsL7v6y1s6211wA/B573ek97cVehCvDYzZN9+bUiIgHDkzP364Aj1tpSa2078BqwsncDa21Tr8NYwHqvixdbNTeNZ++ZfX4bvaS4KCIchu3FtVjr068WEQkInqyWSQPKeh2XA9f3bWSM+SbwBBAJLPJK7y5h1dy0C1bG/N9dx/jR+gJ+v+s4j9yQ6euvFxEZ1jw5czdunrvo9Nha+6K1dgrwPeAptx9kzGPGmFxjTG5dXd3l9XQAD8+fyK3Tx/GPG4s4XHPGq58tIhJozEDTGMaYBcDT1tplruPVANbaZ/tpHwacttZecr+7nJwcm5ube0Wd7k/tmVaW/9MHREc4sNZS1djK+NHRPLlsuta/i0hQMMbssdbmDNTOkzP33cBUY8wkY0wk8CCwoc+XTe11uAI4fDmd9ZakuBHcMzeNioYWKhtbsUBFQwur1+arglVEQsqA4W6t7QQeBzYBRcAaa22BMeYZY8xdrmaPG2MKjDF5dM+7P+KzHg/g7YPVFz2nAicRCTUe3X7AWrsR2NjnuR/3evy3Xu7XFVOBk4hIgFaoXkp/hUwp8brfu4iEjqAL9/4KnDqdloLKRj/0SERk6AVduPctcEobHc03F07BAHf/60f8ftcxFTqJSNAbcCmkr/hiKeSl1De38d3X9/NuSR3LZ6bws3vnEB8TMWTfLyLiDd5cChkUEkZG8eoj1/KDO7LYWlTDHf/8AXtPnPZ3t0REfCJkwh0gLMzw2M1TeP0bCzAGHnhpFy+9dxSnU9M0IhJcAnInpsGamzGGt779eVavPcBP3y7mo6P13JadxEvvlVLZ0KKqVhEJeCEZ7gDx0RG8+KXP8f8+OcHTGwp4/9Bn97rpqWoFbdsnIoEppKZl+jLG8PD8iYyNjbzoNVW1ikggC+lw71F3ps3t8xWqahWRAKVwp/+q1jAD//nxcTq6nEPcIxGRwVG4476qNdIRxsSEWJ5ad5Alz7/Hhv2VWlUjIgFD4Y77qtaf3zeH7d+9hVe/kkN0hINv/2EfX/iXD3m3RFv5icjwFzIVqoPhdFo27K/kl1tKKDvVwvWTxvL3y7OYN3GMv7smIiFGFapeFBZmWDU3jW1P3MozK2dytO4s9/7bR/zV73M5pC39RGQY0pn7FTjb1slvdn7Kv79XSnN7J/fMTec7t00lfUyMv7smIkHO0zN3hfsgnD7bzr+9d5TffnQMLPzF/AwmJ8aq0lVEfEbhPoSqGlt4Yeth/phbRt9/ndERDp69Z7YCXkS8QnPuQyg1Ppqf3juHcSOjLnpNla4i4g8Kdy+6VKXr7mOntIRSRIaMwt2L+qt0NQbuf2kXd/76Q9buLaets2uIeyYioUbh7kXuKl2jIxz87J45/OTuWbR2OHlizX5u+tkOXth6mJPN7s/0RUQGSxdUvWzdvgqe21TidrWMtZYPDp/k1Z2f8m5JHZHhYay8ejyP3jiJGeNH+bnnIhIItFpmmDtS28zvPjrGn/aU09LRxYLJCTx6YyaLs5NxhBl/d09EhimFe4BoPNfBa7tP8LuPjlHZ2ErG2Bi+ckMm9+ekEzdCG3iLyIUU7gGms8vJ5sIaXv3wU3KPn2ZkVDgP5EzgKzdkkpEQc8npHhEJHQr3ALa/rIHf7PyUNw9U0WUtM8eP4lB1M+297iuv4iiR0KQipgB29YTR/NODc9n5/UU8vvAqCiubLgh2UHGUiFyawn0YSx41gu8unU5/e4RUNLSoMEpE3FK4B4C0foqjABY//x4vvXeU2jOtQ9gjERnuFO4BwF1x1IjwMB66dgIJsZH89O1iFjy7na//LpcthTV0as9XkZAX7kkjY8xy4AXAAbxirf1pn9efAL4OdAJ1wFettce93NeQ1XPRtL/VMkfrmlmTW8Z/76lga1EN4+KiuOdzaTyQM4Ep40b6s+si4icDrpYxxjiAQ8BtQDmwG3jIWlvYq81C4BNr7TljzP8CbrXWfvFSn6vVMt7X0eXk3ZI6/ri7jB0ltXQ5LddmjuGBnAncMTuV2CiP/i4XkWHMa0shjTELgKettctcx6sBrLXP9tN+LvBra+2Nl/pchbtv1Ta1snZfBWt2l1F68iyxkQ7uvHo8D1w7gbkTRmOMqmBFApGn4e7JqVwaUNbruBy4/hLtvwa83U+nHgMeA8jIyPDgq+VKJY0awTdumcJf3zyZ3OOnWbO7jPV5lby2u4ypSSN5IGcCd38ujUQ396AXkcDnyZn7/cAya+3XXcdfBq6z1n7LTduHgceBW6y1l7zloc7ch15zWydv7q9kTW4Ze080EB5mWJydxBevncDNU8fx5oEqVcGKDHPePHMvByb0Ok4HKt184RLgh3gQ7OIfI6PCefC6DB68LoPDNWdYk1vG2r0VbCqoIT46grNtnXS6FtVXNLSwem0+gAJeJAB5shRyNzDVGDPJGBMJPAhs6N3ANc/+78Bd1tpa73dTvG1qchw/XDGDXasX89LD82jt6Dof7D1UBSsSuAYMd2ttJ91TLZuAImCNtbbAGPOMMeYuV7PngJHA68aYPGPMhn4+ToaZyPAwls9Kob3T/dr4ioYW3thfSUu7do8SCSQerY2z1m4ENvZ57se9Hi/xcr9kiI0fHU1FQ8tFz4cZ+NYf9hEb6WDZzBRWzk3jxikJhDtU/yYynGnhswDdVbCr1+bT0vHZGXp0hIOfrJpFyugRrN9XycaDVazdV0HiyCi+MCeVVXPTuDo9XssqRYYh3fJXzhvonvFtnV3sKK5jfV4F24prae90kpkQw8pr0lh5zXgmqxpWxOd0P3fxqcaWDjYdrGZdXgW7SuuxFuakx7PymjTuvDqVpLgR/u6iSFBSuMuQqW5s5Y39lazLq6CgsokwAzdelcjKa9JYNjNZ2wWKeJHCXfziSO0Z1udVsj6vkhOnzhEVHsaS7GRWXjOeW6cnERnefSFW2waKXBmFu/iVtZa9JxpYn1fBmweqOHW2nfjoCO6YnUpibCT/8UEprZ3aNlDkcincZdjo6HLy4ZGTrN/XXQ3be0VOb2mjo9n5/UVD3DuRwOLN2w+IDEqEI4yF05NYOD2Jc+2dzPjxJrfterYN1NJKkcFTJYoMqZjI8AG3DXx+cwkl1We0P6zIICjcZcj1t23g/fPSSRk1gl/vOMKyf3qf2371Ps9vOcShmjN+6qlI4NK0jAy5gbYNrDvTxjsF1bx1oJJ/2X6Yf952mKlJI1kxJ5UVs1OZmhznz+6LBARdUJVhrfZMK5sOVvPmgSr+fOwU1sK05JGsmD2eFXNSuSpJVbESWrRaRoJObVMrbx+s5q38Kna7gj4rJY47ZqeyYk6qNgOXkKBwl6BW09TK2/lVvJVfRe7x0+eD/gtzUrljdqrucyNBS+EuIaO6sZW3D1bx1oHuoAfITh11PugnJcYCqoqV4KBwl5BU1djCxvzui7F7TzQAMHP8KDITYtlaVEObqmIlwCncJeRVNrSw0TV1s88V9H2pKlYCjafhrnXuErTGj47m65+fzP/8zY39tql0s/uUSDBQuEtI6K8qdvwlqmVFApnCXUKCu6rY6AgHTy6b7qceifiWKlQlJAxUFSsSbBTuEjJWzU1TmEvI0LSMiEgQUriLiAQhhbuISBBSuIuIBCGFu4hIEFK4i4gEIYW7iEgQUriLiAQhv90V0hhTBxz3y5dDInDST9/tTxp36AnVsQfzuCdaa8cN1Mhv4e5PxphcT26ZGWw07tATqmMP1XH3pmkZEZEgpHAXEQlCoRruL/u7A36icYeeUB17qI77vJCccxcRCXaheuYuIhLUgi7cjTHLjTElxpgjxpjvu3n9ZmPMXmNMpzHmvj6vdRlj8lw/G4au14PnwbifMMYUGmMOGGO2GWMm9nrtEWPMYdfPI0Pb88EZ5LiD+ff9DWNMvmtsHxpjZvR6bbXrfSXGmGVD2/PBudJxG2MyjTEtvX5MGyjrAAACzUlEQVTfLw1974eYtTZofgAHcBSYDEQC+4EZfdpkAnOA3wP39Xmt2d9j8OG4FwIxrsf/C/ij6/FYoNT1zzGux2P8PSZfjzsEft+jej2+C3jH9XiGq30UMMn1OQ5/j2kIxp0JHPT3GIbyJ9jO3K8DjlhrS6217cBrwMreDay1x6y1BwCnPzroI56Me4e19pzr8GMg3fV4GbDFWnvKWnsa2AIsH6J+D9Zgxh3IPBl3U6/DWKDn4tpK4DVrbZu19lPgiOvzAsFgxh1ygi3c04CyXsflruc8NcIYk2uM+dgYs8q7XfOpyx3314C3r/C9w8lgxg1B/vs2xnzTGHMU+Dnw7ct57zA1mHEDTDLG7DPGvGeM+bxvu+p/wbaHqnHz3OX8zZ1hra00xkwGthtj8q21R73UN1/yeNzGmIeBHOCWy33vMDSYcUOQ/76ttS8CLxpjvgQ8BTzi6XuHqcGMu4ru33e9MWYesM4YM7PPmX5QCbYz93JgQq/jdKDS0zdbaytd/ywF3gXmerNzPuTRuI0xS4AfAndZa9su573D1GDGHfS/715eA3r+zyTof9+9nB+3axqq3vV4D91z99N81M/hwd+T/t78ofv/RErpvlDUc8FlZj9tf0uvC6p0X0yMcj1OBA7T52LNcP3xZNx0B9dRYGqf58cCn7rGP8b1eKy/xzQE4w723/fUXo/vBHJdj2dy4QXVUgLngupgxj2uZ5x0X5CtCJQ/51f878vfHfDBH4A7gEOu/6B/6HruGbrP2gCupfsM4CxQDxS4nr8ByHf9gckHvubvsXh53FuBGiDP9bOh13u/SveFtSPAo/4ey1CMOwR+3y8ABa4x7+gdgnT/X8xRoAS43d9jGYpxA/e6nt8P7AXu9PdYfP2jClURkSAUbHPuIiKCwl1EJCgp3EVEgpDCXUQkCCncRUSCkMJdRCQIKdxFRIKQwl1EJAj9fxPtxdmY7b41AAAAAElFTkSuQmCC\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"portfolio_means = []\n",
"portfolio_stds = []\n",
"\n",
"ws_gm = np.linspace(0, 1, 21)\n",
"\n",
"for w_gm in ws_gm:\n",
" w_msft = 1. - w_gm\n",
" \n",
" portfolio_vals = df[['ror_gm', 'ror_msft']].dot([w_gm, w_msft])\n",
" \n",
" portfolio_means.append(portfolio_vals.mean())\n",
" portfolio_stds.append(portfolio_vals.std(ddof=0))\n",
"\n",
"plt.plot(portfolio_stds, portfolio_means)\n",
"plt.scatter(portfolio_stds, portfolio_means)\n",
"plt.show()"
]
},
{
"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>gm_weight</th>\n",
" <th>mstf_weight</th>\n",
" <th>portfolio_std</th>\n",
" <th>portfolio_mean</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>0</th>\n",
" <td>0.00</td>\n",
" <td>1.00</td>\n",
" <td>0.379848</td>\n",
" <td>0.627200</td>\n",
" </tr>\n",
" <tr>\n",
" <th>1</th>\n",
" <td>0.05</td>\n",
" <td>0.95</td>\n",
" <td>0.353737</td>\n",
" <td>0.602967</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2</th>\n",
" <td>0.10</td>\n",
" <td>0.90</td>\n",
" <td>0.327976</td>\n",
" <td>0.578735</td>\n",
" </tr>\n",
" <tr>\n",
" <th>3</th>\n",
" <td>0.15</td>\n",
" <td>0.85</td>\n",
" <td>0.302654</td>\n",
" <td>0.554502</td>\n",
" </tr>\n",
" <tr>\n",
" <th>4</th>\n",
" <td>0.20</td>\n",
" <td>0.80</td>\n",
" <td>0.277889</td>\n",
" <td>0.530270</td>\n",
" </tr>\n",
" <tr>\n",
" <th>5</th>\n",
" <td>0.25</td>\n",
" <td>0.75</td>\n",
" <td>0.253847</td>\n",
" <td>0.506037</td>\n",
" </tr>\n",
" <tr>\n",
" <th>6</th>\n",
" <td>0.30</td>\n",
" <td>0.70</td>\n",
" <td>0.230752</td>\n",
" <td>0.481805</td>\n",
" </tr>\n",
" <tr>\n",
" <th>7</th>\n",
" <td>0.35</td>\n",
" <td>0.65</td>\n",
" <td>0.208920</td>\n",
" <td>0.457572</td>\n",
" </tr>\n",
" <tr>\n",
" <th>8</th>\n",
" <td>0.40</td>\n",
" <td>0.60</td>\n",
" <td>0.188788</td>\n",
" <td>0.433340</td>\n",
" </tr>\n",
" <tr>\n",
" <th>9</th>\n",
" <td>0.45</td>\n",
" <td>0.55</td>\n",
" <td>0.170958</td>\n",
" <td>0.409108</td>\n",
" </tr>\n",
" <tr>\n",
" <th>10</th>\n",
" <td>0.50</td>\n",
" <td>0.50</td>\n",
" <td>0.156221</td>\n",
" <td>0.384875</td>\n",
" </tr>\n",
" <tr>\n",
" <th>11</th>\n",
" <td>0.55</td>\n",
" <td>0.45</td>\n",
" <td>0.145519</td>\n",
" <td>0.360642</td>\n",
" </tr>\n",
" <tr>\n",
" <th>12</th>\n",
" <td>0.60</td>\n",
" <td>0.40</td>\n",
" <td>0.139783</td>\n",
" <td>0.336410</td>\n",
" </tr>\n",
" <tr>\n",
" <th>13</th>\n",
" <td>0.65</td>\n",
" <td>0.35</td>\n",
" <td>0.139625</td>\n",
" <td>0.312177</td>\n",
" </tr>\n",
" <tr>\n",
" <th>14</th>\n",
" <td>0.70</td>\n",
" <td>0.30</td>\n",
" <td>0.145064</td>\n",
" <td>0.287945</td>\n",
" </tr>\n",
" <tr>\n",
" <th>15</th>\n",
" <td>0.75</td>\n",
" <td>0.25</td>\n",
" <td>0.155513</td>\n",
" <td>0.263713</td>\n",
" </tr>\n",
" <tr>\n",
" <th>16</th>\n",
" <td>0.80</td>\n",
" <td>0.20</td>\n",
" <td>0.170052</td>\n",
" <td>0.239480</td>\n",
" </tr>\n",
" <tr>\n",
" <th>17</th>\n",
" <td>0.85</td>\n",
" <td>0.15</td>\n",
" <td>0.187733</td>\n",
" <td>0.215247</td>\n",
" </tr>\n",
" <tr>\n",
" <th>18</th>\n",
" <td>0.90</td>\n",
" <td>0.10</td>\n",
" <td>0.207755</td>\n",
" <td>0.191015</td>\n",
" </tr>\n",
" <tr>\n",
" <th>19</th>\n",
" <td>0.95</td>\n",
" <td>0.05</td>\n",
" <td>0.229506</td>\n",
" <td>0.166783</td>\n",
" </tr>\n",
" <tr>\n",
" <th>20</th>\n",
" <td>1.00</td>\n",
" <td>0.00</td>\n",
" <td>0.252540</td>\n",
" <td>0.142550</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" gm_weight mstf_weight portfolio_std portfolio_mean\n",
"0 0.00 1.00 0.379848 0.627200\n",
"1 0.05 0.95 0.353737 0.602967\n",
"2 0.10 0.90 0.327976 0.578735\n",
"3 0.15 0.85 0.302654 0.554502\n",
"4 0.20 0.80 0.277889 0.530270\n",
"5 0.25 0.75 0.253847 0.506037\n",
"6 0.30 0.70 0.230752 0.481805\n",
"7 0.35 0.65 0.208920 0.457572\n",
"8 0.40 0.60 0.188788 0.433340\n",
"9 0.45 0.55 0.170958 0.409108\n",
"10 0.50 0.50 0.156221 0.384875\n",
"11 0.55 0.45 0.145519 0.360642\n",
"12 0.60 0.40 0.139783 0.336410\n",
"13 0.65 0.35 0.139625 0.312177\n",
"14 0.70 0.30 0.145064 0.287945\n",
"15 0.75 0.25 0.155513 0.263713\n",
"16 0.80 0.20 0.170052 0.239480\n",
"17 0.85 0.15 0.187733 0.215247\n",
"18 0.90 0.10 0.207755 0.191015\n",
"19 0.95 0.05 0.229506 0.166783\n",
"20 1.00 0.00 0.252540 0.142550"
]
},
"execution_count": 18,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"pd.DataFrame({\n",
" 'gm_weight': ws_gm,\n",
" 'mstf_weight': 1. - ws_gm,\n",
" 'portfolio_std': portfolio_stds,\n",
" 'portfolio_mean': portfolio_means,\n",
"})"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Теперь искусственно зададим корреляцию между активами, и посмотрим что происходит с кривой доходности"
]
},
{
"cell_type": "code",
"execution_count": 19,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"/Users/ycomb/anaconda/envs/py36/lib/python3.6/site-packages/ipykernel_launcher.py:12: MatplotlibDeprecationWarning: The set_color_cycle function was deprecated in version 1.5. Use `.set_prop_cycle` instead.\n",
" if sys.path[0] == '':\n"
]
},
{
"data": {
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\n",
"text/plain": [
"<Figure size 1440x720 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"ror_msft_mean = df.ror_msft.mean()\n",
"ror_gm_mean = df.ror_gm.mean()\n",
"\n",
"ror_msft_std = df.ror_msft.std(ddof=0)\n",
"ror_gm_std = df.ror_gm.std(ddof=0)\n",
"\n",
"NUM_COLORS = 20\n",
"\n",
"cm = plt.get_cmap('gist_rainbow')\n",
"fig = plt.figure(figsize=(20,10))\n",
"ax = fig.add_subplot(111)\n",
"ax.set_color_cycle([cm(1.*i/NUM_COLORS) for i in range(NUM_COLORS)])\n",
"\n",
"for ror_corr in np.linspace(-1., 1., NUM_COLORS + 1):\n",
" portfolio_means = []\n",
" portfolio_stds = []\n",
" \n",
" ror_cov = ror_corr * ror_msft_std * ror_gm_std\n",
" \n",
" for w_gm in np.linspace(0, 1, 21):\n",
" w_msft = 1. - w_gm\n",
"\n",
" portfolio_mean = np.array([ror_gm_mean, ror_msft_mean]).dot([w_gm, w_msft])\n",
" portfolio_var = (w_gm * ror_gm_std)**2 + (w_msft * ror_msft_std)**2 + 2 * w_gm * w_msft * ror_cov\n",
" portfolio_std = np.sqrt(portfolio_var)\n",
"\n",
" portfolio_means.append(portfolio_mean)\n",
" portfolio_stds.append(portfolio_std)\n",
"\n",
" ax.plot(portfolio_stds, portfolio_means, label='corr={0:.1f}'.format(ror_corr))\n",
" ax.scatter(portfolio_stds, portfolio_means)\n",
"\n",
" \n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.6.5"
},
"varInspector": {
"cols": {
"lenName": 16,
"lenType": 16,
"lenVar": 40
},
"kernels_config": {
"python": {
"delete_cmd_postfix": "",
"delete_cmd_prefix": "del ",
"library": "var_list.py",
"varRefreshCmd": "print(var_dic_list())"
},
"r": {
"delete_cmd_postfix": ") ",
"delete_cmd_prefix": "rm(",
"library": "var_list.r",
"varRefreshCmd": "cat(var_dic_list()) "
}
},
"types_to_exclude": [
"module",
"function",
"builtin_function_or_method",
"instance",
"_Feature"
],
"window_display": false
}
},
"nbformat": 4,
"nbformat_minor": 2
}
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