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@ycytai
Created September 10, 2021 07:27
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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import pandas as pd\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"import scipy.optimize as solver\n",
"from functools import reduce"
]
},
{
"cell_type": "code",
"execution_count": 4,
"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>2317</th>\n",
" <th>2542</th>\n",
" <th>2881</th>\n",
" <th>2324</th>\n",
" <th>2535</th>\n",
" <th>5880</th>\n",
" <th>1101</th>\n",
" <th>2330</th>\n",
" <th>2301</th>\n",
" <th>4938</th>\n",
" </tr>\n",
" </thead>\n",
" <tbody>\n",
" <tr>\n",
" <th>2019-01-03</th>\n",
" <td>-0.017118</td>\n",
" <td>0.012360</td>\n",
" <td>-0.006508</td>\n",
" <td>-0.002865</td>\n",
" <td>-0.005115</td>\n",
" <td>0.005682</td>\n",
" <td>-0.009859</td>\n",
" <td>-0.018223</td>\n",
" <td>0.020910</td>\n",
" <td>-0.011952</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-01-04</th>\n",
" <td>-0.018868</td>\n",
" <td>0.004440</td>\n",
" <td>-0.010917</td>\n",
" <td>-0.017241</td>\n",
" <td>-0.007712</td>\n",
" <td>-0.002825</td>\n",
" <td>0.008535</td>\n",
" <td>-0.034803</td>\n",
" <td>-0.020482</td>\n",
" <td>-0.022177</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-01-07</th>\n",
" <td>0.025148</td>\n",
" <td>0.007735</td>\n",
" <td>0.014349</td>\n",
" <td>0.020468</td>\n",
" <td>0.010363</td>\n",
" <td>0.002833</td>\n",
" <td>0.015515</td>\n",
" <td>0.024038</td>\n",
" <td>0.019680</td>\n",
" <td>0.000000</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-01-08</th>\n",
" <td>-0.010101</td>\n",
" <td>-0.009868</td>\n",
" <td>-0.005441</td>\n",
" <td>-0.005731</td>\n",
" <td>0.005128</td>\n",
" <td>0.005650</td>\n",
" <td>-0.012500</td>\n",
" <td>-0.009390</td>\n",
" <td>0.003619</td>\n",
" <td>-0.022680</td>\n",
" </tr>\n",
" <tr>\n",
" <th>2019-01-09</th>\n",
" <td>0.018950</td>\n",
" <td>0.021041</td>\n",
" <td>0.029540</td>\n",
" <td>0.014409</td>\n",
" <td>0.020408</td>\n",
" <td>0.011236</td>\n",
" <td>0.022504</td>\n",
" <td>0.021327</td>\n",
" <td>0.040865</td>\n",
" <td>0.012658</td>\n",
" </tr>\n",
" </tbody>\n",
"</table>\n",
"</div>"
],
"text/plain": [
" 2317 2542 2881 2324 2535 5880 \\\n",
"2019-01-03 -0.017118 0.012360 -0.006508 -0.002865 -0.005115 0.005682 \n",
"2019-01-04 -0.018868 0.004440 -0.010917 -0.017241 -0.007712 -0.002825 \n",
"2019-01-07 0.025148 0.007735 0.014349 0.020468 0.010363 0.002833 \n",
"2019-01-08 -0.010101 -0.009868 -0.005441 -0.005731 0.005128 0.005650 \n",
"2019-01-09 0.018950 0.021041 0.029540 0.014409 0.020408 0.011236 \n",
"\n",
" 1101 2330 2301 4938 \n",
"2019-01-03 -0.009859 -0.018223 0.020910 -0.011952 \n",
"2019-01-04 0.008535 -0.034803 -0.020482 -0.022177 \n",
"2019-01-07 0.015515 0.024038 0.019680 0.000000 \n",
"2019-01-08 -0.012500 -0.009390 0.003619 -0.022680 \n",
"2019-01-09 0.022504 0.021327 0.040865 0.012658 "
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"df = pd.read_csv('efficient_frontier.csv', index_col=0, parse_dates=True)\n",
"\n",
"total_stocks = len(df.columns)\n",
"\n",
"returns = df.pct_change()\n",
"returns = returns[1:]\n",
"returns.head()"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"投資組合預期報酬率為: 0.2034\n",
"投資組合風險為: 0.0986\n"
]
}
],
"source": [
"covariance_matrix = returns.cov() * 252\n",
"stocks_expected_return = returns.mean() * 252\n",
"stocks_weights = np.array([.1,]*total_stocks )\n",
"\n",
"portfolio_return = sum(stocks_weights * stocks_expected_return)\n",
"portfolio_risk = np.sqrt(reduce(np.dot, [stocks_weights, covariance_matrix, stocks_weights.T]))\n",
"\n",
"print('預期報酬率為: '+ str(round(portfolio_return,4)))\n",
"print('風險為: ' + str(round(portfolio_risk,4)))"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 720x432 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"risk_list = []\n",
"return_list = []\n",
"simulations_target = 10**6\n",
"\n",
"for _ in range(simulations_target):\n",
" \n",
" # random weighted\n",
" weight = np.random.rand(total_stock)\n",
" weight = weight / sum(weight)\n",
" \n",
" # calculate result\n",
" ret = sum(stocks_expected_return * weight)\n",
" risk = np.sqrt(reduce(np.dot, [weight, covariance_matrix, weight.T]))\n",
" \n",
" # record\n",
" return_list.append(ret)\n",
" risk_list.append(risk)\n",
" \n",
"fig = plt.figure(figsize = (10,6))\n",
"fig.suptitle('Stochastic Simulations', fontsize=18, fontweight='bold')\n",
"\n",
"ax = fig.add_subplot()\n",
"ax.plot(risk_list, return_list, 'o')\n",
"ax.set_title(f'n={simulations_target}', fontsize=16)\n",
"\n",
"fig.savefig('Stochastic_Simulations.png', dpi=300)"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"def standard_deviation(weights):\n",
" return np.sqrt(reduce(np.dot, [weights, covariance_matrix, weights.T]))"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"風險最小化投資組合預期報酬率為:0.12\n",
"風險最小化投資組合風險為:0.08\n"
]
}
],
"source": [
"x0 = stocks_weights\n",
"bounds = tuple((0, 1) for x in range(total_stocks))\n",
"constraints = [{'type': 'eq', 'fun': lambda x: sum(x) - 1}]\n",
"minimize_variance = solver.minimize(standard_deviation, x0=x0, constraints=constraints, bounds=bounds)\n",
"\n",
"mvp_risk = minimize_variance.fun\n",
"mvp_return = sum(minimize_variance.x * stocks_expected_return)\n",
"\n",
"print('風險最小化投資組合預期報酬率為:' + str(round(mvp_return,2)))\n",
"print('風險最小化投資組合風險為:' + str(round(mvp_risk,2)))"
]
},
{
"cell_type": "code",
"execution_count": 20,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"2317 佔投資組合權重 : 0.0000\n",
"2542 佔投資組合權重 : 0.2113\n",
"2881 佔投資組合權重 : 0.0420\n",
"2324 佔投資組合權重 : 0.1212\n",
"2535 佔投資組合權重 : 0.1827\n",
"5880 佔投資組合權重 : 0.3534\n",
"1101 佔投資組合權重 : 0.0731\n",
"2330 佔投資組合權重 : 0.0000\n",
"2301 佔投資組合權重 : 0.0162\n",
"4938 佔投資組合權重 : 0.0000\n"
]
}
],
"source": [
"for i in range(total_stocks):\n",
" stock_symbol = str(df.columns[i])\n",
" weighted = str(format(minimize_variance.x[i], '.4f'))\n",
" print(f'{stock_symbol} 佔投資組合權重 : {weighted}')"
]
},
{
"cell_type": "code",
"execution_count": 21,
"metadata": {},
"outputs": [],
"source": [
"x0 = stocks_weights\n",
"bounds = tuple((0, 1) for x in range(total_stocks))\n",
"\n",
"efficient_fronter_return_range = np.arange(0.05, 0.35, .005)\n",
"efficient_fronter_risk_list = []\n",
"\n",
"for i in efficient_fronter_return_range:\n",
" constraints = [{'type': 'eq', 'fun': lambda x: sum(x) - 1},\n",
" {'type': 'eq', 'fun': lambda x: sum(x * stocks_expected_return) - i}]\n",
" \n",
" efficient_fronter = solver.minimize(\n",
" standard_deviation, \n",
" x0=x0, \n",
" constraints=constraints, \n",
" bounds=bounds\n",
" )\n",
" \n",
" efficient_fronter_risk_list.append(efficient_fronter.fun)"
]
},
{
"cell_type": "code",
"execution_count": 22,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x432 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"risk_free = 0.01\n",
"\n",
"fig = plt.figure(figsize = (12,6))\n",
"fig.subplots_adjust(top=0.85)\n",
"ax = fig.add_subplot()\n",
"\n",
"fig.subplots_adjust(top=0.85)\n",
"\n",
"ax0 = ax.scatter(risk_list, return_list,\n",
" c=(np.array(return_list)-risk_free)/np.array(risk_list),\n",
" marker = 'o')\n",
"\n",
"ax.plot(efficient_fronter_risk_list, \n",
" efficient_fronter_return_range, \n",
" linewidth=1, color='#251f6b', marker='o',\n",
" markerfacecolor='#251f6b', markersize=5)\n",
"\n",
"ax.plot(mvp_risk, mvp_return,'*',color='r', markerfacecolor='#ed1313', markersize=25)\n",
"\n",
"\n",
"ax.spines['right'].set_visible(False)\n",
"ax.spines['top'].set_visible(False)\n",
"\n",
"ax.set_title('Efficient Frontier', fontsize=22, fontweight='bold')\n",
"ax.set_xlabel('Risk')\n",
"ax.set_ylabel('Return')\n",
"\n",
"fig.colorbar(ax0, ax=ax, label = 'Sharpe Ratio')\n",
"plt.savefig('Efficient_Frontier.png',dpi=300)"
]
}
],
"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": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 4
}
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