这看起来像是一篇很老的帖子,但我会用我为你准备的内容加入。
import pandas as pd
import numpy as np
import matplotlib.pyplot as plt
import seaborn as sns
import scipy.optimize as sco
import datetime as dt
import math
from datetime import datetime, timedelta
from pandas_datareader import data as wb
from sklearn.cluster import KMeans
np.random.seed(777)
start = '2018-06-30'
end = '2020-06-30'
# N = 90
# start = datetime.now() - timedelta(days=N)
# end = dt.datetime.today()
tickers = ['AXP','AAPL','BA','CAT','CSCO','CVX','XOM','GS','HD','IBM','INTC','JNJ','KO','JPM','MCD','MMM','MRK','MSFT','NKE','PFE','PG','TRV','UNH','RTX','VZ','V','WBA','WMT','DIS','DOW']
thelen = len(tickers)
price_data = []
for ticker in tickers:
prices = wb.DataReader(ticker, start = start, end = end, data_source='yahoo')[['Adj Close']]
price_data.append(prices.assign(ticker=ticker)[['ticker', 'Adj Close']])
df = pd.concat(price_data)
df.dtypes
df.head()
df.shape
pd.set_option('display.max_columns', 500)
df = df.reset_index()
df = df.set_index('Date')
table = df.pivot(columns='ticker')
# By specifying col[1] in below list comprehension
# You can select the stock names under multi-level column
table.columns = [col[1] for col in table.columns]
table.head()
def portfolio_annualised_performance(weights, mean_returns, cov_matrix):
returns = np.sum(mean_returns*weights ) *252
std = np.sqrt(np.dot(weights.T, np.dot(cov_matrix, weights))) * np.sqrt(252)
return std, returns
def random_portfolios(num_portfolios, mean_returns, cov_matrix, risk_free_rate):
results = np.zeros((3,num_portfolios))
weights_record = []
for i in range(num_portfolios):
weights = np.random.random(thelen)
weights /= np.sum(weights)
weights_record.append(weights)
portfolio_std_dev, portfolio_return = portfolio_annualised_performance(weights, mean_returns, cov_matrix)
results[0,i] = portfolio_std_dev
results[1,i] = portfolio_return
results[2,i] = (portfolio_return - risk_free_rate) / portfolio_std_dev
return results, weights_record
returns = table.pct_change()
mean_returns = returns.mean()
cov_matrix = returns.cov()
num_portfolios = 10000
risk_free_rate = 0.0178
def display_simulated_ef_with_random(mean_returns, cov_matrix, num_portfolios, risk_free_rate):
results, weights = random_portfolios(num_portfolios,mean_returns, cov_matrix, risk_free_rate)
max_sharpe_idx = np.argmax(results[2])
sdp, rp = results[0,max_sharpe_idx], results[1,max_sharpe_idx]
max_sharpe_allocation = pd.DataFrame(weights[max_sharpe_idx],index=table.columns,columns=['allocation'])
max_sharpe_allocation.allocation = [round(i*100,2)for i in max_sharpe_allocation.allocation]
max_sharpe_allocation = max_sharpe_allocation.T
min_vol_idx = np.argmin(results[0])
sdp_min, rp_min = results[0,min_vol_idx], results[1,min_vol_idx]
min_vol_allocation = pd.DataFrame(weights[min_vol_idx],index=table.columns,columns=['allocation'])
min_vol_allocation.allocation = [round(i*100,2)for i in min_vol_allocation.allocation]
min_vol_allocation = min_vol_allocation.T
print("-")
print("Maximum Sharpe Ratio Portfolio Allocation\n")
print("Annualised Return:", round(rp,2))
print("Annualised Volatility:", round(sdp,2))
print("\n")
print(max_sharpe_allocation)
print("-")
print("Minimum Volatility Portfolio Allocation\n")
print("Annualised Return:", round(rp_min,2))
print("Annualised Volatility:", round(sdp_min,2))
print("\n")
print(min_vol_allocation)
plt.figure(figsize=(10, 7))
plt.scatter(results[0,:],results[1,:],c=results[2,:],cmap='YlGnBu', marker='o', s=10, alpha=0.3)
plt.colorbar()
plt.scatter(sdp,rp,marker='*',color='r',s=500, label='Maximum Sharpe ratio')
plt.scatter(sdp_min,rp_min,marker='*',color='g',s=500, label='Minimum volatility')
plt.title('Simulated Portfolio Optimization based on Efficient Frontier')
plt.xlabel('annualised volatility')
plt.ylabel('annualised returns')
plt.legend(labelspacing=0.8)
display_simulated_ef_with_random(mean_returns, cov_matrix, num_portfolios, risk_free_rate)
结果:
Maximum Sharpe Ratio Portfolio Allocation
Annualised Return: 0.16
Annualised Volatility: 0.25
AAPL AXP BA CAT CSCO CVX DIS DOW GS HD IBM \
allocation 4.76 1.63 1.03 0.26 1.22 0.05 6.86 0.43 1.02 6.42 0.88
INTC JNJ JPM KO MCD MMM MRK MSFT NKE PFE PG \
allocation 2.56 0.64 4.92 0.27 6.64 4.13 6.99 5.49 4.52 2.35 6.36
RTX TRV UNH V VZ WBA WMT XOM
allocation 5.3 1.79 0.39 6.8 7.06 0.67 5.98 2.6
-
Minimum Volatility Portfolio Allocation
Annualised Return: 0.13
Annualised Volatility: 0.24
AAPL AXP BA CAT CSCO CVX DIS DOW GS HD IBM \
allocation 4.43 0.59 0.59 1.01 1.69 0.56 1.04 0.81 0.64 1.44 1.72
INTC JNJ JPM KO MCD MMM MRK MSFT NKE PFE PG \
allocation 3.43 3.47 2.9 5.43 7.61 4.99 7.78 4.72 2.2 7.13 6.72
RTX TRV UNH V VZ WBA WMT XOM
allocation 0.47 4.56 2.95 0.47 6.84 7.81 4.76 1.23
最后:
您还可以尝试其他事情。查看下面的链接了解所有详细信息。
https://github.com/ASH-WICUS/Notebooks/blob/master/Portfolio%20Optimization.ipynb