由于量化打板公式的种类众多,无法给出统一的源码,但可以提供一些参考:
1. 均值回归: ```
# 均值回归
# 计算股票收益率的均值 mean = np.mean(stock_return) # 计算股票收益率的方差 variance = np.var(stock_return) # 计算股票收益率的协方差
covariance = np.cov(stock_return) # 计算权重
weight = np.dot(np.linalg.inv(covariance),mean) # 计算期望收益率
expected_return = np.dot(weight,mean) # 计算期望波动率 expected_volatility =
np.sqrt(np.dot(weight,np.dot(covariance,weight))) ```
2. 马尔科夫链: ```
# 马尔可夫链 # 定义转移矩阵
transition_matrix = np.array([[0.5, 0.2, 0.3], [0.3, 0.5, 0.2], [0.2, 0.3, 0.5]]) # 定义初始状态概率
initial_state = np.array([0.2, 0.4, 0.4]) # 计算期望收益率
expected_return = np.dot(initial_state, np.dot(transition_matrix, initial_state))
# 计算期望波动率
expected_volatility = np.sqrt(np.dot(initial_state,
np.dot(transition_matrix, np.dot(transition_matrix, initial_state)))) ```
3. 蒙特卡洛模拟: ```
# 蒙特卡洛模拟
# 定义股票收益率的期望值和方差 mean = np.array([0.05, 0.06, 0.07])
variance = np.array([[0.01, 0.005, 0.004], [0.005, 0.02, 0.006], [0.004, 0.006, 0.03]]) # 运行模拟
simulated_returns = np.random.multivariate_normal(mean, variance, size=1000) # 计算期望收益率
expected_return = np.mean(simulated_returns) # 计算期望波动率
expected_volatility = np.std(simulated_returns) ```
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