基于NumPy的股价统计分析应用

构造数据

  • 构造以下数据。其中,第4-8列,即EXCEL表格中的D-H列,分别为股票的开盘价,最高价,最低价,收盘价,成交量。
with open("./data/stock_data.csv", "w") as fdata:
    fdata.write("""AAPL,28-01-2011, ,344.17,344.4,333.53,336.1,21144800
AAPL,31-01-2011, ,335.8,340.04,334.3,339.32,13473000
AAPL,01-02-2011, ,341.3,345.65,340.98,345.03,15236800
AAPL,02-02-2011, ,344.45,345.25,343.55,344.32,9242600
AAPL,03-02-2011, ,343.8,344.24,338.55,343.44,14064100
AAPL,04-02-2011, ,343.61,346.7,343.51,346.5,11494200
AAPL,07-02-2011, ,347.89,353.25,347.64,351.88,17322100
AAPL,08-02-2011, ,353.68,355.52,352.15,355.2,13608500
AAPL,09-02-2011, ,355.19,359,354.87,358.16,17240800
AAPL,10-02-2011, ,357.39,360,348,354.54,33162400
AAPL,11-02-2011, ,354.75,357.8,353.54,356.85,13127500
AAPL,14-02-2011, ,356.79,359.48,356.71,359.18,11086200
AAPL,15-02-2011, ,359.19,359.97,357.55,359.9,10149000
AAPL,16-02-2011, ,360.8,364.9,360.5,363.13,17184100
AAPL,17-02-2011, ,357.1,360.27,356.52,358.3,18949000
AAPL,18-02-2011, ,358.21,359.5,349.52,350.56,29144500
AAPL,22-02-2011, ,342.05,345.4,337.72,338.61,31162200
AAPL,23-02-2011, ,338.77,344.64,338.61,342.62,23994700
AAPL,24-02-2011, ,344.02,345.15,338.37,342.88,17853500
AAPL,25-02-2011, ,345.29,348.43,344.8,348.16,13572000
AAPL,28-02-2011, ,351.21,355.05,351.12,353.21,14395400
AAPL,01-03-2011, ,355.47,355.72,347.68,349.31,16290300
AAPL,02-03-2011, ,349.96,354.35,348.4,352.12,21521000
AAPL,03-03-2011, ,357.2,359.79,355.92,359.56,17885200
AAPL,04-03-2011, ,360.07,360.29,357.75,360,16188000
AAPL,07-03-2011, ,361.11,361.67,351.31,355.36,19504300
AAPL,08-03-2011, ,354.91,357.4,352.25,355.76,12718000
AAPL,09-03-2011, ,354.69,354.76,350.6,352.47,16192700
AAPL,10-03-2011, ,349.69,349.77,344.9,346.67,18138800
AAPL,11-03-2011, ,345.4,352.32,345,351.99,16824200
""")

读取数据

  • 使用 np.loadtxt 方法读取CSV文件
import numpy as np

end_price, turnover = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=(6, 7),
    unpack=True
)
print(end_price)
print(turnover)
[336.1  339.32 345.03 344.32 343.44 346.5  351.88 355.2  358.16 354.54
 356.85 359.18 359.9  363.13 358.3  350.56 338.61 342.62 342.88 348.16
 353.21 349.31 352.12 359.56 360.   355.36 355.76 352.47 346.67 351.99]
[21144800. 13473000. 15236800.  9242600. 14064100. 11494200. 17322100.
 13608500. 17240800. 33162400. 13127500. 11086200. 10149000. 17184100.
 18949000. 29144500. 31162200. 23994700. 17853500. 13572000. 14395400.
 16290300. 21521000. 17885200. 16188000. 19504300. 12718000. 16192700.
 18138800. 16824200.]

numpy.loadtxt需要传入4个关键字参数:
1.fname是文件名,数据类型为字符串str;
2.delimiter是分隔符,数据类型为字符串str;
3.usecols是读取的列数,数据类型为元组tuple,其中元素个数有多少个,则选出多少列;
4.unpack是是否解包,数据类型为布尔bool。

应用

计算成交量加权平均价格

  • 概念:成交量加权平均价格,英文名VWAP(Volume-Weighted Average Price,成交量加权平均价格)是一个非常重要的经济学量,代表着金融资产的“平均”价格。
  • 某个价格的成交量越大,该价格所占的权重就越大。VWAP就是以成交量为权重计算出来的加权平均值。
import numpy as np

end_price, turnover = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=(6, 7),
    unpack=True
)

print(np.average(end_price))
print(np.average(end_price, weights=turnover))
351.0376666666667
350.5895493532009

计算最大值和最小值

import numpy as np

high_price, low_price = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=(4, 5),
    unpack=True
)

print("max=", high_price.max())
print("min=", low_price.min())
max= 364.9
min= 333.53

计算极差

  • 计算股价近期最高价的最大值和最小值的差值 和 计算股价近期最低价的最大值和最小值的差值

np.ptp(a, axis=None, out=None, keepdims= <no value=""> ) </no>

import numpy as np

high_price, low_price = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=(4, 5),
    unpack=True
)

print("max - min of high price:", np.ptp(high_price))
print("max - min of low price:", np.ptp(low_price))
max - min of high price: 24.859999999999957
max - min of low price: 26.970000000000027

计算中位数

  • 计算收盘价的中位数。
import numpy as np

end_price = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=6
)

print("median =", np.median(end_price))
median = 352.055

计算方差

  • 计算收盘价的方差。
import numpy as np

end_price = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=6
)

print("variance =", np.var(end_price))
print("variance =", end_price.var())
variance = 50.126517888888884
variance = 50.126517888888884

计算股票收益率、年波动率及月波动率

  • 在投资学中,波动率是对价格变动的一种度量,历史波动率可以根据历史价格数据计算得出。计算历史波动率时,需要用到对数收益率。
  • 年波动率等于对数收益率的标准差除以其均值,再乘以交易日的平方根,通常交易日取252天。
  • 月波动率等于对数收益率的标准差除以其均值,再乘以交易月的平方根。通常交易月取12月。
import numpy as np

end_price = np.loadtxt(
    fname="./data/stock_data.csv",
    delimiter=',',
    usecols=6
)

log_returns = np.diff(np.log(end_price))

annual_volatility = log_returns.std() / log_returns.mean() * np.sqrt(252)

monthly_volatility = log_returns.std() / log_returns.mean() * np.sqrt(12)

print("年波动率", annual_volatility)
print("月波动率", monthly_volatility)
年波动率 129.27478991115134
月波动率 28.210071915112593