探路者5号
import jqdata
import pandas as pd
import numpy as np
import datetime
import math
import scipy.stats as stats
import matplotlib.pyplot as plt
matplotlib.rcParams['axes.unicode_minus']=False # 解决负号显示异常的问题
from jqlib.technical_analysis import *
from jqdata import *
from sklearn import linear_model
from sklearn.metrics import mean_squared_error, r2_score
# 使用聚宽api读取指数数据,参数ben为指数代码,end_date为数据截止日
# 返回一个dataframe,index为交易日,columns为开、收盘价等基本数据,数据起始为指数上市日(最早到聚宽数据初始的2005年1月1日)
def get_data(ben,end_date):
ben_sd = get_security_info(ben).start_date
sdate = (ben_sd if ben_sd>datetime.date(2005,1,1) else '2005-01-01')
return get_price(ben,sdate,end_date)
# 读取数据文件,参数为文件名(带完整路径),返回dataframe包含基本数据,index为日期
def load_data(filename):
df = pd.read_csv(filename,encoding='gbk')
df['date'] = df.ix[:,0]
del df[df.columns[0]]
df = df.set_index(['date'],drop=True)
# 将dataframe的数据全部转换成数字型,方便后续操作
df = df.convert_objects(convert_numeric=True)
return df
# 计算最大回撤,参数为策略净值序列(list or series)
# 思路:i从序列的第二个值开始,依次检查序列从头到i这一段的max和i值,计算是否有回撤(与0比较)并记录;
# 取所有回撤中的最大值即为最大回撤(负值取最小值),找到最小回撤点ie,对应回撤终点,然后找到从头开始到ie这段之间的最大值即为回撤起点
# 返回最大回撤值(正),回撤区间(序列index,如果传入的是series,返回series的index,list返回下标)
def calc_max_drawdown(rets):
dd=[0]*len(rets)
tmp_mdd=0
for j in range(1,len(rets)):
dd[j] = min(rets[j]/max(rets[:j+1])-1, 0)
tmp_mdd = min(min(dd[:j+1]),tmp_mdd)
# print (tmp_mdd)
ie=np.argmin(dd)
ist=np.argmax(rets[:ie])
# print (ie,ist)
return -tmp_mdd*100.0,ist,rets.index[ie]
# 计算N日均线,参数为指数数据ind_df,时间段窗口N,返回dataframe,包含指数基本数据和新加列MA_N
# 注意,为防止未来函数,第i天存储的是i-1天收盘后求出的N日均线值
def calc_MA(ind_df,N):
h=ind_df.copy()
for i in range(N+1,len(h)):
h.loc[h.index[i],'MA_N'] = h['close'][(i-N-1):i].mean()
return np.round(h,6)
# 计算N日均线择时策略,参数为指数数据ben,回测起止日s_d和e_d,以及手续费cpr(单边)
# 返回一个净值记录dataframe,index为交易日,columns包括净值序列(含and不含手续费)、开平仓信号、持仓状态
def calc_strategy_result(ben,s_d,e_d,cpr):
# 均线参数
N=5
th=0.01
# 获取数据
df=calc_MA(ben,N)
df=df.dropna()
df_t=df[s_d:e_d] # 截取回测区间数据
is_holding=False # 持仓标志位
nav=pd.DataFrame(columns={'etf','etf_cost','benchmark','flag','position','excess_return'},index=df_t.index)
nav.loc[:,:]=-36.9 #初始化
# 执行策略,从回测区间第一个交易日开始逐日循环,遇到开仓信号开仓、平仓信号平仓,同时记录净值及相关操作
# nav记录的是每日收盘后的数据及状态,策略默认开盘时执行
for i in range(0,len(df_t)):
navv = (1.0000 if i==0 else nav['etf'][i-1]) # 开盘前临时净值,初始为1,后续为昨日收盘后净值记录
navc = (1.0000 if i==0 else nav['etf_cost'][i-1]) # 对应含手续费净值临时值
if not is_holding: # 当前空仓
if df_t['open'][i]>((1+th)*df_t['MA_N'][i]): # 遇到开仓信号,买入
# 开盘价买入,故今日收盘后净值记录应对应增长close/open
nav['etf'][i] = df_t['close'][i] / df_t['open'][i] * navv
nav['etf_cost'][i] = df_t['close'][i] / df_t['open'][i] * navc * (1-cpr)
# 记录今日信号flag=1,今日收盘后持仓状态position=1
nav['flag'][i]=1
nav['position'][i]=1
is_holding=True
else: # 没有开仓信号,等待
# 今日未开仓,故今日净值较昨日无变化
nav['etf'][i] = navv
nav['etf_cost'][i] = navc
# 记录今日信号flag=0,今日收盘后持仓状态position=0
nav['flag'][i]=0
nav['position'][i]=0
else: # 当前持仓
if df_t['open'][i]<((1-th)*df_t['MA_N'][i]): # 遇到平仓信号,卖出
# 开盘价买卖出,故今日收盘后净值记录应对应增长open/last-close
nav['etf'][i] = df_t['open'][i] / df_t['close'][i-1] * navv
nav['etf_cost'][i] = df_t['open'][i] / df_t['close'][i-1] * navc *(1-cpr)
# 记录今日信号flag=-1,今日收盘后持仓状态position=0
nav['flag'][i]=-1
nav['position'][i]=0
is_holding=False
else: # 没有平仓信号,继续持有
# 今日继续持有,故净值对应增长close/last-close
nav['etf'][i] = df_t['close'][i] / df_t['close'][i-1] * navv
nav['etf_cost'][i] = df_t['close'][i] / df_t['close'][i-1] * navc
# 记录今日信号flag=0,今日收盘后持仓状态position=1
nav['flag'][i]=0
nav['position'][i]=1
# 计算基准(即指数本身)净值序列
tmp=df_t.copy()
nav.loc[:,'benchmark'] = tmp.loc[:,'close'] / tmp.loc[tmp.index[0],'open']
nav.loc[:,'excess_return']=nav.loc[:,'etf'] / nav.loc[:,'benchmark']-1.0 # 计算超额收益
return np.round(nav,6)
def calc_risk_metrics(nav):
risks={}
Rf=0.04 #无风险收益,年化
# 计算收益
risks['algorithm_return'] = nav['etf'][len(nav)-1]-1
risks['annual_algo_return']=math.pow(nav['etf'][len(nav)-1],250/len(nav))-1
risks['benchmark_return']=nav['benchmark'][len(nav)-1]-1
risks['annual_bm_return']=math.pow(nav['benchmark'][len(nav)-1],250/len(nav))-1
# 计算alpha,beta,sharpe,volatility及IR,参考聚宽
rets=nav[['etf','benchmark']].pct_change()[1:]
risks['beta']=rets.cov().iloc[0,1]/rets.cov().iloc[1,1]
risks['alpha']=risks['annual_algo_return'] - risks['beta']*(risks['annual_bm_return']-Rf) - Rf
risks['algorithm_volatility']=rets['etf'].std() * math.sqrt(250)
risks['benchmark_volatility']=rets['benchmark'].std() * math.sqrt(250)
risks['sharpe']=(risks['annual_algo_return']-Rf)/risks['algorithm_volatility']
diffvol=(rets['etf']-rets['benchmark']).std() * math.sqrt(250)
risks['information_ratio']=(risks['annual_algo_return']-risks['annual_bm_return'])/diffvol
# 计算交易次数,盈利、亏损数,胜率,盈亏比以及持仓天数
risks['test_days'] = len(nav)
risks['holding_days']=nav['position'].sum()
buy_count=len(nav[nav['flag']==1])
sell_count=len(nav[nav['flag']==-1])
risks['trade_count']=[buy_count,sell_count]
# 遍历净值记录,统计盈利交易数及亏损数
wc=0
lc=0
cp=0.0
cl=0.0
for i in range(0,len(nav)):
if nav['flag'][i]==1:
bbnav=(1.0000 if i==0 else nav['etf'][i-1]) # 盈亏基准约为买入日前一日净值
for j in range(i+1,len(nav)):
if nav['flag'][j]==-1: # 找到每一次买入后最近的一次卖出
if nav['etf'][j]>=bbnav: # 忽略买入日开盘价相对前一日收盘价变化
wc += 1
cp += nav['etf'][j]-bbnav
else:
lc += 1
cl += abs(nav['etf'][j]-bbnav)
break
risks['win_count']=wc
risks['lose_count']=lc
risks['win_ratio']=2.0*wc/sum(risks['trade_count'])
risks['profit_to_loss_ratio']=(cp/cl if cl!=0.0 else 99999999.999)
# 计算最大回撤及对应区间
risks['max_drawdown'],t1,t2=calc_max_drawdown(nav['etf'])
risks['max_drawdown_period']=[t1.date(),t2.date()]
return risks
# 测试指数沪深300,首先获取数据
test_index='000300.XSHG'
end_date='2018-08-26'
h=get_data(test_index,end_date)
#回测时间段
bt_start='2010-01-01'
bt_end='2018-08-26'
cost_per_trade=0.001 / 2 # 手续费双边千分之一,单边万五
s_time = datetime.datetime.now()
ind_nav_record=calc_strategy_result(h,bt_start,bt_end,cost_per_trade)
e_time = datetime.datetime.now()
interval = (e_time - s_time).seconds
print ('carry out strategy cost : ' + str(interval) + ' seconds.')
carry out strategy cost : 4 seconds.
test_results=calc_risk_metrics(ind_nav_record)
print ('risk metrics:\n%s' %(test_results))
risk metrics: {'algorithm_return': -0.059395961918122908, 'annual_algo_return': -0.007252816343104929, 'benchmark_return': -0.07436100000000001, 'annual_bm_return': -0.009143741728235621, 'beta': 0.3792864136980269, 'alpha': -0.028613262787300364, 'algorithm_volatility': 0.14404218986684061, 'benchmark_volatility': 0.23319284571995788, 'sharpe': -0.32804844460354055, 'information_ratio': 0.010273628566577268, 'test_days': 2103, 'holding_days': 1076, 'trade_count': [111, 110], 'win_count': 39, 'lose_count': 71, 'win_ratio': 0.35294117647058826, 'profit_to_loss_ratio': 0.96364964951319554, 'max_drawdown': 29.947693016804799, 'max_drawdown_period': [datetime.date(2015, 5, 26), datetime.date(2016, 7, 8)]}
ind_nav_record[['etf','etf_cost','benchmark','excess_return']].plot()
<matplotlib.axes._subplots.AxesSubplot at 0x7f28897230f0>
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