Quant Buffet放轻松,别过度思虑

异常现象中的季节性效应

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学术论文

Common Factors in Stock Market Seasonalities

作者Return Seasonalities [点击查看论文]

机构
  • SEResearch Institute of Industrial Economics
  • FIAalto University
  • Centre for Economic Policy Research
  • ?Aalto University - School of Business
  • ?Centre for Economic Policy Research (CEPR)
  • ?Research Institute of Industrial Economics (IFN)
  • National Bureau of Economic Research
  • Dartmouth College
  • ?Dartmouth College - Tuck School of Business
  • ?National Bureau of Economic Research (NBER)

策略概要

投资范围包括在纽约证券交易所、美国证券交易所和纳斯达克上市的股票,以及来自CRSP的月度回报数据和来自Compustat的会计数据。投资者根据过去20年相同日历月的回报,做多表现最佳的三个异常投资组合,做空表现最差的三个异常投资组合。投资组合按价值加权,每月重新平衡。每个投资组合持有一个月,旨在利用通过异常现象识别出的高回报和低回报股票之间的业绩差异获利。该策略侧重于利用基于历史业绩数据的可预测模式。

II. 策略合理性

回测表现

波动率16.92%
夏普比率1.06
胜率48%

完整 Python 代码

from AlgorithmImports import *
#endregion
# https://quantpedia.com/strategies/seasonality-effect-in-anomalies/
#
# The investment universe consists of stocks listed at NYSE, AMEX, and NASDAQ, with monthly return data available at CRSP Database. Accounting data (such as firms’ book values) 
# are obtained from Compustat. The investor takes the long position on three best-performing and short on three worst-performing anomaly portfolios. According to the same-calendar
# month returns of the portfolios (their formation is outlined in the description of Table 4, page 43) over the period of the last 20 years. Stocks in the portfolios are 
# value-weighted, the portfolio is to be rebalanced monthly and held for one month.
#
# QC implementation:
#   - Seasonal performance is calculated over 10 year period.
#   - Investment universe consists of Quantpedia's equity long-short anomalies.
class SeasonalityEffectinAnomalies(QCAlgorithm):
def Initialize(self):
self.SetStartDate(2000, 1, 1)
self.SetCash(100000)
# ids with backtest period end year
self.backtest_to = {}

# daily price data
self.perf = {}
self.period = 21
self.SetWarmUp(self.period)
# monthly returns
self.monthly_returns = {}
self.min_seasonal_period = 10

csv_string_file = self.Download('data.quantpedia.com/backtesting_data/equity/quantpedia_strategies/backtest_end_year.csv')
lines = csv_string_file.split('\r\n')
last_id = None
for line in lines[1:]:
    split = line.split(';')
    id = str(split[0])
    backtest_to = int(split[1])
    
    data = self.AddData(QuantpediaEquity, id, Resolution.Daily)
    data.SetLeverage(10)
    data.SetFeeModel(CustomFeeModel())
    
    self.backtest_to[id] = backtest_to
    self.perf[id] = self.ROC(id, self.period, Resolution.Daily)
    self.monthly_returns[id] = []
    
    if not last_id:
        last_id = id
self.recent_month = -1

def OnData(self, data):
if self.IsWarmingUp:
    return
if self.Time.month == self.recent_month:
    return
self.recent_month = self.Time.month

seasonal_return = {}

for id in self.perf:
    if self.perf[id].IsReady and id in data and data[id]:
        # store monthly returns
        perf = self.perf[id].Current.Value
        self.monthly_returns[id].append((perf, self.Time.month - 1))
        
        # calculate seasonal performance of those strategies, which were published last year and sooner
        if self.backtest_to[id] < self.Time.year:
            seasonal_monthly_returns = [x[0] for x in self.monthly_returns[id] if x[1] == self.Time.month]
            
            # monthly data for at least 10 years is ready
            if len(seasonal_monthly_returns) >= self.min_seasonal_period:
                seasonal_return[id] = sum(seasonal_monthly_returns[-self.min_seasonal_period:])
long = []
short = []

# seasonal return sorting
count_traded = 3
if len(seasonal_return) >= count_traded*2:
    sorted_by_perf = sorted(seasonal_return.items(), key = lambda x: x[1], reverse = True)
    long = [x[0] for x in sorted_by_perf[:count_traded]]
    short = [x[0] for x in sorted_by_perf[-count_traded:]]
# trade execution
invested = [x.Key for x in self.Portfolio if x.Value.Invested]
for symbol in invested:
    if symbol not in long + short:
        self.Liquidate(symbol)

long_count = len(long)                
short_count = len(short)

for symbol in long:
    self.SetHoldings(symbol, 1 / long_count)
for symbol in short:
    self.SetHoldings(symbol, -1 / short_count)
    
# Quantpedia strategy equity curve data.
# NOTE: IMPORTANT: Data order must be ascending (datewise)
class QuantpediaEquity(PythonData):
def GetSource(self, config, date, isLiveMode):
return SubscriptionDataSource("data.quantpedia.com/backtesting_data/equity/quantpedia_strategies/{0}.csv".format(config.Symbol.Value), SubscriptionTransportMedium.RemoteFile, FileFormat.Csv)
def Reader(self, config, line, date, isLiveMode):
data = QuantpediaEquity()
data.Symbol = config.Symbol

if not line[0].isdigit(): return None
split = line.split(';')

data.Time = datetime.strptime(split[0], "%Y-%m-%d") + timedelta(days=1)
data['close'] = float(split[1])
data.Value = float(split[1])
return data

# Custom fee model.
class CustomFeeModel(FeeModel):
def GetOrderFee(self, parameters):
fee = parameters.Security.Price * parameters.Order.AbsoluteQuantity * 0.00005
return OrderFee(CashAmount(fee, "USD"))