该策略投资于纽交所、美国证券交易所和纳斯达克的非金融类股票,筛选大盘股和小盘股。通过四个“盈利质量”比率(现金流与报告盈利比、股本回报率ROE、现金流与资产比CF/A、负债与资产比D/A)进行综合评分,做多得分前30%的股票,做空后30%的股票,每年重新平衡。

策略概述

投资范围包括纽交所、美国证券交易所和纳斯达克的所有非金融类股票。

大盘股定义为市值占总市场市值90%的最大股票,小盘股占剩余10%的市值。投资者通过大盘股和小盘股的多种“盈利质量”比率的30%和70%百分位数定义断点。

投资者通过计算每只股票在四个质量指标中的百分位数分数(“高质量”得分高,理想情况下,股票有低应计利润、低杠杆率、高ROE和高现金流),形成一个综合质量得分。然后,通过做多小盘股和大盘股中得分前30%的股票,做空小盘股和大盘股中得分后30%的股票,按市值加权个股形成投资组合。

最终的因子组合在每年6月底形成,并每年重新平衡。

策略合理性

该效应主要由投资者的行为缺陷解释。大多数投资者通常过分关注实际盈利,而不会仔细审查盈利质量。因此,深入分析可以利用这一市场效率低下现象。

论文来源

Global Return Premiums on Earnings Quality, Value, and Size [点击浏览原文]

<摘要>

我们使用涵盖所有发达市场的最新全球数据集(从1988年7月到2012年6月)调查了高盈利质量股票的回报溢价。我们发现,简单的做多高盈利质量股票、做空低盈利质量股票的策略产生的夏普比率高于整体市场或类似的基于价值或小盘股的策略。这一结果在整体样本中以及2005年后的较新时期都成立。由于全球盈利质量投资组合与价值投资组合之间存在负相关关系,投资者可以通过同时投资于这两种暴露来实现显著的多样化收益。

回测表现

年化收益率7.95%
波动率5.91%
Beta0.021
夏普比率-0.18
索提诺比率N/A
最大回撤94.9%
胜率49%

完整python代码

class EarningsQualityFactor(XXX):

    def Initialize(self):
        self.SetStartDate(2000, 1, 1)
        self.SetCash(100000)

        self.coarse_count = 3000

        self.symbol = self.AddEquity('SPY', Resolution.Daily).Symbol
        
        self.accruals_data = {}
        
        self.long = []
        self.short = []
        
        self.data = {}
        
        self.selection_flag = True
        self.UniverseSettings.Resolution = Resolution.Daily
        self.AddUniverse(self.CoarseSelectionFunction, self.FineSelectionFunction)
        
        self.Schedule.On(self.DateRules.MonthEnd(self.symbol), self.TimeRules.AfterMarketOpen(self.symbol), self.Selection)
        
    def OnSecuritiesChanged(self, changes):
        for security in changes.AddedSecurities:
            security.SetLeverage(10)
            security.SetFeeModel(CustomFeeModel(self))

    def CoarseSelectionFunction(self, coarse):
        if not self.selection_flag:
            return Universe.Unchanged
        
        selected = [x.Symbol for x in coarse if x.HasFundamentalData and x.Market == 'usa']
        
        return selected

    def FineSelectionFunction(self, fine):
        fine = [x for x in fine if x.MarketCap != 0 and      \
                x.CompanyReference.IndustryTemplateCode != "B" and \
                ((x.SecurityReference.ExchangeId == "NYS") or (x.SecurityReference.ExchangeId == "NAS") or (x.SecurityReference.ExchangeId == "ASE")) and   \
                x.FinancialStatements.BalanceSheet.CurrentAssets.Value != 0 and  \
                x.FinancialStatements.BalanceSheet.CashAndCashEquivalents.Value != 0 and    \
                x.FinancialStatements.BalanceSheet.CurrentLiabilities.Value != 0 and    \
                x.FinancialStatements.BalanceSheet.CurrentDebt.Value != 0 and   \
                x.FinancialStatements.IncomeStatement.DepreciationAndAmortization.Value != 0 and    \
                x.FinancialStatements.BalanceSheet.GrossPPE.Value != 0 and  \
                x.FinancialStatements.IncomeStatement.TotalRevenueAsReported.Value != 0 and \
                x.FinancialStatements.CashFlowStatement.OperatingCashFlow.Value != 0 and    \
                x.EarningReports.BasicEPS.Value != 0 and    \
                x.EarningReports.BasicAverageShares.Value != 0 and  \
                x.OperationRatios.DebttoAssets.Value != 0 and   \
                x.OperationRatios.ROE.Value != 0
                ]
                
        if len(fine) > self.coarse_count:
            sorted_by_market_cap = sorted(fine, key = lambda x: x.MarketCap, reverse=True)
            top_by_market_cap = [x for x in sorted_by_market_cap[:self.coarse_count]]
        else:
            top_by_market_cap = fine

        for stock in top_by_market_cap:
            symbol = stock.Symbol

            if symbol not in self.accruals_data:
                # Data for previous year.
                self.accruals_data[symbol] = None
                
            # Accrual calc.
            current_accruals_data = AcrrualsData(stock.FinancialStatements.BalanceSheet.CurrentAssets.Value, stock.FinancialStatements.BalanceSheet.CashAndCashEquivalents.Value,
                                                stock.FinancialStatements.BalanceSheet.CurrentLiabilities.Value, stock.FinancialStatements.BalanceSheet.CurrentDebt.Value, stock.FinancialStatements.BalanceSheet.IncomeTaxPayable.Value,
                                                stock.FinancialStatements.IncomeStatement.DepreciationAndAmortization.Value, stock.FinancialStatements.BalanceSheet.TotalAssets.Value,
                                                stock.FinancialStatements.IncomeStatement.TotalRevenueAsReported.Value)
            
            # There is not previous accruals data.
            if not self.accruals_data[symbol]:
                self.accruals_data[symbol] = current_accruals_data
                continue
            
            current_accruals = self.CalculateAccruals(current_accruals_data, self.accruals_data[symbol])
            
            # cash flow to assets
            CFA = stock.FinancialStatements.CashFlowStatement.OperatingCashFlow.Value / (stock.EarningReports.BasicEPS.Value * stock.EarningReports.BasicAverageShares.Value)
            # debt to assets
            DA = stock.OperationRatios.DebttoAssets.Value
            # return on equity
            ROE = stock.OperationRatios.ROE.Value
            
            if symbol not in self.data:
                self.data[symbol] = None

            self.data[symbol] = StockData(current_accruals, CFA, DA, ROE)
            self.accruals_data[symbol] = current_accruals_data

        # Remove not updated symbols.
        updated_symbols = [x.Symbol for x in top_by_market_cap]
        not_updated = [x for x in self.data if x not in updated_symbols]
        for symbol in not_updated:
            del self.data[symbol]
            del self.accruals_data[symbol]
            
        return [x[0] for x in self.data.items()]
    
    def OnData(self, data):
        if not self.selection_flag:
            return
        self.selection_flag = False

        # Sort stocks by four factors respectively.
        sorted_by_accruals = sorted(self.data.items(), key=lambda x: x[1].Accruals, reverse=True) # high score with low accrual 
        sorted_by_CFA = sorted(self.data.items(), key=lambda x: x[1].CFA)                       # high score with high CFA
        sorted_by_DA = sorted(self.data.items(), key=lambda x: x[1].DA, reverse=True)           # high score with low leverage
        sorted_by_ROE = sorted(self.data.items(), key=lambda x: x[1].ROE)                       # high score with high ROE
        
        score = {}

        # Assign a score to each stock according to their rank with different factors.
        for i, obj in enumerate(sorted_by_accruals):
            score_accruals = i
            score_CFA = sorted_by_CFA.index(obj)
            score_DA = sorted_by_DA.index(obj)
            score_ROE = sorted_by_ROE.index(obj)
            score[obj[0]] = score_accruals + score_CFA + score_DA + score_ROE
                
        sorted_by_score = sorted(score.items(), key = lambda x: x[1], reverse = True)
        tercile = int(len(sorted_by_score) / 3)
        long = [x[0] for x in sorted_by_score[:tercile]]
        short = [x[0] for x in sorted_by_score[-tercile:]]
        
        # Trade execution.
        # NOTE: Skip year 2007 due to data error.
        if self.Time.year == 2007:
            self.Liquidate()
            return
        
        stocks_invested = [x.Key for x in self.Portfolio if x.Value.Invested]
        for symbol in stocks_invested:
            if symbol not in long + short:
                self.Liquidate(symbol)

        for symbol in long:
            if self.Securities[symbol].Price != 0 and self.Securities[symbol].IsTradable:  # Prevent error message.
                self.SetHoldings(symbol, 1 / len(long))
        for symbol in short:
            if self.Securities[symbol].Price != 0 and self.Securities[symbol].IsTradable:  # Prevent error message.
                self.SetHoldings(symbol, -1 / len(short))
        
    # Source: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=3188172                
    def CalculateAccruals(self, current_accrual_data, prev_accrual_data):
        delta_assets = current_accrual_data.CurrentAssets - prev_accrual_data.CurrentAssets
        delta_cash = current_accrual_data.CashAndCashEquivalents - prev_accrual_data.CashAndCashEquivalents
        delta_liabilities = current_accrual_data.CurrentLiabilities - prev_accrual_data.CurrentLiabilities
        delta_debt = current_accrual_data.CurrentDebt - prev_accrual_data.CurrentDebt
        dep = current_accrual_data.DepreciationAndAmortization
        total_assets_prev_year = prev_accrual_data.TotalAssets
        
        acc = (delta_assets - delta_liabilities - delta_cash + delta_debt - dep) / total_assets_prev_year
        return acc
    
    def Selection(self):
        if self.Time.month == 7:
            self.selection_flag = True
        
class AcrrualsData():
    def __init__(self, current_assets, cash_and_cash_equivalents, current_liabilities, current_debt, income_tax_payable, 
                        depreciation_and_amortization, total_assets, sales):
        self.CurrentAssets = current_assets
        self.CashAndCashEquivalents = cash_and_cash_equivalents
        self.CurrentLiabilities = current_liabilities
        self.CurrentDebt = current_debt
        self.IncomeTaxPayable = income_tax_payable
        self.DepreciationAndAmortization = depreciation_and_amortization
        self.TotalAssets = total_assets
        
        self.Sales = sales
        
class StockData():
    def __init__(self, accruals, cfa, da, roe):
        self.Accruals = accruals
        self.CFA = cfa
        self.DA = da
        self.ROE = roe

def MultipleLinearRegression(x, y):
    x = np.array(x).T
    x = sm.add_constant(x)
    result = sm.OLS(endog=y, exog=x).fit()
    return result

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

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