Overall Statistics |
Total Orders
44390
Average Win
0.01%
Average Loss
-0.01%
Compounding Annual Return
1.030%
Drawdown
11.300%
Expectancy
0.054
Start Equity
100000
End Equity
116438.04
Net Profit
16.438%
Sharpe Ratio
-0.284
Sortino Ratio
-0.089
Probabilistic Sharpe Ratio
0.033%
Loss Rate
50%
Win Rate
50%
Profit-Loss Ratio
1.10
Alpha
-0.012
Beta
0.035
Annual Standard Deviation
0.032
Annual Variance
0.001
Information Ratio
-0.684
Tracking Error
0.141
Treynor Ratio
-0.259
Total Fees
$1815.47
Estimated Strategy Capacity
$11000.00
Lowest Capacity Asset
KELYB R735QTJ8XC9X
Portfolio Turnover
5.96%
|
# https://quantpedia.com/strategies/post-earnings-announcement-effect/ # # The investment universe consists of all stocks from NYSE, AMEX, and NASDAQ except financial and utility firms and stocks with prices less than $5. # Two factors are used: EAR (Earnings Announcement Return) and SUE (Standardized Unexpected Earnings). SUE is constructed by dividing the earnings # surprise (calculated as actual earnings minus expected earnings; expected earnings are computed using a seasonal random walk model with drift) # by the standard deviation of earnings surprises. EAR is the abnormal return for firms recorded over a three-day window centered on the last # announcement date, in excess of the return of a portfolio of firms with similar risk exposures. # Stocks are sorted into quantiles based on the EAR and SUE. To avoid look-ahead bias, data from the previous quarter are used to sort stocks. # Stocks are weighted equally in each quantile. The investor goes long stocks from the intersection of top SUE and EAR quantiles and goes short # stocks from the intersection of the bottom SUE and EAR quantiles the second day after the actual earnings announcement and holds the portfolio # one quarter (or 60 working days). The portfolio is rebalanced every quarter. # # QC Implementation changes: # - Universe consists of stocks, with earnings data from https://www.nasdaq.com/market-activity/earnings available. # - At least 4 years of seasonal earnings data is required to calculate earnigns surprise. # - At least 4 years of earnings surprise values are required for SUE calculation. # - Only long leg is traded since research paper claims that major part of strategy performance is produced by long leg only. #region imports from AlgorithmImports import * import numpy as np from collections import deque from pandas.tseries.offsets import BDay from dateutil.relativedelta import relativedelta from typing import Dict, List, Tuple, Deque #endregion class PostEarningsAnnouncementEffect(QCAlgorithm): def Initialize(self) -> None: self.SetStartDate(2010, 1, 1) self.SetCash(100_000) self.earnings_surprise: Dict[Symbol, float] = {} self.min_seasonal_eps_period: int = 4 self.min_surprise_period: int = 4 self.leverage: int = 5 self.percentile_range: List[int] = [80, 20] self.long: List[Symbol] = [] # SUE and EAR history for previous quarter used for statistics. self.sue_ear_history_previous: List[Tuple[float, float]] = [] self.sue_ear_history_actual: List[Tuple[float, float]] = [] # EPS data keyed by tickers, which are keyed by dates self.eps_by_ticker: Dict[str, float] = {} # daily price data self.price_data_with_date: Dict[Symbol, Deque[float]] = {} self.price_period: int = 63 self.market: Symbol = self.AddEquity('SPY', Resolution.Daily).Symbol self.price_data_with_date[self.market] = deque(maxlen=self.price_period) # parse earnings dataset self.first_date: Union[datetime.date, None] = None earnings_data: str = self.Download('data.quantpedia.com/backtesting_data/economic/earnings_dates_eps.json') earnings_data_json: List[dict] = json.loads(earnings_data) for obj in earnings_data_json: date: datetime.date = datetime.strptime(obj['date'], "%Y-%m-%d").date() if not self.first_date: self.first_date = date for stock_data in obj['stocks']: ticker: str = stock_data['ticker'] if stock_data['eps'] == '': continue # initialize dictionary for dates for specific ticker if ticker not in self.eps_by_ticker: self.eps_by_ticker[ticker] = {} # store EPS value keyed date, which is keyed by ticker self.eps_by_ticker[ticker][date] = float(stock_data['eps']) self.month: int = 12 self.selection_flag: bool = False self.Settings.MinimumOrderMarginPortfolioPercentage = 0. self.settings.daily_precise_end_time = False self.UniverseSettings.Resolution = Resolution.Daily self.AddUniverse(self.FundamentalSelectionFunction) self.Schedule.On(self.DateRules.MonthStart(self.market), self.TimeRules.AfterMarketOpen(self.market), self.Selection) def OnSecuritiesChanged(self, changes: SecurityChanges) -> None: for security in changes.AddedSecurities: security.SetFeeModel(CustomFeeModel()) security.SetLeverage(self.leverage) # remove earnings surprise data so it remains consecutive for security in changes.RemovedSecurities: symbol: Symbol = security.Symbol if symbol in self.earnings_surprise: del self.earnings_surprise[symbol] def FundamentalSelectionFunction(self, fundamental: List[Fundamental]) -> List[Symbol]: # update daily price data for stock in fundamental: symbol: Symbol = stock.Symbol if symbol in self.price_data_with_date: self.price_data_with_date[symbol].append((self.Time.date(), stock.AdjustedPrice)) if not self.selection_flag: return Universe.Unchanged self.selection_flag = False # filter only symbols, which have earnings data from csv selected: List[Symbol] = [ x.Symbol for x in fundamental if x.Symbol.Value in self.eps_by_ticker ] # SUE and EAR data sue_ear: Dict[Symbol, float] = {} current_date: datetime.date = self.Time.date() prev_three_months: datetime = current_date - relativedelta(months=3) # warmup price data for symbol in selected: ticker: str = symbol.Value recent_eps_data: Union[None, datetime.date] = None if symbol not in self.price_data_with_date: self.price_data_with_date[symbol] = deque(maxlen=self.price_period) history: DataFrame = self.History(symbol, self.price_period, Resolution.Daily) if history.empty: self.Log(f"Not enough data for {symbol} yet.") continue closes: Series = history.loc[symbol].close for time, close in closes.items(): self.price_data_with_date[symbol].append((time.date(), close)) # market price data is not ready yet if len(self.price_data_with_date[self.market]) != self.price_data_with_date[self.market].maxlen: return Universe.Unchanged if len(self.price_data_with_date[symbol]) != self.price_data_with_date[symbol].maxlen: continue # store all EPS data since previous three months window for date in self.eps_by_ticker[ticker]: if date < current_date and date >= prev_three_months: EPS_value: float = self.eps_by_ticker[ticker][date] # create tuple (EPS date, EPS value of specific stock) recent_eps_data: Tuple[datetime.date, float] = (date, EPS_value) break if recent_eps_data: last_earnings_date: datetime.date = recent_eps_data[0] # get earnings history until previous earnings earnings_eps_history: List[Tuple[datetime.date, float]] = [ (x, self.eps_by_ticker[ticker][x]) for x in self.eps_by_ticker[ticker] if x < last_earnings_date ] # seasonal earnings for previous years # prev_month_date = last_earnings_date - relativedelta(months=1) # next_month_date = last_earnings_date + relativedelta(months=1) # month_range = [prev_month_date.month, last_earnings_date.month, next_month_date.month] # seasonal_eps_data = [x for x in earnings_eps_history if x[0].month in month_range] seasonal_eps_data: List[Tuple[datetime.date, float]] = [ x for x in earnings_eps_history if x[0].month == last_earnings_date.month ] if len(seasonal_eps_data) >= self.min_seasonal_eps_period: # make sure we have a consecutive seasonal data. Same months with one year difference year_diff: np.ndarray = np.diff([x[0].year for x in seasonal_eps_data]) if all(x == 1 for x in year_diff): # SUE calculation seasonal_eps: List[float] = [x[1] for x in seasonal_eps_data] diff_values: np.ndarray = np.diff(seasonal_eps) drift: float = np.average(diff_values) last_earnings_eps: float = seasonal_eps[-1] expected_earnings: float = last_earnings_eps + drift actual_earnings: float = recent_eps_data[1] earnings_surprise: float = actual_earnings - expected_earnings # initialize suprise data if symbol not in self.earnings_surprise: self.earnings_surprise[symbol] = [] # surprise data is ready. elif len(self.earnings_surprise[symbol]) >= self.min_surprise_period: earnings_surprise_std: float = np.std(self.earnings_surprise[symbol]) sue: float = earnings_surprise / earnings_surprise_std # EAR calculation min_day: datetime.date = (last_earnings_date - BDay(2)).date() max_day: datetime.date = (last_earnings_date + BDay(1)).date() stock_closes_around_earnings: List[Symbol] = [x for x in self.price_data_with_date[symbol] if x[0] >= min_day and x[0] <= max_day] market_closes_around_earnings: List[Symbol] = [x for x in self.price_data_with_date[self.market] if x[0] >= min_day and x[0] <= max_day] if len(stock_closes_around_earnings) == 4 and len(market_closes_around_earnings) == 4: stock_return: float = stock_closes_around_earnings[-1][1] / stock_closes_around_earnings[0][1] - 1 market_return: float = stock_closes_around_earnings[-1][1] / stock_closes_around_earnings[0][1] - 1 ear: float = stock_return - market_return sue_ear[symbol] = (sue, ear) # store pair in this month's history self.sue_ear_history_actual.append((sue, ear)) self.earnings_surprise[symbol].append(earnings_surprise) # wait until we have history data for previous three months. if len(sue_ear) != 0 and len(self.sue_ear_history_previous) != 0: # Sort by SUE and EAR. sue_values: List[float] = [x[0] for x in self.sue_ear_history_previous] ear_values: List[float] = [x[1] for x in self.sue_ear_history_previous] top_sue_quantile: float = np.percentile(sue_values, self.percentile_range[0]) bottom_sue_quantile: float = np.percentile(sue_values, self.percentile_range[1]) top_ear_quantile: float = np.percentile(ear_values, self.percentile_range[0]) bottom_ear_quantile: float = np.percentile(ear_values, self.percentile_range[1]) self.long: List[Symbol] = [x[0] for x in sue_ear.items() if x[1][0] >= top_sue_quantile and x[1][1] >= top_ear_quantile] return self.long def OnData(self, data: Slice) -> None: # order execution targets: List[PortfolioTarget] = [] for symbol in self.long: if symbol in data and data[symbol]: targets.append(PortfolioTarget(symbol, 1. / len(self.long))) self.SetHoldings(targets, True) self.long.clear() def Selection(self) -> None: self.selection_flag = True # store new EAR and SUE values every three months if self.month % 3 == 0: # Save previous month history. self.sue_ear_history_previous = self.sue_ear_history_actual self.sue_ear_history_actual.clear() self.month += 1 if self.month > 12: self.month = 1 # Custom fee model class CustomFeeModel(FeeModel): def GetOrderFee(self, parameters): fee = parameters.Security.Price * parameters.Order.AbsoluteQuantity * 0.00005 return OrderFee(CashAmount(fee, "USD"))