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row.","sample":[{"start":"2000-01-01T05:00:00Z","end":"2001-03-31T05:00:00","trading_days":169},{"start":"2008-02-05T05:00:00","end":"2008-03-04T05:00:00","trading_days":20},{"start":"2011-12-02T05:00:00","end":"2011-12-07T05:00:00","trading_days":4},{"start":"2012-01-04T05:00:00","end":"2012-01-07T05:00:00","trading_days":4},{"start":"2009-11-03T05:00:00","end":"2009-11-05T05:00:00","trading_days":3}],"count":61,"solutions":["Log how often each entry condition passes individually: when several conditions must align (trend, volume, indicator thresholds), it is common that they are never all true at the same time. Relax the single most restrictive condition and re-run, changing one condition per backtest instead of redesigning the strategy.","Check if you need to warm-up some data structures, including indicators, RollingWindow objects, and training data. Log how many assets pass IsReady or warm-up gates: they can silently exclude most of the universe.","Check if the algorithm subscribes to any assets. Is the universe selection actually selecting anything? Log the selection count on each rebalance.","Check custom data sources actually deliver data by logging the first points received: a reader or date-format error can silently produce no data and therefore no signals.","Check minimum-history or training-window requirements against the history the data source actually provides: if a model requires more history than exists, the trading logic may never activate.","Check if there is enough cash to satisfy the minimum order sizes."]},{"name":"InsufficientBuyingPowerOrderResponseErrorAnalysis","issue":"One of the following cases occurred:\n - The algorithm tried to place an order but the buying power model determined you couldn't afford it\n - The algorithm tried to place a market on open order with daily data","sample":"Order Error: ids: [84], Insufficient buying power to complete orders (Value:[107740.6266]), Reason: Id: 84, Initial Margin: 53875.700350550237892, Free Margin: 53475.1341209644669777346.","count":3,"solutions":["This error occurs when you place an order but the buying power model determines you can't afford it.\nTo avoid this order response error, ensure you have enough margin remaining to cover the initial margin requirements of the order before placing it.\nExample for regular orders:\n```\ndef on_data(self, slice: Slice) -> None:\n    security = self.securities[\"SPY\"]\n    quantity = 100\n    parameter = InitialMarginParameters(security, quantity)\n    initial_margin = security.buying_power_model.get_initial_margin_requirement(parameter)\n    if self.portfolio.margin_remaining >= initial_margin.value:\n        self.market_order(security.symbol, quantity)\n    else:\n        self.debug(\"You don't have sufficient margin for this order.\")\n```","This error also commonly occurs when you place a market on open order with daily data. If you place the order with `set_holdings` or use `calculate_order_quantity` to determine the order quantity, LEAN calculates the order quantity based on the market close price. If the open price on the following day makes your order more expensive, then you may have insufficient buying power. To avoid the order response error in this case, either use intraday data and place trades when the market is open or adjust your buying power buffer.\n```\n# Set the cash buffer to 5%\nself.settings.free_portfolio_value_percentage = 0.05\n\n# Set the cash buffer to $10,000\nself.settings.free_portfolio_value = 10000\n```\nIf you use `free_portfolio_value_percentage`, you must set it in the `initialize` or `post_initialize` event handler. If you use `free_portfolio_value`, you must set it after the `post_initialize` event handler."]},{"name":"PortfolioMarginUsageAnalysis","issue":"The algorithm sometimes only utilizes a small proportion of the margin available.","sample":"Number of days when the 3-day SMA of the margin usage drops below 50%: 8906","solutions":["Adjust the strategy logic or position sizing to utilize more margin.","If the algorithm logic leads to periods of time when the portfolio sits in cash, consider holding a \"risk-free\" asset during these periods."]},{"name":"PerformanceRelativeToBenchmarkAnalysis","issue":"The strategy has a lower Sharpe ratio than the benchmark.","sample":{"backtestSharpe":-1.4812415012442397,"benchmarkSharpe":-1.1085894562560332},"solutions":["Try adjusting the trading rules and\/or the universe to get a strategy that outperforms the benchmark."]},{"name":"CrisisEventsAnalysis","issue":"The strategy underperformed the benchmark during some crisis events in terms of risk-adjusted returns.","sample":{"crisisEvent":"U.S. Housing Bubble 2003","backtestSharpe":-22.322666700323946,"benchmarkSharpe":-1.5785454567649142},"count":8,"solutions":["Consider adding risk management techniques such as stop-loss orders, position sizing, Option hedging, and diversification to mitigate losses during turbulent periods."]}]},"backtestId":"ef95e3da2337bd11bc9837efaa0dc5d3","files":[{"id":null,"content":"# https:\/\/quantpedia.com\/strategies\/crude-oil-predicts-equity-returns\/\n#\n# Several types of oil can be used (Brent, WTI, Dubai etc.) without big differences in results. The source paper for\n# this anomaly uses Arab Light crude oil. Monthly oil returns are used in the regression equation as an independent\n# variable and equity returns are used as a dependent variable. The model is re-estimated every month and\n# observations of the last month are added. The investor determines whether the expected stock market return in \n# a specific month (based on regression results and conditional on the oil price change in the previous month) is higher\n# or lower than the risk-free rate. The investor is fully invested in the market portfolio if the expected\n# return is higher (bull market); he invests in cash if the expected return is lower (bear market).\n\nfrom data_tools import QuantpediaFutures, CustomFeeModel, InterestRate3M\nfrom AlgorithmImports import *\nfrom typing import Dict, List, Optional, Tuple\nfrom scipy import stats\n\nMonth = Tuple[int, int]\n\nclass CrudeOilPredictsEquityReturns(QCAlgorithm):\n\n    def Initialize(self) -> None:\n        self.SetStartDate(2000, 1, 1)\n        self.SetCash(100000)\n\n        self.min_period: int = 13\n        self.leverage: int = 2\n\n        self.symbols: List[str] = [\n            \"CME_ES1\",  # E-mini S&P 500 Futures, Continuous Contract #1\n            \"CME_CL1\"   # Crude Oil Futures, Continuous Contract #1\n        ]\n\n        self.cash: Symbol = self.AddEquity(\"SHY\", Resolution.Daily).Symbol\n        self.risk_free_rate: Symbol = self.AddData(\n            InterestRate3M,\n            \"IR3TIB01USM156N\",\n            Resolution.Daily\n        ).Symbol\n\n        self.monthly_prices: Dict[str, Dict[Month, float]] = {}\n        for symbol in self.symbols:\n            security = self.AddData(QuantpediaFutures, symbol, Resolution.Daily)\n            security.SetLeverage(self.leverage)\n            security.SetFeeModel(CustomFeeModel())\n            self.monthly_prices[symbol] = {}\n\n        self.Settings.MinimumOrderMarginPortfolioPercentage = 0.\n\n        self.recent_month: Optional[Month] = None\n        self.pending_allocation: Optional[bool] = None\n        self.pending_month: Optional[Month] = None\n\n    def OnData(self, data: Slice) -> None:\n        self._update_monthly_prices(data)\n\n        last_update_date: Dict[str, datetime.date] = QuantpediaFutures.get_last_update_date()\n        if not all(\n            symbol in last_update_date and last_update_date[symbol] > self.Time.date()\n            for symbol in self.symbols\n        ):\n            self.pending_allocation = None\n            self.pending_month = None\n            self.Liquidate()\n            return\n\n        current_month: Month = (self.Time.year, self.Time.month)\n        if self.recent_month != current_month:\n            self._create_monthly_signal(current_month)\n\n        self._execute_pending_allocation(data)\n\n    def _update_monthly_prices(self, data: Slice) -> None:\n        for symbol in self.symbols:\n            if symbol not in data or not data[symbol]:\n                continue\n\n            # QuantpediaFutures shifts each source observation forward by one\n            # day. Use the original observation month for monthly sampling.\n            observation_time: datetime = data[symbol].Time - timedelta(days=1)\n            observation_month: Month = (observation_time.year, observation_time.month)\n            self.monthly_prices[symbol][observation_month] = float(data[symbol].Value)\n\n    def _create_monthly_signal(self, current_month: Month) -> None:\n        completed_month: Month = self._previous_month(current_month)\n        market_symbol: str = self.symbols[0]\n        oil_symbol: str = self.symbols[1]\n\n        if (completed_month not in self.monthly_prices[market_symbol] or completed_month not in self.monthly_prices[oil_symbol]):\n            return\n\n        completed_common_months: List[Month] = sorted(\n            month for month in set(self.monthly_prices[market_symbol]).intersection(self.monthly_prices[oil_symbol])\n            if month <= completed_month\n        )\n\n        # Thirteen monthly prices provide one year of monthly returns and\n        # eleven lagged oil\/equity observations for the first regression.\n        if len(completed_common_months) < self.min_period:\n            self.recent_month = current_month\n            return\n\n        market_returns: Dict[Month, float] = self._calculate_monthly_returns(\n            self.monthly_prices[market_symbol],\n            completed_month\n        )\n        oil_returns: Dict[Month, float] = self._calculate_monthly_returns(\n            self.monthly_prices[oil_symbol],\n            completed_month\n        )\n\n        regression_oil_returns: List[float] = []\n        regression_market_returns: List[float] = []\n        for market_month in sorted(market_returns):\n            preceding_month: Month = self._previous_month(market_month)\n            if preceding_month in oil_returns:\n                regression_oil_returns.append(oil_returns[preceding_month])\n                regression_market_returns.append(market_returns[market_month])\n\n        if completed_month not in oil_returns or len(regression_oil_returns) < 2:\n            self.recent_month = current_month\n            return\n\n        monthly_risk_free_rate: Optional[float] = self._get_monthly_risk_free_rate()\n        if monthly_risk_free_rate is None:\n            return\n\n        slope, intercept, _, _, _ = stats.linregress(\n            regression_oil_returns,\n            regression_market_returns\n        )\n        expected_market_return: float = intercept + slope * oil_returns[completed_month]\n\n        # The signal uses information through the completed month and targets\n        # the following month. Execution waits for fresh target-asset data.\n        self.pending_allocation = expected_market_return > monthly_risk_free_rate\n        self.pending_month = current_month\n        self.recent_month = current_month\n\n    def _get_monthly_risk_free_rate(self) -> Optional[float]:\n        last_update_date: Dict[str, datetime.date] = InterestRate3M.get_last_update_date()\n        symbol_value: str = self.risk_free_rate.Value\n        security: Security = self.Securities[self.risk_free_rate]\n\n        if (\n            not security.GetLastData()\n            or symbol_value not in last_update_date\n            or last_update_date[symbol_value] <= self.Time.date()\n        ):\n            return None\n\n        # The source is quoted as an annual percentage rate; convert it to a\n        # decimal monthly hurdle before comparing it with a monthly forecast.\n        return float(security.Price) \/ 100 \/ 12\n\n    def _execute_pending_allocation(self, data: Slice) -> None:\n        if self.pending_allocation is None or self.pending_month is None:\n            return\n\n        market_symbol: str = self.symbols[0]\n        target = market_symbol if self.pending_allocation else self.cash\n        if target not in data or not data[target]:\n            return\n\n        target_time: datetime = data[target].Time\n        if self.pending_allocation:\n            target_time -= timedelta(days=1)\n\n        target_month: Month = (target_time.year, target_time.month)\n        if target_month != self.pending_month:\n            return\n\n        if self.pending_allocation:\n            if self.Portfolio[self.cash].Invested:\n                self.Liquidate(self.cash)\n            self.SetHoldings(market_symbol, 1)\n        else:\n            if self.Portfolio[market_symbol].Invested:\n                self.Liquidate(market_symbol)\n            self.SetHoldings(self.cash, 1)\n\n        self.pending_allocation = None\n        self.pending_month = None\n\n    @staticmethod\n    def _calculate_monthly_returns(\n        prices: Dict[Month, float],\n        completed_month: Month\n    ) -> Dict[Month, float]:\n        returns: Dict[Month, float] = {}\n        for month in sorted(month for month in prices if month <= completed_month):\n            previous_month: Month = CrudeOilPredictsEquityReturns._previous_month(month)\n            if previous_month in prices:\n                returns[month] = prices[month] \/ prices[previous_month] - 1\n\n        return returns\n\n    @staticmethod\n    def _previous_month(month: Month) -> Month:\n        year, month_number = month\n        if month_number == 1:\n            return year - 1, 12\n        return year, month_number - 1","modified":null,"name":"main.py","open":false,"isLibrary":false,"projectId":38838466},{"id":null,"content":"from AlgorithmImports import *\r\nfrom dateutil.relativedelta import relativedelta\r\n\r\n# Custom fee model.\r\nclass CustomFeeModel(FeeModel):\r\n    def GetOrderFee(self, parameters):\r\n        fee = parameters.Security.Price * parameters.Order.AbsoluteQuantity * 0.00005\r\n        return OrderFee(CashAmount(fee, \"USD\"))\r\n\r\n# Quandl \"value\" data\r\nclass QuandlValue(PythonQuandl):\r\n    def __init__(self):\r\n        self.ValueColumnName = 'Value'\r\n\r\n# Quantpedia data.\r\n# NOTE: IMPORTANT: Data order must be ascending (datewise)\r\nclass QuantpediaFutures(PythonData):\r\n    _last_update_date:Dict[str, datetime.date] = {}\r\n\r\n    @staticmethod\r\n    def get_last_update_date() -> Dict[str, datetime.date]:\r\n       return QuantpediaFutures._last_update_date\r\n\r\n    def GetSource(self, config, date, isLiveMode):\r\n        return SubscriptionDataSource(\"data.quantpedia.com\/backtesting_data\/futures\/{0}.csv\".format(config.Symbol.Value), SubscriptionTransportMedium.RemoteFile, FileFormat.Csv)\r\n\r\n    def Reader(self, config, line, date, isLiveMode):\r\n        data = QuantpediaFutures()\r\n        data.Symbol = config.Symbol\r\n        \r\n        if not line[0].isdigit(): return None\r\n        split = line.split(';')\r\n        \r\n        data.Time = datetime.strptime(split[0], \"%d.%m.%Y\") + timedelta(days=1)\r\n        data['back_adjusted'] = float(split[1])\r\n        data['spliced'] = float(split[2])\r\n        data.Value = float(split[1])\r\n\r\n        # store last update date\r\n        if config.Symbol.Value not in QuantpediaFutures._last_update_date:\r\n            QuantpediaFutures._last_update_date[config.Symbol.Value] = datetime(1,1,1).date()\r\n\r\n        if data.Time.date() > QuantpediaFutures._last_update_date[config.Symbol.Value]:\r\n            QuantpediaFutures._last_update_date[config.Symbol.Value] = data.Time.date()\r\n\r\n        return data\r\n\r\nclass InterestRate3M(PythonData):\r\n    _last_update_date:Dict[str, datetime.date] = {}\r\n\r\n    @staticmethod\r\n    def get_last_update_date() -> Dict[str, datetime.date]:\r\n       return InterestRate3M._last_update_date\r\n\r\n    def GetSource(self, config:SubscriptionDataConfig, date:datetime, isLiveMode:bool) -> SubscriptionDataSource:\r\n        return SubscriptionDataSource(\"data.quantpedia.com\/backtesting_data\/interbank_rate\/{0}.csv\".format(config.Symbol.Value), SubscriptionTransportMedium.RemoteFile, FileFormat.Csv)\r\n\r\n    def Reader(self, config:SubscriptionDataConfig, line:str, date:datetime, isLiveMode:bool) -> BaseData:\r\n        data = InterestRate3M()\r\n        data.Symbol = config.Symbol\r\n        \r\n        if not line[0].isdigit(): return None\r\n        split = line.split(';')\r\n        \r\n        data.Time = datetime.strptime(split[0], \"%Y-%m-%d\") + relativedelta(months=2)\r\n        if split[1] not in ['', '.']:\r\n            data['value'] = float(split[1])\r\n            data.Value = float(split[1])\r\n        else:\r\n            return None\r\n\r\n        # store last update date\r\n        if config.Symbol.Value not in InterestRate3M._last_update_date:\r\n            InterestRate3M._last_update_date[config.Symbol.Value] = datetime(1,1,1).date()\r\n\r\n        if data.Time.date() > InterestRate3M._last_update_date[config.Symbol.Value]:\r\n            InterestRate3M._last_update_date[config.Symbol.Value] = data.Time.date()\r\n\r\n        return data","modified":null,"name":"data_tools.py","open":false,"isLibrary":false,"projectId":38838466}],"success":true}