统一每日PIT无风险收益指标
This commit is contained in:
@@ -16,7 +16,7 @@ use crate::futures::{
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FuturesAccountState, FuturesExecutionReport, FuturesOrderIntent, FuturesPositionEffect,
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FuturesTransactionCostModel,
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};
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use crate::metrics::{BacktestMetrics, compute_backtest_metrics};
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use crate::metrics::{BacktestMetrics, RiskFreeRateContract, compute_backtest_metrics};
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use crate::portfolio::{CashReceivable, HoldingSummary, PortfolioState};
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use crate::risk_control::{FidcRiskDecisionAudit, RiskCheckScope};
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use crate::rules::EquityRuleHooks;
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@@ -455,6 +455,7 @@ pub struct BacktestEngine<S, C, R> {
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execution_quote_loader: Option<ExecutionQuoteLoader>,
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execution_quote_request_cache:
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BTreeSet<(NaiveDate, String, Option<NaiveTime>, Option<NaiveTime>)>,
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risk_free_rate_contract: Option<RiskFreeRateContract>,
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}
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impl<S, C, R> BacktestEngine<S, C, R> {
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@@ -485,9 +486,15 @@ impl<S, C, R> BacktestEngine<S, C, R> {
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futures_validation_config: FuturesValidationConfig::default(),
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execution_quote_loader: None,
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execution_quote_request_cache: BTreeSet::new(),
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risk_free_rate_contract: None,
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}
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}
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pub fn with_risk_free_rate_contract(mut self, contract: RiskFreeRateContract) -> Self {
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self.risk_free_rate_contract = Some(contract);
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self
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}
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pub fn into_data(self) -> DataSet {
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self.data
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}
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@@ -3374,7 +3381,9 @@ where
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&result.daily_holdings,
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&result.account_events,
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self.aggregate_initial_cash(),
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);
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self.risk_free_rate_contract.as_ref(),
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)
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.map_err(BacktestError::Execution)?;
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Ok(result)
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}
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@@ -56,7 +56,10 @@ pub use futures::{
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FuturesTradingParameter, FuturesTransactionCostModel,
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};
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pub use instrument::Instrument;
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pub use metrics::{BacktestMetrics, compute_backtest_metrics};
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pub use metrics::{
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BacktestMetrics, RiskFreeRateContract, RiskFreeRateObservation,
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compute_backtest_metrics,
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};
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pub use platform_expr_strategy::{
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PlatformAccountActionKind, PlatformExplicitActionStage, PlatformExplicitCancelKind,
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PlatformExplicitOrderKind, PlatformExprStrategy, PlatformExprStrategyConfig,
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+269
-41
@@ -9,7 +9,28 @@ use crate::portfolio::HoldingSummary;
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const TRADING_DAYS_PER_YEAR: f64 = 252.0;
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const MONTHS_PER_YEAR: f64 = 12.0;
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const DEFAULT_RISK_FREE_RATE: f64 = 0.022;
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#[derive(Debug, Clone, Default, Serialize, Deserialize)]
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#[serde(rename_all = "camelCase")]
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pub struct RiskFreeRateObservation {
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pub date: NaiveDate,
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pub source_date: NaiveDate,
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pub annual_rate: f64,
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pub daily_rate: f64,
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}
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#[derive(Debug, Clone, Default, Serialize, Deserialize)]
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#[serde(rename_all = "camelCase")]
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pub struct RiskFreeRateContract {
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pub version: String,
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pub source: String,
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pub tenor: String,
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pub periods_per_year: f64,
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pub max_staleness_days: usize,
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pub observed_max_staleness_days: usize,
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pub sha256: String,
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pub observations: Vec<RiskFreeRateObservation>,
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}
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#[derive(Debug, Clone, Default, Serialize, Deserialize)]
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pub struct BacktestMetrics {
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@@ -55,6 +76,13 @@ pub struct BacktestMetrics {
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pub excess_win_rate: f64,
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pub monthly_sharpe: f64,
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pub monthly_volatility: f64,
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pub risk_free_rate_contract_version: String,
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pub risk_free_rate_source: String,
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pub risk_free_rate_tenor: String,
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pub risk_free_rate_observation_count: usize,
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pub risk_free_rate_max_staleness_days: usize,
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pub risk_free_rate_observed_max_staleness_days: usize,
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pub risk_free_rate_sha256: String,
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}
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pub fn compute_backtest_metrics(
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@@ -63,20 +91,19 @@ pub fn compute_backtest_metrics(
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daily_holdings: &[HoldingSummary],
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account_events: &[AccountEvent],
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initial_cash: f64,
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) -> BacktestMetrics {
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risk_free_contract: Option<&RiskFreeRateContract>,
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) -> Result<BacktestMetrics, String> {
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let Some(first_point) = equity_curve.first() else {
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return BacktestMetrics {
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risk_free_rate: DEFAULT_RISK_FREE_RATE,
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return Ok(BacktestMetrics {
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initial_cash,
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..BacktestMetrics::default()
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};
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});
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};
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let Some(last_point) = equity_curve.last() else {
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return BacktestMetrics {
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risk_free_rate: DEFAULT_RISK_FREE_RATE,
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return Ok(BacktestMetrics {
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initial_cash,
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..BacktestMetrics::default()
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};
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});
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};
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let trade_days = equity_curve.len();
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@@ -122,6 +149,7 @@ pub fn compute_backtest_metrics(
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.zip(benchmark_returns.iter())
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.map(|(lhs, rhs)| lhs - rhs)
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.collect::<Vec<_>>();
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let zero_risk_free_rates = vec![0.0; excess_returns.len()];
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let benchmark_net_value = if benchmark_start.abs() < f64::EPSILON {
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1.0
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@@ -140,16 +168,26 @@ pub fn compute_backtest_metrics(
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let annual_return = annualize_return(total_return, trade_days);
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let excess_annual_return = annualize_return(excess_cumulative_return, trade_days);
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let risk_free_rate = DEFAULT_RISK_FREE_RATE;
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let daily_rf = risk_free_rate / TRADING_DAYS_PER_YEAR;
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let sharpe = annualized_sharpe(&returns, daily_rf, TRADING_DAYS_PER_YEAR);
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let sortino = annualized_sortino(&returns, daily_rf, TRADING_DAYS_PER_YEAR);
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let information_ratio = annualized_sharpe(&excess_returns, 0.0, TRADING_DAYS_PER_YEAR);
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let (daily_risk_free_rates, risk_free_metadata) =
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aligned_daily_risk_free_rates(equity_curve, risk_free_contract)?;
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let risk_free_rate =
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effective_annual_risk_free_rate(&daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
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let sharpe = annualized_sharpe(&returns, &daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
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let sortino = annualized_sortino(&returns, &daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
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let information_ratio = annualized_sharpe(
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&excess_returns,
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&zero_risk_free_rates,
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TRADING_DAYS_PER_YEAR,
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);
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let tracking_error = annualized_std(&excess_returns, TRADING_DAYS_PER_YEAR);
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let volatility = annualized_std(&returns, TRADING_DAYS_PER_YEAR);
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let excess_volatility = annualized_std(&excess_returns, TRADING_DAYS_PER_YEAR);
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let excess_sharpe = annualized_sharpe(&excess_returns, 0.0, TRADING_DAYS_PER_YEAR);
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let (alpha, beta) = alpha_beta(&returns, &benchmark_returns, daily_rf);
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let excess_sharpe = annualized_sharpe(
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&excess_returns,
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&zero_risk_free_rates,
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TRADING_DAYS_PER_YEAR,
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);
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let (alpha, beta) = alpha_beta(&returns, &benchmark_returns, &daily_risk_free_rates);
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let equity_nav = portfolio_nav;
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let benchmark_nav_series = equity_curve
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@@ -178,6 +216,8 @@ pub fn compute_backtest_metrics(
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.zip(monthly_benchmark_returns.iter())
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.map(|(lhs, rhs)| lhs - rhs)
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.collect::<Vec<_>>();
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let monthly_risk_free_returns =
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group_monthly_risk_free_returns(equity_curve, &daily_risk_free_rates);
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let monthly_excess_win_rate = ratio(
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monthly_excess_returns
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.iter()
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@@ -187,7 +227,7 @@ pub fn compute_backtest_metrics(
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);
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let monthly_sharpe = annualized_sharpe(
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&monthly_portfolio_returns,
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risk_free_rate / MONTHS_PER_YEAR,
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&monthly_risk_free_returns,
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MONTHS_PER_YEAR,
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);
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let monthly_volatility = annualized_std(&monthly_portfolio_returns, MONTHS_PER_YEAR);
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@@ -239,7 +279,7 @@ pub fn compute_backtest_metrics(
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let total_trade_days = equity_by_date.len();
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BacktestMetrics {
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Ok(BacktestMetrics {
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total_return,
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annual_return,
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sharpe,
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@@ -285,7 +325,14 @@ pub fn compute_backtest_metrics(
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excess_win_rate,
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monthly_sharpe,
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monthly_volatility,
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}
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risk_free_rate_contract_version: risk_free_metadata.version,
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risk_free_rate_source: risk_free_metadata.source,
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risk_free_rate_tenor: risk_free_metadata.tenor,
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risk_free_rate_observation_count: daily_risk_free_rates.len(),
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risk_free_rate_max_staleness_days: risk_free_metadata.max_staleness_days,
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risk_free_rate_observed_max_staleness_days: risk_free_metadata.observed_max_staleness_days,
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risk_free_rate_sha256: risk_free_metadata.sha256,
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})
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}
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fn point_nav(point: &DailyEquityPoint, initial_cash: f64) -> f64 {
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@@ -316,13 +363,106 @@ fn annualize_return(total_return: f64, periods: usize) -> f64 {
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base.powf(TRADING_DAYS_PER_YEAR / periods) - 1.0
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}
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fn annualized_sharpe(returns: &[f64], daily_rf: f64, periods_per_year: f64) -> f64 {
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if returns.len() < 2 {
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fn aligned_daily_risk_free_rates(
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equity_curve: &[DailyEquityPoint],
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contract: Option<&RiskFreeRateContract>,
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) -> Result<(Vec<f64>, RiskFreeRateContract), String> {
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let Some(contract) = contract else {
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return Ok((
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vec![0.0; equity_curve.len()],
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RiskFreeRateContract {
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version: "not-configured".to_string(),
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source: "not-configured".to_string(),
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tenor: "NONE".to_string(),
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periods_per_year: TRADING_DAYS_PER_YEAR,
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..RiskFreeRateContract::default()
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},
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));
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};
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if contract.version.trim().is_empty()
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|| contract.source.trim().is_empty()
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|| contract.tenor.trim().is_empty()
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|| contract.sha256.len() != 64
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{
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return Err("risk-free rate contract metadata is incomplete".to_string());
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}
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if contract.observations.len() != equity_curve.len() {
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return Err(format!(
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"risk-free rate observation count mismatch: expected={} actual={}",
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equity_curve.len(),
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contract.observations.len()
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));
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}
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let mut rates = Vec::with_capacity(equity_curve.len());
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for (point, observation) in equity_curve.iter().zip(&contract.observations) {
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if observation.date != point.date {
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return Err(format!(
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"risk-free rate date mismatch: expected={} actual={}",
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point.date, observation.date
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));
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}
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if observation.source_date > observation.date {
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return Err(format!(
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"risk-free rate uses future observation: date={} source_date={}",
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observation.date, observation.source_date
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));
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}
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let staleness = observation
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.date
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.signed_duration_since(observation.source_date)
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.num_days();
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if staleness < 0 || staleness as usize > contract.max_staleness_days {
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return Err(format!(
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"risk-free rate observation is stale: date={} source_date={} days={}",
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observation.date, observation.source_date, staleness
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));
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}
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if !observation.annual_rate.is_finite()
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|| observation.annual_rate <= -1.0
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|| observation.annual_rate >= 1.0
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|| !observation.daily_rate.is_finite()
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|| observation.daily_rate <= -1.0
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{
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return Err(format!(
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"risk-free rate observation is invalid: date={}",
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observation.date
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));
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}
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let periods_per_year =
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if contract.periods_per_year.is_finite() && contract.periods_per_year > 0.0 {
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contract.periods_per_year
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} else {
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TRADING_DAYS_PER_YEAR
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};
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let expected_daily = (1.0 + observation.annual_rate).powf(1.0 / periods_per_year) - 1.0;
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if (expected_daily - observation.daily_rate).abs() > 1e-12 {
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return Err(format!(
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"risk-free daily conversion mismatch: date={} expected={} actual={}",
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observation.date, expected_daily, observation.daily_rate
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));
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}
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rates.push(observation.daily_rate);
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}
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Ok((rates, contract.clone()))
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}
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fn effective_annual_risk_free_rate(daily_rates: &[f64], periods_per_year: f64) -> f64 {
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if daily_rates.is_empty() {
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return 0.0;
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}
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let mean_log =
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daily_rates.iter().map(|rate| rate.ln_1p()).sum::<f64>() / daily_rates.len() as f64;
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(mean_log * periods_per_year).exp_m1()
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}
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fn annualized_sharpe(returns: &[f64], daily_risk_free_rates: &[f64], periods_per_year: f64) -> f64 {
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if returns.len() < 2 || returns.len() != daily_risk_free_rates.len() {
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return 0.0;
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}
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let adjusted = returns
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.iter()
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.map(|value| value - daily_rf)
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.zip(daily_risk_free_rates)
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.map(|(value, risk_free)| value - risk_free)
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.collect::<Vec<_>>();
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let mean_ret = mean(&adjusted);
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let std = std_dev(&adjusted);
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@@ -333,23 +473,24 @@ fn annualized_sharpe(returns: &[f64], daily_rf: f64, periods_per_year: f64) -> f
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}
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}
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fn annualized_sortino(returns: &[f64], daily_rf: f64, periods_per_year: f64) -> f64 {
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if returns.is_empty() {
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fn annualized_sortino(
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returns: &[f64],
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daily_risk_free_rates: &[f64],
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periods_per_year: f64,
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) -> f64 {
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if returns.is_empty() || returns.len() != daily_risk_free_rates.len() {
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return 0.0;
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}
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let adjusted = returns
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.iter()
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.map(|value| value - daily_rf)
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.zip(daily_risk_free_rates)
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.map(|(value, risk_free)| value - risk_free)
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.collect::<Vec<_>>();
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let downside = adjusted
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.iter()
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.filter(|value| **value < 0.0)
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.map(|value| value.powi(2))
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.collect::<Vec<_>>();
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if downside.is_empty() {
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return 0.0;
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}
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let downside_dev = (downside.iter().sum::<f64>() / downside.len() as f64).sqrt();
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.map(|value| value.min(0.0).powi(2))
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.sum::<f64>();
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let downside_dev = (downside / adjusted.len() as f64).sqrt();
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if downside_dev <= f64::EPSILON {
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0.0
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} else {
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@@ -361,28 +502,39 @@ fn annualized_std(values: &[f64], periods_per_year: f64) -> f64 {
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std_dev(values) * periods_per_year.sqrt()
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}
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fn alpha_beta(returns: &[f64], benchmark_returns: &[f64], daily_rf: f64) -> (f64, f64) {
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if returns.len() < 2 || returns.len() != benchmark_returns.len() {
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fn alpha_beta(
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returns: &[f64],
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benchmark_returns: &[f64],
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daily_risk_free_rates: &[f64],
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) -> (f64, f64) {
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if returns.len() < 2
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|| returns.len() != benchmark_returns.len()
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|| returns.len() != daily_risk_free_rates.len()
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{
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return (0.0, 0.0);
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}
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let strategy_excess = returns
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.iter()
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.map(|value| value - daily_rf)
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.zip(daily_risk_free_rates)
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.map(|(value, risk_free)| value - risk_free)
|
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.collect::<Vec<_>>();
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let benchmark_excess = benchmark_returns
|
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.iter()
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.map(|value| value - daily_rf)
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.zip(daily_risk_free_rates)
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.map(|(value, risk_free)| value - risk_free)
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.collect::<Vec<_>>();
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let mean_strategy = mean(&strategy_excess);
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let mean_benchmark = mean(&benchmark_excess);
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let variance_benchmark = variance(&benchmark_excess);
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let mean_raw_strategy = mean(returns);
|
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let mean_raw_benchmark = mean(benchmark_returns);
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let variance_benchmark = variance(benchmark_returns);
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if variance_benchmark <= f64::EPSILON {
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return (0.0, 0.0);
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}
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let covariance = strategy_excess
|
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let covariance = returns
|
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.iter()
|
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.zip(benchmark_excess.iter())
|
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.map(|(lhs, rhs)| (lhs - mean_strategy) * (rhs - mean_benchmark))
|
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.zip(benchmark_returns.iter())
|
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.map(|(lhs, rhs)| (lhs - mean_raw_strategy) * (rhs - mean_raw_benchmark))
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.sum::<f64>()
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/ (strategy_excess.len() - 1) as f64;
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let beta = covariance / variance_benchmark;
|
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@@ -522,6 +674,26 @@ where
|
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.collect()
|
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}
|
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|
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fn group_monthly_risk_free_returns(
|
||||
equity_curve: &[DailyEquityPoint],
|
||||
daily_risk_free_rates: &[f64],
|
||||
) -> Vec<f64> {
|
||||
if equity_curve.len() != daily_risk_free_rates.len() {
|
||||
return Vec::new();
|
||||
}
|
||||
let mut monthly_growth = BTreeMap::<(i32, u32), f64>::new();
|
||||
for (point, daily_rate) in equity_curve.iter().zip(daily_risk_free_rates) {
|
||||
let growth = monthly_growth
|
||||
.entry((point.date.year(), point.date.month()))
|
||||
.or_insert(1.0);
|
||||
*growth *= 1.0 + daily_rate;
|
||||
}
|
||||
monthly_growth
|
||||
.into_values()
|
||||
.map(|growth| growth - 1.0)
|
||||
.collect()
|
||||
}
|
||||
|
||||
fn mean(values: &[f64]) -> f64 {
|
||||
if values.is_empty() {
|
||||
0.0
|
||||
@@ -606,7 +778,7 @@ mod tests {
|
||||
equity_point("2025-01-02", 100.0, 5797.089, 5957.717),
|
||||
equity_point("2025-12-31", 120.0, 7595.285, 7597.299),
|
||||
];
|
||||
let metrics = compute_backtest_metrics(&curve, &[], &[], &[], 100.0);
|
||||
let metrics = compute_backtest_metrics(&curve, &[], &[], &[], 100.0, None).unwrap();
|
||||
let expected = 7595.285 / 5957.717 - 1.0;
|
||||
assert!((metrics.benchmark_cumulative_return - expected).abs() < 1e-12);
|
||||
}
|
||||
@@ -635,9 +807,65 @@ mod tests {
|
||||
total_equity: 200.0,
|
||||
note: "deposit_withdraw amount=100.00 reason=test".to_string(),
|
||||
}];
|
||||
let metrics = compute_backtest_metrics(&curve, &[], &[], &events, 100.0);
|
||||
let metrics = compute_backtest_metrics(&curve, &[], &[], &events, 100.0, None).unwrap();
|
||||
assert!((metrics.total_return - 0.1).abs() < 1e-12);
|
||||
assert!((metrics.unit_nav - 1.1).abs() < 1e-12);
|
||||
assert!((metrics.external_cash_flow_total - 100.0).abs() < 1e-12);
|
||||
}
|
||||
|
||||
#[test]
|
||||
fn risk_adjusted_metrics_use_daily_pit_rates_and_all_period_downside() {
|
||||
let curve = vec![
|
||||
equity_point("2026-01-02", 101.0, 100.0, 100.0),
|
||||
equity_point("2026-01-05", 98.98, 100.0, 100.0),
|
||||
equity_point("2026-01-06", 100.4647, 100.0, 100.0),
|
||||
equity_point("2026-01-07", 99.9623765, 100.0, 100.0),
|
||||
];
|
||||
let annual_rates = [0.012, 0.012, 0.013, 0.013];
|
||||
let observations = curve
|
||||
.iter()
|
||||
.zip(annual_rates)
|
||||
.map(|(point, annual_rate)| RiskFreeRateObservation {
|
||||
date: point.date,
|
||||
source_date: point.date,
|
||||
annual_rate,
|
||||
daily_rate: (1.0 + annual_rate).powf(1.0 / TRADING_DAYS_PER_YEAR) - 1.0,
|
||||
})
|
||||
.collect();
|
||||
let contract = RiskFreeRateContract {
|
||||
version: "cn-government-bond-3m-pit-daily/v1".to_string(),
|
||||
source: "test".to_string(),
|
||||
tenor: "3M".to_string(),
|
||||
periods_per_year: TRADING_DAYS_PER_YEAR,
|
||||
max_staleness_days: 15,
|
||||
observed_max_staleness_days: 0,
|
||||
sha256: "a".repeat(64),
|
||||
observations,
|
||||
};
|
||||
let metrics =
|
||||
compute_backtest_metrics(&curve, &[], &[], &[], 100.0, Some(&contract)).unwrap();
|
||||
|
||||
let returns = [0.01, -0.02, 0.015, -0.005];
|
||||
let daily_rates = annual_rates
|
||||
.map(|annual_rate| (1.0 + annual_rate).powf(1.0 / TRADING_DAYS_PER_YEAR) - 1.0);
|
||||
let adjusted = returns
|
||||
.iter()
|
||||
.zip(daily_rates)
|
||||
.map(|(value, risk_free)| value - risk_free)
|
||||
.collect::<Vec<_>>();
|
||||
let expected_sharpe = mean(&adjusted) / std_dev(&adjusted) * TRADING_DAYS_PER_YEAR.sqrt();
|
||||
let downside = (adjusted
|
||||
.iter()
|
||||
.map(|value| value.min(0.0).powi(2))
|
||||
.sum::<f64>()
|
||||
/ adjusted.len() as f64)
|
||||
.sqrt();
|
||||
let expected_sortino = mean(&adjusted) / downside * TRADING_DAYS_PER_YEAR.sqrt();
|
||||
assert!((metrics.sharpe - expected_sharpe).abs() < 1e-12);
|
||||
assert!((metrics.sortino - expected_sortino).abs() < 1e-12);
|
||||
assert_eq!(metrics.risk_free_rate_source, "test");
|
||||
assert_eq!(metrics.risk_free_rate_tenor, "3M");
|
||||
assert_eq!(metrics.risk_free_rate_observation_count, 4);
|
||||
assert_ne!(metrics.risk_free_rate, 0.022);
|
||||
}
|
||||
}
|
||||
|
||||
Reference in New Issue
Block a user