统一每日PIT无风险收益指标

This commit is contained in:
boris
2026-09-03 14:04:51 +08:00
parent b15b93eec1
commit a3a077fa87
3 changed files with 284 additions and 44 deletions
+11 -2
View File
@@ -16,7 +16,7 @@ use crate::futures::{
FuturesAccountState, FuturesExecutionReport, FuturesOrderIntent, FuturesPositionEffect,
FuturesTransactionCostModel,
};
use crate::metrics::{BacktestMetrics, compute_backtest_metrics};
use crate::metrics::{BacktestMetrics, RiskFreeRateContract, compute_backtest_metrics};
use crate::portfolio::{CashReceivable, HoldingSummary, PortfolioState};
use crate::risk_control::{FidcRiskDecisionAudit, RiskCheckScope};
use crate::rules::EquityRuleHooks;
@@ -455,6 +455,7 @@ pub struct BacktestEngine<S, C, R> {
execution_quote_loader: Option<ExecutionQuoteLoader>,
execution_quote_request_cache:
BTreeSet<(NaiveDate, String, Option<NaiveTime>, Option<NaiveTime>)>,
risk_free_rate_contract: Option<RiskFreeRateContract>,
}
impl<S, C, R> BacktestEngine<S, C, R> {
@@ -485,9 +486,15 @@ impl<S, C, R> BacktestEngine<S, C, R> {
futures_validation_config: FuturesValidationConfig::default(),
execution_quote_loader: None,
execution_quote_request_cache: BTreeSet::new(),
risk_free_rate_contract: None,
}
}
pub fn with_risk_free_rate_contract(mut self, contract: RiskFreeRateContract) -> Self {
self.risk_free_rate_contract = Some(contract);
self
}
pub fn into_data(self) -> DataSet {
self.data
}
@@ -3374,7 +3381,9 @@ where
&result.daily_holdings,
&result.account_events,
self.aggregate_initial_cash(),
);
self.risk_free_rate_contract.as_ref(),
)
.map_err(BacktestError::Execution)?;
Ok(result)
}
+4 -1
View File
@@ -56,7 +56,10 @@ pub use futures::{
FuturesTradingParameter, FuturesTransactionCostModel,
};
pub use instrument::Instrument;
pub use metrics::{BacktestMetrics, compute_backtest_metrics};
pub use metrics::{
BacktestMetrics, RiskFreeRateContract, RiskFreeRateObservation,
compute_backtest_metrics,
};
pub use platform_expr_strategy::{
PlatformAccountActionKind, PlatformExplicitActionStage, PlatformExplicitCancelKind,
PlatformExplicitOrderKind, PlatformExprStrategy, PlatformExprStrategyConfig,
+269 -41
View File
@@ -9,7 +9,28 @@ use crate::portfolio::HoldingSummary;
const TRADING_DAYS_PER_YEAR: f64 = 252.0;
const MONTHS_PER_YEAR: f64 = 12.0;
const DEFAULT_RISK_FREE_RATE: f64 = 0.022;
#[derive(Debug, Clone, Default, Serialize, Deserialize)]
#[serde(rename_all = "camelCase")]
pub struct RiskFreeRateObservation {
pub date: NaiveDate,
pub source_date: NaiveDate,
pub annual_rate: f64,
pub daily_rate: f64,
}
#[derive(Debug, Clone, Default, Serialize, Deserialize)]
#[serde(rename_all = "camelCase")]
pub struct RiskFreeRateContract {
pub version: String,
pub source: String,
pub tenor: String,
pub periods_per_year: f64,
pub max_staleness_days: usize,
pub observed_max_staleness_days: usize,
pub sha256: String,
pub observations: Vec<RiskFreeRateObservation>,
}
#[derive(Debug, Clone, Default, Serialize, Deserialize)]
pub struct BacktestMetrics {
@@ -55,6 +76,13 @@ pub struct BacktestMetrics {
pub excess_win_rate: f64,
pub monthly_sharpe: f64,
pub monthly_volatility: f64,
pub risk_free_rate_contract_version: String,
pub risk_free_rate_source: String,
pub risk_free_rate_tenor: String,
pub risk_free_rate_observation_count: usize,
pub risk_free_rate_max_staleness_days: usize,
pub risk_free_rate_observed_max_staleness_days: usize,
pub risk_free_rate_sha256: String,
}
pub fn compute_backtest_metrics(
@@ -63,20 +91,19 @@ pub fn compute_backtest_metrics(
daily_holdings: &[HoldingSummary],
account_events: &[AccountEvent],
initial_cash: f64,
) -> BacktestMetrics {
risk_free_contract: Option<&RiskFreeRateContract>,
) -> Result<BacktestMetrics, String> {
let Some(first_point) = equity_curve.first() else {
return BacktestMetrics {
risk_free_rate: DEFAULT_RISK_FREE_RATE,
return Ok(BacktestMetrics {
initial_cash,
..BacktestMetrics::default()
};
});
};
let Some(last_point) = equity_curve.last() else {
return BacktestMetrics {
risk_free_rate: DEFAULT_RISK_FREE_RATE,
return Ok(BacktestMetrics {
initial_cash,
..BacktestMetrics::default()
};
});
};
let trade_days = equity_curve.len();
@@ -122,6 +149,7 @@ pub fn compute_backtest_metrics(
.zip(benchmark_returns.iter())
.map(|(lhs, rhs)| lhs - rhs)
.collect::<Vec<_>>();
let zero_risk_free_rates = vec![0.0; excess_returns.len()];
let benchmark_net_value = if benchmark_start.abs() < f64::EPSILON {
1.0
@@ -140,16 +168,26 @@ pub fn compute_backtest_metrics(
let annual_return = annualize_return(total_return, trade_days);
let excess_annual_return = annualize_return(excess_cumulative_return, trade_days);
let risk_free_rate = DEFAULT_RISK_FREE_RATE;
let daily_rf = risk_free_rate / TRADING_DAYS_PER_YEAR;
let sharpe = annualized_sharpe(&returns, daily_rf, TRADING_DAYS_PER_YEAR);
let sortino = annualized_sortino(&returns, daily_rf, TRADING_DAYS_PER_YEAR);
let information_ratio = annualized_sharpe(&excess_returns, 0.0, TRADING_DAYS_PER_YEAR);
let (daily_risk_free_rates, risk_free_metadata) =
aligned_daily_risk_free_rates(equity_curve, risk_free_contract)?;
let risk_free_rate =
effective_annual_risk_free_rate(&daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
let sharpe = annualized_sharpe(&returns, &daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
let sortino = annualized_sortino(&returns, &daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
let information_ratio = annualized_sharpe(
&excess_returns,
&zero_risk_free_rates,
TRADING_DAYS_PER_YEAR,
);
let tracking_error = annualized_std(&excess_returns, TRADING_DAYS_PER_YEAR);
let volatility = annualized_std(&returns, TRADING_DAYS_PER_YEAR);
let excess_volatility = annualized_std(&excess_returns, TRADING_DAYS_PER_YEAR);
let excess_sharpe = annualized_sharpe(&excess_returns, 0.0, TRADING_DAYS_PER_YEAR);
let (alpha, beta) = alpha_beta(&returns, &benchmark_returns, daily_rf);
let excess_sharpe = annualized_sharpe(
&excess_returns,
&zero_risk_free_rates,
TRADING_DAYS_PER_YEAR,
);
let (alpha, beta) = alpha_beta(&returns, &benchmark_returns, &daily_risk_free_rates);
let equity_nav = portfolio_nav;
let benchmark_nav_series = equity_curve
@@ -178,6 +216,8 @@ pub fn compute_backtest_metrics(
.zip(monthly_benchmark_returns.iter())
.map(|(lhs, rhs)| lhs - rhs)
.collect::<Vec<_>>();
let monthly_risk_free_returns =
group_monthly_risk_free_returns(equity_curve, &daily_risk_free_rates);
let monthly_excess_win_rate = ratio(
monthly_excess_returns
.iter()
@@ -187,7 +227,7 @@ pub fn compute_backtest_metrics(
);
let monthly_sharpe = annualized_sharpe(
&monthly_portfolio_returns,
risk_free_rate / MONTHS_PER_YEAR,
&monthly_risk_free_returns,
MONTHS_PER_YEAR,
);
let monthly_volatility = annualized_std(&monthly_portfolio_returns, MONTHS_PER_YEAR);
@@ -239,7 +279,7 @@ pub fn compute_backtest_metrics(
let total_trade_days = equity_by_date.len();
BacktestMetrics {
Ok(BacktestMetrics {
total_return,
annual_return,
sharpe,
@@ -285,7 +325,14 @@ pub fn compute_backtest_metrics(
excess_win_rate,
monthly_sharpe,
monthly_volatility,
}
risk_free_rate_contract_version: risk_free_metadata.version,
risk_free_rate_source: risk_free_metadata.source,
risk_free_rate_tenor: risk_free_metadata.tenor,
risk_free_rate_observation_count: daily_risk_free_rates.len(),
risk_free_rate_max_staleness_days: risk_free_metadata.max_staleness_days,
risk_free_rate_observed_max_staleness_days: risk_free_metadata.observed_max_staleness_days,
risk_free_rate_sha256: risk_free_metadata.sha256,
})
}
fn point_nav(point: &DailyEquityPoint, initial_cash: f64) -> f64 {
@@ -316,13 +363,106 @@ fn annualize_return(total_return: f64, periods: usize) -> f64 {
base.powf(TRADING_DAYS_PER_YEAR / periods) - 1.0
}
fn annualized_sharpe(returns: &[f64], daily_rf: f64, periods_per_year: f64) -> f64 {
if returns.len() < 2 {
fn aligned_daily_risk_free_rates(
equity_curve: &[DailyEquityPoint],
contract: Option<&RiskFreeRateContract>,
) -> Result<(Vec<f64>, RiskFreeRateContract), String> {
let Some(contract) = contract else {
return Ok((
vec![0.0; equity_curve.len()],
RiskFreeRateContract {
version: "not-configured".to_string(),
source: "not-configured".to_string(),
tenor: "NONE".to_string(),
periods_per_year: TRADING_DAYS_PER_YEAR,
..RiskFreeRateContract::default()
},
));
};
if contract.version.trim().is_empty()
|| contract.source.trim().is_empty()
|| contract.tenor.trim().is_empty()
|| contract.sha256.len() != 64
{
return Err("risk-free rate contract metadata is incomplete".to_string());
}
if contract.observations.len() != equity_curve.len() {
return Err(format!(
"risk-free rate observation count mismatch: expected={} actual={}",
equity_curve.len(),
contract.observations.len()
));
}
let mut rates = Vec::with_capacity(equity_curve.len());
for (point, observation) in equity_curve.iter().zip(&contract.observations) {
if observation.date != point.date {
return Err(format!(
"risk-free rate date mismatch: expected={} actual={}",
point.date, observation.date
));
}
if observation.source_date > observation.date {
return Err(format!(
"risk-free rate uses future observation: date={} source_date={}",
observation.date, observation.source_date
));
}
let staleness = observation
.date
.signed_duration_since(observation.source_date)
.num_days();
if staleness < 0 || staleness as usize > contract.max_staleness_days {
return Err(format!(
"risk-free rate observation is stale: date={} source_date={} days={}",
observation.date, observation.source_date, staleness
));
}
if !observation.annual_rate.is_finite()
|| observation.annual_rate <= -1.0
|| observation.annual_rate >= 1.0
|| !observation.daily_rate.is_finite()
|| observation.daily_rate <= -1.0
{
return Err(format!(
"risk-free rate observation is invalid: date={}",
observation.date
));
}
let periods_per_year =
if contract.periods_per_year.is_finite() && contract.periods_per_year > 0.0 {
contract.periods_per_year
} else {
TRADING_DAYS_PER_YEAR
};
let expected_daily = (1.0 + observation.annual_rate).powf(1.0 / periods_per_year) - 1.0;
if (expected_daily - observation.daily_rate).abs() > 1e-12 {
return Err(format!(
"risk-free daily conversion mismatch: date={} expected={} actual={}",
observation.date, expected_daily, observation.daily_rate
));
}
rates.push(observation.daily_rate);
}
Ok((rates, contract.clone()))
}
fn effective_annual_risk_free_rate(daily_rates: &[f64], periods_per_year: f64) -> f64 {
if daily_rates.is_empty() {
return 0.0;
}
let mean_log =
daily_rates.iter().map(|rate| rate.ln_1p()).sum::<f64>() / daily_rates.len() as f64;
(mean_log * periods_per_year).exp_m1()
}
fn annualized_sharpe(returns: &[f64], daily_risk_free_rates: &[f64], periods_per_year: f64) -> f64 {
if returns.len() < 2 || returns.len() != daily_risk_free_rates.len() {
return 0.0;
}
let adjusted = returns
.iter()
.map(|value| value - daily_rf)
.zip(daily_risk_free_rates)
.map(|(value, risk_free)| value - risk_free)
.collect::<Vec<_>>();
let mean_ret = mean(&adjusted);
let std = std_dev(&adjusted);
@@ -333,23 +473,24 @@ fn annualized_sharpe(returns: &[f64], daily_rf: f64, periods_per_year: f64) -> f
}
}
fn annualized_sortino(returns: &[f64], daily_rf: f64, periods_per_year: f64) -> f64 {
if returns.is_empty() {
fn annualized_sortino(
returns: &[f64],
daily_risk_free_rates: &[f64],
periods_per_year: f64,
) -> f64 {
if returns.is_empty() || returns.len() != daily_risk_free_rates.len() {
return 0.0;
}
let adjusted = returns
.iter()
.map(|value| value - daily_rf)
.zip(daily_risk_free_rates)
.map(|(value, risk_free)| value - risk_free)
.collect::<Vec<_>>();
let downside = adjusted
.iter()
.filter(|value| **value < 0.0)
.map(|value| value.powi(2))
.collect::<Vec<_>>();
if downside.is_empty() {
return 0.0;
}
let downside_dev = (downside.iter().sum::<f64>() / downside.len() as f64).sqrt();
.map(|value| value.min(0.0).powi(2))
.sum::<f64>();
let downside_dev = (downside / adjusted.len() as f64).sqrt();
if downside_dev <= f64::EPSILON {
0.0
} else {
@@ -361,28 +502,39 @@ fn annualized_std(values: &[f64], periods_per_year: f64) -> f64 {
std_dev(values) * periods_per_year.sqrt()
}
fn alpha_beta(returns: &[f64], benchmark_returns: &[f64], daily_rf: f64) -> (f64, f64) {
if returns.len() < 2 || returns.len() != benchmark_returns.len() {
fn alpha_beta(
returns: &[f64],
benchmark_returns: &[f64],
daily_risk_free_rates: &[f64],
) -> (f64, f64) {
if returns.len() < 2
|| returns.len() != benchmark_returns.len()
|| returns.len() != daily_risk_free_rates.len()
{
return (0.0, 0.0);
}
let strategy_excess = returns
.iter()
.map(|value| value - daily_rf)
.zip(daily_risk_free_rates)
.map(|(value, risk_free)| value - risk_free)
.collect::<Vec<_>>();
let benchmark_excess = benchmark_returns
.iter()
.map(|value| value - daily_rf)
.zip(daily_risk_free_rates)
.map(|(value, risk_free)| value - risk_free)
.collect::<Vec<_>>();
let mean_strategy = mean(&strategy_excess);
let mean_benchmark = mean(&benchmark_excess);
let variance_benchmark = variance(&benchmark_excess);
let mean_raw_strategy = mean(returns);
let mean_raw_benchmark = mean(benchmark_returns);
let variance_benchmark = variance(benchmark_returns);
if variance_benchmark <= f64::EPSILON {
return (0.0, 0.0);
}
let covariance = strategy_excess
let covariance = returns
.iter()
.zip(benchmark_excess.iter())
.map(|(lhs, rhs)| (lhs - mean_strategy) * (rhs - mean_benchmark))
.zip(benchmark_returns.iter())
.map(|(lhs, rhs)| (lhs - mean_raw_strategy) * (rhs - mean_raw_benchmark))
.sum::<f64>()
/ (strategy_excess.len() - 1) as f64;
let beta = covariance / variance_benchmark;
@@ -522,6 +674,26 @@ where
.collect()
}
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);
}
}