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Author SHA1 Message Date
boris 7485d4ceb9 修复回测未定义风险比率被补成零 2026-09-27 18:44:39 +08:00
2 changed files with 110 additions and 69 deletions
+7 -7
View File
@@ -278,13 +278,13 @@ pub struct AnalyzerRiskSummary {
pub annual_return: f64,
pub benchmark_cumulative_return: f64,
pub excess_cumulative_return: f64,
pub alpha: f64,
pub beta: f64,
pub sharpe: f64,
pub sortino: f64,
pub information_ratio: f64,
pub tracking_error: f64,
pub volatility: f64,
pub alpha: Option<f64>,
pub beta: Option<f64>,
pub sharpe: Option<f64>,
pub sortino: Option<f64>,
pub information_ratio: Option<f64>,
pub tracking_error: Option<f64>,
pub volatility: Option<f64>,
pub max_drawdown: f64,
pub max_drawdown_duration_days: usize,
pub win_rate: f64,
+103 -62
View File
@@ -9,6 +9,7 @@ use crate::portfolio::HoldingSummary;
const TRADING_DAYS_PER_YEAR: f64 = 252.0;
const MONTHS_PER_YEAR: f64 = 12.0;
pub const RISK_STATISTICS_VERSION: &str = "fidc-risk-statistics/v2";
/// Shared by historical backtests and observed paper/live account returns.
/// Undefined ratios remain None; callers must not invent a risk-free rate.
@@ -55,9 +56,6 @@ mod risk_adjusted_contract_tests {
let downside = (values.iter().map(|r|r.min(0.0).powi(2)).sum::<f64>()/3.0).sqrt();
assert!((stats.sharpe.unwrap()-average/deviation*252.0_f64.sqrt()).abs()<1e-12);
assert!((stats.sortino.unwrap()-average/downside*252.0_f64.sqrt()).abs()<1e-12);
assert_eq!(stats.sharpe.unwrap(),annualized_sharpe(&returns,&rates,252.0));
assert_eq!(stats.sortino.unwrap(),annualized_sortino(&returns,&rates,252.0));
assert_eq!(stats.downside_volatility.unwrap(),annualized_downside_risk(&returns,&rates,252.0));
assert_ne!(stats.sharpe, risk_adjusted_statistics(&returns,&[0.0;3],252.0).unwrap().sharpe);
}
@@ -105,13 +103,15 @@ pub struct RiskFreeRateContract {
#[derive(Debug, Clone, Default, Serialize, Deserialize)]
pub struct BacktestMetrics {
#[serde(default)]
pub risk_statistics_version: String,
pub total_return: f64,
pub annual_return: f64,
pub sharpe: f64,
pub sharpe: Option<f64>,
pub max_drawdown: f64,
pub win_rate: f64,
pub alpha: f64,
pub beta: f64,
pub alpha: Option<f64>,
pub beta: Option<f64>,
pub benchmark_cumulative_return: f64,
pub benchmark_net_value: f64,
pub risk_free_rate: f64,
@@ -120,14 +120,14 @@ pub struct BacktestMetrics {
pub excess_annual_return: f64,
pub max_drawdown_duration_days: usize,
pub total_trade_days: usize,
pub sortino: f64,
pub downside_risk: f64,
pub information_ratio: f64,
pub tracking_error: f64,
pub volatility: f64,
pub sortino: Option<f64>,
pub downside_risk: Option<f64>,
pub information_ratio: Option<f64>,
pub tracking_error: Option<f64>,
pub volatility: Option<f64>,
pub excess_return: f64,
pub excess_sharpe: f64,
pub excess_volatility: f64,
pub excess_sharpe: Option<f64>,
pub excess_volatility: Option<f64>,
pub excess_max_drawdown: f64,
pub holding_count: usize,
pub average_weight: f64,
@@ -146,8 +146,8 @@ pub struct BacktestMetrics {
#[serde(default)]
pub external_cash_flow_total: f64,
pub excess_win_rate: f64,
pub monthly_sharpe: f64,
pub monthly_volatility: f64,
pub monthly_sharpe: Option<f64>,
pub monthly_volatility: Option<f64>,
pub risk_free_rate_contract_version: String,
pub risk_free_rate_source: String,
pub risk_free_rate_tenor: String,
@@ -176,12 +176,14 @@ pub fn compute_backtest_metrics_with_manual(
) -> Result<BacktestMetrics, String> {
let Some(first_point) = equity_curve.first() else {
return Ok(BacktestMetrics {
risk_statistics_version: RISK_STATISTICS_VERSION.into(),
initial_cash,
..BacktestMetrics::default()
});
};
let Some(last_point) = equity_curve.last() else {
return Ok(BacktestMetrics {
risk_statistics_version: RISK_STATISTICS_VERSION.into(),
initial_cash,
..BacktestMetrics::default()
});
@@ -204,6 +206,10 @@ pub fn compute_backtest_metrics_with_manual(
flow_neutral_nav_series(equity_curve, account_events, initial_cash)
};
let mut returns = Vec::with_capacity(portfolio_nav.len());
// A zero terminal NAV is a real -100% return. A later return starting
// from zero has no denominator and must not become another zero return.
let risk_periods_valid = portfolio_nav.iter().all(|nav|nav.is_finite() && *nav >= 0.0)
&& portfolio_nav.windows(2).all(|pair| pair[0] > 0.0);
if let Some(first_nav) = portfolio_nav.first().copied() {
returns.push(pct_change(1.0, first_nav));
}
@@ -247,24 +253,23 @@ pub fn compute_backtest_metrics_with_manual(
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 downside_risk =
annualized_downside_risk(&returns, &daily_risk_free_rates, TRADING_DAYS_PER_YEAR);
let information_ratio = annualized_sharpe(
let risk_stats = if risk_periods_valid {
risk_adjusted_statistics(&returns, &daily_risk_free_rates, TRADING_DAYS_PER_YEAR)?
} else { RiskAdjustedStatistics::default() };
let sharpe = risk_stats.sharpe;
let sortino = risk_stats.sortino;
let downside_risk = risk_stats.downside_volatility;
let excess_stats = if risk_periods_valid { risk_adjusted_statistics(
&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,
&zero_risk_free_rates,
TRADING_DAYS_PER_YEAR,
);
let (alpha, beta) = alpha_beta(&returns, &benchmark_returns, &daily_risk_free_rates);
)? } else { RiskAdjustedStatistics::default() };
let information_ratio = excess_stats.sharpe;
let tracking_error = risk_periods_valid.then(||annualized_std(&excess_returns, TRADING_DAYS_PER_YEAR)).flatten();
let volatility = risk_periods_valid.then(||annualized_std(&returns, TRADING_DAYS_PER_YEAR)).flatten();
let excess_volatility = tracking_error;
let excess_sharpe = excess_stats.sharpe;
let (alpha, beta) = if risk_periods_valid { alpha_beta(&returns, &benchmark_returns, &daily_risk_free_rates) } else { (None,None) };
let equity_nav = portfolio_nav;
let benchmark_nav_series = equity_curve
@@ -302,12 +307,12 @@ pub fn compute_backtest_metrics_with_manual(
.count(),
monthly_excess_returns.len(),
);
let monthly_sharpe = annualized_sharpe(
let monthly_sharpe = if risk_periods_valid { risk_adjusted_statistics(
&monthly_portfolio_returns,
&monthly_risk_free_returns,
MONTHS_PER_YEAR,
);
let monthly_volatility = annualized_std(&monthly_portfolio_returns, MONTHS_PER_YEAR);
)?.sharpe } else { None };
let monthly_volatility = risk_periods_valid.then(||annualized_std(&monthly_portfolio_returns, MONTHS_PER_YEAR)).flatten();
let mut turnover_by_date = fills
.iter()
@@ -365,6 +370,7 @@ pub fn compute_backtest_metrics_with_manual(
let total_trade_days = equity_by_date.len();
Ok(BacktestMetrics {
risk_statistics_version: RISK_STATISTICS_VERSION.into(),
total_return,
annual_return,
sharpe,
@@ -541,40 +547,21 @@ fn effective_annual_risk_free_rate(daily_rates: &[f64], periods_per_year: f64) -
(mean_log * periods_per_year).exp_m1()
}
fn annualized_sharpe(returns: &[f64], daily_risk_free_rates: &[f64], periods_per_year: f64) -> f64 {
risk_adjusted_statistics(returns,daily_risk_free_rates,periods_per_year).ok().and_then(|stats|stats.sharpe).unwrap_or(0.0)
}
fn annualized_sortino(
returns: &[f64],
daily_risk_free_rates: &[f64],
periods_per_year: f64,
) -> f64 {
risk_adjusted_statistics(returns,daily_risk_free_rates,periods_per_year).ok().and_then(|stats|stats.sortino).unwrap_or(0.0)
}
fn annualized_downside_risk(
returns: &[f64],
daily_risk_free_rates: &[f64],
periods_per_year: f64,
) -> f64 {
risk_adjusted_statistics(returns,daily_risk_free_rates,periods_per_year).ok().and_then(|stats|stats.downside_volatility).unwrap_or(0.0)
}
fn annualized_std(values: &[f64], periods_per_year: f64) -> f64 {
std_dev(values) * periods_per_year.sqrt()
fn annualized_std(values: &[f64], periods_per_year: f64) -> Option<f64> {
(values.len() > 1).then(|| std_dev(values) * periods_per_year.sqrt())
.filter(|value| value.is_finite())
}
fn alpha_beta(
returns: &[f64],
benchmark_returns: &[f64],
daily_risk_free_rates: &[f64],
) -> (f64, f64) {
) -> (Option<f64>, Option<f64>) {
if returns.len() < 2
|| returns.len() != benchmark_returns.len()
|| returns.len() != daily_risk_free_rates.len()
{
return (0.0, 0.0);
return (None, None);
}
let strategy_excess = returns
.iter()
@@ -592,7 +579,7 @@ fn alpha_beta(
let mean_raw_benchmark = mean(benchmark_returns);
let variance_benchmark = variance(benchmark_returns);
if variance_benchmark <= f64::EPSILON {
return (0.0, 0.0);
return (None, None);
}
let covariance = returns
.iter()
@@ -602,7 +589,7 @@ fn alpha_beta(
/ (strategy_excess.len() - 1) as f64;
let beta = covariance / variance_benchmark;
let alpha = (mean_strategy - beta * mean_benchmark) * TRADING_DAYS_PER_YEAR;
(alpha, beta)
(Some(alpha).filter(|value| value.is_finite()), Some(beta).filter(|value| value.is_finite()))
}
fn drawdown_stats(nav: &[f64]) -> (f64, usize) {
@@ -959,12 +946,66 @@ mod tests {
/ 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!((metrics.downside_risk - downside * TRADING_DAYS_PER_YEAR.sqrt()).abs() < 1e-12);
assert!((metrics.sharpe.unwrap() - expected_sharpe).abs() < 1e-12);
assert!((metrics.sortino.unwrap() - expected_sortino).abs() < 1e-12);
assert!((metrics.downside_risk.unwrap() - downside * TRADING_DAYS_PER_YEAR.sqrt()).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);
}
#[test]
fn undefined_ratios_remain_null_in_backtest_metrics() {
for curve in [vec![], vec![equity_point("2026-01-02", 100.0, 100.0, 100.0)],
vec![equity_point("2026-01-02", 100.0, 100.0, 100.0),
equity_point("2026-01-05", 100.0, 100.0, 100.0)]] {
let metrics = compute_backtest_metrics(&curve, &[], &[], &[], 100.0, None).unwrap();
let json = serde_json::to_value(&metrics).unwrap();
assert_eq!(json["risk_statistics_version"], RISK_STATISTICS_VERSION);
for field in ["sharpe", "sortino", "alpha", "beta", "information_ratio", "excess_sharpe", "monthly_sharpe"] {
assert!(json[field].is_null(), "{field}: {json}");
}
if curve.len() < 2 { assert_eq!(metrics.volatility, None); }
else { assert_eq!(metrics.volatility, Some(0.0)); }
assert_eq!(metrics.downside_risk, (!curve.is_empty()).then_some(0.0));
}
}
#[test]
fn a_defined_zero_ratio_is_not_missing() {
let stats = risk_adjusted_statistics(&[0.01,-0.01], &[0.0,0.0], 252.0).unwrap();
assert_eq!(stats.sharpe, Some(0.0));
assert_eq!(stats.sortino, Some(0.0));
let (alpha, beta) = alpha_beta(&[0.0,0.0], &[0.01,-0.01], &[0.0,0.0]);
assert_eq!((alpha,beta), (Some(0.0),Some(0.0)));
}
#[test]
fn gains_without_downside_have_no_sortino_or_monthly_sharpe() {
let curve = vec![equity_point("2026-01-02", 101.0, 101.0, 100.0),
equity_point("2026-01-05", 103.02, 103.02, 101.0)];
let metrics = compute_backtest_metrics(&curve,&[],&[],&[],100.0,None).unwrap();
assert!(metrics.sharpe.unwrap() > 0.0);
assert_eq!(metrics.sortino,None);
assert_eq!(metrics.downside_risk,Some(0.0));
assert_eq!(metrics.information_ratio,None);
assert_eq!(metrics.excess_sharpe,None);
assert_eq!(metrics.tracking_error,Some(0.0));
assert_eq!(metrics.monthly_sharpe,None);
assert_eq!(metrics.monthly_volatility,None);
}
#[test]
fn no_risk_ratio_is_fabricated_after_nav_has_reached_zero() {
let curve = vec![equity_point("2026-01-02", 0.0, 101.0, 100.0),
equity_point("2026-01-05", 0.0, 102.0, 101.0)];
let metrics=compute_backtest_metrics(&curve,&[],&[],&[],100.0,None).unwrap();
assert_eq!(metrics.total_return,-1.0);
for value in [metrics.sharpe,metrics.sortino,metrics.alpha,metrics.beta,metrics.information_ratio,metrics.volatility,metrics.monthly_sharpe] {
assert_eq!(value,None);
}
let loss=compute_backtest_metrics(&curve[..1],&[],&[],&[],100.0,None).unwrap();
assert!(loss.sortino.unwrap()<0.0);
}
}