Advanced Metrics

These metrics cover period-level statistics, stagnation analysis, and efficiency measures that provide additional context for strategy evaluation.

Return & Efficiency Metrics

MetricFormulaUnit
CAGR((End Equity / Initial Capital)^(1/Years) - 1) × 100%
Avg Monthly ReturnCAGR / 12%
AANP (Average Annual Net Profit)Net Profit / Backtest Years$/yr
ARR(AANP / Initial Capital) × 100%
Profit Rank %(Exposure-Adjusted Annual Profit / Perfect Profit) × 100%
Profit Per BarNet Profit / Total Bars$/bar
Efficiency RatioCAGR / Exposure %ratio

Key Metrics Explained

CAGR (Compound Annual Growth Rate)

The annualized growth rate, accounting for compounding. This is the standard way to compare returns across different time periods.

CAGRTier
≥ 30%Excellent
≥ 18%Good
≥ 10%Caution
< 10%Failed

Profit Rank %

A normalized efficiency metric that compares your strategy's actual annual profit (adjusted for exposure time) against a theoretical "perfect" strategy. Values above 50% indicate exceptional efficiency.

Efficiency Ratio

CAGR divided by Exposure %. A strategy earning 20% CAGR with only 30% market exposure has an efficiency ratio of 0.67 — your capital is deployed efficiently.

Stagnation Metrics

MetricFormulaUnit
StagnationMax bars without a new equity highbars
Stagnation %(Stagnation / Total Bars) × 100%
Longest Flat DaysSame as stagnation (daily bars)days

Stagnation measures the longest period without making new highs. Even profitable strategies have flat periods — a stagnation of 30% means the strategy spent nearly a third of its time going nowhere.

Period Statistics

MetricDescription
Best YearMaximum yearly return %
Worst YearMinimum yearly return %
Positive YearsCount of profitable years
Total YearsCount of all years
Best MonthMaximum monthly return %
Worst MonthMinimum monthly return %
Positive MonthsCount of profitable months
Total MonthsCount of all months
Positive Months %(Positive Months / Total Months) × 100
Time Underwater %(Days below equity peak / Total Days) × 100

Key Stats

Positive Months % correlates with the Profitability Score's consistency component. Strategies with 65%+ profitable months demonstrate reliable, steady returns.

Worst Month / Worst Year shows the worst-case calendar period. If you couldn't stomach a single month of that loss, the strategy may be too volatile for you.

Time Underwater % shows what fraction of the backtest was spent in drawdown. Even a strategy with a small max drawdown can have high time underwater if drawdowns happen frequently.

Tip

Stagnation and Time Underwater are often overlooked — a strategy with small drawdowns but 60% time underwater is harder to trade psychologically than the numbers suggest.

Outlier Analysis

These metrics measure how much your strategy's performance depends on a few exceptional trades.

MetricDescriptionUnit
Outlier Dependency ScoreHow much total profitability relies on statistical outlier trades (0-100)score
Outlier Positive CountNumber of winning trades classified as outlierscount
Outlier Positive PnLTotal P&L from positive outlier trades$
Outlier Negative CountNumber of losing trades classified as outlierscount
Outlier Negative PnLTotal P&L from negative outlier trades$
Outlier Net PnLNet P&L from all outlier trades combined$

Outlier Dependency Score is the headline metric. A high score (above 50) means removing outlier trades would significantly reduce or eliminate your profits. This is a warning: your edge may not be repeatable if it depends on rare, large trades.

Compare Outlier Net PnL to total Net Profit — if outlier trades account for most of your profit, your strategy's apparent edge is concentrated in a few trades rather than distributed across many.

Stability Signals

MetricDescriptionUnit
Chrono Stability ScoreMeasures how consistent strategy behavior is across time periodsscore

Chrono Stability Score splits your backtest into time segments and measures whether key metrics (win rate, average trade, drawdown behavior) remain stable across those segments. A low score suggests your strategy performed very differently in different market periods — a sign of possible regime dependency.

Tip

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