Calmar Ratio

Annualized return divided by max drawdown -- a simple measure of return per unit of drawdown risk.

What is the Calmar Ratio?

The Calmar Ratio measures how much return your strategy earns for each unit of drawdown pain it puts you through. Think of it as a reward-to-suffering ratio: how much do you get paid for enduring your strategy's worst dip?

A higher Calmar Ratio means your strategy delivers more return relative to its worst peak-to-trough decline. A lower one means you're taking on large drawdowns for relatively little return.

Both strategies earn the same annualized return (15%), but Strategy B endured a 30% drawdown versus Strategy A's 10%. The Calmar Ratio reflects that difference.

How It's Calculated

The Calmar Ratio divides your strategy's annualized return by the size of its maximum drawdown:

Calmar Ratio

Calmar Ratio = annualized return / |maximum drawdown|

In plain English: take your strategy's yearly return rate and divide it by the deepest percentage drop from a peak that happened during the backtest. The absolute value is used because max drawdown is expressed as a negative number, and the ratio should be positive when returns are positive.

The Calmar Ratio uses annualized return

Because the numerator is annualized (converted to a per-year rate), the Calmar Ratio is comparable across backtests of different lengths. A 6-month backtest and a 3-year backtest can be compared directly. This also means the value will differ from what you'd get by dividing total return by max drawdown -- the annualization step adjusts the return to a yearly basis first.

Worked Examples

Solid return with a moderate drawdown

A strategy with a 15% annualized return and a 10% maximum drawdown:

Calmar Ratio = 15% / 10% = 1.5

For every 1% of drawdown, the strategy earned 1.5% annualized return. This is a favorable ratio.

Same return, deeper drawdown

The same 15% annualized return, but this time with a 30% maximum drawdown:

Calmar Ratio = 15% / 30% = 0.5

The return is the same, but the drawdown was three times worse. The Calmar Ratio dropped from 1.5 to 0.5, reflecting the much rougher ride.

Reading Your Results

These ranges are rough orientation

The Calmar Ratio varies widely depending on the asset, timeframe, and strategy type. Use the ranges below as a general guide, not as strict targets.

Negative

Your strategy lost money overall. The annualized return is negative.

Below 0.5

The drawdown is large relative to return -- the pain may not be worth the reward.

0.5 to 1.0

Moderate. The strategy is profitable, but the worst dip was steep relative to what it earned.

1.0 to 2.0

Solid. Return comfortably exceeds the worst drawdown.

2.0 to 3.0

Strong. The strategy earns well relative to its worst decline.

Above 3.0

Exceptional -- but on a short backtest, this may simply mean the strategy hasn't been tested through enough bad conditions yet.

No value shown

The strategy never experienced a drawdown (the equity curve never dipped from a peak), so the Calmar Ratio cannot be calculated because the denominator is zero.

Things to Watch Out For

One bad period dominates the denominator

The Calmar Ratio uses the single worst drawdown from the entire backtest. If your strategy had one unusually bad stretch but was otherwise stable, the ratio will be pulled down by that one event. It doesn't tell you about the typical drawdown experience -- just the worst case.

Short backtests can be misleading

In a short backtest, the strategy may not have encountered its worst possible drawdown yet. A high Calmar Ratio on a 3-month test may simply mean the strategy hasn't been tested through enough market conditions to reveal its true downside. Monte Carlo simulation can help estimate the range of drawdowns your strategy might face beyond what appeared in a single historical period.

Calmar vs. Sharpe and Sortino

The Sharpe Ratio and Sortino Ratio measure return relative to volatility (the variation in returns). The Calmar Ratio measures return relative to max drawdown (the single worst decline). A strategy can have a good Sharpe Ratio but a poor Calmar Ratio if it had one deep drawdown in an otherwise smooth equity curve.

Max Drawdown -- the denominator of the Calmar Ratio. Measures the largest peak-to-trough decline in your equity curve.

Total and Annualized Return -- the numerator (annualized return) of the Calmar Ratio.

Sharpe Ratio -- measures return per unit of overall volatility rather than per unit of drawdown.

Sortino Ratio -- similar to Sharpe but only penalizes downside volatility.