What is the Calmar Ratio? Definition, Formula, and Example
The Calmar ratio divides a strategy's compound annual return by its maximum drawdown, usually over a trailing 36 months, which measures how much return the strategy earned per unit of worst-case loss.
What the Calmar Ratio Means
The Calmar ratio is a risk-adjusted return measure that scores a strategy or fund on return per unit of its worst peak-to-trough loss. Terry W. Young introduced it in 1991 and named it after his newsletter, California Managed Accounts Reports. The Sharpe ratio penalizes all volatility. The Calmar ratio penalizes only the deepest drawdown, which is the loss that forces traders to quit strategies and clients to redeem from funds. A Calmar of 1.0 means the strategy earned one year's return equal to its worst drawdown.
Calmar Ratio Formula
Calmar Ratio = CAGR / |Maximum Drawdown|
Where:
- CAGR = (Ending Value / Beginning Value)^(1 / Years) − 1
- Maximum Drawdown = the largest percentage decline from any equity peak to a later trough within the same window
The standard window is the trailing 36 months, recomputed monthly. The MAR ratio uses the same formula over the strategy's full history, which makes it more punishing for long track records that include one bad crash.
General benchmarks used in managed futures and hedge fund due diligence:
| Calmar | Read |
|---|---|
| Below 0.5 | Weak return relative to drawdown pain |
| 0.5 to 1.0 | Acceptable |
| 1.0 to 3.0 | Strong |
| Above 3.0 | Rare over a full cycle; check sample length |
Worked Example: The S&P 500, 2022 to 2024
Using SPY as an S&P 500 proxy, take calendar-year total returns of −18.1% (2022), +26.3% (2023), and +25.0% (2024).
1. Growth of $1: 0.819 × 1.263 × 1.250 = 1.293
2. CAGR: 1.293^(1/3) − 1 = 8.9%
3. Maximum drawdown in the window: the index fell from 4,796.56 on January 3, 2022 to 3,577.03 on October 12, 2022, a 25.4% decline on a closing basis.
4. Calmar = 8.9 / 25.4 = 0.35
Buying and holding the index over that 36-month stretch produced a Calmar below 0.5. Investors earned less than a third of their worst drawdown per year. A trend-following overlay that cut the drawdown to 12% while keeping a 7% CAGR would score 0.58, a better risk profile despite the lower return.
When Traders Use the Calmar Ratio
- Strategy comparison. Two systems with the same CAGR are not equal if one draws down 15% and the other 40%. Calmar ranks them on the risk that matters for survival.
- Position sizing and leverage. Calmar is roughly unchanged by leverage, since doubling leverage roughly doubles both CAGR and drawdown. A strategy with a high Calmar is a better candidate for scaling.
- Fund and CTA due diligence. Allocators screen managed futures and macro funds on trailing 36-month Calmar.
- Personal account review. Computing Calmar on your own equity curve shows whether your returns justify the drawdowns you sat through.
Log trades and track your own equity curve, CAGR, and drawdown in the trade journal.
Limitations and Common Misconceptions
- One data point drives it. The denominator is a single worst event. A strategy with one 20% drawdown and a strategy with five separate 19% drawdowns score nearly the same.
- Window sensitivity. A 36-month window that excludes a crash produces an inflated Calmar. Always check what market regimes the window covers.
- Short track records flatter it. A six-month backtest with no meaningful drawdown produces a huge, meaningless ratio.
- Ignores recovery time. Calmar measures how deep a drawdown went, not how long it lasted. Pair it with the Ulcer Index for duration.
- Sampling frequency matters. Drawdowns measured on monthly returns are shallower than drawdowns measured on daily closes. Compare only ratios built the same way.