Sortino Ratio Calculator
Calculate the Sortino ratio using downside deviation instead of total volatility. Compare Sortino vs Sharpe, compute Calmar ratio, Omega ratio, and analyze return distribution skewness.
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Sortino Ratio
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Excess Return over MAR —
Sortino Interpretation —
Extended More scenarios, charts & detailed breakdown ▾
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Sortino Ratio
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Sharpe Ratio (same data) —
Sortino vs Sharpe —
Professional Full parameters & maximum detail ▾
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Risk-Adjusted Ratios
Sortino Ratio —
Sharpe Ratio —
Calmar Ratio (Return / Max Drawdown) —
Additional Metrics
Omega Ratio (approx.) —
Gain/Loss Ratio —
Distribution Analysis
Skewness Note —
How to Use This Calculator
- Enter your Portfolio Annual Return.
- Enter the MAR — your minimum acceptable return. Use the risk-free rate (4.5%) or a custom target like 7%.
- Enter the Downside Deviation — only the standard deviation of returns below MAR.
- Compare the Sortino vs Sharpe in the Compare to Sharpe tab.
- Switch to Professional for Calmar ratio, Omega ratio, and skewness analysis.
Formula
Sortino Ratio = (Rp − MAR) / Downside Deviation
Downside Dev = √[ (1/n) × Σ min(Ri − MAR, 0)² ]
Calmar Ratio = Annual Return / Max Drawdown
Example
Example: Portfolio return 12%, MAR 4.5%, Downside Dev 8%. Sortino = (12 − 4.5) / 8 = 0.9375. With total Std Dev 15%, Sharpe = 0.50. Sortino (0.94) > Sharpe (0.50) indicates positive skew — upside volatility is much higher than downside, so Sharpe was overly punitive.
Frequently Asked Questions
- The Sortino ratio is a modification of the Sharpe ratio that only penalizes downside volatility (returns below the minimum acceptable return), not upside volatility. Sortino = (Portfolio Return − MAR) / Downside Deviation. A higher Sortino is better.
- Investors generally welcome upside volatility (unexpectedly high returns). Sharpe penalizes both up and down volatility equally. Sortino only penalizes returns below the target, making it more appropriate for portfolios with positive skew or asymmetric return profiles.
- Downside deviation is the standard deviation calculated using only periods where returns fell below the MAR (minimum acceptable return). If your MAR is 4.5%, only months with returns below 4.5% contribute to downside deviation.
- Calmar Ratio = Annualized Return / Maximum Drawdown. It measures reward relative to the worst historical decline. A Calmar above 0.5 is generally acceptable; above 1.0 is good. It is commonly used to evaluate hedge funds and managed futures strategies.
- Sortino > Sharpe when the portfolio has positive skew — meaning it has more frequent small losses but fewer large ones, or the upside volatility is greater than downside. This indicates a favorable return distribution where Sharpe unfairly penalizes positive performance.
Related Calculators
Sources & References (5) ▾
- Performance Measurement in a Downside Risk Framework — Sortino & Van der Meer (1991) — Journal of Portfolio Management
- CFA Institute — Downside Risk Measures — CFA Institute
- Morningstar — Sortino Ratio — Morningstar
- Sortino Ratio Explained — Investopedia — Investopedia
- AQR Capital — Risk-Adjusted Performance Metrics — AQR Capital Management