Trading Metrics

SortinoRatio

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Quick Definition

Sortino Ratio — Sortino ratio is a risk-adjusted return metric that only penalizes downside volatility, calculated as excess return divided by downside deviation.

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Sortino ratio is a risk-adjusted performance metric that improves on the Sharpe ratio by only penalizing downside volatility. While Sharpe treats all volatility as bad, Sortino recognizes that upside volatility (big wins) is actually desirable—it’s only the losses that hurt your portfolio.

  • Sortino ratio above 2.0 is good; above 3.0 is excellent
  • Only penalizes downside volatility, making it fairer for asymmetric strategies
  • Particularly useful for strategies with occasional large wins

How Sortino Ratio Works

The Sortino ratio modifies the Sharpe ratio by replacing standard deviation with downside deviation in the denominator. This means only negative returns count against you.

Sortino Ratio = (Portfolio Return - Risk-Free Rate) / Downside Deviation

Where downside deviation only considers returns below the minimum acceptable return (MAR), typically 0% or the risk-free rate.

Quick Reference

Sortino RatioInterpretationRisk Assessment
Below 0Losing moneyPoor downside control
0 to 1.0MarginalNeeds improvement
1.0 to 2.0AcceptableDecent risk management
2.0 to 3.0GoodStrong downside protection
Above 3.0ExcellentSuperior risk control

Example Calculation

Let’s calculate Sortino ratio for a trading strategy:

Monthly Returns Over 12 Months: +5%, -2%, +8%, +3%, -4%, +6%, -1%, +10%, +4%, -3%, +7%, +2%

Step 1: Calculate Average Return Average = (5-2+8+3-4+6-1+10+4-3+7+2) / 12 = 2.92% monthly

Step 2: Identify Downside Returns Negative months: -2%, -4%, -1%, -3%

Step 3: Calculate Downside Deviation Downside Deviation = √[((-2)² + (-4)² + (-1)² + (-3)²) / 12] = √(30/12) = 1.58%

Step 4: Calculate Sortino (assuming 0% risk-free) Sortino = 2.92% / 1.58% = 1.85

This indicates acceptable risk-adjusted returns with good downside management.

Sortino ratio measures risk-adjusted returns using only downside volatility. Unlike Sharpe ratio which penalizes all volatility, Sortino recognizes that upside swings are desirable. A Sortino above 2.0 is good, and above 3.0 is excellent.

Sortino vs Sharpe: A Practical Comparison

Consider two traders with different return patterns:

Trader A: Consistent small gains, occasional large losses

  • Returns: +2%, +1%, +2%, -8%, +1%, +2%
  • Sharpe Ratio: 0.15
  • Sortino Ratio: 0.20

Trader B: Occasional large gains, consistent small losses

  • Returns: -1%, -1%, +12%, -1%, -1%, +10%
  • Sharpe Ratio: 0.80
  • Sortino Ratio: 2.40

Trader B has much higher Sortino because their volatility comes from upside—exactly what you want. Sharpe undervalues this strategy because it treats winning volatility as bad.

Why Sortino Matters for Active Traders

  1. Asymmetric strategies shine – Many trading strategies aim for occasional large wins with small frequent losses. Sortino properly values this approach.

  2. More intuitive – Traders understand that big winning days shouldn’t count against them. Sortino aligns with this intuition.

  3. Better for options sellers – Strategies that collect premium and occasionally have large losses show their true nature better with Sortino.

  4. Trend following evaluation – Trend strategies often have many small losses and few large wins. Sortino captures their true risk-adjusted value.

Common Mistakes

  1. Confusing with Sharpe – Higher Sortino than Sharpe indicates positive skew (more upside than downside volatility). Lower Sortino than Sharpe indicates negative skew.

  2. Using wrong MAR – The minimum acceptable return affects results. Using 0% vs risk-free rate vs your target return gives different Sortinos.

  3. Insufficient data – Like all risk metrics, Sortino needs enough data points. At least 30-50 periods for reliability.

  4. Ignoring both ratios – Don’t use Sortino exclusively. Compare it with Sharpe to understand your return distribution.

How JournalPlus Tracks Sortino Ratio

JournalPlus calculates both Sharpe and Sortino ratios automatically, letting you compare them side by side. By analyzing the gap between these ratios, you can understand whether your strategy has positive or negative skew—and whether your wins are bigger than your losses in a risk-adjusted sense.

Common Questions

What is a good Sortino ratio?

A Sortino ratio above 1.0 is acceptable, above 2.0 is good, and above 3.0 is excellent. Since Sortino only penalizes downside volatility, ratios tend to be higher than Sharpe ratios for the same strategy. Consistently achieving 2.0+ indicates strong downside risk management.

How do you calculate Sortino ratio?

Sortino ratio equals portfolio return minus risk-free rate, divided by downside deviation. The formula is: (Rp - Rf) / σd, where σd only considers returns below a minimum acceptable return (often 0% or the risk-free rate).

What is the difference between Sortino and Sharpe ratio?

Sharpe ratio penalizes all volatility equally, while Sortino only penalizes downside volatility. If your strategy has large upside swings (which are good), Sharpe will unfairly penalize them. Sortino gives a more accurate picture for asymmetric return distributions.

Why is Sortino ratio better for traders?

Traders want upside volatility—big winning days are good. Sortino ratio recognizes this by only penalizing losses. A day trader with occasional large wins but consistent small losses would have a better Sortino than Sharpe ratio.

What is downside deviation?

Downside deviation is the standard deviation of only negative returns (returns below your target or zero). Unlike standard deviation which treats all volatility equally, downside deviation focuses purely on the volatility that hurts you.

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