Sortino vs Sharpe
Explain how Sortino differs from Sharpe and why it's a better fit for asymmetric strategies.
Lesson path
Options, Risk Math, and Psychology
Risk Math Deep Dive
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Explain how Sortino differs from Sharpe and why it's a better fit for asymmetric strategies.
Sortino: only count the bad swings
Sharpe has a flaw. It punishes ALL volatility equally — including upside volatility. A strategy that prints a +30% month gets penalized in Sharpe the same way a strategy with a -30% month does. That's silly. Nobody complains about up-volatility. Sortino fixes this. Sortino's formula looks like Sharpe but with one change: the denominator is the downside deviation — the standard deviation of ONLY losing periods. Upside doesn't count against you.
Worked example. Trend-following strategy with these monthly returns: +30%, +1%, +1%, -3%, +1%, +1%, -2%. The big +30% month happens once, the small losses happen twice. Sharpe sees the +30% as 'risk' and penalizes the ratio. Sortino looks ONLY at the -3% and -2% to build the denominator. Result: Sortino is higher than Sharpe, and it more honestly reflects what an investor cares about — losing months, not winning ones.
When to prefer Sortino. Use it for strategies that go for home runs — trend-following, long-vol options structures, momentum. Use Sharpe (or both) for mean-reversion or market-neutral strategies where returns are symmetric. The general practitioner rule: if your strategy has a long right tail (occasional big wins), Sortino is honest about it. If your strategy has a long left tail (occasional big losses — like selling naked options), Sortino can FLATTER you. In that case, also watch max drawdown.
Recap: Sortino is Sharpe but downside-only. Better for positive-skew strategies. Worse for hidden left-tail strategies (where it flatters you). Report both. The gap reveals the skew.
Knowledge check
Answer before moving on.
1. Your strategy has Sharpe 1.0 and Sortino 2.5. What does the gap likely tell you?
2. For which strategy is Sortino most useful as an evaluation metric?
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