WealthJot.ai

Sortino & Downside Risk

intermediate6 min read

Sharpe punishes upside volatility too. Sortino fixes that by counting only the losses.

The Sortino ratioReturn per unit of downside risk only. is a refinement of SharpeReturn per unit of risk — the standard risk-adjusted measure. that fixes one of its biggest flaws. It measures return per unit of downside risk only — using the volatilityThe size of price swings — not their direction. of losses (downside deviationVolatility of only the negative returns.) in the denominator, instead of total volatilityThe size of price swings — not their direction..

SortinoReturn per unit of downside risk only. exists because of a simple, obvious truth SharpeReturn per unit of risk — the standard risk-adjusted measure. ignores: *investors don’t fearThe two emotions that move markets and ruin accounts. volatilityThe size of price swings — not their direction. — they fearThe two emotions that move markets and ruin accounts. losses. A big upside* surge is “volatilityThe size of price swings — not their direction.” too, and SharpeReturn per unit of risk — the standard risk-adjusted measure. penalises it as if it were risk — which is absurd; nobody complains about their account jumping up. SortinoReturn per unit of downside risk only. corrects this by counting only downside deviation, so a strategy with explosive upside and gentle downside (exactly what you want) is rewarded, not punished. This makes Sortino especially fair for asymmetric strategies — like trendThe prevailing direction of price: up, down or sideways.-following, which has many small losses and rare huge wins, and which Sharpe unfairly dings for its “volatile” big winners. The principle: measure risk as the thing you actually care about — the chance and depth of losing money — not the harmless excitement of winning big.
ExampleA trendThe prevailing direction of price: up, down or sideways.-following strategy has many small losses and a few enormous winning trades. Its big up-moves inflate total volatilityThe size of price swings — not their direction., dragging its SharpeReturn per unit of risk — the standard risk-adjusted measure. down to a mediocre 0.8. But because those swings are upside, its SortinoReturn per unit of downside risk only. is a strong 1.6 — correctly reflecting that its “volatilityThe size of price swings — not their direction.” is mostly the good kind. SortinoReturn per unit of downside risk only. saw the quality SharpeReturn per unit of risk — the standard risk-adjusted measure. penalised.
FAQs
Should I use Sharpe or Sortino?

Use both — they answer slightly different questions. Sharpe penalises all volatility (useful as a conservative, widely-understood benchmark); Sortino isolates downside risk (fairer for strategies with upside skew). A big gap between them is informative: Sortino ≫ Sharpe means the “risk” Sharpe saw was mostly upside. Neither replaces looking at drawdown and tail risk directly.