The Sharpe ratio, developed by Nobel laureate William Sharpe in 1966, measures risk-adjusted return: how much excess return a portfolio generates for each unit of volatility (standard deviation) it takes on.
The formula. Sharpe = (Portfolio Return − Risk-Free Rate) ÷ Standard Deviation. The risk-free rate is typically the 3-month US Treasury bill yield.
What the number means. - Below 1: Returns are not adequately compensating for risk. - 1–2: Acceptable risk-adjusted performance. - 2–3: Good — beating the market on a risk-adjusted basis. - Above 3: Excellent — typical of well-diversified strategies with low volatility.
Limitations of the Sharpe ratio. It penalizes upside volatility equally with downside volatility, which isn't economically meaningful — investors don't mind large positive returns. The ratio also assumes returns are normally distributed, which underestimates tail risk in strategies with fat tails or options-based payoffs.
The Sortino ratio. This variant replaces total standard deviation with downside deviation (volatility of negative returns only). A higher Sortino ratio relative to Sharpe suggests the portfolio's volatility is concentrated in positive returns — which is preferable.
Using Sharpe for comparison. Two portfolios with the same return but different volatilities will have different Sharpe ratios. The higher-Sharpe portfolio achieved the same return with less risk.