📊 Sharpe Ratio Calculator

The Sharpe ratio divides excess return by volatility. An 11 percent portfolio return with a 4.5 percent risk-free rate and 14 percent standard deviation gives (11 - 4.5) / 14 = 0.46: each unit of risk bought 0.46 units of excess return. It answers the question raw returns cannot: was the ride worth it?

Two portfolios can post identical 11 percent returns where one swung wildly and the other glided. The Sharpe ratio separates skill from luck-with-volatility, which is why allocators rank managers on it rather than on returns alone.

How to Use This Calculator

Enter the portfolio’s return, the risk-free rate for the period, and the standard deviation of returns. Use annualized figures for all three and the same period.

The Sharpe Ratio Formula

The numerator is the reward for taking risk; the denominator is the amount of risk taken. Subtracting the risk-free rate isolates what risk actually earned, since anyone can earn the Treasury yield without volatility. Annualize monthly figures by multiplying mean excess return by 12 and volatility by the square root of 12.

The ratio assumes volatility is the right risk measure and that returns are roughly normal. It penalizes upside volatility the same as downside, which is its famous flaw: a portfolio with big up jumps scores worse than its investors feel. The Sortino ratio fixes this by using only downside deviation.

Worked Example

Return 11 percent, risk-free 4.5 percent, volatility 14 percent. Excess = 6.5 percent. Sharpe = 6.5 / 14 = 0.46. Positive but thin: the portfolio beats cash, but each unit of volatility buys less than half a unit of excess return.

Comparison version: Fund A returns 9 percent at 8 percent volatility (Sharpe 0.56); Fund B returns 12 percent at 20 percent volatility (Sharpe 0.38). Fund B’s headline return is higher, but Fund A delivers more return per unit of risk. An investor who can lever Fund A modestly beats Fund B with less drama. This is the entire professional case for risk-adjusted thinking, and our average return calculator shows why geometric compounding favors the smoother path too.

Sharpe Ratio Benchmarks

US stocks have delivered long-run Sharpe ratios around 0.4 to 0.5, which reframes expectations: a 0.46 is market-like, not bad. Ratios above 2 invite skepticism about the data: short histories, survivorship bias, or hidden tail risk (strategies that sell insurance look brilliant until they do not). Always ask what risk the volatility number misses. For the return side of the ledger, our real rate of return calculator strips inflation out first.

The Information Ratio: Sharpe’s Active Cousin

The information ratio applies the same logic against a benchmark instead of cash: (portfolio return - benchmark return) / tracking error. A fund beating its index by 2 percent with 4 percent tracking error has an IR of 0.5. Where Sharpe asks “was the absolute risk worth it,” IR asks “was deviating from the benchmark worth it.” Active managers live and die by IR; closet indexers show IRs near zero.

Interpretation mirrors Sharpe: 0.5 is good, 1.0 is excellent, negative means the active bets hurt. The two ratios together diagnose a fund completely: high Sharpe with low IR means the market did the work (buy the index cheaper); high IR with modest Sharpe means genuine manager skill in a tough market. Always ask which risk a ratio prices before admiring its level.

Sharpe Ratios and Borrowing

Borrowing scales both return and volatility, leaving the Sharpe ratio theoretically unchanged: doubling exposure doubles excess return and doubles volatility. In practice, borrowing costs, margin calls, and fat tails make borrowed-money Sharpes worse than the arithmetic suggests. This is why comparing a margined strategy’s Sharpe to an unlevered one flatters the margined fund: the ratio hides the ruin risk that borrowing adds.

The honest comparison risk-adjusts for the borrowing actually used: look at maximum drawdown, margin requirements, and tail behavior alongside Sharpe. Strategies with identical Sharpes can have wildly different worst cases. Sharpe measures the average journey; drawdown measures the worst day. Size positions for the worst day, admire the average one. Never let a ratio do your risk management.

Sharpe Ratios Across Asset Classes

Compare Sharpes only within context: managed futures often post 0.8 to 1.2 with crisis alpha that equities lack; high-yield bonds show smooth Sharpes that hide default clustering; trend strategies look mediocre until the one year they save the portfolio. Each asset’s Sharpe reflects its return distribution’s shape, and shapes differ more than the ratios suggest.

The portfolio Sharpe is what matters in the end, and diversification raises it more reliably than manager selection: combining imperfectly correlated 0.5-Sharpe strategies can yield a 1.0 portfolio. That arithmetic is the entire case for diversification, expressed in one ratio. Do not chase the highest Sharpe component; build the highest Sharpe portfolio.

Estimates for planning only, not financial advice.