What is the Sharpe ratio?

Plain-English meaning, the formula, a worked example and the mistakes to avoid.

The short answerThe Sharpe ratio measures how much extra return an investment earns for each unit of risk taken. Risk here means volatility, the standard deviation of returns. A higher Sharpe ratio is better.

How it works

Take the investment's return, subtract the risk-free rate to get the excess return, and divide by the standard deviation of returns. Two funds with the same return can have different Sharpe ratios if one swung far more than the other.

The Sharpe ratio is useful for comparing investments or funds on a risk-adjusted basis. It assumes returns are roughly symmetrical, so it can understate the risk of strategies that have rare but large losses.

Sharpe ratio = (Return − Risk-free rate) ÷ Standard deviation of returns

A simple example

A fund returned 10% with 12% volatility. The risk-free rate is 4%. Sharpe ratio = (10% − 4%) ÷ 12% = 0.50.

How it is used

  • Comparing funds and portfolios on a risk-adjusted basis.
  • Judging whether extra return justified extra risk.
  • Reviewing a manager's track record.

Common mistakes

  • Comparing Sharpe ratios measured over different periods.
  • Ignoring that returns may not be symmetrical.
  • Using too short a track record.
  • Judging a strategy with rare large losses by this ratio alone.

Questions

What is a good Sharpe ratio?

As a rough guide, above 1.0 is often considered good and above 2.0 very good, but it varies by strategy and period. Compare like with like.

What is the difference between the Sharpe ratio and alpha?

The Sharpe ratio compares excess return with total volatility. Alpha compares return with what the investment's beta would predict.

Keep learning

For education only. This page is general information. It is not financial, investment, legal or tax advice, and it does not take your situation into account.

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