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Portfolio & Risk

Sharpe Ratio

Risk-adjusted return above the risk-free rate

What is Sharpe Ratio?

The Sharpe Ratio measures risk-adjusted return: how much excess return (above the risk-free rate) an investment earns per unit of total volatility. Developed by William Sharpe in 1966, it is the most widely used risk-adjusted performance metric in finance. A Sharpe Ratio above 1.0 is considered good; above 2.0 is excellent; above 3.0 is exceptional and often unsustainable. The ratio penalises both upside and downside volatility equally, which is a limitation; the Sortino Ratio addresses this by using only downside deviation. A strategy with a high Sharpe Ratio in a bull market may have a very different Sharpe in a bear market.

Formula

Sharpe Ratio = (Portfolio Return − Risk-Free Rate) / Portfolio Standard Deviation

Portfolio Return = annualised return (%)

Risk-Free Rate = annualised T-bill yield (%)

Standard Deviation = annualised volatility of returns (%)

Calculator

How to Use

  1. 1
    Calculate annualised return: Total return over the period, annualised. For monthly returns, annualise as (1+r)^12 − 1.
  2. 2
    Subtract the risk-free rate: Use the 3-month T-bill rate annualised over the same period.
  3. 3
    Divide by annualised standard deviation: The standard deviation of return series, annualised (multiply monthly StdDev by √12).
  4. 4
    Interpret: >1 is good, >2 is excellent. Compare strategies on the same time period to make valid comparisons.

Worked Example

Example: Equity fund

Portfolio Return

14%

Risk-Free Rate

5%

Std Dev

12%

Sharpe = (14% − 5%) / 12% = 0.75. Below 1.0: the fund earns less than one unit of excess return per unit of risk. An index fund returning 12% with 15% volatility would have Sharpe = (12%-5%)/15% = 0.47, which is worse. So the fund beats the index on a risk-adjusted basis despite lower absolute return if its volatility is lower.

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