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Sharpe Ratio – Meaning, Formula & How to Calculate?

Sharpe Ratio – Meaning, Formula & How to Calculate?

Summary: The Sharpe ratio is a performance measure that reveals how much extra return an investment has brought over its risk-free return. It is calculating a ratio of the standard deviation and risk-free return, whereas the interpretation may depend on the asset category, measurement period and market conditions.

The Sharpe ratio, developed by Nobel laureate William F. Sharpe is a risk-adjusted return calculated at a given level of risk per unit. This measure has been considered as a benchmark in the finance and investment management industry for risk-adjusted return. A Risk-adjusted return is an investment’s return adjusted to reflect the risk involved.

You can calculate the Sharpe ratio by using the returns of an investment, its volatility and the risk-free rate of return. The significance of the Sharpe Ratio lies in understanding how much extra return was earned by moving into riskier assets.

What Is the Sharpe Ratio?

Sharpe ratio is a risk-adjusted performance measure that indicates the excess return an investment generates for each risk unit or volatility. It uses an investment’s return and compares it with a risk-free return to determine if the return is worth the risk. Sharpe ratio explains the relationship between return and volatility and not only the return.

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What Does the Sharpe Ratio Measure?

The Sharpe ratio reflects the return that an investment generates for each unit of risk. It is calculated as the investment’s excess return above the risk-free rate divided by the standard deviation of the return of the investment. A higher Sharpe ratio means a better investment’s risk-adjusted performance. The Sharpe ratio is more informative than just considering returns, because it also considers the amount of volatility in generating those returns.

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Sharpe Ratio Formula

The Sharpe ratio formula is:

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

Rp is the portfolio or fund return, while Rf is the risk-free rate, which may use the yield on a 91-day Treasury Bill in India. Standard deviation measures how much returns may vary around their average.

How to Calculate the Sharpe Ratio: Step-by-Step Example

Here are the steps you can follow to use the Sharpe ratio formula and calculate the ratio:

  1. Note the Fund’s Average Annual Return: Assume Fund A earned an average annual return of 12%.
  2. Note the Prevailing Risk-Free Rate: Assume the applicable 91-day Government Treasury Bill rate is 6%.
  3. Calculate Excess Return: 12% − 6% = 6%.
  4. Calculate Standard Deviation: Assume Fund A has a standard deviation of 8%.
  5. Divide Excess Return by Standard Deviation: Sharpe ratio = 6% ÷ 8% = 0.75.

For comparison, Fund B that earns 12% with 6% standard deviation would have a Sharpe ratio of 1.00. The higher the ratio, the higher should be the excess return relative to volatility for the same calculation period and methodology.

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What Is a Good Sharpe Ratio?

There is no single Sharpe ratio threshold that defines it as good. A Sharpe ratio less than 1 is considered sub-optimal, while a ratio above 1 is good. Above 2 indicates very good risk-adjusted performance, and 3 or higher is considered excellent.

Moreover, what is a good Sharpe ratio may vary by asset class and market conditions, so the ratio is generally interpreted in the context of similar funds, asset classes, periods and calculation methods.

Sharpe Ratio in Mutual Funds: Why It Matters

Understanding what is sharpe ratio in mutual funds is important, because it is used to describe historical risk-adjusted performance among schemes with similar investment objectives. Two funds may generate similar returns, but the fund with the highest Sharpe ratio achieves the return with less volatility, relative to the return earned.

Note that the Sharpe ratio in mutual fund analysis must not be viewed in isolation. Beta, alpha and standard deviation can provide additional context.

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Limitations of the Sharpe Ratio

The Sharpe ratio treats all volatility as risk, whether the price is positive or negative. Consequently, the ratio can also be reduced by strong positive swings. It may not estimate future performance because of historical data analysis. So, comparisons across the different asset categories or periods is misleading. The Sharpe ratio measures the overall volatility, while the Sortino ratio considers only downside risk, and the Treynor ratio uses beta instead of standard deviation.

Conclusion

The Sharpe ratio is a one measure used to assess whether the investment’s historical excess returns were proportional to the volatility taken. It is one of many performance and risk measures that should be used with each other, rather than used alone.

The interpretation of a Sharpe ratio can vary based on the risk-free rate, asset class, measurement period and market conditions. Tata Capital Wealth provides you guidance and information on financial concepts and investment-related considerations.

Disclaimer: Mutual fund investments are subject to market risks. Please read all scheme-related documents carefully before investing.

FAQs

What is the Sharpe ratio?

The Sharpe ratio is a risk-adjusted return measure. It measures the excess return of an investment over a risk-free rate with standard deviation. A higher ratio indicates a greater excess return relative to the volatility experienced during the measured period.

What is the formula for the Sharpe ratio?

The Sharpe ratio formula is: Sharpe Ratio = (Portfolio Return − Risk-Free Rate) / Standard Deviation of Portfolio Returns. It measures the excess return generated for every unit of volatility over a given period of measurement.

What does the Sharpe ratio measure?

It measures the excess return generated for every unit of volatility. It determines both investment returns and risks involved to generate the returns. It makes sharpe ratio a risk adjusted measure rather than just comparison of absolute returns.

What is a good Sharpe ratio?

A Sharpe ratio of 1 or higher is interpreted as stronger, but there is no single threshold for a good sharpe ratio. The interpretation can depend on the asset class, period and comparison group.

What is the Sharpe ratio in mutual funds?

Sharpe ratio in mutual funds is used to compare the risk-adjusted performance of funds with similar objectives. It is more interpretable when compared with other statistics, including standard deviation, alpha and beta.

Can the Sharpe ratio be negative?

Yes. If an investment's return is below the selected risk-free rate, then a negative Sharpe ratio is generated. But the outcome must be interpreted with the investment’s objectives, market conditions and time horizon.

What is the difference between Sharpe ratio and Sortino ratio?

Sharpe and Sortino ratios are risk adjusted performance metrics, but use different risk definitions. The Sharpe ratio quantifies total volatility via standard deviation, whereas the Sortino ratio only considers the downside volatility under defined target or minimum acceptable return.