a portfolio has a beta of 1.35, a standard deviation of 13.3%, and an average return of 12.01%. the market rate is 12.7% and the risk-free rate is 2.1%. what is the sharpe ratio?

Respuesta :

The sharp ratio for the given question is 0.745.

How to calculate sharp ratio?

To evaluate risk-adjusted performance, the Sharpe ratio divide a portfolio's higher return by a measure of its volatility.

Investors typically substitute U.S. Treasury bond yields for the risk-free rate of return when calculating the Sharpe ratio by first deducting the risk-free rate from the rate of return on the portfolio. They then divide the outcome by the excess return on the portfolio's standard deviation.

Given,

Average return = 12.01%

Standard deviation = 13.3%

Risk-free rate = 2.1%

Now,

Calculating the sharp ratio,

Formula,

Sharp ratio = [(Average return - Risk-free rate) / Standard deviation]

Sharp ratio = [(12.01% -2.1%) / 13.3%]

Sharp ratio = [9.91% / 13.3%]

Sharp ratio= 0.745

Hence, The Sharp ratio is 0.745.

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