NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors · Risk, Return and Performance of Funds
A fund earned a return of 14% in a year. The risk-free rate is 6%, the fund's standard deviation is 16% and its beta is 0.8. What is the fund's Sharpe ratio?
The Sharpe ratio is 0.50. It is calculated as the excess return over the risk-free rate, which is 14% minus 6% equals 8%, divided by the standard deviation of 16%. Beta is not used in the Sharpe ratio, since it relies on total risk.
- A0.50Correct
- B0.875
- C10.0
- D0.60
Explanation
Sharpe ratio = (fund return - risk-free rate) / standard deviation = (14 - 6) / 16 = 0.50. The value 0.875 divides the excess return by the return minus nothing but 16 wrongly applied inverted weights; it actually comes from 14/16. The value 10.0 is the Treynor ratio, 8/0.8, which uses beta instead of standard deviation. The value 0.60 has no basis in the data.
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