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NISM Certifications · NISM-Series-V-A: Mutual Fund Distributors · Risk, Return and Performance of Funds

Scheme A returned 15% with a standard deviation of 10%. Scheme B returned 13% with a standard deviation of 6%. The risk-free rate is 7%. Which statement is correct based on the Sharpe ratio?

Scheme B is better, with a Sharpe ratio of 1.0 against 0.8 for Scheme A. Scheme A gives (15-7)/10 = 0.8, while Scheme B gives (13-7)/6 = 1.0. Although A earned a higher return, B earned more excess return per unit of risk taken.

  1. AScheme A is better, with a Sharpe ratio of 0.8 against 1.0
  2. BScheme B is better, with a Sharpe ratio of 1.0 against 0.8Correct
  3. CScheme A is better, with a Sharpe ratio of 1.5 against 1.0
  4. DBoth have the same Sharpe ratio of 1.0

Explanation

Scheme A: (15-7)/10 = 0.8. Scheme B: (13-7)/6 = 1.0. Scheme B gives more excess return per unit of risk, so it is better. Option A reverses the ratios, and option C uses the raw return divided by risk incorrectly.

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