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.
- AScheme A is better, with a Sharpe ratio of 0.8 against 1.0
- BScheme B is better, with a Sharpe ratio of 1.0 against 0.8Correct
- CScheme A is better, with a Sharpe ratio of 1.5 against 1.0
- 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.
Did you get it right without looking?
One question tells you little. A timed set on Risk, Return and Performance of Funds shows your real accuracy, how long you take and where you lose marks.
More Risk, Return and Performance of Funds questions
- Fund A and Fund B both have a Treynor-based comparison over the same period. Fund A: return 15%, beta 1.5; Fund B: return 12%, beta 0.8. The…
- A scheme earned a return of 12% over a year while its risk-free rate was 6% and its standard deviation was 10%. What is its Sharpe ratio?
- 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 fun…
- A scheme has a beta of 1.2 relative to its benchmark. If the benchmark rises by 10%, what is the scheme's expected movement, all else equal?
- Fund A has a standard deviation of 18% and Fund B has a standard deviation of 12%, both over the same period and with similar objectives. Wh…
- A scheme has a beta of 1.2. If the market index falls by 10%, what fall would be expected in the scheme's value, based on beta alone?