Question

Mutual fund A earned 10 percent while B earned 8 percent. The standard deviations of the returns were 7 percent and 4 percent, respectively. Assumr risk free rate of 2%.
a) Estimate the Sharpe ratio of each mutual fund
b) According to the Sharpe ratio, which fund performed better?

Answer 1

Answer:

a) 0.9 & 1

b) Mutual Fund B

Explanation:

For starters, I will define what Sharpe ratio is.....

Sharpe ratio is tagged, the measure of risk-adjusted return of a financial portfolio. It is worthy if note that on the average, a portfolio with a higher Sharpe ratio is considered superior relative to its peers.

You the question, the Sharpe ratios would be calculated as follows:

(Return of portfolio - risk free rate) / standard deviation.

So, for Mutual Fund A:

A = (12% - 3%) / 10%

A = 9% / 10%

A = 0.9

For Mutual Fund B:

B = (10% - 3%) / 7%

B = 7% / 7 %

B = 1

Although the Mutual Fund in A is calculated to have a higher return, the Mutual Fund B is laced with a higher risk-adjusted return.