Mutual fund A earned 10 percent while B earned 8 percent. The standard deviations of the returns were 10 percent and 7 percent, respectively. According to the Sharpe ratio, which fund performed better?

Fund B is better

Explanation:

Given:

Return of fund A = 10 %

Return of fund B = 8 %

Standard deviations of A = 10%

Standard deviations of B = 7%

Find:

Which fund better?

Computation:

Sharpe ratio for A = (10-3)/10

Sharpe ratio for A = 0.7  

Sharpe ratio for B = (8-3)/7

Sharpe ratio for B = 0.714

So,

Sharpe ratio for B is higher

Fund B is better

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30