Question

The following data are available relating to the performance of Wildcat Fund and the market portfolio: Wildcat Market Portfolio Average return 18 % 15 % Standard deviations of returns 25 % 20 % Beta 1.25 1.00 Residual standard deviation 2 % 0 % The risk-free return during the sample period was 7%. What is the information ratio measure of performance evaluation for Wildcat Fund

Answer 1

Answer:

50.0%

Explanation:

The computation of the information ratio is as follows

Information ratio = Alpha ÷ residual standard deviation

where,

Alpha is

= Average rate of return - required rate of return

The average rate of return is 18%

And the required rate of return is

= Risk-free rate + Beta × (Market rate of return - Risk-free rate)

= 7% + 1.25 × (15% - 7%)

= 17%

So, the alpha is

= 18% - 17%

= 1%

Therefore the information ratio is

= 1% ÷ 2%

= 50.0%