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Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio

Finance May 25, 2021

Use the following data to answer the question regarding the performance of Guardian Stock Fund and the market portfolio. The risk-free return during the sample period was 5%. 
                                                                  Guardian                    Market Portfolio

Average return                                             14%                             10%

Standard deviation of returns                       26%                             21%

Beta                                                              1.2                               1

Residual standard deviation                          4%                              0% 
Calculate the information ratio measure of performance for Guardian Stock Fund. (Round your answer to 2 decimal places. Do not round intermediate calculations.) 

Expert Solution

Computation of the information ratio:-

Required return on Guardian stock = Risk free rate + Beta * (Market return - Risk free rate)

= 5% + 1.2 * (10% - 5%)

= 5% + (1.2 * 5%)

= 5% + 6%

= 11%

Information ratio = (Expected return on Guardian stock - Required return on Guardian stock ) / Residual standard deviation

= (14% - 11%) / 4%

= 3% / 4%

= 0.75

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