A fund achieved a return of 9.5%; the risk free rate was 1.5% and the market portfolio achieved 6%. The fund had a target Beta of 0.8, but was actually 1.25. The fund had a standard deviation of 28%, and the market had a standard deviation of 16%. (a) Calculate the following performance measures for the fund: • Sharpe ratio • Jensen’s alpha • Treynor ratio (b) Calculate whether the fund or the market portfolio would have provided more utility to an investor with a risk aversion coefficient, A, of 1.0
A fund achieved a return of 9.5%; the risk free rate was 1.5% and the market portfolio achieved 6%. The fund had a target Beta of 0.8, but was actually 1.25. The fund had a standard deviation of 28%, and the market had a standard deviation of 16%. (a) Calculate the following performance measures for the fund: • Sharpe ratio • Jensen’s alpha • Treynor ratio (b) Calculate whether the fund or the market portfolio would have provided more utility to an investor with a risk aversion coefficient, A, of 1.0
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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A fund achieved a return of 9.5%; the risk free rate was 1.5% and the market portfolio achieved 6%. The fund had a target Beta of 0.8, but was actually 1.25. The fund had a standard deviation of 28%, and the market had a standard deviation of 16%. (a) Calculate the following performance measures for the fund: • Sharpe ratio • Jensen’s alpha • Treynor ratio (b) Calculate whether the fund or the market portfolio would have provided more utility to an investor with a risk aversion coefficient, A, of 1.0
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