Question: a. [8 Points] You are evaluating the performance of three actively managed funds, named Fund A, Fund B and Fund C. The results of CAPM
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a. [8 Points] You are evaluating the performance of three actively managed funds, named Fund A, Fund B and Fund C. The results of CAPM regressions of historical returns for the three funds are given in the table below: Fund A Fund B Fund C Alpha 2.0% 1.0% -0.5% Beta 0.9 1.1 1.5 Residual Standard Error 7.0% 3.0% 4.0% It is also given that the market excess returns have an expected value of 6.0% and a standard deviation of 15.0%. i. ii. Which of the three funds is the best choice if your chosen fund will represent your entire portfolio of risky assets? Show your computations. Which of the three funds is the best choice if it represents the single active fund that you will combine with an existing passive fund that holds the market portfolio? Show your computations. If you chose to combine all three funds optimally with an existing fund that holds the market portfolio, what would be the Sharpe ratio of the optimal combination? Show your computations. iii. a. [8 Points] You are evaluating the performance of three actively managed funds, named Fund A, Fund B and Fund C. The results of CAPM regressions of historical returns for the three funds are given in the table below: Fund A Fund B Fund C Alpha 2.0% 1.0% -0.5% Beta 0.9 1.1 1.5 Residual Standard Error 7.0% 3.0% 4.0% It is also given that the market excess returns have an expected value of 6.0% and a standard deviation of 15.0%. i. ii. Which of the three funds is the best choice if your chosen fund will represent your entire portfolio of risky assets? Show your computations. Which of the three funds is the best choice if it represents the single active fund that you will combine with an existing passive fund that holds the market portfolio? Show your computations. If you chose to combine all three funds optimally with an existing fund that holds the market portfolio, what would be the Sharpe ratio of the optimal combination? Show your computations
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