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Two portfolio managers, Mr. P and Mr. Q, claim that they are both good at picking under-priced stocks. Over the years, the average return of
Two portfolio managers, Mr. P and Mr. Q, claim that they are both good at picking under-priced stocks. Over the years, the average return of the portfolio managed by Mr. P was 14%, with a standard deviation 15.5%, while the average return of Mr. Q's portfolio was 17.5%, with a standard deviation 17%. Over the same period, the average market return was 12%, with a standard deviation 12%. I have estimated that the covariance between Mr. P's portfolio and the market was OPM=0.018, while the covariance between Mr. Q's portfolio and the market was Oqm=0.0216. Finally, the risk-free rate is 2%. (a) Compute the expected returns of Mr. P's and Mr. Q's portfolios that would be consistent with the CAPM. (b) Using the CAPM as the benchmark, are the two managers out-performing the market? (c) If both Mr. P's and Mr. Q's average returns reflects the expected returns, what should be the implied beta of each fund? What can you say about the estimated covariance with the market for each fund
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