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Greta has risk aversion of A = 3 and a 1-year investment horizon. She is pondering two portfolios, the S&P 500 and a hedge fund,
Greta has risk aversion of A = 3 and a 1-year investment horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of 3-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 6% per year, with a standard deviation of 21%. The hedge fund risk premium is estimated at 9% with a standard deviation of 36%. The returns on both of these portfolios in any particular year are uncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. The hedge fund claims the correlation coefficient between the annual return on the S&P 500 and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. Compute the estimated annual risk premiums, standard deviations, and Sharpe ratios for the two portfolios
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