Compute the estimated annual risk premiums, standard deviations, and Sharpe ratios for the two portfolios. Note: Do not round your intermediate calculations. Round "Sharpe ratios" to 4 decimal places and other answers to 2 decimal places. Risk premiums Standard deviations Sharpe ratios S&P Portfolio Hedge Fund Portfolio
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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, 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 10% per year, with a standard deviation of 24%. The hedge fund risk premium is estimated at 12% with a standard deviation of 39%. 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. Note: Do not round your intermediate calculations. Round "Sharpe ratios" to 4 decimal places and other…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 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 8% per year, with a standard deviation of 22%. The hedge fund risk premium is estimated at 10% with a standard deviation of 37%. 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. Calculate Greta's capital allocation using an annual correlation of 0.3. Note: Do not round your intermediate calculations. Round your answers to 2 decimal places. S&P Hedge Risk-free assetGreta has risk aversion of A = 4 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 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 18%. The hedge fund risk premium is estimated at 12% with a standard deviation of 33%. 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. Required: a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? a-2. What is the expected risk premium on the portfolio? Complete…
- 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 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 9% per year, with a standard deviation of 23%. The hedge fund risk premium is estimated at 11% with a standard deviation of 38 %. 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. Required: a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? a-2. What is the expected risk premium on the portfolio? Req A1…Greta has risk aversion of A = 3 and a 1 - year investment horizon. She is pondering twoportfolios, the S&P 500 and a hedge fund, as well as a number of 1 - year strategies. (Allrates are annual and continuously compounded.) The S&P 500 risk premium is estimated at9% per year, with a standard deviation of 23 % . The hedge fund risk premium is estimatedat 11% with a standard deviation of 38% . The returns on both of these portfolios in anyparticular year are uncorrelated with its own returns in other years. They are alsouncorrelated with the returns of the other portfolio in other years. The hedge fund claims thecorrelation coefficient between the annual return on the S&P 500 and the hedge fund returnin the same year is zero, but Greta is not fully convinced by this claim. Required: a-1.Assuming the correlation between the annual returns on the two portfolios is indeed zero,what would be the optimal asset allocation? a-2. What is the expected risk premium on theportfolio?…Greta has risk aversion of A = 4 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 1-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 5% per year, with a standard deviation of 17%. The hedge fund risk premium is estimated at 10% with a standard deviation of 32%. 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. Required: a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? a-2. What is the expected risk premium on the portfolio?
- Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the TSX/S&P Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The TSX/S&P Composite Index risk premium is estimated at 5% per year, with a standard deviation of 20%. The hedge fund risk premium is estimated at 10% with a standard deviation of 35%. 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 TSX/S&P Composite Index and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal…Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the TSX/S&P Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The TSX/S&P Composite Index risk premium is estimated at 5% per year, with a standard deviation of 20 %. The hedge fund risk premium is estimated at 10% with a standard deviation of 35%. 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 TSX/S&P Composite Index and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. If the correlation coefficient between annual portfolio returns is actually 0.3, what is the covariance between the returns? (Round your…Greta has risk aversion of A = 5 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the TSX/S&P Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The TSX/S&P Composite Index risk premium is estimated at 10% per year, with a standard deviation of 16%. The hedge fund risk premium is estimated at 8% with a standard deviation of 26%. 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 TSX/S&P Composite Index and the hedge fund return in the same year is zero, but Greta is not fully convinced by this claim. a-1. Assuming the correlation between the annual returns on the two portfolios is 0.3, what would be the optimal asset allocation? (Do not…
- The following information applies to Problems 22 through 27: Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continu- ously compounded.) The S&P 500 risk premium is estimated at 5% per year, with a standard devia- tion of 20%. The hedge fund risk premium is estimated at 10% with a standard deviation of 35%. 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. 22. Compute the estimated annual risk premiums, standard deviations, and Sharpe ratios for the two portfolios. 23. Assuming…Greta has risk aversion of A=3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-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 If the correlation coefficient between annual portfolio returns is actually 0.3, what is the covariance between the returns? (Round your answer to 3 decimal places.) Annual covariance 0.006Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, the S&P 500 and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuously compounded.) The S&P 500 risk premium is estimated at 7% per year, with a standard deviation of 20%. The hedge fund risk premium is estimated at 10% with a standard deviation of 35%. 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. What should be Greta's capital allocation? (Do not round your intermediate calculations. Round your answers to 2 decimal places.) S&P Hedge % % Risk-free asset %