K72. Greta has risk aversion of A = 3 when applied to return on wealth over a one-year horizon. She is pondering two portfolios, theTSX/S&P Composite Index and a hedge fund, as well as a number of one-year strategies. (All rates are annual and continuouslycompounded.)The TSX/S&P Composite Index risk premium is estimated at 8% per year, with a standard deviation of 23%. The hedge fund riskpremium is estimated at 10% with a standard deviation of 40%. The returns on both of these portfolios in any particular year areuncorrelated with its own returns in other years. They are also uncorrelated with the returns of the other portfolio in other years. Thehedge fund claims the correlation coefficient between the annual return on the TSX/S&P Composite Index and the hedge fund returnin the same year is zero, but Greta is not fully convinced by this claim.Assuming the correlation between the annual returns on the two portfolios is 0.3, What should be Greta's capital allocation? (Do notround intermediate calculations. Enter your answer as percentage rounded to 2 decimals.)Greta's capital allocation%

As per the given information: To determine: The Greta's capital allocation.

Answered: Greta has risk aversion of A=3 when…

FINANCIAL ACCOUNTING

10th Edition

ISBN:9781259964947

Author:Libby

Publisher:Libby

Chapter1: Financial Statements And Business Decisions

Section: Chapter Questions

Problem 1Q

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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 = 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…
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 8% per year, with a standard deviation of 23%. The hedge fund risk premium is estimated at 10% 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. 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
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 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 %
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 8% per year, with a standard deviation of 23%. The hedge fund risk premium is estimated at 10% 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. Calculate Greta's capital allocation using an annual correlation of 0.3. (Do not round your intermediate calculations. Round your answers to 2 decimal places.) S&P Hedge Risk-free asset % %…
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 18%. The hedge fund risk premium is estimated at 10% 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. Calculate Greta's capital allocation using an annual correlation of 0.3. S&P = Hedge = Risk-free asset =
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 18%. The hedge fund risk premium is estimated at 8% 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. 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 round intermediate calculations. Enter your answers…
Greta has risk aversion of A = 4 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 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. If the correlation coefficient between annual portfolio returns is actually 0.3, what is the covariance between the returns?
Greta has risk aversion of A= 5 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 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 17%. The hedge fund risk premium is estimated at 11% 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. a-1. Assuming the correlation between the annual returns on the two portfolios is indeed zero, what would be the optimal asset allocation? (Do not round intermediate calculations. Enter your…
Greta has risk aversion of A = 3 when applied to return on wealth over a 1-year 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 17%. The hedge fund risk premium is estimated at 11% 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 0.3, what would be the optimal asset allocation? a-2. What is the expected risk premium on the…
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 3-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. Compute the estimated 1-year risk premiums, standard deviations, and Sharpe ratios for the two portfolios. (Do not round your intermediate calculations. Round "Sharpe ratios" to 4 decimal…

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