Greta, an elderly investor, has a degree of 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 4-year strategies. (All rates are annual, continuously compounded.) The S&P 500 risk premium is estimated at 6% per year, with a SD of 18%. The hedge fund risk premium is estimated at 4% with a SD of 24%. The return on each of these portfolios in any year is uncorrelated with its return or the return of any other portfolio in any other year. The hedge fund management claims the correlation coefficient between the annual returns on the S&P 500 and the hedge fund in the same year is zero, but Greta believes this is far from certain. Compute the estimated 1-year risk premiums, SDs, and Sharpe ratios for the two portfolios. (Do not round your intermediate calculations. Round "Sharpe ratios" to 4 decimal places and other answers to 2 decimal places.) Hedge Fund Portfolio S&P Portfolio Risk premiums SDs Sharpe ratios

Managerial Economics: Applications, Strategies and Tactics (MindTap Course List)
14th Edition
ISBN:9781305506381
Author:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Publisher:James R. McGuigan, R. Charles Moyer, Frederick H.deB. Harris
Chapter17: Long-term Investment Analysis
Section: Chapter Questions
Problem 7E
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Greta, an elderly investor, has a degree of 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 4-year strategies. (AlIl rates are annual, continuously
compounded.) The S&P 500 risk premium is estimated at 6% per year, with a SD of 18%. The hedge fund risk premium is estimated at
4% with a SD of 24%. The return on each of these portfolios in any year is uncorrelated with its return or the return of any other
portfolio in any other year. The hedge fund management claims the correlation coefficient between the annual returns on the S&P 500
and the hedge fund in the same year is zero, but Greta believes this is far from certain.
Compute the estimated 1-year risk premiums, SDs, and Sharpe ratios for the two portfolios. (Do not round your intermediate
calculations. Round "Sharpe ratios" to 4 decimal places and other answers to 2 decimal places.)
Hedge Fund
Portfolio
S&P Portfolio
Risk premiums
SDs
Sharpe ratios
Transcribed Image Text:Greta, an elderly investor, has a degree of 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 4-year strategies. (AlIl rates are annual, continuously compounded.) The S&P 500 risk premium is estimated at 6% per year, with a SD of 18%. The hedge fund risk premium is estimated at 4% with a SD of 24%. The return on each of these portfolios in any year is uncorrelated with its return or the return of any other portfolio in any other year. The hedge fund management claims the correlation coefficient between the annual returns on the S&P 500 and the hedge fund in the same year is zero, but Greta believes this is far from certain. Compute the estimated 1-year risk premiums, SDs, and Sharpe ratios for the two portfolios. (Do not round your intermediate calculations. Round "Sharpe ratios" to 4 decimal places and other answers to 2 decimal places.) Hedge Fund Portfolio S&P Portfolio Risk premiums SDs Sharpe ratios
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