Problem 7-26 Greta, an elderly investor, has a degree of 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 SD of 21%. The hedge fund risk premium is estimated at 11% with a SD 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 returns on the S&P 500 and the hedge fund 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 hot round intermediate calculations. Enter your answers as decimals rounded to 4 places.) S&P Hedge -2. What is the expected risk premium on the portfolio? (Do not round intermediate calculations. Enter your answers as decimals rounded to 2 places.) Expected risk premium
Problem 7-26 Greta, an elderly investor, has a degree of 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 SD of 21%. The hedge fund risk premium is estimated at 11% with a SD 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 returns on the S&P 500 and the hedge fund 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 hot round intermediate calculations. Enter your answers as decimals rounded to 4 places.) S&P Hedge -2. What is the expected risk premium on the portfolio? (Do not round intermediate calculations. Enter your answers as decimals rounded to 2 places.) Expected risk premium
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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Transcribed Image Text:Problem 7-26
Greta, an elderly investor, has a degree of 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 SD of 21%. The hedge fund risk premium is
estimated at 11% with a SD 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 returns on the S&P 500 and the hedge fund 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 as decimals rounded to 4 places.)
S&P
Hedge
a-2. What is the expected risk premium on the portfolio? (Do not round intermediate calculations. Enter your answers as decimals
rounded to 2 places.)
Expected risk premium
%
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