A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (S) Expected Return Standard Deviation 15% Bond fund (B) 36% 27% 9% The correlation between the fund returns is 0.15. Required: Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation % % % %
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Stock fund (S) Expected Return Standard Deviation 15% Bond fund (B) 36% 27% 9% The correlation between the fund returns is 0.15. Required: Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. (Do not round intermediate calculations and round your final answers to 2 decimal places.) Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation % % % %
Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
Section: Chapter Questions
Problem 2FPE
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Step 1: basic
VIEWStep 2: Calculate the risk-free rate & risk premium for the two risky assets
VIEWStep 3: Calculate the weights (proportions) of the two risky assets in the optimal portfolio:
VIEWStep 4: Calculate the weights (proportions) of each asset:
VIEWStep 5: Calculate the expected return of the optimal risky portfolio:
VIEWStep 6: Calculate the standard deviation of the optimal risky portfolio:
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