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: Expected Return Standard Deviation Stock fund (S) 17% 32% Bond fund (B) 11% 23% The correlation between the fund returns is 0.25. 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 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: Expected Return Standard Deviation Stock fund (S) 17% 32% Bond fund (B) 11% 23% The correlation between the fund returns is 0.25. 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 Stock ____ % Portfolio Invested in the bond ____% Expected Return ____% Standard Deviation ___%
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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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
| Expected Return | Standard Deviation | |
|---|---|---|
| Stock fund (S) | 17% | 32% |
| Bond fund (B) | 11% | 23% |
The correlation between the fund returns is 0.25.
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 Stock ____ %
Portfolio Invested in the bond ____%
Expected Return ____%
Standard Deviation ___%
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