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) 16% 40% Bond fund (B) 10% 31%   The correlation between the fund returns is 0.11.     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 ___%

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 5P
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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 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) 16% 40%
Bond fund (B) 10% 31%

 

The correlation between the fund returns is 0.11.

 

 

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 ___%

 

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