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) Bond fund (8) Expected Return 15% 9% Stocks Bonds The correlation between the fund returns is 0.15. a. What would be the investment proportions of your portfolio if you were limited to only the stock and bond funds and the portfolio has to yield an expected return of 12%? Investment Proportions Standard Deviation 32% 23% %

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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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:
Stock fund (S)
Bond fund (8)
Stocks
Bonds
Expected Return
15%
9%
The correlation between the fund returns is 015.
a. What would be the investment proportions of your portfolio if you were limited to only the stock and bond funds and the portfolio
has to yield an expected return of 12%?
Investment Proportions
Standard deviation.
Standard Deviation
32%
23%
%
b. Calculate the standard deviation of the portfolio which yields an expected return of 12% (Do not round intermediate calculations.
Round your answer to 2 decimal places.)
Transcribed Image Text: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) Bond fund (8) Stocks Bonds Expected Return 15% 9% The correlation between the fund returns is 015. a. What would be the investment proportions of your portfolio if you were limited to only the stock and bond funds and the portfolio has to yield an expected return of 12%? Investment Proportions Standard deviation. Standard Deviation 32% 23% % b. Calculate the standard deviation of the portfolio which yields an expected return of 12% (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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