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 (5) Expected Return 16% Standard Deviation 38% Bond fund (B) 10% 29% The correlation between the fund returns is 0.10.

Essentials Of Investments
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Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Section Break (8-11)
[The following information applies to the questions displayed below.]
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 (5)
Bond fund (B)
Expected Return
16%
10%
Standard Deviation
38%
29%
The correlation between the fund returns is 0.10.
Problem 6-9 (Algo)
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
%
%
%
%
13
Transcribed Image Text:Required information Section Break (8-11) [The following information applies to the questions displayed below.] 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 (5) Bond fund (B) Expected Return 16% 10% Standard Deviation 38% 29% The correlation between the fund returns is 0.10. Problem 6-9 (Algo) 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 % % % % 13
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