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 rate of 8%. The probability distribution of the risky funds is as follows: Expected Standard Return Deviation Stock fund (S) Bond fund (B) 178 30% 11 22 The correlation between the fund returns is 0.10. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Portfolio invested in the stock 69.2241 Portfolio invested in the bond 0.7649

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
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Problem 7-4
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 rate of 8%. The probability distribution of the risky funds
is as follows:
Expected
Standard
Return
Deviation
Stock fund (S)
Bond fund (B)
17%
30%
11
22
The correlation between the fund returns is 0.10.
a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds. (Do not round intermediate
calculations. Enter your answers as decimals rounded to 4 places.)
Portfolio invested in the stock
69.2241
Portfolio invested in the bond
0.7649
Transcribed Image Text:Problem 7-4 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 rate of 8%. The probability distribution of the risky funds is as follows: Expected Standard Return Deviation Stock fund (S) Bond fund (B) 17% 30% 11 22 The correlation between the fund returns is 0.10. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Portfolio invested in the stock 69.2241 Portfolio invested in the bond 0.7649
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