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 (B) Expected Return 16% Standard Deviation 36% 10% 27% The correlation between the fund returns is 0.20. Problem 6-11 (Algo) Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL. Required: a. What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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 (B) Expected Return 16% Standard Deviation 36% 10% 27% The correlation between the fund returns is 0.20. Problem 6-11 (Algo) Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL. Required: a. What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal places.)
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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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:
Expected Return Standard Deviation
Stock fund (S)
16%
Bond fund (B)
10%
The correlation between the fund returns is 0.20.
36%
27%
Problem 6-11 (Algo)
Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL.
Required:
a. What is the standard deviation of your portfolio? (Do not round intermediate calculations. Round your answer to 2 decimal
places.)
Standard deviation
b-1. What is the proportion invested in the T-bill fund? (Do not round intermediate calculations. Round your answer to 2 decimal
places.)
Proportion invested in the T-bill fund
%
b-2. What is the proportion invested in each of the two risky funds? (Do not round intermediate calculations. Round your answers to
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