A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the secon the third is a money market fund. The money market fund yields a risk-free return of 6%. The inputs for the risky fe following table. Fund Stock fund Bond fund Expected Return Standard Deviation 12% 9% Expected return Variance The correlation coefficient between the stock and the bond funds is 0.29. a. What is the expected return and the variance for a portfolio that invests 57% in the stock fund and 43% in the bo intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) 30% 22% % %2
A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the secon the third is a money market fund. The money market fund yields a risk-free return of 6%. The inputs for the risky fe following table. Fund Stock fund Bond fund Expected Return Standard Deviation 12% 9% Expected return Variance The correlation coefficient between the stock and the bond funds is 0.29. a. What is the expected return and the variance for a portfolio that invests 57% in the stock fund and 43% in the bo intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.) 30% 22% % %2
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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A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the second is a bond fund and
the third is a money market fund. The money market fund yields a risk-free return of 6%. The inputs for the risky funds are given in the
following table.
Expected Return Standard Deviation
12%
9%
30%
22%
The correlation coefficient between the stock and the bond funds is 0.29.
a. What is the expected return and the variance for a portfolio that invests 57% in the stock fund and 43% in the bond fund? (Round
intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
Fund
Stock fund
Bond fund
Expected return
Variance
%
%2
b. What is the expected return and the variance for a portfolio that invests 57% in the stock fund and 43% in the money market fund?
[Hint: Note that the correlation coefficient between the portfolio and the money market fund is zero.] (Round intermediate calculations
to at least 4 decimal places and final answers to 2 decimal places.)
Expected return
Variance
%
%2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F11b80043-203a-42b2-8fd2-d4315490e86e%2F61910b4a-8829-47b3-a6bc-0ff9f198a40a%2Fao0yjjo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:es
A pension fund manager is considering three mutual funds for investment. The first one is a stock fund, the second is a bond fund and
the third is a money market fund. The money market fund yields a risk-free return of 6%. The inputs for the risky funds are given in the
following table.
Expected Return Standard Deviation
12%
9%
30%
22%
The correlation coefficient between the stock and the bond funds is 0.29.
a. What is the expected return and the variance for a portfolio that invests 57% in the stock fund and 43% in the bond fund? (Round
intermediate calculations to at least 4 decimal places and final answers to 2 decimal places.)
Fund
Stock fund
Bond fund
Expected return
Variance
%
%2
b. What is the expected return and the variance for a portfolio that invests 57% in the stock fund and 43% in the money market fund?
[Hint: Note that the correlation coefficient between the portfolio and the money market fund is zero.] (Round intermediate calculations
to at least 4 decimal places and final answers to 2 decimal places.)
Expected return
Variance
%
%2
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