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
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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 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
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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