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 4%. The inputs for the risky funds are given in the following table. Fund Expected Return Standard Deviation Stock fund 10% 15% Bond fund  8% 12.5% The correlation coefficient between the stock and the bond funds is 0.20.  What is the expected return and the variance for a portfolio that invests 60% in the stock fund and 40% in the bond fund?

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
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  1. 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 4%. The inputs for the risky funds are given in the following table.

Fund

Expected Return

Standard Deviation

Stock fund

10%

15%

Bond fund

 8%

12.5%

The correlation coefficient between the stock and the bond funds is 0.20.

  1.  What is the expected return and the variance for a portfolio that invests 60% in the stock fund and 40% in the bond fund?
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