A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long- term bond fund, and the third is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 23% 28% Bond fund (B) 15 17 The correlation between the fund returns is 0.12. You require that your portfolio yield an expected return of 13%, and that it be efficient, that is, on the steepest feasible CAL. Required: What is the standard deviation of your portfolio? What is the proportion invested in the money market fund and each of the two risky funds?

Essentials of Business Analytics (MindTap Course List)
2nd Edition
ISBN:9781305627734
Author:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Publisher:Jeffrey D. Camm, James J. Cochran, Michael J. Fry, Jeffrey W. Ohlmann, David R. Anderson
Chapter5: Probability: An Introduction To Modeling Uncertainty
Section: Chapter Questions
Problem 30P: Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of...
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A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long- term bond fund, and the third is a money market fund that provides a safe return of 7%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 23% 28% Bond fund (B) 15 17 The correlation between the fund returns is 0.12. You require that your portfolio yield an expected return of 13%, and that it be efficient, that is, on the steepest feasible CAL. Required: What is the standard deviation of your portfolio? What is the proportion invested in the money market fund and each of the two risky funds?

 

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