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 th is a money market fund that provides a safe return of 4%. The characteristics of the risky funds are as follows: Expected Return 24% 12 Standard Deviation Stock Fund (S) 30% 19 Bond fund (B) The correlation between the fund returns is 0.13. You require that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepest feasible CAL. Required: a. What is the standard deviation of your portfolio? b. What is the proportion invested in the money market fund and each of the two risky funds?

Pfin (with Mindtap, 1 Term Printed Access Card) (mindtap Course List)
7th Edition
ISBN:9780357033609
Author:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Publisher:Randall Billingsley, Lawrence J. Gitman, Michael D. Joehnk
Chapter13: Investing In Mutual Funds, Etfs, And Real Estate
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Problem 7-9 (Algo)
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 thi
is a money market fund that provides a safe return of 4%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
Expected
Return
30%
19
The correlation between the fund returns is 0.13.
You require that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepest feasible CAL.
Standard
Deviation
24%
12
Required:
a. What is the standard deviation of your portfolio?
b. What is the proportion invested in the money market fund and each of the two risky funds?
Complete this question by entering your answers in the tabs below.
Required A
Required B
What is the standard deviation of your portfolio?
Note: Round your answer to 2 decimal places.
Standard deviation
12.00 %
< Required A
Required B >
Transcribed Image Text:Problem 7-9 (Algo) 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 thi is a money market fund that provides a safe return of 4%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 30% 19 The correlation between the fund returns is 0.13. You require that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepest feasible CAL. Standard Deviation 24% 12 Required: a. What is the standard deviation of your portfolio? b. What is the proportion invested in the money market fund and each of the two risky funds? Complete this question by entering your answers in the tabs below. Required A Required B What is the standard deviation of your portfolio? Note: Round your answer to 2 decimal places. Standard deviation 12.00 % < Required A Required B >
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