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 8%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 20% 12 Standard Deviation 30% 15 The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 14%, 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? 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 0.15%

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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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 8%. The characteristics of the risky funds are as follows:
Stock fund (S)
Bond fund (B)
Expected
Return
20%
12
Standard
Deviation
30%
15
The correlation between the fund returns is 0.10.
You require that your portfolio yield an expected return of 14%, 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?
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
0.15%
Transcribed Image Text: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 8%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 20% 12 Standard Deviation 30% 15 The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 14%, 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? 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 0.15%
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