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: Stock fund (S) Bond fund (B) Expected Return 16% 12 Standard Deviation 38% 21 The correlation between the fund returns is 0.12. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.

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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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:
Stock fund (S)
Bond fund (B)
Expected
Return
16%
12
Standard
Deviation
38%
21
The correlation between the fund returns is 0.12.
Portfolio invested in the stock
Portfolio invested in the bond
Expected return
Standard deviation
Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.
Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
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 7%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 16% 12 Standard Deviation 38% 21 The correlation between the fund returns is 0.12. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio. Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.
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