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 (5) Bond fund (B) Expected Standard Return 30% Deviation 20% 12 15 The correlation between the fund returns is 0.10. 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. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation
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 (5) Bond fund (B) Expected Standard Return 30% Deviation 20% 12 15 The correlation between the fund returns is 0.10. 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. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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 (5)
Bond fund (B)
Expected Standard
Return
30%
Deviation
20%
12
15
The correlation between the fund returns is 0.10.
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.
Portfolio invested in the stock
Portfolio invested in the bond
Expected return
Standard deviation](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe69d0e66-fce5-4d23-bc15-7f18e301dc21%2Fe0c6f64d-83b2-4153-99ad-1a05c30bde84%2Fann8km4_processed.jpeg&w=3840&q=75)
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 (5)
Bond fund (B)
Expected Standard
Return
30%
Deviation
20%
12
15
The correlation between the fund returns is 0.10.
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.
Portfolio invested in the stock
Portfolio invested in the bond
Expected return
Standard deviation
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