A pension fund manager is considering three mutual funds. The first is a stock fund, thelong-term government and corporate bond fund, and the third is a T-billrate of 4.6%. The probability distribution of the twosecond is amoney market fund that yields arisky funds is as follows:ExpectedReturnStandard DeviationStock fund (SBond fund (B36%30%16%7%The correlation between the two fund returns is 0.16.Compute the proportions of stock fund and bond fund of the optimal risky portfolio, andcalculate the expected return and standard deviation of the optimal risky portfolio.Assume that short sales of mutual funds are allowed. (Do not round intermediatecalculations. Enter your answer as a percentage rounded to two decimal places.)Proportion invested in the stockfund%Proportion invested in the bondfund%Expected returnStandard deviation

Let the Stock Fund be Security A and Bond Fund be security BCalculation of Covariance of security…

Answered: A pension fund manager is considering…

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 7%. The characteristics of the risky funds are as follows: Expected Return Standard. Deviation Stock fund (S) 32% Bond fund (B) 19 The correlation between the fund returns is 0.11. 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. 22% 12
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 9%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 17 % 30 % Bond fund (B) 11 22 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. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.)
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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 9%. The characteristics of the risky funds are as follows: Stock fund (S) Bond fund (B) Expected Return 19% 12 Standard Deviation 32% 15 The correlation between the fund returns is 0.11. 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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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: Expected Return Standard Deviation Stock fund (5) 19 % 34% Bond fund (8) 10 18 The correlation between the fund returns is 0.11. Solve numerically for the proportions of each asset and for the expected return and standard deviation of the optimal risky portfolio.

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