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 4%. The characteristics of the risky funds are as follows Expected Return Standard Deviation 231 14 291 17 Stock fund (8) Bond fund (8) The correlation between the fund returns is 0.12. You require that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepest feasible CAL a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places) Standard deviation b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.) Money market fund Stocks Bonds Proportion Invested

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 4%. The characteristics of the risky funds are as follows Expected Return Standard Deviation 231 14 291 17 Stock fund (8) Bond fund (8) The correlation between the fund returns is 0.12. You require that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepest feasible CAL a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places) Standard deviation b. What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.) Money market fund Stocks Bonds Proportion Invested

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 government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5.5%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 15 % 32 % Bond fund (B) 9 % 23 % The correlation between the fund returns is 0.15. a. What would be the investment proportions of your portfolio if you were limited to only the stock and bond funds and the portfolio has to yield an expected return of 12%?
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 8%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 16% 32% Bond fund (B) 10% 23% The correlation between the fund returns is 0.20. Suppose now that your portfolio must yield an expected return of 13% and be efficient, that is, on the best feasible CAL. What is the standard deviation of your portfolio? b-1. What is the proportion invested in the T-bill fund? b-2. What is the proportion invested in each of the two risky funds?
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