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 18% 09% Standard Deviation 27% 17% The correlation between the fund returns is 0.10. After constructing the optimal risky portfolio, you offer this risky portfolio to a client with a degree of risk aversion A = 3.1, assuming a utility function U = E(r) - 12A02. What proportion, y, of your client's complete portfolio should be invested in your fund? (Do not round intermediate calculations. Input your final answer as a percent, rounded to 2 decimal places i.e. 20.20%)

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 18% 09% Standard Deviation 27% 17% The correlation between the fund returns is 0.10. After constructing the optimal risky portfolio, you offer this risky portfolio to a client with a degree of risk aversion A = 3.1, assuming a utility function U = E(r) - 12A02. What proportion, y, of your client's complete portfolio should be invested in your fund? (Do not round intermediate calculations. Input your final answer as a percent, rounded to 2 decimal places i.e. 20.20%)

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

Section: Chapter Questions

Problem 8FPE

See similar textbooks

Similar questions

Suppose that the return for a particular large-cap stock fund is normally distributed with a mean of 14.4% and standard deviation of 4.4%. a. What is the probability that the large-cap stock fund has a return of at least 20%? b. What is the probability that the large-cap stock fund has a return of 10% or less?
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) 23% 28% Bond fund (B) 15 17 The correlation between the fund returns is 0.12. You require that your portfolio yield an expected return of 13%, and that it be efficient, that is, on the steepest feasible CAL. Required: What is the standard deviation of your portfolio? What is the proportion invested in the money market fund and each of the two risky funds?
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 6%. The characteristics of the risky funds are as follows: Expected Return Standard Deviation Stock fund (S) 17 % 38 % Bond fund (B) 12 17 The correlation between the fund returns is 0.13. You require that your portfolio yield an expected return of 11%, and that it be efficient, that is, on the steepest feasible CAL. b. What is the proportion invested in the money market fund and each of the two risky funds?
A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long term bond, and the third is a money fund that provides a safe return of 7%. The stock fund has an expected return of 19% and a standard deviation of 31%. The bond fund has an expected return of 14% and a standard deviation of 23%. The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 16%, and that it be efficient, that is, on the steepest feasible CAL. What is the proportion invested in the money market fund and each of the two risky funds (rounded to 2 decimal places)? Proportion Invested: Money Market Fund = ?% Stocks = ?% Bonds = ?%
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) 20% 30% Bond fund (b) 12 15 The correlation between the fund returns is .10. What are the investment proportions in the minimum-variance portfolio of the two risky funds, and what is the expected value and standard deviation of its rate of return?
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 4%. The probability distribution of the risky funds is as follows: Expected return Standard Deviation Stock fund 22% 37% Bond Fund 14 23 The correlation between the fund returns is 0.10. You require that your portfolio yield an expected return of 15%, and that it be efficient, on the best feasible CAL. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) b. What is the proportion invested in the T-bill fund and each of the two risky funds? (Round your answers to 2 decimal places.) T-bill fund stock fund bond fund
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.
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 4.5%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 15% 35% Bond fund (B) 6% 29% The correlation between the fund returns is .0517. What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds? (Do not round intermediate calculations. Round your answers to 2 decimal places.)
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?
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 Stock fund (S) 19 % 34 % Bond fund (B) 10 18 The correlation between the fund returns is 0.11. You require that your portfolio yield an expected return of 12%, and that it be efficient, that is, on the steepest feasible CAL. The standard deviation of your portfolio is 15.21% What is the proportion invested in the money market fund and each of the two risky funds? (Round your answers to 2 decimal places.) Proportion Invested Money market fund % Stocks % Bonds %
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 19% 34% Bond Fund 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. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) Protifolio invested in stock Protifolio invested in 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 government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 5.5%. 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. Required:a. What is the standard deviation of your portfolio? What is the proportion invested in the T-bill fund? What is the proportion invested in each of the two risky funds? Proportion Invested Stocks % Bonds %