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…

EBK CONTEMPORARY FINANCIAL MANAGEMENT

14th Edition

ISBN:9781337514835

Author:MOYER

Publisher:MOYER

Chapter8: Analysis Of Risk And Return

Section: Chapter Questions

Problem 5P

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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 government and corporate bond fund, and the third is a T-bill money market fund that yields a rate of 5.4%. The probability distribution of the risky funds is as follows: Expected Return Standard Deviation Stock fund (S) 15% 44% Bond fund (B) 8 38 The correlation between the fund returns is 0.15.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 and round your final answers to 2 decimal places. Omit the "%" sign in your response.)
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. 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.) 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 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 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 sure rate of 3.5%. The proability distributionsof the risky funds are: Expected Return Standard Deviation Stock Fund (S) 23% 25% Bond Fund (B) 12% 18% *The correlation between the fund returns is .55.* What are the expected return, standard deviation, and sharpe ratio for the minimum-variance portfoilo of the two risky funds, and what would be the weights of the stock and bond fund for an optimal portfoilo?
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 20% 30% Bond Fund 12 15 The correlation between the fund returns is 0.10. Tabulate the investment opportunity set of the two risky funds. (Round your answers to 2 decimal places.) Proportion in Stock fund Proportion in bond fund Expexted return Standard deviation 0% 100% 20% 80% 40% 60% 60% 40% 80% 20% 100% 0%
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. a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds. (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places.) a-2. What is the expected value and standard deviation of its rate of return? (Do not round intermediate calculations. Enter your answers as decimals rounded to 4 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) 20% 30% Bond fund (b) 12 15 The correlation between the fund returns is .10.Tabulate and draw the investment opportunity set of the two risky funds. Use investment proportions for the stock fund of 0% to 100% in increments of 20%.
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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 ReturnStandard DeviationStock fund (S)17%32%Bond fund (B)11%23% The correlation between the fund returns is 0.25. Required: 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 and round your final answers to 2 decimal places.) PORTFOLIO INVESTED IN THE STOCKS PORTFOLIO INVESTED IN THE BONDS EXPECTED RETURN STANDARD DEVIATION PLEASE ANSWER ASAP.

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