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 Stock fund (S) 15% Bond fund (B) 9% The correlation between the fund returns is 0.15. Required: 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.) 40% 31%
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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: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.25. Expected Return 17% 11% Expected return Standard deviation Required: 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.) % Standard Deviation 32% 23%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: Stock fund (S) Bond fund (8) The correlation between the fund returns is 0.10. Expected Return 16% 10% Expected return Standard deviation. Required: 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.) 1% % Standard Deviation 32% 23%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 4.2%. The probability distributions of the risky funds are: Expected return Standard Expected Return 12% 5% Stock fund (S) Bond fund (B) The correlation between the fund returns is .0308. 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.) deviation Standard Deviation 33% 26% 11.21 28.63 %
- 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: Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.25. Expected Return 17% 11% Required: 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.) X Answer is complete but not entirely correct. Expected return Standard deviation 14.67 X % 23.83 % Standard Deviation 38% 29%You plan to invest in either a mutual fund X or mutual fund Y. The following information about the annual return (%) of each of these investments under different demand levels is available, along with the probability that each of these states of nature will OCcur: Demand Probability Fund X Fund Y High 0.4 30% 25% Medium 0.4 22% 34% low 0.2 17% 25% a) Compute expected return, standard deviation for each investment and covariance of the mutual fund X and mutual fund Y. b) Would you invest in the mutual fund X or Y? Explain. c) If you chose to invest in mutual fund X and the state of nature turns up to be the low demand, what do you think about the possibility of the opportunity loss of 8% in comparison to investing in mutual fund Y?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 5.9%. The probability distribution of the risky funds is as follows: Stock fund (5) Bond fund (8) Expected Return 20% The correlation between the fund returns is 0.19 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.) Portfollo invested in the stock Portfolio invested in the bond Expected retur Standard deviation % Standard Deviation 49% 41 %
- 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%.A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a song-serm government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 5%. The probability distributions of the risky funds are: Standard Deviation Expected Return 17% 24% 14% 10% Stock Fund (S) Bond Fund (B) The correlation between the fund returns is -0.2 ) Calculate the following variables: Risk Premium of stock Fund Risk Premium of Bond Fund Variance of Stock Fund Variance of Bond Fund Covariance between Stock Fund and Bond Fund Write down the formulas you used to complete the table above a b. Tabulate the investment opportunities set of the two risky funds. Use investment proportions for the stock fund of 0% to 100% in increments of 10%. From these options identify the portfolios closest to the minimum variance and optimal portfolios (do not use formulas)? Explain how to identify them. E(R₂) W₁ 0% 10% 20% 30% 40% 50% 60% 70% 80% 90%…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 6%. The probability distribution of the risky funds is as follows: E(r) st. dev. stock fund .24 .33 bond fund .14 .22 The correlation between the fund returns is 0.14. You require that your portfolio yield an expected return of 16%, 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.)
- 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: Stock fund (S) Bond fund (B) 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. a. What is the standard deviation of your portfolio? (Round your answer to 2 decimal places.) Standard deviation Expected Return Standard Deviation 198 31% 23 14 Money market fund Stocks Bonds 19.33 % 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.) Proportion InvestedA 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 5.0%. The probability distributions of the risky funds are: Stock fund (S) Bond fund (B) Expected Return 11% 6% Expected Standard deviation The correlation between the fund returns is 0.0500. 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.) Standard Deviation 40% 20% % %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% 40% Bond fund (B) 9% 31% The correlation between the fund returns is 0.15. 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.)