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 12% 5% Standard Deviation 33% 26% 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.)
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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 4%. The characteristics of the risky funds are as follows: Stock fund (S) Exp. Return Bond fund (B) 0.43 15% O 1.00 0.70 11% The correlation between the fund returns is 0.2. Solve numerically for the Sharpe Ratio of the optimal risky portfolio. 0.66 Std. Deviation 0.85 26% 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 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 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 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%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% 12A 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 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 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.)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) Stocks Bonds Expected Return 15% 9% The correlation between the fund returns is 015. 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%? Investment Proportions Standard deviation. Standard Deviation 32% 23% % b. Calculate the standard deviation of the portfolio which yields an expected return of 12% (Do not round intermediate calculations. Round your answer 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 5.5%. The probability distributions of the risky funds are: Stock fund (S) Bond fund (B) Expected Return decimal places.) Sharpe ratio 15% 9% Standard Deviation 32% 23% The correlation between the fund returns is.15. What is the Sharpe ratio of the best feasible CAL? (Do not round intermediate calculations. Round your answer to 4A 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.) S 40% 31%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 17% Standard Deviation 38% 13 18 The correlation between the fund returns is 0.12. Required: a-1. What are the investment proportions in the minimum-variance portfolio of the two risky funds? a-2. What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Complete this question by entering your answers in the tabs below. Req A1 Req A2 What are the expected value and standard deviation of the minimum-variance portfolio rate of return? Note: Do not round intermediate calculations. Enter your answers as decimals rounded to 4 places. Expected return Standard deviation