Required information [The following information applies to the questions displayed below] 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 (5) Bond fund (8) Expected Return 16% 10% The correlation between the fund returns is 0.10. 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.) Expected return Standard deviation 12.00% Standard Deviation 32% 2.3% %

! Required information [The following information applies to the questions displayed below.] 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 16% 10% Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.11. Portfolio invested in the stock Portfolio invested in the bond Expected return Standard deviation 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.) Standard Deviation 40% 31% % % % %

! Required information Section Break (8-11) [The following information applies to the questions displayed below.] 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 0.15. Problem 6-8 (Algo) Expected Return 15% 9% 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 36% 27%

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es Required information [The following information applies to the questions displayed below.] 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) 15% 9% Bond fund (B) The correlation between the fund returns is 0.15. Expected Return 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%

! Required information Section Break (8-11) [The following information applies to the questions displayed below.] 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 0.10. Problem 6-8 (Algo) Expected Return 16% 10% 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 12.07 X % 22.60 % Standard Deviation 36% 27%

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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 (5) Expected Return 16% 10% Bond fund (B) The correlation between the fund returns is 0.10. Standard Deviation 38% 29% Problem 6-11 (Algo) Suppose now that your portfollo 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? (Do not round Intermediate calculations. Round your answer 2 decimal places.) Standard deviation % 1 ง b-1. What is the proportion Invested in the T-bill fund? (Do not round Intermediate calculations. Round your ans to 2 decimal places.) Proportion invested in the T-bill fund % b-2. What is the proportion Invested in each of the two risky funds? (Do not round Intermediate…