a
Expected return of Portfolio = Weight of Stock fund*Expected return of Stock fund+Weight of Bond fund*Expected return of Bond fund |
12 = 15*Weight of Stock fund+9*(1-weight of Stock fund) |
Weight of Stock fund = 0.5 = 50% |
Weight of Bond fund =1-weight of Stock fund=1-0.5=0.5 = 50% |
b
Variance | =( w2A*σ2(RA) + w2B*σ2(RB) + 2*(wA)*(wB)*Cor(RA, RB)*σ(RA)*σ(RB)) |
Variance | =0.5^2*0.32^2+0.5^2*0.23^2+2*0.5*0.5*0.32*0.23*0.15 |
Variance | 0.04435 |
Standard deviation= | (variance)^0.5 |
Standard deviation= | 21.06% |
A pension fund manager is considering three mutual funds. The first is a stock fund, the...
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 Standard Deviation Stock fund (S) 15 % 32 % Bond fund (B) 9 % 23 % The correlation between the fund returns is 0.15. a. What would be the...
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 Deviation Stock fund (S) Bond fund (B) 15% 9% 32% 22% The correlation between the fund returns is 0.15. a. What would be the investment proportions of your...
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 (5) Bond fund (B) The correlation between the fund returns is 0.15 Solve numerically for the proportions of each asset and for the expected...
Poforlio and fund management Question 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|Standard Deviation Stock fund (S) 15% 32% Bond fund (B) 23 9 The correlation between the fund returns is .15. Tabulate and draw the investment...
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) Bond fund (B) 168 45% 7 39 The correlation between the fund returns is 0.15. Solve numerically for the proportions of each asset...
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: Standard Deviation Stock fund (5) Bond fund (B) Expected Return 15% 9% The correlation between the fund returns is 15. What is the expected return and standard deviation for the minimum...
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 15% 9% Standard Deviation 32% 23% The correlation between the fund returns is .15. What is the expected return and standard deviation for...
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 20% Standard Deviation 30% 15 Stock fund (5) Bond fund (B) 12 The correlation between the fund returns is 0.10. a-1. What are the investment proportions in the...
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 21% 12 Standard Deviation 288 18 Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.09. a-1. What are the investment proportions in the...
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 24% 12 Standard Deviation 30% 19 Stock fund (S) Bond fund (B) The correlation between the fund returns is 0.13. a-1. What are the investment proportions in the...