Q4) 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 0.02 (2%). The probability distribution of the funds is as follows: Expected Return Standard Deviation 0.200 0.100 0.020 0.200 Stock fund (S) Bond fund (B) Risk-Free 0.400 0.150 Correlation a) Find the investment proportions in the minimum variance portfolio (MVP) of the two risk b) What portion of your wealth should go to S and B respectively to achieve the tangent c) asset (5 points) portfolio (i.e., the portfolio with highest Sharpe ratio) (5 points) Draw the minimum variance frontier and the efficient variance frontier (5 points) Q4) 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 0.02 (2%). The probability distribution of the funds is as follows: Expected Return Standard Deviation 0.200 0.100 0.020 0.200 Stock fund (S) Bond fund (B) Risk-Free 0.400 0.150 Correlation a) Find the investment proportions in the minimum variance portfolio (MVP) of the two risk b) What portion of your wealth should go to S and B respectively to achieve the tangent c) asset (5 points) portfolio (i.e., the portfolio with highest Sharpe ratio) (5 points) Draw the minimum variance frontier and the efficient variance frontier (5 points)