Question 3 (21 Marks) The fund research team of Fountain Asset Management Group is evaluating three mutual funds. Precisely, the Buttercup equity fund (E), the Alpine long-term government and corporate bond fund (B), and the Treasury bill (T-bill) money market fund that yields a rate of 5%. The probability distribution of Buttercup equity fund (E), and the Alpine bond fund (B) is as follows: The correlation coefficient between the fund returns is 0.35. a. What are the investment proportions of the two risky funds, i.e. Buttercup equity fund (E), and the Alpine bond fund (B), in the minimum-variance portfolio? 5marks b. Calculate the expected rate of return and standard deviation of the minimumvariance portfolio. 5marks c. What are the proportions of each asset, and the expected return and standard deviation of the optimal risky portfolio? 8marks d. What is the Sharpe ratio of the best feasible CAL? 3marks Show all your calculations