Question 1 ( 50 points): 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 vields a sure rate of 5.5%. The probability distributions of the risky funds are: The correlation between the fund returns is . 15 . 1. Tabulate and draw the investment opportunity set of the two risky funds. Use investment proportions for the stock fund of 0% to 100% in increments of 20%. What expected retum and standard deviation does your graph show for the minimum-variance portfolio? 2. What is the reward-to-volatility ratio of the best feasible CAL? 3. Suppose now that your portfolio must yield an expected retum of 12% and be efficient, that is, on the best feasible CAL. a. What is the standard deviation of your portfolio? b. What is the proportion invested in the T-bill fund and each of the two risky funds 4. If you were to use only the two risky funds and still require an expected return of 12%, what would be the investment proportions of your portfolio? Compare its standard deviation to that of the optimal portfolio in the previous problem. What do you conclude