The following data apply to Problems 8-12. 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: page 184 The correlation between the fund returns is 0.15 . 8. 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 return and standard deviation does your graph show for the minimum-variance portfolio? (LO 6-2) 9. Draw a tangent from the risk-free rate to the opportunity set. What does your graph show for the expected return and standard deviation of the optimal risky portfolio? (LO 6-3) 10. What is the Sharpe ratio of the best feasible CAL? (LO 6-3) 11. Suppose now that your portfolio must yield an expected return of 12% and be efficient, that is, on the best feasible CAL. (LO 6-4) 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? 12. a. 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? b. Compare its standard deviation to that of the optimal portfolio in the previous problem. What do you conclude? (LO 6-4)