A universe of securities includes a risky stock (X), a stock-index fund (M), and T-bills. The data for the universe are: Expected Return Std. Deviation X 15% 50% M 10% 20% T-bills 5% 0% The correlation coefficient between X and Mis 1 a) Draw the opportunity set of securities X and M. b) Find the optimal risky portfolio (O), its expected return, standard deviation, and Sharpe ratio. Compare with the Sharpe ratio of X and M. c) Find the slope of the CAL generated by T-bills and portfolio O. d) Suppose an investor places 2/9 (i.e., 22.22%) of the complete portfolio in the risky portfolio O and the remainder in T-bills. Calculate the composition of the complete portfolio, its expected return, SD, and Sharpe ratio. A universe of securities includes a risky stock (X), a stock-index fund (M), and T-bills. The data for the universe are: Expected Return Std. Deviation X 15% 50% M 10% 20% T-bills 5% 0% The correlation coefficient between X and Mis 1 a) Draw the opportunity set of securities X and M. b) Find the optimal risky portfolio (O), its expected return, standard deviation, and Sharpe ratio. Compare with the Sharpe ratio of X and M. c) Find the slope of the CAL generated by T-bills and portfolio O. d) Suppose an investor places 2/9 (i.e., 22.22%) of the complete portfolio in the risky portfolio O and the remainder in T-bills. Calculate the composition of the complete portfolio, its expected return, SD, and Sharpe ratio