Refer the table below on the average excess return of the U.S. equity market and the standard deviation of that excess return. Suppose that the U.S. market is your risky portfolio. Average Annual Returns U.S. Equity Market Period U.S. equity 1-Month T-Bills Excess return Standard Deviation Sharpe Ratio 19272018 11.77 3.38 8.34 20.36 0.41 19271949 9.40 0.92 8.49 26.83 0.32 19501972 14.00 3.14 10.86 17.46 0.62 19731995 13.38 7.26 6.11 18.43 0.33 19962018 10.10 2.21 7.89 18.39 0.43

a. If your risk-aversion coefficient is A = 5.9 and you believe that the entire 19272018 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? Assume your utility function is U = E(r) 0.5 A2. (Do not round intermediate calculations. Round your answers to 2 decimal places.)

b. If your risk-aversion coefficient is A = 5.9 and you believe that the entire 19731995 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity?