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Refer the table below on the average risk premium of the S&P 500 over T-bills and the standard deviation of that risk premium. Suppose that
Refer the table below on the average risk premium of the S&P 500 over T-bills and the standard deviation of that risk premium. Suppose that the S&P 500 is your risky portfolio Average Annual Returns S&P 500 Portfolio S&P 500 1-Month Risk Standard Sharpe Ratio Period Portfolio -ills Premium Deviation 1926-2015 11.77 3.47 8.30 20.59 0.40 2.66 8.13 1992-2015 10.79 18.29 0.44 18.20 1970-1991 12.87 7.54 5.33 0.29 1948-1969 14.14 2.70 11.44 17.67 0.65 27.99 1926-1947 9.25 0.91 8.33 0.30 a. If your risk-aversion coefficient is A 6.0 and you believe that the entire 1926-2015 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)-0.5x Ao2. (Do not round intermediate calculations. Round your answers to 2 decimal places.) T-bills % Equity % b. If your risk-aversion coefficient is A 6.0 and you believe that the entire 1970-1991 period is representative of future expected performance, what fraction of your portfolio should be allocated to T-bills and what fraction to equity? (Do not round intermediate calculations. Round your answers to 2 decimal places.) T-bills Equity %
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