Question
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 | ||||||||||||||||||
Period | S&P 500 Portfolio | 1-Month T-Bills | Risk Premium | Standard Deviation | Sharpe Ratio | ||||||||||||||
19262015 | 11.77 | 3.47 | 8.30 | 20.59 | 0.40 | ||||||||||||||
19922015 | 10.79 | 2.66 | 8.13 | 18.29 | 0.44 | ||||||||||||||
19701991 | 12.87 | 7.54 | 5.33 | 18.20 | 0.29 | ||||||||||||||
19481969 | 14.14 | 2.70 | 11.44 | 17.67 | 0.65 | ||||||||||||||
19261947 | 9.25 | 0.91 | 8.33 | 27.99 | 0.30 | ||||||||||||||
a. If your risk-aversion coefficient is A = 3.6 and you believe that the entire 19262015 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.)
T-bills= ___ %
Equity= ___ %
b. If your risk-aversion coefficient is A = 3.6 and you believe that the entire 19701991 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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