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please show work Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has

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Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 37% per year Assume these values are representative of investors' expectations for future performance and that the current Tbilitate is 5% Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below (Enter your answers as decimals rounded to 4 places. Leave no cells blank. be certain to enter "o" wherever required) Windex WBills 0.0 0.2 0.4 1.0 0.8 0.6 Answer is complete and correct. Expected Return Variance 0.1300 0.1369 Example 0.1140 0.0876 0.0980 0.0499 0.0820 0.0219 0.0660 0.0055 0.0500 0 0.6 0.8 10 0.4 0.2 OOOO asoo 00 Consider historical data showing that the average annual rate of return on the S&P 500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P 500 standard deviation has been about 35% per year Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 3%. Calculate the utility levels of each portfolio for an investor with A-3. Assume the utility function is U-89-05 A0% (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.) Windex 10 U(A = 3) WBills 0.0 0.2 0.4 0.6 0.8 1.0 08 0.6 0.4 0.2 00

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