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Consider historical data showing that the average annual rate of return on the S&P 5 0 0 portfolio over the past 8 5 years has

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 29% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 2%.
Calculate the utility levels of each portfolio for an investor with A =2. Assume the utility function is U = E(r)0.5\times A\sigma 2.

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