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Consider historial data showing that the average annual rate of return on the S&P500 portfolio over the past 85 years has averaged roughly 8% more

Consider historial data showing that the average annual rate of return on the S&P500 portfolio over the past 85 years has averaged roughly 8% more than the Treasury bill return and that the S&P500 standard deviation has been about 19.6% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5.3% Calcuate the expected return, variance and utility levels of each portfolio, for an investor with A=2 invested in T-bills and the S&P500 index with weights given in the table below

Weight bills Weight index
0 1
0.2 0.8
0.4 0.6
0.6 0.4
0.8 0.2
1 0

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