Question: please show work Consider historical data showing that the average annual return on the S&P 500 portfolio over the past 80 years have averaged roughly

 please show work Consider historical data showing that the average annual

please show work

Consider historical data showing that the average annual return on the S&P 500 portfolio over the past 80 years have averaged roughly 8.5% more than the T-bill return and that the S&P 500 standard deviation has been about 20% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5% Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as follows and also calculate the utility levels for each of the portfolio for an investor with A = 3. Assume the utility function is U-E(r)-0.5 >

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