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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%

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 28% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 6%. 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 "0" wherever required.)

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\begin{tabular}{|r|r|l|l|} \hline \multicolumn{1}{|c|}{ W Bills} & \multicolumn{1}{c|}{ Index } & Expected Return & Variance \\ \hline 0.0 & 1.0 & 0.1400 & 0.0784 Example \\ \hline 0.2 & 0.8 & & \\ \hline 0.4 & 0.6 & & \\ \hline 0.6 & 0.4 & & \\ \hline 0.8 & 0.2 & & \\ \hline 1.0 & 0.0 & & \\ \hline \end{tabular}

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