Consider historical data showing that the average annual rate of return on the S&P 500 portfolio...

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Finance

Consider historical data showing that the average annual rate ofreturn on the S&P 500 portfolio over the past 85 years hasaveraged roughly 8% more than the Treasury bill return and that theS&P 500 standard deviation has been about 37% per year. Assumethese values are representative of investors' expectations forfuture performance and that the current T-bill rate is 5%.

Calculate the utility levels of each portfolio for an investorwith A = 2. Assume the utility function is U =E(r) ? 0.5 × A?2. (Donot round intermediate calculations. Round your answers to 4decimal places.)

WBills

WIndex

U(A = 2)

0.0

1.0

0.2

0.8

0.4

0.6

0.6

0.4

0.8

0.2

1.0

0.

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Consider historical data showing that the average annual rate ofreturn on the S&P 500 portfolio over the past 85 years hasaveraged roughly 8% more than the Treasury bill return and that theS&P 500 standard deviation has been about 37% per year. Assumethese values are representative of investors' expectations forfuture performance and that the current T-bill rate is 5%.Calculate the utility levels of each portfolio for an investorwith A = 2. Assume the utility function is U =E(r) ? 0.5 × A?2. (Donot round intermediate calculations. Round your answers to 4decimal places.)WBillsWIndexU(A = 2)0.01.00.20.80.40.60.60.40.80.21.00.

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