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 21% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is U = E(r) - 0.5 × Ao². (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.) WBills 0.0 0.2 0.4 0.6 0.8 1.0 Windex 1.0 0.8 0.6 0.4 0.2 0.0 U(A = 3)

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Chapter6: Risk And Return
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Mansukh 

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 21% per year.
Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%.
Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is U = E(r) 0.5 × Ag².
(Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4
decimal places.)
WBills
0.0
0.2
0.4
0.6
0.8
1.0
Windex
1.0
0.8
0.6
0.4
0.2
0.0
U(A = 3)
Transcribed Image Text: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 21% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is U = E(r) 0.5 × Ag². (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.) WBills 0.0 0.2 0.4 0.6 0.8 1.0 Windex 1.0 0.8 0.6 0.4 0.2 0.0 U(A = 3)
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