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 38% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is u = E(r) - 0.5 x Ao². (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.) WBills Windex U(A = 3) 0.0 1.0 0.2 0.8 0.4 0.6 0.6 0.4 0.8 0.2 1.0 0.0
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 38% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 5%. Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is u = E(r) - 0.5 x Ao². (Negative amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.) WBills Windex U(A = 3) 0.0 1.0 0.2 0.8 0.4 0.6 0.6 0.4 0.8 0.2 1.0 0.0
Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
Problem 1PS
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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 38% per year. Assume these
values are representative of investors' expectations for future performance and that the current T-bill rate is 5%.
Calculate the utility levels of each portfolio for an investor with A = 3. Assume the utility function is u = E(r) - 0.5 x Ao². (Negative
amounts should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 4 decimal places.)
WBills
Windex
U(A = 3)
0.0
1.0
0.2
0.8
0.4
0.6
0.6
0.4
0.8
0.2
1.0
0.0
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