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 25% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. 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.) 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 Expected Return 0.1200 Variance 0.0625 Example

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
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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% more than the Treasury bill return and that the S&P 500 standard deviation has been about 25% per year. Assume these
values are representative of investors' expectations for future performance and that the current T-bill rate is 4%.
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.)
W Bills
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
Expected Return
0.1200
Variance
0.0625 Example
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 25% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 4%. 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.) W Bills 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 Expected Return 0.1200 Variance 0.0625 Example
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