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 35% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 3%. Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below. Note: Round your "Expected Return" answers to 2 decimal places and "Variance" 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 Expected Return 11.00 % % % % % % + Variance 0.1225 Example

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 35% per year. Assume these values are representative of investors' expectations for future performance and that the current T-bill rate is 3%. Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below. Note: Round your "Expected Return" answers to 2 decimal places and "Variance" 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 Expected Return 11.00 % % % % % % + Variance 0.1225 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

Section: Chapter Questions

Problem 1PS

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Concept explainers

Risk and return

Before understanding the concept of Risk and Return in Financial Management, understanding the two-concept Risk and return individually is necessary.

Capital Asset Pricing Model

Capital asset pricing model, also known as CAPM, shows the relationship between the expected return of the investment and the market at risk. This concept is basically used particularly in the case of stocks or shares. It is also used across finance for pricing assets that have higher risk identity and for evaluating the expected returns for the assets given the risk of those assets and also the cost of capital.

Question

Manshukh

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 35% per year. Assume these
values are representative of investors' expectations for future performance and that the current T-bill rate is 3%.
Calculate the expected return and variance of portfolios invested in T-bills and the S&P 500 index with weights as shown below.
Note: Round your "Expected Return" answers to 2 decimal places and "Variance" 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
64
0.4
0.2
0.0
Expected Return
11.00 %
%
de
%
%
%
%
Variance
0.1225 Example

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