Suppose that the S&P 500, with a beta of 1.0, has an expected return of 12% and T-bills provide a risk-free return of 3% a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of                          Expected Return                     Beta (i) 0 (ii) 0.25 (iii) 0.50 (iv) 0.75 (v) 1.0 (Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.) b. How does expected return vary with beta? (Do not round intermediate calculations.) Fill in the bolded part The expected return (increases/decrease) by (  %) for a one unit increase in beta.

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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Suppose that the S&P 500, with a beta of 1.0, has an expected return of 12% and T-bills provide a risk-free return of 3%

a. What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P 500 of

                         Expected Return                     Beta

(i) 0

(ii) 0.25

(iii) 0.50

(iv) 0.75

(v) 1.0

(Leave no cells blank - be certain to enter "0" wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to 2 decimal places and value of Beta rounded to 2 decimal places.)

b. How does expected return vary with beta? (Do not round intermediate calculations.)

Fill in the bolded part

The expected return (increases/decrease) by (  %) for a one unit increase in beta.

Expert Solution
Step 1

Given 

  • Expected return of S&P=12%
  • S&P 500 beta=1.0
  • T-bills' risk-free return=3%
  • T-bill's beta=0

Expected return of portfolio=WeightS&P×ReturnS&P+WeightT-Bill×ReturnT-Bill

Beta of portfolio=WeightS&P×BetaS&P+WeightT-Bill×BetaT-Bill

 

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