Assume that the following one-factor macroeconomic model describes the expected return for portfolios:           Also assume that all investors agree on the expected returns and factor sensitivity of the three highly diversified Portfolios A, B, and C given in the following table: Portfolio Expected Return Factor Sensitivity A 0.09 0.50 B 0.13 0.75 C 0.17 1.50 If the model and the table are both correct, determine whether or not an arbitrage opportunity exists.  If not, why not?  If so, explain how to exploit it.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter8: Analysis Of Risk And Return
Section: Chapter Questions
Problem 6P
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  1. Assume that the following one-factor macroeconomic model describes the expected return for portfolios:          

    Also assume that all investors agree on the expected returns and factor sensitivity of the three highly diversified Portfolios A, B, and C given in the following table:

Portfolio

Expected Return

Factor Sensitivity

A

0.09

0.50

B

0.13

0.75

C

0.17

1.50


If the model and the table are both correct, determine whether or not an arbitrage opportunity exists.  If not, why not?  If so, explain how to exploit it.

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