Essentials of Corporate Finance
Essentials of Corporate Finance
8th Edition
ISBN: 9780078034756
Author: Stephen A. Ross, Randolph W. Westerfield, Bradford D. Jordan
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 13, Problem 20QP

Business and Financial Risk. Assume a firm’s debt is risk-free, so that the cost of debt equals the risk-free rate, Rf Define βA as the firm’s asset beta–that is, the systematic risk of the firm’s assets. Define βE to be the beta of the firm’s equity. Use the capital asset pricing model (CAPM) along with M&M Proposition II to show that β E = β A × ( 1 + D / E ) , where D / E is the debt–equity ratio. Assume the tax rate is zero.

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