Principles of Corporate Finance
Principles of Corporate Finance
13th Edition
ISBN: 9781260465099
Author: BREALEY, Richard
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 32PS

Constant-growth DCF formula The constant-growth DCF formula:

P 0 = DIV 1 r g

is sometimes written as:

P 0 = ROE ( 1 b ) BVPS r b ROE

where BVPS is book equity value per share, b is the plowback ratio, and ROE is the ratio of earnings per share to BVPS. Use this equation to show how the price-to-book ratio varies as ROE changes. What is price-to-book when ROE = r?

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