Question #24
Reading: Reading 20 Discounted Dividend Valuation
PDF File: Reading 20 Discounted Dividend Valuation.pdf
Page: 12
Status: Correct
Correct Answer: A
Part of Context Group: Q24-27
First in Group
Shared Context
Question
Calculate the value of a share of Jakzach equity on 31 December 20x6, using the Gordon growth dividend model and the capital asset pricing model.
Answer Choices:
A. $20.00
B. $22.40
C. $211.68
Explanation
The value of a share of Jakzach equity using the Gordon growth model and the capital
asset pricing model is $22.40.
The value is calculated as follows:
Calculate the required rate of return using the capital asset pricing model.
r
= Rf + beta × (E(Rm) – Rf)
Rf
= 4.0%
E(Rm) = 9.0%
Beta
= 1.8
r
= 4.0% + 1.8 × (9.0% – 4.0%)
r
= 13.0%
Calculate the share value using the Gordon growth model.
D0 = $0.20
g
= 12.0%
r
= 13.0%
V0
= (D0 × (1 + g)) / (r – g)
V0
= ($0.20 × (1 + 0.12)) / (0.13 – 0.12)
V0
= $22.40
Professor's Note: You are given the dividend per share ($0.20) in Exhibit 4, but you are
also given total dividends in millions of $ ($3.20). It would have been very easy to mistake
total dividends for dividends per share and arrive at the wrong answer.