Question #27
Reading: Reading 20 Discounted Dividend Valuation
PDF File: Reading 20 Discounted Dividend Valuation.pdf
Page: 13
Status: Incorrect
Correct Answer: A
Your Answer: B
Part of Context Group: Q26-27
Shared Context
Question
Calculate the sustainable growth rate of Jakzach on 31 December 20x6. Note: Your calculations should use 20x6 beginning-of-year balance sheet values.
Answer Choices:
A. 1%
B. 9%
C. 10%
Explanation
The sustainable growth rate of Jakzach is 9.97%, calculated as follows:
g = b × ROE = earnings retention rate × ROE
= (1 – payout ratio) × ROE
= (1 – dividends / net income) × (net income / beginning equity)
= (1 – ($3.20 / $30.16)) × ($30.16 / $270.35)
= 0.0997
g = 9.97%
Using DuPont model results from above and per share data provided in question:
Payout ratio = $0.20 / $1.89= 10.58%
ROE
= 10.03% × 0.56 × 2.00 = 11.23%
g
= (1 – 0.1058) × 11.23% = 10.04%
g
= 10.04%