The correct answer is C because the justified forward P/E ratio is calculated as:
Justified P/E=r−gp
where:
- p is the dividend payout ratio (40%).
- r is the required rate of return (15%).
- g is the sustainable growth rate, calculated as g=b×ROE, where b is the retention ratio (1 - dividend payout ratio = 60%) and ROE is 20%.
Thus, g=0.60×20%=12%.
Substituting the values:
Justified P/E=0.15−0.120.40=13.3
The closest option is C (13).
Why not A or B?
- A incorrectly uses the dividend payout ratio instead of the retention ratio to calculate g, leading to an incorrect P/E of 5.7.
- B incorrectly uses the difference between ROE and the required rate of return in the denominator, resulting in a P/E of 8.0.