Explanation:
The correct answer is C (64%).
According to the Gordon growth model, the dividend payout ratio (p) can be derived using the formula:
p=Forward P/E×(r−g)
Where:
- r = Required rate of return (12%)
- g = Dividend growth rate (4%)
Substituting the given values:
p=8×(0.12−0.04)=8×0.08=0.64=64%
Why the other options are incorrect:
- A (8%): This incorrectly equates the dividend payout ratio to the dividend yield (1r−g), resulting in 8%.
- B (33%): This miscalculates the dividend payout ratio as the dividend growth rate divided by the required rate of return (rg), yielding approximately 33%.