Explanation
The Gordon growth model formula is:
V0=r−gD1
Where:
- V0 is the current stock value (
$92).
- D1 is the next year's dividend, calculated as D0×(1+g).
- r is the required return.
- g is the dividend growth rate (4%).
To solve for r, rearrange the formula:
r=V0D1+g
Substitute the given values:
D1=4×(1+0.04)=4.16
r=924.16+0.04=0.0452+0.04=0.0852 or 8.52%
Why the other options are incorrect:
- Option A (8.35%): Incorrectly uses D0 instead of D1.
- Option C (9.44%): Incorrectly uses E0 (current EPS) instead of D1.