The correct answer is C. 13.05%.
The growth retention model is a formula that calculates the rate of growth of a company’s earnings per share (EPS). The formula is:
$g = r \times (1 – b)$
where:
- $g$ is the rate of growth of EPS
- $r$ is the return on equity
- $b$ is the retention ratio
In this case, $r = 12.5\%$ and $b = 0.55$. Substituting these values into the formula, we get:
$g = 12.5\% \times (1 – 0.55) = 13.05\%$
Therefore, the growth retention model would be 13.05%.
Option A is incorrect because it is the rate of return on equity, not the rate of growth of EPS. Option B is incorrect because it is the rate of return on assets, not the rate of growth of EPS. Option D is incorrect because it is the rate of return on invested capital, not the rate of growth of EPS.