If a company has a return on equity of 25% and wants a growth rate of 10%, how much of ROE should be retained? A. 40% B. 50% C. 60% D. 70%
Question
If a company has a return on equity of 25% and wants a growth rate of 10%, how much of ROE should be retained?
A. 40%
B. 50%
C. 60%
D. 70%
Solution
To determine how much of the return on equity (ROE) should be retained, we need to calculate the retention ratio. The retention ratio is the percentage of earnings that a company chooses to reinvest back into the business for growth purposes.
The formula to calculate the retention ratio is:
Retention Ratio = 1 - (Dividends / Net Income)
In this case, since we want a growth rate of 10%, the retention ratio can be calculated as follows:
Retention Ratio = 1 - (0.10 / 0.25) Retention Ratio = 1 - 0.40 Retention Ratio = 0.60
Therefore, the company should retain 60% of its return on equity.
So, the correct answer is C. 60%.
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