Light Construction Machinery Company has an expected ROE of 11%. The dividend growth rate will be _____ if the firm follows a policy of paying 25% of earnings in the form of dividends. a. 11% b. 9.0% c. 4.8% d. 3.0% e. 8.25%
Question
Light Construction Machinery Company has an expected ROE of 11%. The dividend growth rate will be _____ if the firm follows a policy of paying 25% of earnings in the form of dividends.
a. 11%
b. 9.0%
c. 4.8%
d. 3.0%
e. 8.25%
Solution
The correct answer is e. 8.25%.
Here's the step-by-step calculation:
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The dividend growth rate (g) can be calculated using the formula g = ROE * Retention Ratio, where ROE is the return on equity and the retention ratio is the proportion of earnings that is retained (not paid out as dividends).
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In this case, ROE = 11% = 0.11 and the retention ratio = 1 - Dividend Payout Ratio = 1 - 0.25 = 0.75.
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Plugging these values into the formula gives g = 0.11 * 0.75 = 0.0825 or 8.25%.
Therefore, if Light Construction Machinery Company follows a policy of paying 25% of earnings in the form
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