Answer:
Sustainable growth rate = 0.67148%
The firm maintains a constant ratio of liabilities to equity.
Explanation:
Sustainable growth rate = ROE *Plow back Ratio / (1-ROE * Plow back Ratio)
When ROE = Net Income / Total Assets
= $2,000,000/$300,000,000
= 0.00667
Plow back Ratio = 1 - (Dividend / Net Income)
= 1 - ($180,000/$2,000,000)
= 1 - 0.09
=0.91
Sustainable growth rate = ROE * Plow back Ratio / (1-ROE * Plow back Ratio)
= 0.00667 * 0.91 / (1 - 0.00667 * 0.91)
= 0.0060697 / 0.9039303
=0.0067148
= 0.67148%
Therefore, the sustainable growth rate is 0.67148%
The firm maintains a constant ratio of liabilities to equity is the correct assumption for the sustainable growth model.
