Question

In: Finance

Co. wishes to maintain a growth rate of 11 percent a year, adebt–equity ratio of...

Co. wishes to maintain a growth rate of 11 percent a year, a debt–equity ratio of 1.7, and a dividend payout ratio of 30 percent. The ratio of total assets to sales is constant at 0.7.

What profit margin must the firm achieve? (in %) (round 4 decimals)

Solutions

Expert Solution

Growth Rate = ROE * Retention Ratio

0.11 = ROE * (1-0.30)

ROE = 0.11 / 0.70

ROE = 15.71%

Equity Multiplier = 1+ Debt Equity Ratio

= 1 + 1.7

= 2.7

Total Assets Turnover Ratio 0.70

As per Du Pont Analysis


ROE = Profit Margin * Assets Turnover Ratio * Equity multiplier

= 15.71% * 0.70 * 2.7

= 29.69%


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