Answer:
6.83%
Step-by-step explanation:
Given :
Profit margin = 4% = 0.04
Dividend payout ratio = 43% = 0.43
Asset turnover = 1.65
Debt to equity = .7
The retention rate is 1 - the payout ratio = 1 - 0.43 = 0.57
The sustainable growth rate is given by :
(ROE * Retention Rate) / (1 - (ROE * Retention Rate))
Return on Equity (ROE) :
Profit margin * Asset turnover * Equity multiplier
Equity ratio = debt to equity ratio + 1 = 0.7 + 1 = 1.7
= 0.04 * 1.65 * 1.7 = 0.1122
Sustainable growth rate :
(ROE * Retention Rate) / (1 - (ROE * Retention Rate))
(0.1122 * 0.57) / (1 - (0.1122 * 0.57))
0.063954 / 0.936046
= 0.0683235
= 6.83%