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Stop and Go has a 5 percent profit margin and a 41 percent dividend payout ratio. The total asset
turnover is 1.60 and the debt-equity ratio is .55. What is the sustainable rate of growth (under
constant debt/equity)?6.82 Percent
Solution
Retention ratio = 1 -dividend payout ratio
= 1- .41
= .59
weight of equity = 1 / (1+.55) = 1/1.55 = .6452
equity multiplier =asset /equity
= 1/ .6452
= 1.55
Return on equity (ROE)= profit margin *asset turnover * equity multiplier
= .05 * 1.6 * 1.55
= .124 or 12.4%
Growth =ROE *Retention ratio
= 12.4 * .59
= .0731 or 7.32%
correct option is "E" - 7.89% [approx to 7.32%]

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Stop and Go has a 5 percent profit margin and a 41 percent dividend .pdf

  • 1. Stop and Go has a 5 percent profit margin and a 41 percent dividend payout ratio. The total asset turnover is 1.60 and the debt-equity ratio is .55. What is the sustainable rate of growth (under constant debt/equity)?6.82 Percent Solution Retention ratio = 1 -dividend payout ratio = 1- .41 = .59 weight of equity = 1 / (1+.55) = 1/1.55 = .6452 equity multiplier =asset /equity = 1/ .6452 = 1.55 Return on equity (ROE)= profit margin *asset turnover * equity multiplier = .05 * 1.6 * 1.55 = .124 or 12.4% Growth =ROE *Retention ratio = 12.4 * .59 = .0731 or 7.32% correct option is "E" - 7.89% [approx to 7.32%]