Question

A firm has a net profit/pretax profit ratio of .6, a leverage ratio of 1.5, a pretax profit/EBIT of .7, an asset turnover ratio of 4, a current ratio of 2, and a return-on-sales ratio of 6%. Its ROE is _________.
A. 15.12%
B. 20.16%
C. 30.24%
D. 7.56%

Answer 1

Answer:

The answer is A.15.12%.

Explanation:

Please find the below for explanation and calculations:

We have EBIT = Pretax profit /0.7 = Net profit / (0.6 x 0.7) = 0.42 x Net Profit

=> Net profit / Sales = Profit margin =  0.42 x EBIT/ Sales = 0.42 x Return-on-sales = 2.52%;

Leverage ratio = Asset/ Equity = 1.5;

Sales / Asset = asset turn over ratio = 4;

Apply the Dupont model we have:

Return on Equity = Leverage ratio x Profit Margin x Leverage ratio = 2.52% x 1.5 x 4 = 15.12%.

Thus, the answer is A. 15.12%.