Question

Keller Cosmetics maintains an operating profit margin of 7% and asset turnover ratio of 4.

a. What is its ROA? (Enter your answer as a whole percent.)
b. If its debt-equity ratio is 1, its interest payments and taxes are each $8,200, and EBIT is $21,000, what is its ROE? (Do not round intermediate calculations. Enter your answer as a whole percent.)

Answer 1

a) 28%

b) 56%

Step-by-step explanation:

Data provided in the question:

Operating profit margin = 7%

Asset turnover ratio = 4

Now,

a) ROA = Profit margin × Asset turnover ratio

= 7% × 4

= 28%

b) Given:

Debt-equity ratio = 1

Interest payments = $8,200

Taxes = $8,200

EBIT = $21,000

Now,

Total assets = Net income ÷ ROA

Also,

Net income = EBIT - tax - interest

= $21,000 - $8,200 - $8,200

= $4,600

Thus,

Total assets = $4,600 ÷ 28%

= $16428.57

also,

Total assets = Debt + Equity

or

Total assets = Equity × (
`\frac{\textup{Debt}}{\textup{Equity}}+1` )

or

$16428.57 = Equity × ( 1 + 1 )

or

=> Equity = $8214.28

Therefore,

ROE = Net income ÷ Equity

= $4,600 ÷ $8214.28

= 56%