At the beginning of the year, an investor buys 1,000 shares of XYZ stock, purchased at $33 per share. Subsequently, the stock ri
1 answer:
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Answer:
a) 28%
b) 56%
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 × (
)
or
$16428.57 = Equity × ( 1 + 1 )
or
=> Equity = $8214.28
Therefore,
ROE = Net income ÷ Equity
= $4,600 ÷ $8214.28
= 56%