F Mining has $6 million in sales, its ROE is 20%, and its total assets turnover is 3.2x. The company has 40% equity financed (i.e., equity multiplier is 2.5). What is its net income? (DuPont analysis)

$0.15 million

Explanation:

The formula for ROE can be used as a stepping stone to determining the value of net income:

ROE=Profit margin*Total asset turnover*Equity multiplier

ROE is 20%

total asset turnover is 3.2

equity multiplier is 2.5

20%=profit margin*3.2*2.5

20%=profit margin*8

profit margin=20%/8=2.5%

The formula for profit margin can now be used to determine net income.

profit margin=net income/sales

2.5%=net income/$6 million

net income=$6 million*2.5%

net income=$0.15 million

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