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3 May, 09:11

New Doors Corp. has $375,000 of total assets, and it uses $187,500 of total shareholder's equity capital. Its sales for the last year were $520,000, and its net income was $25,000. Stockholders recently voted in a new management team that has promised to lower costs and get the return on equity (ROE) up to 15.0%. What profit margin (PM) would the firm need in order to achieve the 15% ROE, holding everything else constant?

a. 5.41%

b. 8.11%

c. 9.41%

d. 10.71%

e. 12.66%

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  1. 3 May, 10:54
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    Profit margin (PM) the firm needs in order to achieve the 15% ROE: a. 5.41%

    Explanation:

    The profit margin reflects a company's overall ability to turn income into profit, is calculated by formula:

    Profit margin = Net income/Net sales

    The return on equity (ROE) is calculated by following formula:

    ROE = Net income/shareholder's equity

    New Doors Corp. uses $187,500 of total shareholder's equity capital and gets the return on equity (ROE) up to 15.0%

    Net income = ROE x Shareholder's equity = 15.0% x $187,500 = $28,125

    Profit margin = $28,125/$520,000 = 0.0541 = 5.41%
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