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If a company has an Return on Assets of 10 percent a 2 percent profit margin and a return on equity equal to 15 percent what is the company's total assets turnover and the equity multiplier?


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Answered 2007-07-31 06:19:04

Company's Total Assets Turnover Ratio is 5 and Equity multiplier is 1.5 times which is cal. as Net Sales/Total Assets and Total Assets/ Shareholder's equity resp. for the two ratios.

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A company has an ROA of 10 percent a 2 percent profit margin and a return on equity equal to 15 percent. What is the companys total asset turnover and what is the firm's equity multiplier?

Given: ROA = 10%, Profit margin = 2%, ROE = 15% ROA = Profit margin x Asset Turnover Therefore, Asset Turnover = ROA / Profit margin = 10 / 2 = 5% ROE = Profit margin x Asset Turnover x Equity multiplier 15 = 2 x 5 x Equity Multiplier 15 / 10 = Equity Multiplier Equity Multiplier = 1.05


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Equity Multiplier ROA*Equity Multiplier=ROE so, (10%)*(x)=(15%), therefore, Equity Multiplier=15%/10%= 1.5 times Total Asset Turnover Profit Margin*Total Asset Turnover = ROA, so (2%)*(x)=10%, therefore Total Asset Turnover=10%/2%= 5 times


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