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French corp has an asset/equity ratio of 1.55. their current total asset turnover has recently fallen to 1.20, bringing their roe to 9.1%
a. what is this firms profit margin?
b. if the company were able to improve its total asset turnover to 1.8, what would be their new roe?

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Answer #1

a)profit margin is 7.5%

return on equity=profit margin*asset turn over

profit margin =return on equity/asset turnover

given

return on equity=9.1%

asset turnover=1.20

profit margin =0.091/1.20=0.075 or 7.5 %

note the figures are rounded

b) new ROE is 13.5%

return on equity=profit margin*asset turn over

profit margin=7.5%

asset turnover=1.80

return on equity=7.5%*1.8=13.5%

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