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2 July, 04:48

Last year Randolph Company had sales of $325,000 and a net income of $19,000, and its year-end assets were $250,000. The firm's total-debt-to-total-assets ratio was 45.0%. What was total assets turnover, what was equity multiplier, what was profit margin, and what was the ROE?

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  1. 2 July, 07:37
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    13.82%

    Explanation:

    Data provided in the question:

    Sales = $325,000

    Net income = $19,000

    Assets = $250,000

    Total-debt-to-total-assets ratio = 45.0% = 0.45

    Now,

    Total asset turnover = Sales : Total assets

    = $325,000 : $250,000

    = 1.3

    Profit margin = Net income : Sales

    = $19,000 : $325,000

    = 0.05846

    Equity multiplier = 1 : [ 1 - Debt to asset ratio]

    = 1 : [ 1 - 0.45 ]

    = 1.818

    thus,

    ROE = Profit margin * Total asset turnover * Equity multiplier

    = 0.05846 * 1.3 * 1.818

    = 0.1382

    or

    = 0.1382 * 100%

    = 13.82%
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