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1 June, 01:41

Duffert Industries has total assets of $1,080,000 and total current liabilities (consisting only of accounts payable and accruals) of $100,000. Duffert finances using only long-term debt and common equity. The interest rate on its debt is 7% and its tax rate is 40%. The firm's basic earning power ratio is 15% and its debt-to capital rate is 40%. What are Duffert's ROE and ROIC? Do not round your intermediate calculations.

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  1. 1 June, 03:02
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    ROIC is 9.26%

    ROE is 12.63%

    Explanation:

    According to the given data we have the following:

    Total assets = $1,080,000

    Total liabilities = Current liabilities + Debt + Common equity = $1,080,000

    D / (D + E) = 0.40

    D / ($1,080,000 - 100,000) = 0.40

    D = $392,000

    Common equity = Total liabilities - Current liabilities - Debt = $1,080,000 - 100,000 - 392,000 = $588,000

    BEP = 0.15 = EBIT/TA

    = EBIT/$1,080,000

    Therefore, EBIT = $162,000

    In order to calculate the ROIC we would have to make the following calculation:

    ROIC = [EBIT (1 - T) ] / (D + E) = [$151,200 (0.6) ] / ($392,000 + $588,000) = 9.26%

    ROIC is 9.26%

    To calculate the ROE we would have to calculate first net income from income statement as follows:

    EBIT=$151,200

    Less: Interest ($392,000 x 7%) 27,440

    EBT = 123,760

    Less: Tax 40% 49,504

    Net Income = 74,256

    Therefore, ROE = NI/E = $74,256/$588,000 = 12.63%

    ROE is 12.63%
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