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19 June, 21:36

Hardwig Inc. is considering whether to pursue a restricted or relaxed current asset investment policy. The firm's annual sales are expected to total $3,600,000, its fixed assets turnover ratio equals 4.0, and its debt and common equity are each 50% of total assets. EBIT is $150,000, the interest rate on the firm's debt is 10%, and the tax rate is 25%. If the company follows a restricted policy, its total assets turnover will be 2.5. Under a relaxed policy its total assets turnover will be 2.2. Refer to the data for Hardwig, Inc. What's the difference in the projected ROEs under the restricted and relaxed policies

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  1. 19 June, 21:53
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    1.88%

    Explanation:

    total annual sales = $3,600,000

    EBIT = $150,000

    net income = $150,000 x (1 - 25%) = $112,500

    restricted policy:

    asset turnover = 2.5

    sales = $3,600,000

    EBIT = $150,000

    net income = $112,500

    assets = $3,600,000 / 2.5 = $1,440,000

    equity = $1,440,000 x 50% = $720,000

    ROE = $112,500 / $720,000 = 15.63%

    relaxed policy:

    asset turnover = 2.2

    sales = $3,600,000

    EBIT = $150,000

    net income = $112,500

    assets = $3,600,000 / 2.2 = $1,636,364

    equity = 50% x $1,636,364 = $818,182

    ROE = $112,500 / $818,182 = 13.75%

    difference between ROEs = 15.63% - 13.75% = 1.88%
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