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13 December, 20:18

Rogue Drafting has debt with a market value of $450,000, preferred stock with a market value of $150,000, and common stock with a market value of $350,000. If debt has a cost of 8%, preferred stock a cost of 10%, common stock a cost of 12%, and the firm has a tax rate of 30%, what is the WACC?

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  1. 13 December, 20:21
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    the WACC is 8.65%.

    Explanation:

    Total firm capital = $450,000 + $150,000 + $350,000

    = $950,000

    Weight of debt in the capital structure = $450,000 / $950,000

    = 47.37%

    Weight of preferred stock in the capital structure

    = $150,000 / $950,000

    = 15.79%

    Weight of common stock in the capital structure

    = $350,000 / $950,000

    = 36.84%

    The weighted average cost of capital is calculated using the below formula:

    WACC = Wd*Kd (1 - t) + Wps*Kps + We*Ke

    where:

    Wd = Percentage of debt in the capital structure.

    Kd = The before tax cost of debt

    Wps = Percentage of preferred stock in the capital structure

    Kps = Cost of preferred stock

    We = Percentage of common stock in the capital structure

    Ke = The cost of common stock

    T = Tax rate

    WACC = 47.37%*8% * (1 - 0.30) + 0.1579*10% + 36.84%*12%

    = 2.65272% + 1.5790% + 4.4208%

    = 8.65252%

    Therefore, the WACC is 8.65%.
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