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Hi I am having trouble with this question, i would like to know how to solve it

ID: 2772703 • Letter: H

Question

Hi I am having trouble with this question, i would like to know how to solve it though. Could you please show the steps and a little explanation. Thank you! and I will leave positive feedback!

Folgers Air Transport (FAT) is currently an unlevered firm. It is considering a capital restructuring to allow $200 in perpetual debt. The company expects to generate perpetual EBIT of $151.52. (Assume that depreciation equals capital expenditures and there are no additions to working capital.) The corporate tax rate is 34% and the pre-tax cost of debt will be 10%. Unlevered firms in the same industry have a cost of equity capital of 20%. Compute the value of FAT after the restructuring. Ignore any costs of financial distress and assume that interest tax shields are discounted at the pre-tax cost of debt.

Explanation / Answer

Value of equity of unlevered firm = EBIT * (1 - tax rate) / cost of equity

= $151.52 * (1 - 34%) / 20%

= $500.02

After restructuring, WACC = [$500.02 * 20% + $200 * 10% * (1 - 34%)] / $700.02

= 16.17%

Value of firm after restructuring = [(EBIT - Interest) * (1 - tax rate) + Interest] / WACC

= [($151.52 - 10% * $200) * (1 - 34%) + 10% * $200] / 16.17%

= $660.50