A company has determined that its optimal capital structure consists of 40 percent debt and 60 percent equity. Given the following information, calculate the marginal weighted average cost of capital when the capital budget is $40,000. k(d) (interest rate on the firm's new date) = 10%
Net income = $40,000 -
Payout ratio = 50%
Tax rate = 40%
P(0) = $25 -
Growth = 0%
Shares outstanding = 10,000 Flotation cost on additional equity = 15%
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A. B. C. D. E.C
First, find the amount of equity and debt needed for a $40,000 budget:
Debt = 0.4 x $40,000 = $16,000; Equity = 0.6 x $40,000 = $24,000.
We can find the amount of retained earnings = Net Income(1 - Payout ratio), or RE = $40,000 x 0.5 = $20,000.
We will need to find the cost of new common equity, because we have only $20,000 of equity on hand, and we need $4,000 more!
Find the dividend, Do = [(0.5) $40,000]/# of Shares = $20,000/10,000 = $2.00.
Then, find the cost of new equity: k(e) = D1/[P0(1 - F)] + g = $2.00/[$25(1 - 0.15)] + 0% = 0.0941 = 9.41%.
Finally, calculate WACC, using k(e) = 0.0941, and k(d) = 0.10, so
WACC = (D/A)(1 - Tax rate)k(d) + (E/A)k(e)
WACC = 0.4(1 - 0.4)(0.10) + 0.6(0.0941) = 0.0805, or 8.05%.