Question

Klose Outfitters Inc. believes that its optimal capital structure consists of 60 percent common equity and 40 percent debt, and its tax rate is 40 percent. Klose must raise additional capital to fund its upcoming expansion. The firm will have $2 million of new retained earnings with a cost of rs = 12%. New common stock in an amount up to $6 million would have a cost of re = 15%. Furthermore, klose can raise up to $3 million of debt at an interest rate of rd = 10% and an additional $4 million of debt at rd = 12%. The cfo estimates that a proposed expansion would require an investment of $5.9 million. What is the WACC for the last dollar raised to complete the expansion?

Answer 1

Answer:

WACC 10.38305%

Explanation:

First we solve for the source of financing:

Expansion: 5,900,000

60% Equity: 3,540,000

Retained Earnins 2,000,000

then 1,540,000 will be common equity

40% debt: 2,360,000 It can raise up to 3,000,000 so it will be sufficient

D  2,360

E  1,540

RE 2000

V  5,900

Now we can solve for Weighted average cost of capital

$WACC = K_e(\frac{E}{E+RE+D}) + K_{re}(\frac{P}{E+RE+D}) + K_d(1-t)(\frac{D}{E+RE+D})$

Ke 0.15

Equity weight 0.261016949 (1,540,000 / 5,900,000)

Kre 0.12

RE Weight  0,338983  (2,000,000 / 5,900,000)

Kd 0.1

Debt Weight 0.4 ( 2,360,000 / 5,900,000)

t 0.4

$WACC = 0.15(0.261016949152542) + 0.12(0.338983050847458) + 0.1(1-0.4)(0.4)$

WACC 10.38305%