Given the following information, what is the firm’s weighted average cost of capital? Market value of equity = $30 million; market value of debt = $30 million; cost of equity = 15%. The firm’s bond issue sells for $1075. The coupon rate is 7%, the bonds mature in 20 years, and interest is paid annually. The tax rate is 40%
A) 9.4%
B) 10.6%
C) 11%
D) 15%
E) 22%
We will use a BA 2 plus financial calculator to calculate the YTM of the bond-
N(maturity)= 20
PMT(Coupon) = 70
PV(Price) = 1075
FV (face value) = 1000
CMPT I/Y
YTM = 6.3286%
On the basis of market value, total capital is equal to $60 million
Weight of equity=MV of equity/total capital = 0.5
Weight of debt=MV of debt/total capital = 0.5
After tax cost of debt= 6.3286%(1-0.4) = 3.797%
WACC = (0.5*3.797%) + (0.5*15%)
= 9.3985% or 9.4%
Hence, Option A is the answer.
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