a) ABC Inc. borrows money at 9%, sells bonds at 6%, and the purchasers of common stock require 12% rate of return. If the company has borrowed $40 million, sold $60 million in bonds, and sold $100 million worth of common stocks, what is the Weighted Average Cost of Capital (WACC)?
b) If the same company from the previous question used 6% ROR for loans, 7% ROR for bonds, and 13% ROR for stocks, and also used a 50% tax rate, what is the WACC?
a.The following is the calculation of WACC:
source | amount | weight | cost | weight * cost |
borrowing | $40 m | (40/200)=>0.20 | 9% | 1.8% |
bonds | $60 m | (60/200)=>0.30 | 6% | 1.8% |
common stock | $100 m | (100/200)=>0.50 | 12% | 6.0% |
total | $200 m | 9.60% |
b.
since the tax rate is 50%.
after tax cost of borrowing = before tax cost *(1 - tax rate)
=>6% *(1-0.50)
=>3%
after tax cost of bonds = 7% * (1-0.50) =>3.50%
source | amount | weight | cost | weight * cost |
borrowing | $40 m | (40/200)=>0.20 | 3% | 0.6% |
bonds | $60 m | (60/200)=>0.30 | 3.5% | 1.05% |
common stock | $100 m | (100/200)=>0.50 | 13% | 6.5% |
total | $200 m | 8.15% |
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