This is “Cost of Debt”, section 12.2 from the book Finance for Managers (v. 0.1).
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The cost of long-term debt, rd, is the after-tax cost of raising long-term funds through borrowing. The important cost is our marginal debt costThe cost for the next issue of debt. which is the next dollar of debt. If we were to issue another dollar (an additional dollar) of debt, how much would it cost us? The cost of new issuance of debt will probably not be the same as other debt we have issued in the past (our historical debt costThe cost for debt the company issed in the past.), as we will need to satisfy the current market demand.
There are a few methods to calculate the cost of debt. We are looking for the yield to maturity (YTM), since this is the most accurate gauge of market demand. How do we figure out the yield to maturity? If we have outstanding debt of an appropriate maturity, we can assume the YTM on this debt to be our cost.
If our company, however, has no publicly traded debt, we could look to the market to see what the yield is for other publicly traded debt of similar companies. Or, if we are completely using bank financing, we can simply ask the bank to provide us with an estimated rate.
Equation 12.1 Pre-Tax Cost of DebtComponent Cost of Debt = rd
Since interest payments made on debt (the coupon payments paid) are tax deductible by the firm, the interest expense paid on debt reduces the overall tax liability for the company, effectively lowering our cost. To calculate the real cost of debt we take out the tax liability.
Equation 12.2 After-Tax Cost of DebtAfter-Tax Component Cost of Debt = rd − (rd × T) = rd × (1 − T)
Here, rd is the before tax return and T is the corporate tax rate.
Falcons Footwear is a company that produces sneakers for children. Each sneaker has a black and red falcon head on it. Their marginal tax rate is 40%, and the have $100 million notional, 30 year bonds with a 7% coupon. The bonds currently sell for par. What’s the after tax cost of debt?
Since the bonds are selling for par, we know that the YTM equals the coupon rate of 7%.After-Tax Cost of Debt for Falcon Footwear = 0.07 × (1 − 0.4) = 0.042 or 4.2%
The debt component has important considerations.