Corporate Finance: Instructor\'s Manual Applied Corporate Finance

(Amelia) #1
Aswath Damodaran 327

Estimating Cost of Debt


Start with the current market value of the firm = 55 , 101 + 14668 = $ 69 , 769 mil
D/(D+E) 0. 00 % 10. 00 % Debt to capital
D/E 0. 00 % 11. 11 % D/E = 10 / 90 =. 1111
$ Debt $ 0 $ 6 , 977 10 % of $ 69 , 769

EBITDA $ 3 , 882 $ 3 , 882 Same as 0 % debt
Depreciation $ 1 , 077 $ 1 , 077 Same as 0 % debt
EBIT$ 2 , 805 $ 2 , 805 Same as 0 % debt
Interest $ 0 $ 303 Pre-tax cost of debt * $ Debt

Pre-tax Int. cov " 9. 24 EBIT/ Interest Expenses
Likely Rating AAA AAA From Ratings table
Pre-tax cost of debt 4. 35 % 4. 35 % Riskless Rate + Spread

This is a manual computation of the cost of debt. Note the circularity in the


argument, since the interest expense is needed to compute the rating, and the


rating is needed to compute the cost of debt.


To get around the circularity, I start the 10% debt ratio calculation assuming that


my cost of debt is the same as it was at 0% (which is 4.35%). I could have even


started with the long term treasury bond rate, but I would have had to do one


additional iteration to get the costs of debt consistent.


We assume that whatever is borrowed is used to buy back equity, and that the


operating assets of the firm remain unchanged (EBITDA and EBIT don’t


change...). This allows us to isolate the effect of the recapitalization.

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