Question 13.2: By using the yield to maturity on DuPont’s debt, we found th...

By using the yield to maturity on DuPont’s debt, we found that its pretax cost of debt is 2.81 %. If DuPont’s tax rate is 35%, what is its effective cost of debt?

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PLAN
We can use Eq. 13.3 to calculate DuPont’s effective cost of debt:
r_D = 0.0281 (pretax cost of debt)
T_C = 0.35 (corporate tax rate)

r_D(1-T_c)         (13.3)

EXECUTE
DuPont’s effective cost of debt is 0.0281 (1 – 0.35 ) = 0.01827 = 1.827%.

EVALUATE
For every new $1000 it borrows, DuPont would pay its bondholders 0.0281 ($1000) = $28.10 in interest every year. Because it can deduct that $28.10 in interest from its income, every dollar in interest saves DuPont 35 cents in taxes, so the interest tax deduction reduces the firm’s tax payment to the government by 0.35 ($28.10) = $9.83. Thus, DuPont’s net cost of debt is the $28.10 it pays minus the $9.83 in reduced tax payments, which is $18.27 per $1000 or 1.827%.

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