Hi tech products has 35,000 bonds outstanding that are currently quoted at 102.3. the bonds mature in 11 years and carry a 9 percent annual coupon.
what is the firm’s after-tax cost of debt if the applicable tax rate is 35%?

a) 4.47% b) 4.79% c) 5.63% d) 5.98% e) 6.31%

C) 5.63%

Explanation:

First we have to find the pretax cost of debt of the firm in order to find it's after tax cost of debt.

We know the price of the bond is $102.3, its future value or par value is $100, the  number of periods are 11 as it is annual coupon bond with a maturity of 11 years and the coupon payment each year is (0.09*100)= $9. We can input these values in a financial calculator to find the bonds ytm or cost of debt.

PV= 102.3

FV= -100

PMT=-9

N= 11

Compute I = 8.66

The pretax cost of debt is 8.66%

Now in order to calculate the after tax cost of debt we will use the formula

Pretax cost of debt *(1-tax rate)

=0.0866*(1-0.35)=0.05629= 5.629% rounded of to 5.63%

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