PackMan Corporation has semiannual bonds outstanding with nine years to maturity and the bonds are currently priced at $754.08. If the bonds have a coupon rate of 7.25 percent, what is the after-tax cost of debt for PackMan if its marginal tax rate is 30 percent.

8.23%

Explanation:

Since this bond pays semi-annual coupons, it means that the payments occur every 6 months; making it 2 periods per year. Using a Financial calculator; enter the following inputs. If using TI BA II plus, key in the number first, then the function.

Total duration; N = 9*2 = 18

Face Value; FV = 1,000 (use 1,000 if the value is not given)

Present value or price; PV = - 754.08

Semiannual Coupon Payment; PMT = Semiannual coupon rate * Face value

Semiannual Coupon Payment; PMT = (7.25%/2) * 1000 = 36.25

The Yield to maturity; YTM is the annual pretax I/Y which is the Pretax cost of debt in this case

therefore, CPT I/Y = 5.875% (note: semi-annual rate)

Next, convert the semiannual rate to annual rate i. e the YTM;

= 5.875%*2

Pretax cost of debt (YTM) = 11.75%

Aftertax cost of debt = Pretax cost of debt (1-tax)

= 0.1175% (1-0.30)

= 0.08225 or 8.23%