Question

Company BFM has several bond issues outstanding, each making semiannual interest payments. The bonds are listed below. If the corporate tax rate is 15%, what is the aftertax cost of debt?

Bond Coupon Rate Price Quote Maturity Face Value
1 7.5% 105.0 5 years $20,000,000
2 5.8 95.4 8 years 40,000,000
3 7.7 103.8 15 1/2 years 45,000,000
4 8.1 105.7 25 years 60,000,000

Answer 1

bond 1:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {750,000 + [(20,000,000 - 21,000,000) / 10]} / [(20,000,000 + 21,000,000) / 2]

YTM = 650,000 / 20,500,000 = 3.17 x 2 = 6.34%

after tax cost of debt = 6.34% x (1 - 15%) = 5.39%

bond 2:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {1,160,000 + [(40,000,000 - 38,160,000) / 16]} / [(40,000,000 + 38,160,000) / 2]

YTM = 1,275,000 / 39,080,000 = 3.26 x 2 = 6.53%

after tax cost of debt = 6.53% x (1 - 15%) = 5.55%

bond 3:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {1,732,500 + [(45,000,000 - 46,710,000) / 31]} / [(45,000,000 + 46,710,000) / 2]

YTM = 1,677,339 / 45,855,000 = 3.66 x 2 = 7.32%

after tax cost of debt = 7.32% x (1 - 15%) = 6.22%

bond 4:

YTM = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

YTM = {2,430,000 + [(60,000,000 - 63,420,000) / 50]} / [(60,000,000 + 63,420,000) / 2]

YTM = 2,361,600 / 61,710,000 = 3.83 x 2 = 7.65%

after tax cost of debt = 7.65% x (1 - 15%) = 6.51%