Question
P9-5 After-Tax Cost of Debt. For each of the following $1,000 - par- value bonds, assuming annual interest payment and a 21% tax rate, calculate
P9-5 After-Tax Cost of Debt. For each of the following $1,000 - par- value bonds, assuming annual interest payment and a 21% tax rate, calculate the after-tax cost of debt.
Bond | Life (years) | Underwriting Fee | Discount (-) or Premium (+) | Coupon Interest Rate |
A | 20 | $25 | -$20 | 9% |
B | 16 | $40 | +$10 | 10% |
C | 15 | $30 | -$15 | 12% |
D | 25 | $15 | PAR | 9% |
E | 22 | $20 | -$60 | 11% |
Bond A
Net proceeds = ($1000 - $25 - $20) = $955.00
Interest = 1000 * 9% = 90.00
Interest payment = $90 (1 - 0.21) = $71.10
After tax cost of debt = $71.10 / $955 = 7.46%
Bond B
Net proceeds = ($1000 + $10 - $40) = $970.00
Interest = $1000 * 10% = $100.00
Interest payment = $100 (1 - 0.21) = $79.00
After tax cost of debt = $79 / $970 = 8.14%
Bond C
Net proceeds = ($1000 - $15 - $30 = $955
Interest = $1,000 * 12% = $120.00
Interest payment = $120 (1 - 0.21) = $94.80
After tax cost of debt = $94.80 / $955 = 9.94%
Bond D
Net proceeds = ($1,000 + $15 = $1,015.00
Interest = $1,000 * 9% = $90.00
Interest payment = $90 (1 - 0.21) = $71.10
After tax cost of debt = $71.10 / $1,015 = 7.01%
Bond E
Net proceeds = ($1,000 - $60 - $20 = $920.00
Interest = $1,000 * 11% = $110.00
Interest payment = $110 (1 - 0.21) = $86.90
After tax cost of debt = $86.90 / $920 = 9.45%
Am i correct? If not, can you please explain how to solve this question. Thank you in advance!
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