Aloha Inc. has 4.5 percent coupon bonds on the market that have 7 years left to maturity. If the YTM on these bonds is 8.6 percent, what is the current bond price? The bond pays coupons twice a year.
Coupon Amount | 4.5 | ||||||||||||||||
Half yearly YTM | 8.6/2 | (Because the bond pays coupon twice a year) | |||||||||||||||
= | 4.3% | ||||||||||||||||
Half Year | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | |||
Coupon | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | |||
Face value | 100 | ||||||||||||||||
Cash Flows | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 4.5 | 104.5 | |||
Price | 4.5/(1+4.3%)^1 | 4.5/(1+4.3%)^2 | 4.5/(1+4.3%)^3 | …………………. | 104.5/(1+4.3%)^14 | ||||||||||||
P | = | 102.1 |
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