In: Finance
Otobo, Inc., has a bond outstanding with a coupon rate of 5.0 percent and semiannual payments. The yield to maturity is 9.9 percent and the bond matures in 14 years. What is the market price if the bond has a par value of $6000?
Statement showing price of bond when interest paid semi annually: | ||||
(In case of semi annual bond, yield= 9.9/2= 4.95%, coupon=5/2= 2.5%, time to maturity= 14*2=28) | ||||
Particulars | Time | PVf @4.95% | Amount | PV |
Cash Flows (Interest) | 1.00 | 0.9528 | 150.00 | 142.93 |
Cash Flows (Interest) | 2.00 | 0.9079 | 150.00 | 136.18 |
Cash Flows (Interest) | 3.00 | 0.8651 | 150.00 | 129.76 |
Cash Flows (Interest) | 4.00 | 0.8243 | 150.00 | 123.64 |
Cash Flows (Interest) | 5.00 | 0.7854 | 150.00 | 117.81 |
Cash Flows (Interest) | 6.00 | 0.7484 | 150.00 | 112.25 |
Cash Flows (Interest) | 7.00 | 0.7131 | 150.00 | 106.96 |
Cash Flows (Interest) | 8.00 | 0.6794 | 150.00 | 101.91 |
Cash Flows (Interest) | 9.00 | 0.6474 | 150.00 | 97.11 |
Cash Flows (Interest) | 10.00 | 0.6168 | 150.00 | 92.53 |
Cash Flows (Interest) | 11.00 | 0.5878 | 150.00 | 88.16 |
Cash Flows (Interest) | 12.00 | 0.5600 | 150.00 | 84.00 |
Cash Flows (Interest) | 13.00 | 0.5336 | 150.00 | 80.04 |
Cash Flows (Interest) | 14.00 | 0.5084 | 150.00 | 76.27 |
Cash Flows (Interest) | 15.00 | 0.4845 | 150.00 | 72.67 |
Cash Flows (Interest) | 16.00 | 0.4616 | 150.00 | 69.24 |
Cash Flows (Interest) | 17.00 | 0.4398 | 150.00 | 65.98 |
Cash Flows (Interest) | 18.00 | 0.4191 | 150.00 | 62.86 |
Cash Flows (Interest) | 19.00 | 0.3993 | 150.00 | 59.90 |
Cash Flows (Interest) | 20.00 | 0.3805 | 150.00 | 57.07 |
Cash Flows (Interest) | 21.00 | 0.3626 | 150.00 | 54.38 |
Cash Flows (Interest) | 22.00 | 0.3455 | 150.00 | 51.82 |
Cash Flows (Interest) | 23.00 | 0.3292 | 150.00 | 49.37 |
Cash Flows (Interest) | 24.00 | 0.3136 | 150.00 | 47.04 |
Cash Flows (Interest) | 25.00 | 0.2988 | 150.00 | 44.83 |
Cash Flows (Interest) | 26.00 | 0.2847 | 150.00 | 42.71 |
Cash Flows (Interest) | 27.00 | 0.2713 | 150.00 | 40.70 |
Cash Flows (Interest) | 28.00 | 0.2585 | 150.00 | 38.78 |
Cash flows (Maturity Amount) | 28.00 | 0.2585 | 6,000.00 | 1,551.00 |
3,797.91 | ||||
Price of bond is $3797.91 |