In: Finance
A corporate bond matures in 14 years. The bond has an 8 percent coupon and a par value of $1,000. Interest is paid semiannually. The bond is priced to yeild 6.0%. What is the bond's current price? Hint: Should it be above or below the face value?
Group of answer choices
$987.52
$1,006.57
$1,187.64
$1,199.35
$1,212.24
Statement showing price of bond: | ||||
( In case of semi annual bond, yield= 6/2=3%, Coupon rate=8/2=4%, Years=14*2=28 | ||||
Particulars | Time | PVf @3% | Amount | PV |
Cash Flows (Interest) | 1.00 | 0.9709 | 40.00 | 38.83 |
Cash Flows (Interest) | 2.00 | 0.9426 | 40.00 | 37.70 |
Cash Flows (Interest) | 3.00 | 0.9151 | 40.00 | 36.61 |
Cash Flows (Interest) | 4.00 | 0.8885 | 40.00 | 35.54 |
Cash Flows (Interest) | 5.00 | 0.8626 | 40.00 | 34.50 |
Cash Flows (Interest) | 6.00 | 0.8375 | 40.00 | 33.50 |
Cash Flows (Interest) | 7.00 | 0.8131 | 40.00 | 32.52 |
Cash Flows (Interest) | 8.00 | 0.7894 | 40.00 | 31.58 |
Cash Flows (Interest) | 9.00 | 0.7664 | 40.00 | 30.66 |
Cash Flows (Interest) | 10.00 | 0.7441 | 40.00 | 29.76 |
Cash Flows (Interest) | 11.00 | 0.7224 | 40.00 | 28.90 |
Cash Flows (Interest) | 12.00 | 0.7014 | 40.00 | 28.06 |
Cash Flows (Interest) | 13.00 | 0.6810 | 40.00 | 27.24 |
Cash Flows (Interest) | 14.00 | 0.6611 | 40.00 | 26.44 |
Cash Flows (Interest) | 15.00 | 0.6419 | 40.00 | 25.67 |
Cash Flows (Interest) | 16.00 | 0.6232 | 40.00 | 24.93 |
Cash Flows (Interest) | 17.00 | 0.6050 | 40.00 | 24.20 |
Cash Flows (Interest) | 18.00 | 0.5874 | 40.00 | 23.50 |
Cash Flows (Interest) | 19.00 | 0.5703 | 40.00 | 22.81 |
Cash Flows (Interest) | 20.00 | 0.5537 | 40.00 | 22.15 |
Cash Flows (Interest) | 21.00 | 0.5375 | 40.00 | 21.50 |
Cash Flows (Interest) | 22.00 | 0.5219 | 40.00 | 20.88 |
Cash Flows (Interest) | 23.00 | 0.5067 | 40.00 | 20.27 |
Cash Flows (Interest) | 24.00 | 0.4919 | 40.00 | 19.68 |
Cash Flows (Interest) | 25.00 | 0.4776 | 40.00 | 19.10 |
Cash Flows (Interest) | 26.00 | 0.4637 | 40.00 | 18.55 |
Cash Flows (Interest) | 27.00 | 0.4502 | 40.00 | 18.01 |
Cash Flows (Interest) | 28.00 | 0.4371 | 40.00 | 17.48 |
Cash flows (Maturity Amount) | 28.00 | 0.4371 | 1,000.00 | 437.10 |
Fair Price | 1,187.64 | |||
So correct answer is $1187.64 |