In: Finance
Madsen Motors's bonds have 19 years remaining to maturity. Interest is paid annually; they have a $1,000 par value; the coupon interest rate is 8.5%; and the yield to maturity is 12%. What is the bond's current market price? Round your answer to the nearest cent.
Calculation of price of bond: | ||||
Particulars | Time | PVf @12% | Amount | PV |
Cash Flows (Interest) | 1.00 | 0.8929 | 85.00 | 75.89 |
Cash Flows (Interest) | 2.00 | 0.7972 | 85.00 | 67.76 |
Cash Flows (Interest) | 3.00 | 0.7118 | 85.00 | 60.50 |
Cash Flows (Interest) | 4.00 | 0.6355 | 85.00 | 54.02 |
Cash Flows (Interest) | 5.00 | 0.5674 | 85.00 | 48.23 |
Cash Flows (Interest) | 6.00 | 0.5066 | 85.00 | 43.06 |
Cash Flows (Interest) | 7.00 | 0.4523 | 85.00 | 38.45 |
Cash Flows (Interest) | 8.00 | 0.4039 | 85.00 | 34.33 |
Cash Flows (Interest) | 9.00 | 0.3606 | 85.00 | 30.65 |
Cash Flows (Interest) | 10.00 | 0.3220 | 85.00 | 27.37 |
Cash Flows (Interest) | 11.00 | 0.2875 | 85.00 | 24.44 |
Cash Flows (Interest) | 12.00 | 0.2567 | 85.00 | 21.82 |
Cash Flows (Interest) | 13.00 | 0.2292 | 85.00 | 19.48 |
Cash Flows (Interest) | 14.00 | 0.2046 | 85.00 | 17.39 |
Cash Flows (Interest) | 15.00 | 0.1827 | 85.00 | 15.53 |
Cash Flows (Interest) | 16.00 | 0.1631 | 85.00 | 13.87 |
Cash Flows (Interest) | 17.00 | 0.1456 | 85.00 | 12.38 |
Cash Flows (Interest) | 18.00 | 0.1300 | 85.00 | 11.05 |
Cash Flows (Interest) | 19.00 | 0.1161 | 85.00 | 9.87 |
Cash flows (Maturity Amount) | 19.00 | 0.1161 | 1,000.00 | 116.10 |
Fair Price | 742.19 | |||
Price of bond is $742.19 |