In: Finance
Nesmith Corporation's outstanding bonds have a $1,000 par value, a 7% semiannual coupon, 11 years to maturity, and an 11% YTM. What is the bond's price? Round your answer to the nearest cent.
Par/Face value | 1000 | |||||||||||||||||||||
Annual Coupon rate | 0.07 | |||||||||||||||||||||
Annual coupon | 70 | |||||||||||||||||||||
semi-annual coupon | 35 | |||||||||||||||||||||
Present Value = Future value/[(1+(r/m))^mt] | ||||||||||||||||||||||
r is the yield to maturity that is 11%. | ||||||||||||||||||||||
m is the compounding period that is 2 | ||||||||||||||||||||||
mt is the time period. | ||||||||||||||||||||||
price of the bond = sum of present values of future cash flows | ||||||||||||||||||||||
r/2 | 0.055 | |||||||||||||||||||||
mt | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 | 21 | 22 |
future cash flow | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 35 | 1035 |
present value | 33.17536 | 31.44583 | 29.80648 | 28.25259 | 26.7797 | 25.3836 | 24.06029 | 22.80596 | 21.61702 | 20.49007 | 19.42187 | 18.40935 | 17.44962 | 16.53993 | 15.67766 | 14.86034 | 14.08563 | 13.35131 | 12.65527 | 11.99551 | 11.37016 | 318.7031 |
sum of present values | 748.34 | |||||||||||||||||||||
The bond's price is $748.3. |