In: Finance
| Solution:- | ||||||
| Annual coupon rate | =10% | |||||
| Yield to maturity | =8% | |||||
| Time to mature | = 8 years | |||||
| Face value of the bond | = $1000 | |||||
| Semi annual interest | =($1000*10%)/2 | |||||
| =$50 | ||||||
| Numbers of payment peroids (n) | =16 | |||||
| Semi annual YTM | =4% | |||||
| Current price of the bond | ||||||
| =Semi annual interest*PVIFA(4%,16)+Maturity value of bond*PVIF(4%,16) | ||||||
| =50*11.6523+1000*0.533908 | ||||||
| =582.615+533.908 | ||||||
| =$1,116.523 | ||||||
| Calcluation of Present value factor @ | 4% | |||||
| Years | PVF | |||||
| 1 | 0.961538 | |||||
| 2 | 0.924556 | |||||
| 3 | 0.888996 | |||||
| 4 | 0.854804 | |||||
| 5 | 0.821927 | |||||
| 6 | 0.790315 | |||||
| 7 | 0.759918 | |||||
| 8 | 0.73069 | |||||
| 9 | 0.702587 | |||||
| 10 | 0.675564 | |||||
| 11 | 0.649581 | |||||
| 12 | 0.624597 | |||||
| 13 | 0.600574 | |||||
| 14 | 0.577475 | |||||
| 15 | 0.555265 | |||||
| 16 | 0.533908 | |||||
| Total | 11.6523 | |||||
| Please feel free to ask if you have any query in the comment section. | ||||||