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. |