In: Finance
12. What is the semi-annual coupon bond’s nominal yield to maturity (YTM), if the years to maturity is 15 years, and sells for 119% with coupons rate of 10%? Assume the par value of the bond is $1,000.
13. The current price of a 10-year, $1,000 par value bond is $1,158.91. Interest on this bond is paid every six months, and the nominal annual yield is 14 percent. Given these facts, what is the annual coupon rate on this bond?
Q12. | ||||||
Par value of bond | 1000 | |||||
Market value of bonds (1000*119%) | 1190 | |||||
Semi annual cash interest (1000*10%*6/12) | 50 | |||||
PVf at 3.91% for 30 periods | 0.316431 | |||||
Annuity for 30 periods at 3.91% | 17.48257 | |||||
Present value of maturity | 316.431 | |||||
Present value of interest | 874.1285 | |||||
Total Issue price | 1190.5 | |||||
Therefore. | ||||||
Semi annual yield to maturity: 3.91% | ||||||
Q13. | ||||||
Par value of bonds | 1000 | |||||
Market value of bonds | 1158.91 | |||||
Semi annual cash interest be | x | |||||
PVF at 7% for 20 periods | 0.258419 | |||||
Annuity PVF at 7% for 20 perriods | 10.59401 | |||||
Present value of maturity | 258.419 | |||||
Present value of interest | 10.59401 x | |||||
issue price | 258.42 + 10.59401x | |||||
As per question | ||||||
258.42+ 10.59401 x= 1158.91 | ||||||
x= 85 | ||||||
Semi annual interest = 85 | ||||||
Annual interest = 85*2 = 170 | ||||||
Annual coupon rate = 170/1000*100 = 17% | ||||||