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12. What is the semi-annual coupon bond’s nominal yield to maturity (YTM), if the years to...

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?

Solutions

Expert Solution

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%

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