Answer:
The YTM is 7.85%
Explanation:
Since 20 year bonds were issued 2 years ago,
Time to Maturity = 18 years
Coupon Rate = 8.9%
Lets assume that the par value of the bond is $100
The bonds make semi-annual payments,
Therefore, number of periods = 18 × 2 = 36
Semi-annual Coupon =( 8.9% × 100 ) / 2 = $4.45
Current Value of Bond = 110% of par value = 1.1 × 100 = $110
YTM is the discount rate which makes the present value of all the future cash flows equal to the current value of the bond, that is $110 , which means
110 = [tex]4.45/(1+r)^1[/tex] + [tex]4.45/(1+r)^2[/tex] + ... + [tex]4.45/(1+r)^{35[/tex] + [tex]104.45/(1+ r)^{36[/tex]
where, r is YTM/2
r = 3.927%
Therefore, YTM = 3.927 × 2 = 7.85%
