Question

Your company currently has par, coupon bonds with 10 years to maturity and a price of . If you want to issue new 10-year coupon bonds at par, what coupon rate do you need to set

Answer 1

Answer:

I looked for the missing numbers and found the following question:

Your company currently has $1,000 ​par, 6.5% coupon bonds with 10 years to maturity and a price of $1,078. If you want to issue new​ 10-year coupon bonds at​ par, what coupon rate do you need to​set? Assume that for both​ bonds, the next coupon payment is due in exactly six months.

We need to calculate the yield to maturity (YTM) of the current bonds. Since the bonds pay interests every 6 months, then the coupon = $32.50

YTM = {coupon + [(face value - market value)/n]}/[(face value + market value)/2]

YTM = {32.5 + [(1,000 - 1,078)/20]}/[(1,000 + 1,078)/2]

YTM = 28.6 / 1,039 = 0.275 x 2 = 5.5053% ≈ 5.51%

In order to sell the new bonds at par, the coupon rate must be 5.51%