In: Finance
Your company currently has $ 1,000 par, 6.75 % coupon bonds with 10 years to maturity and a price of $ 1,076. 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.
The coupon rate that we need to set is the annual Yield to Maturity (YTM) of the Bond
Variables |
Financial Calculator Keys |
Figure |
Par Value/Face Value of the Bond [$1,000] |
FV |
1,000 |
Coupon Amount [$1,000 x 6.75% x ½] |
PMT |
33.75 |
Market Interest Rate or Yield to maturity on the Bond |
1/Y |
? |
Maturity Period/Time to Maturity [10 Years x 2] |
N |
20 |
Bond Price [-$1,076] |
PV |
-1,076 |
We need to set the above figures into the financial calculator to find out the Yield to Maturity of the Bond. After entering the above keys in the financial calculator, we get the semi-annual yield to maturity (YTM) on the bond = 2.87%.
The semi-annual Yield to maturity = 2.87%.
Therefore, the annual Yield to Maturity of the Bond = 5.74% [2.87% x 2]
“Therefore, we need to set a coupon rate of 5.74%”