a bond with a par value of $1000 has a 14-year maturity and an 9.5% annual coupon. The bond has a current yield of 8%. What is the bond's yield to maturity ?
Coupon Payment= 1000*0.095= $95 | ||
Bond price= Coupon payment/ current yield | ||
= 95/0.08= $1187.50 | ||
Bond price= $1187.50 | ||
Calculation of Yield to maturity | ||
Interest (1000*0.095`) | 95 | |
Face value | $1000 | |
Bond price | $1187.50 | |
Years to maturity | 14 | |
Yield to maturity= | Interest+ (Face value-Bond price)/years to maturity | |
(face value + bond price)/2 | ||
95+(1000-1187.50)/14 | ||
(1000+1187.50)/2 | ||
Yield to maturity | 7.46% | |
Therefore yield to maturity is 7.46% | ||
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