Answer:
A) YTM = 7.64%
B) YTC = 7.36%
C) 8 years
D ) 7.64%
Explanation:
Annual coupon bond rate = 9%
number of year left until maturity = 18
par value of Bonds( FV ) = $1000
current market price( PV ) = $1130.35
Demed can call bonds in 8 years at a call price of $1060
A) what is the Bonds' YTM ( yield to maturity )
we calculate the interest per period ( PMT )
= ( Fv * Annual coupon bond rate) / number of compounding per year
= (1000 * 9% ) / 1 = $90
next we calculate number of compounding periods till maturity ( NPER )
= number of years to maturity * number of compounding per year
= 18 * 1 = 18
using excel formula = RATE ( NPER,PMT,PV,FV) )
hence yield to maturity = 7.64%
B) what is YTC ( yield to call )
we calculate the interest per period ( PMT )
= $1000 * ( coupon rate / number of compounding per year )
= $1000 * ( 9% / 1 ) = $90
next we calculate the number of compounding periods till sell
= 8 * 1 = 8
using excel formula = RATE ( NPER,PMT,PV,FV) )
Hence the YTC = 7.36%
C) Bonds will be called at 8 years and this is because the YTC is less than YTM
D ) The coupon rate for the bonds to be issued at par, is 7.64%
