In: Finance
Bond A is a 15 year, 9% semiannual-pay bond priced with a yield of maturity of 8%, while bond B is a 15 year, 7% semiannual-pay bond priced with the same yield to maturity. Given that both bonds have par values of $1,000, what would be the prices of these two bonds?
Bond A | Bond B | ||||||||
Price | $ 1,086.46 | $ 913.54 | |||||||
Working: | |||||||||
# 1 | Price of Bond A | = | =-pv(rate,nper,pmt,fv) | ||||||
= | $ 1,086.46 | ||||||||
rate | yield to maturity | 8%*6/12 | = | 0.04 | |||||
nper | number of period | 15*12/6 | = | 30 | |||||
pmt | semi annual payment | 1000*9%*6/12 | = | $ 45.00 | |||||
fv | Par Value | = | $ 1,000.00 | ||||||
# 2 | Price of Bond B | = | =-pv(rate,nper,pmt,fv) | ||||||
= | $ 913.54 | ||||||||
rate | yield to maturity | 8%*6/12 | = | 0.04 | |||||
nper | number of period | 15*12/6 | = | 30 | |||||
pmt | semi annual payment | 1000*7%*6/12 | = | $ 35.00 | |||||
fv | Par Value | = | $ 1,000.00 | ||||||