In: Finance
scott motors has a bond issue outstanding that pays an 8.50% coupon rate and matures in 16.5 years. the bonds have a par value of 1,000 and a market price of $944.30. interest is paid semi annually. what is the yield to maturity? Please show me how to do this on financial calculator (BA 2 plus) and details about how you got the numbers. thank you!
K = Nx2 |
Bond Price =∑ [(Semi Annual Coupon)/(1 + YTM/2)^k] + Par value/(1 + YTM/2)^Nx2 |
k=1 |
K =16.5x2 |
944.3 =∑ [(8.5*1000/200)/(1 + YTM/200)^k] + 1000/(1 + YTM/200)^16.5x2 |
k=1 |
YTM% = 9.16 |
on ba2 plus
PV = -944.3
FV = 1000
N = 16.5*2=
PMT = 8.5*1000/(2*100) = 42.5
CMT I/Y
multiply the result by 2 and you will get 9.16%
not: we are multiplying and dividing certain items by 2 because of semi annual coupon payment