In: Finance
What is the quoted price of a bond with 5 years to maturity, a coupon rate of 8%, and a YTM of 7.5%? Coupons are paid semi-annually.
Quoted price of bond = coupon * (1 - (1+ ytm/2)^(-2n))/(ytm/2) + face value/(1 + ytm/2)^(2n)
coupon = 8% of 100/2 = 4
ytm = 7.5%
n = 5
face value = 100
quoted price of bond = 4 * (1 - 1.0375)^(-10)/.0375 + 100/(1.0375)^10
= 102.05