Question

Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 11 percent, has a YTM of 9 percent, and has 11 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 9 percent, has a YTM of 11 percent, and also has 11 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today

Answer 1

Results are below.

Step-by-step explanation:

To calculate the price of each bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond X:

Coupon= (0.11/2)*1,000= $55

YTM= 0.09/2= 0.045

Years to maturiy= 11 years

Bond Price​= 55*{[1 - (1.045^-11)] / 0.045} + [1,000/(1.045^11)]

Bond Price​= 469.1 + 616.2

Bond Price​= $1,085.3

Bond Y:

Coupon= (0.09/2)*1,000= $45

YTM= 0.11/2= 0.055

Years to maturiy= 11 years

Bond Price​= 45*{[1 - (1.055^-11)] / 0.055} + [1,000/(1.045^11)]5

Bond Price​= 364.16 + 554.91

Bond price= $919.07