Question

Find the price a purchaser should be willing to pay for the given bond. Assume that the coupon interest is paid twice a year. $30,000 bond with coupon rate 4.4% that matures in 7 years; current interest rate is 6.8%.

Answer 1

Bond Price​= $26,042.12

Step-by-step explanation:

Giving the following information:

Coupon= (0.044/2)*30,000= $660

YTM= 0.068/2= 0.034

Time to maturity= 7*2= 14 semesters

Face value= $30,000

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

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

Bond Price​= 660*{[1 - (1.034^-14)] / 0.034} + [30,000 /(1.034^14)]

Bond Price​= 7,256.14 + 18,785.98

Bond Price​= $26,042.12