Question

An investor purchases a 15-year, $1,000 par value bond that pays semiannual interest of $40. If the semiannual market rate of interest is 5%, what is the current market value of the bond

Answer 1

Answer:

Bond Price​= $846.3

Explanation:

Giving the following information:

YTM= 0.05

Maturity= 15*2= 30 semesters

Par value= $1,000

Coupon= $40

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​= 40*{[1 - (1.05^-30)] / 0.05} + [1,000 / (1.05^30)]

Bond Price​= 614.90 + 231.38

Bond Price​= $846.3