Question

A bond with a $1,000 face value and an 8 percent annual coupon pays interest semiannually. The bond will mature in 15 years. The yield to maturity is 11 percent. The price of the bond should be: Do no round intermediate computations. Round the final answer to two decimal places.

Answer 1

$781.99

Step-by-step explanation:

The price of the bond can be computed using excel pv function given below:

=-pv(rate,nper,pmt,fv)

rate is the semiannual yield to maturity i.e11%*6/12=5.5%

nper is the number of semiannual coupons the bond would i.e 30 semiannual coupons in 15 years

pmt is the amount of semiannual coupon=$1000*8%*6/12=$40

fv is the face value of $1000

=-pv(5.5%,30,40,1000)=$781.99