A coupon bond that pays interest semi-annually has a par value of $1,000, matures in five years, and has a yield to maturity of 10%.The intrinsic value of the bond today will be __________ if the coupon rate is 8%.

Question

Quizplus · Accepted Answer

The intrinsic value of a bond is calculated using the present value of its future cash flows, which include the semi-annual interest payments and the principal repayment at maturity. For a bond with a coupon rate of 8% on a par value of $1,000, the semi-annual interest payment is $40 ($1,000 * 8% / 2). The bond pays this interest every six months for five years (10 periods), and repays the $1,000 principal at the end of the fifth year. Using the yield to maturity of 10% annually (or 5% semi-annually), the present value of the bond's cash flows can be calculated, resulting in an intrinsic value of approximately $922.78.

A Coupon Bond That Pays Interest Semi-Annually Has a Par