Question

West Corp. issued 13-year bonds 2 years ago at a coupon rate of 9.4 percent. The bonds make semiannual payments. If these bonds currently sell for 98 percent of par value, what is the YTM?

Answer 1

9.68%

Step-by-step explanation:

yield to maturity (YTM) = {coupon + [(face value - market value) / n]} / [(face value + market value) / 2]

face value = $1,000

market value = $1,000 x 0.98 = $980

n = (13 - 2) x 2 = 22

coupon = $1,000 x 0.094 x 1/2 = $47

YTM = {$47 + [($1,000 - $980) / 22]} / [($1,000 + $980) / 2] = $47.9090 / $990 = 0.4839 x 2 (annual rate) = 0.09678 = 9.68%