Swing Co. has 9% annual coupon bonds that are callable and have 18 years left until maturity. The bonds have a par value of $1,000, and their current market price is $1,130.35. However, Swing Co. may call the bonds in eight years at a call price of $1,060. What are the YTM and the yield to call (YTC) on Swing Co.’s bonds?

YTM = 7.77%

YTC = 7.62%

Explanation:

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

YTM = {90 + [(1,000 - 1,130.35)/18]} / [(1,000 + 1,130.35)/2]

YTM = 82.758333 / 1,065.175 = 0.07769 = 7.77%

YTC = {coupon + [(call value - market value)/n]} / [(call value + market value)/2]

YTC = {90 + [(1,060 - 1,130.35)/8]} / [(1,000 + 1,130.35)/2]

YTC = 81.20625 / 1,065.175 = 0.07623 = 7.62%