It is now January 1, 2009, and you are considering the purchase of an outstanding bond that was issued on January 1, 2007. It has a 9.5% annual coupon and had a 30-year original maturity. (It matures on December 31, 2036) There is 5 years of call protection (until December 31, 2011), after which time it can be called at 109 - that is a 109% of par, or $1,090. Interest rates have declined since it was issued; and it is now selling at 116.575% of par, or $1,165.75
a. What is the YTM? What is the YTC?
b. If you bought this bond, which return would you actually earn? Explain?
c. Suppose the bond is selling at a discount rather than a premium. Would the YTM have bee the most likely return, or would the YTC have been most likely?