Taussig Corp.'s bonds currently sell for $1,150. They have a 6.75% annual coupon rate and a 15-year maturity, but they can be called in 6 years at $1,067.50. Assume that no costs other than the call premium would be incurred to call and refund the bonds, and also assume that the yield curve is horizontal, with rates expected to remain at current levels on into the future. Under these conditions, what rate of return should an investor expect to earn if he or she purchases these bonds,
a) If the bond is called , the YTC
b) if it held till maturity, YTM
Please refer attached file for better clarity of formulas used in MS Excel.
Calculating Yield to Maturity (YTM)
Number of coupon payment left= 15
Coupon payment=6.75% of $1000=67.5
Let us see cash flows from now
Year Cash Flow
Solution describes the steps to calculate YTM and YTC.