Consider the following bond making semi-annual coupon payments. The price of the bond is $1,169. Its coupon rate is 11%. Its maturity is 18 years with a par value of $1,000. Besides, the first par call of the bond is in 13 years, The bond’s put date in five years and it is putable at par value.

(a) Show that the yield to maturity for this bond is 9.077%.

(b) Show that the yield to first par call is 8.793%.

(c) Show that the yield to put is 6.942%.

(d) What is the yield to worst for this bond?