Suppose that you have the following bonds:
A: 1-year zero coupon bond has a YTM of 2%
B: 2-year zero coupon bond has a YTM of 3%
C: 3-year zero coupon bond has a YTM of 4%
(a) If each of these bonds has a face value of $100, what are the prices of each of these bonds?
(b) What do bonds B and C imply about the interest rate in the third year?
(c) If the law of one price holds, what is the fair value of a 3-year coupon with a 10% coupon bond with a face value of $100?