Suppose a 15-year, $1000 bond with a 6% coupon rate and semiannual coupons is trading for a price of $1050.62.
a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)?
b. If the bond's yield to maturity changes to 6.5% APR, what will the bond's new price?
c. Given your answer to b., is the bond now selling at a premium, discount, or at par?