Consider a four-year bond with face amount $1,000, 3% annual coupons, and redeemable at par. Consider the following term structure.

a) Without any calculations, conclude whether the bond will sell at a premium or at a discount. Explain. (Note: A correct answer without a correct explanation earns no credit.)

b) Calculate the price of the bond.

Term 1 year 2 years 3 years 4 years Spot rate 4% 4.5% 5% 5.5%