2. Midlife Price of Bond. Consider a 3-year semi-annual coupon paying bond issued on January 1, 2022 with a coupon rate of 5%. Further, assume that the market interest rate is 7.5% and that this does not change over the life of the bond. Suppose you buy $1000 par value of the bond on the day that it was issued. (a) What is the price you pay to acquire the bond? (b) What are the coupon payment dates for the bond, and how much do you receive on each of the dates? (c) What is the price of the bond on each of these coupon dates? What can you say about the evolution of prices over the life of a bond? (d) Suppose that on December 30, 2023 your broker offers to buy the bond at a price of 103.50%. Would you sell the bond? Explain why