Problem 1 (8 pts) Suppose today is 27 Sep 2021, consider the 3 coupon bonds below with annual coupon payments: Bond Maturity (years) Coupon Market Price Bond 1 5.00% $101.00 Bond 2 6.00% $103.25 Bond 3 6.00% $104.23 (a) Find the 1-year, 2-year, and 3-year zero rates R(0, t), t = 1, 2, 3. (b) Suppose a 3-year bond with coupon 4.75% (annual coupon payment) is issued today. What is the fair price of the bond? (c) What is the 1-year forward rate starting on 27 Sep 2023