Question 2: (12 marks) The following facts are given about bonds with annual coupons in a market. a) Find the price of a 3 year bond with face value $100,000 and 5% coupon, paid annually. Show all steps of your calculation clearly. (7 marks) b) Calculate the duration of the bond in part a) (3 marks) c) If the yield of the bond in part a) increases by 0.01%, calculate the approximate percentage change in the price of the bond. Express your answer as a percentage accurate to 4 decimal places. (2 marks)