Given a three-year coupon paying bond with face value of $1000, coupon of 10% p.a. and yield of 8% p.a. a) Without calculation for the bond price, state whether the price of this bond exceeds, is equal to or is less than the bond face value. Explain why. (10 marks) b) Calculate the duration of the bond. (10 marks) c) Using the duration measure to estimate the change in bond price expected if the yield increases to 9%. (10 marks)