Problem 19. A 100 par value 3 year bond pays annual coupons at a rate 7% coupon rate (with annual coupon payments). The current annual effective interest rate is 7%. (1) Calculate the duration, the modified duration and the convexity of the bond. (IT) If the interest rate change from 7% to 8%, what is the percentage change in the price of the bond? (4 points Problem 19. A 100 par value 3 year bond pays annual coupons at a rate 7% coupon rate (with annual coupon payments). The current annual effective interest rate is 7%. (1) Calculate the duration, the modified duration and the convexity of the bond. (IT) If the interest rate change from 7% to 8%, what is the percentage change in the price of the bond? (4 points