Consider a five year, 9 percent annual coupon bond with a yield to maturity of 6 percent. The bond currently sells for $1,126.37. (14 points) a) What is the duration of the bond? SHOW KEYSTROKES OR FORMULA. (4 points) b) What is the modified duration of the bond? SHOW YOUR WORK. (2 points) c) What is the dollar duration of the bond? SHOW YOUR WORK.(2 points) d) If rates increase by 70 basis points, what is the approximate change in the market price using the duration estimate. SHOW YOUR WORK. (3 points) e) Using present value bond valuation techniques, calculate the exact price of the bond after the interest rate increase of 70 basis points. SHOW YOUR WORK. (3 points)