C. Estimate the 2-year, 5-year, and10-year key rate durations of a 20-year bond carrying a coupon of 12.3 percent on face value $100 paid semi-annually. The given term structure starts with 7.6 percent spot rate of interest at time zero and rises at a rate of 0.002 (.2%) per half year thereafter. Take a 20 basis point (.002) move in each key interest rate to calculate the key rate durations by the method done in class and given in textbook. Report answers for the following:
35. Current fair price of the bond with the given term structure.
36. Price change needed to calculate 2-year key rate duration.
37. Price change needed to calculate 5-year key rate duration.
38. Price change needed to calculate 10-year key rate duration.
39. 2-year key rate duration.
40. 5-year key rate duration.
41. 10-year key rate duration.