Questions on estimating bond key rate duration attached.

Please include relevant calculations, formulas used, and answers so that I know exactly how you got the answer.

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 semiannually. 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