only need help with the finding the duration in (b) and all of part (c)! please show work! thank you!

mortgage backed security. It is known the price of the MBS is $4,000,000. Month 1 2 3 4 5 Cash flow to investor $550,000 550,000 550,000 550,000 550,000 540,000 540,000 540,000 540,000 540,000 500,000 500,000 7 8 9 10 40 11 12 (b) With above information, will you be able to calculate the average life of the mortgage? Can you calculate the duration? (C) Suppose principal payments account for 50% of the cash flow in cach month, what is the average life of the mortgage? mortgage backed security. It is known the price of the MBS is $4,000,000. Month 1 2 3 4 5 Cash flow to investor $550,000 550,000 550,000 550,000 550,000 540,000 540,000 540,000 540,000 540,000 500,000 500,000 7 8 9 10 40 11 12 (b) With above information, will you be able to calculate the average life of the mortgage? Can you calculate the duration? (C) Suppose principal payments account for 50% of the cash flow in cach month, what is the average life of the mortgage