Consider an adjustable rate mortgage of $100,000, no payment cap, no interest rate cap, 2% margin, annual adjustment, annual payments, 3 year maturity, initial index rate: 7% (a) What is the first year’s payment? (b) If the second year index rate is 9%, and the third year index rate is 13%, what are the second year and third year’s payments? (c) If the index rates are the same as (b), if there is an annual interest rate cap of 3%, what is the second year and third year’s payment?