Consider a 30-year $150,000 5/1 ARM having a 2.9% margin and based on the CMT index. Assume that it carries a payment cap of 6% and the monthly payments for the 6th year are $1022.47 at an annual interest rate of 7.4% Also assume that the CMT index is 7.1% at the beginning of the 7th year and all interest rates are compounded monthly. (a) Calculate the unpaid balance of the loan at the beginning of the 7th year. (b) Calculate the monthly payment for the 7th year without using the payment cap. (c) Calculate the monthly payment for the 7th year using the payment cap. (d) How much interest is due for the 73rd month? (e) Determine the unpaid balance at the end of the 73rd month