A couple is buying a house. Selling price of the house is $301,500. They will put $31,000 as the downpayment, and finance the remainder choosing one of the two following options: a 30 -year fixed rate mortgage loan at 6.00% annual interest rate, or a 15 -year fixed rate mortgage, also at 6.00% annual interest rate. Payments are monthly and interest will be accrued monthly. They will also have several additional expenses that will be added to their monthly loan payment but are not part of the loan: Annual property taxes of $2100, homeowners insurance with annual cost of $1625, and PMI mortgage loan insurance of $290 per year. For each of the two mortgage loan options: a) Calculate their monthly loan payment showing an interest factor notation equation. b) Calculate the total monthly payment including additional expenses. c) Compare the two loan options by calculating the total amount of the "loan payments" over the life of the loan and deducting the amount borrowed to determine the total amount of interest paid on each loan option. d) For each of the two options, calculate the amount of interest paid and principal paid for the second payment of the loan. Create the first three rows of an amortization table, with t=0,n=1,n=2 and show calculations of loan balance, constant payment, principal portion of payment, and interest portion of payment