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7. You have found your dream home. The selling price is $400,000. You will put $80.000 as down payment and obtain a 30-year fixed-rate mortgage loan at 6 percent annual interest rate for the rest. a) You are required to make an equal payment every month for 360 months to pay off the balance on the loan. Assume that the first payment begins in one month after you obtained the loan. What will each monthly payment be? b) If you want to pay off the remaining principal on you mortgage loan after 10 years (i.e., 120 months), how much will you have to pay? Assume that you have never missed your payments during the first ten years after you obtained the loin. The bank that you obtained the loan from imposes no charges for early payoff of the loan