1. You and your spouse have found your dream home. The selling price is $220,000; you will put $50,000 down and obtain a 30-year fixed-rate mortgage at 12% compounded monthly for the balance a) Assume that monthly payments begin in one month. What will each payment be? b) How much interest will you pay (in dollars) over the lifetime of the loan? (Assume you make each of the required 360 payments on time.) c) Although you will get a 30-year mortgage, you plan to prepay the loan by making an additional payment each month along with your regular payment. How much extra must you pay each month if you wish to pay off the loan in 20 years? 2. Mr. And Mrs. James would like to need $30,000 per year during their retirement periods to have a comfortable life. They assume that they will retire in 20 years and expect a 15-year retirement period. They will be able to eam 10% per year during the 15 years retirement period. a) How large a fund will they need when they retire in 20 years to provide the 15-year, $30,000 retirement annuity? b) How much will they need today as a single amount to provide the fund calculated in part a if they earn 8% per year during the 20 years retirement period