The house you want to buy is $800,000. You will need a 20% down payment. The loans from which you may choose: a 15-year mortgage for 3% per annum with 3 points, or a 30-year mortgage for 3.5% per annum with 2 points. What do you need for cash at closing to buy this house under each choice? What will be your mortgage payment per month for each choice? What will you have paid in total when the mortgage is paid off for each choice?