You are buying a house and the mortgage company offers to let you pay a "point" ( 1.0% of the total amount of the loan) to reduce your APR from 6.22% to 5.97% on your $427,000, 30 -year mortgage with monthly payments. If you plan to be in the house for at least five years, should you do it? (Note: Be careful not to round any intermediate steps less than six decimal places.) The monthly mortgage payment at 6.22% APR is $ (Round to the nearest cent.) The monthly mortgage payment at 5.97% APR is $ (Round to the nearest cent.) The lower interest rate on the mortgage results in monthly savings of $. (Round to the nearest cent.) The PV of the monthly savings is $ (Round to the nearest cent.) The balance of the mortgage at the end of five years at 6.22% APR is $ (Round to the nearest cent.) The balance of the mortgage at the end of five years at 5.97% APR is $ (Round to the nearest cent.) The principal reduction due to the lower interest rate is $ (Round to the nearest cent.) The PV of the principal reduction is (Round to the nearest cent.) The net benefit or cost is $ (Round to the nearest cent.) The balance of the mortgage at the end of five years at 6.22% APR is $ (Round to the nearest cent.) The balance of the mortgage at the end of five years at 5.97% APR is $. (Round to the nearest cent.) The principal reduction due to the lower interest rate is $ (Round to the nearest cent.) The PV of the principal reduction is S. (Round to the nearest cent.) The net benefit or cost is $ (Round to the nearest cent.) The net benefit is ; therefore, you pay the point. (Select from the drop-down menus.)