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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

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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 5.56% to 5.31% on your $418,000,30-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 5.56% APR is $ (Round to the nearest cent.)

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