Calculate the difference in payments of home mortgage loan, Mathematics

You have just renegotiated the interest rate of your home mortgage loan. (This is called rate modification.)  The original loan of $400,000 carries an interest rate is 6% has an original maturity of 15 years and requires monthly payments (end of month).  There are 80 months remaining to repay the loan.  The new mortgage has a lower rate of 4% and will still have 80 months left to maturity.  First estimate the monthly savings if you switch to the new lower interest rate and then the difference between the new and old monthly payments. 

            ANSWER: Difference in payments ________________

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