You have decided to refinance your mortgage. You plan to borrow whatever is outstanding on your current mortgage. The current monthly payment is $ 2 comma 356 and you have made every payment on time. The original term of the mortgage was 30 years, and the mortgage is exactly four years and eight months old. You have just made your monthly payment. The mortgage interest rate is 7.500 % (APR). How much do you owe on the mortgage today? (Note: Be careful not to round any intermediate steps less than six decimal places.)

$320,244.92

Explanation:

We must first determine the principal of the loan and we can do that by using the present value of an annuity formula:

PV = monthly payment x annuity factor

PV = $2,356 x 143.01763 = $336,950

Once we have calculated the principal, we can prepare an amortization schedule. I used an excel spreadsheet to do it. Four years and 8 months is the same as 56 monthly payments. The principal's balance after the 56th payment is $320,244.92

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