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The formula for calculating your loan payment depends on whether you choose an amortizing or interest-only loan. Examples of amortizing loans include car loans, mortgages and personal loans.
An amortization calculator is used to determine the periodic payment amount due on a loan (typically a mortgage), based on the amortization process. [1]The amortization repayment model factors varying amounts of both interest and principal into every installment, though the total amount of each payment is the same.
The fixed monthly payment for a fixed rate mortgage is the amount paid by the borrower every month that ensures that the loan is paid off in full with interest at the end of its term. The monthly payment formula is based on the annuity formula. The monthly payment c depends upon: r - the monthly interest rate. Since the quoted yearly percentage ...
This amortization schedule is based on the following assumptions: First, it should be known that rounding errors occur and, depending on how the lender accumulates these errors, the blended payment (principal plus interest) may vary slightly some months to keep these errors from accumulating; or, the accumulated errors are adjusted for at the end of each year or at the final loan payment.
The remaining interest owed is added to the outstanding loan balance, making it larger than the original loan amount. If the repayment model for a loan is "fully amortized", then the last payment (which, if the schedule was calculated correctly, should be equal to all others) pays off all remaining principal and interest on the loan.
The classical formula for the present value of a series of n fixed monthly payments amount x invested at a monthly interest rate i% is: = ((+))The formula may be re-arranged to determine the monthly payment x on a loan of amount P 0 taken out for a period of n months at a monthly interest rate of i%:
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