A loan payoff schedule calculator estimates the monthly payment, total interest, and number of months needed to repay a fixed-rate loan with level payments. Enter the loan amount, annual percentage rate (APR), and term to see the scheduled payment and interest; this estimate does not account for extra payments or lender-specific payoff charges.
Formula
The calculator uses the standard fixed-payment amortization formula. It finds the monthly payment that pays off the starting principal, plus interest, in the selected number of monthly payments:
Payment = P × r ÷ [1 − (1 + r)−n]
- P is the loan principal, in dollars.
- r is the monthly interest rate as a decimal: APR ÷ 1,200. For an 8% APR, r = 0.08 ÷ 12.
- n is the number of monthly payments: years × 12.
Total interest is calculated as monthly payment × n − P. The calculator’s payment display is rounded to cents, and total interest uses that displayed, rounded payment. This is a scheduled estimate; a lender may calculate interest and final amounts using more precise daily accrual or other contract-specific conventions.
Worked Example
Using the calculator’s default inputs—$20,000 principal, 8% APR, and a five-year term:
- Convert APR to a monthly decimal rate: 8 ÷ 1,200 = 0.0066667.
- Find the number of payments: 5 × 12 = 60.
- Substitute into the formula: $20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60].
- The monthly payment is approximately $405.53.
- Using the rounded payment, total interest is $405.53 × 60 − $20,000 = $4,331.80.
The result describes a level-payment schedule: each payment includes interest due for that period and reduces the remaining principal. The interest portion generally falls over time as the balance declines, while the scheduled payment stays the same under the formula’s assumptions.
Assumptions
- The APR remains fixed for the full term.
- Payments are made monthly at the end of each period, with the first payment one month after the loan begins.
- Interest compounds monthly at APR ÷ 12.
- Fees, taxes, insurance, PMI, escrow, late charges, and extra payments are not included.
How to Read a Payoff Schedule
A full amortization schedule lists each payment period, payment amount, interest charged, principal repaid, and balance remaining. The balance at the end of a period becomes the starting balance for the next one. Early in a loan, more of a level payment may go toward interest because the balance is larger; later, more goes toward principal. The total interest figure summarizes the modeled interest across all scheduled payments, not the complete cost of borrowing if other charges apply.
This calculator gives the scheduled payment and total interest, rather than printing every row of a month-by-month table. To understand the remaining payoff amount on a particular date, you need the current principal balance and the lender’s interest calculation through that date. A scheduled balance is not necessarily the same as a payoff quote, which can include accrued interest and contract-specific charges.
When to Use It and What to Check
Use a payoff schedule estimate to understand how a proposed principal, APR, and term translate into a regular payment and modeled interest total. Enter the APR and term from the loan documents or obtain the relevant figures from the lender. If the APR includes fees in a way that differs from the interest rate used to accrue payments, the calculator’s result may not reproduce the lender’s schedule exactly.
- Confirm the principal: use the amount actually financed, not an unrelated purchase price or a balance from an earlier date.
- Check the rate format: enter an annual percentage such as 8, not 0.08. The calculator converts the percent to a monthly decimal.
- Use the correct term: enter years, not months. A five-year term means 60 monthly payments.
- Consider payment timing: a first payment date that differs from one month after borrowing can change accrued interest.
- Compare like with like: when comparing estimates, keep the principal, rate basis, term, and included charges consistent.
Rounding is another source of small differences. A lender may keep more decimal places internally, adjust the final installment, or calculate interest from the actual number of days between payments. Therefore, multiplying a rounded monthly payment by the term gives a useful estimate, but it may not match a statement to the cent.
Extra Payments, Variable Rates, and Limits
Extra principal payments can shorten the time needed to repay a loan and may reduce interest, but their effect depends on how the servicer applies them. Some payment systems first cover interest or fees, and an extra amount may need to be designated for principal. This calculator assumes exactly the scheduled payment each month, so it cannot show the changed payoff date or interest total from extra payments.
A variable-rate loan also falls outside the fixed-rate formula if its rate changes during repayment. A changing rate can alter the payment, payoff date, or both. Likewise, skipped payments, payment holidays, irregular installments, balloon payments, and refinancing require separate inputs or a different calculation. For an exact payoff amount, request a payoff statement from the lender for the date you intend to pay; the calculator does not replace that quote.
Frequently Asked Questions
What does a loan payoff schedule calculator show?
It estimates the regular payment and total interest for a fixed-rate loan repaid through equal monthly payments over a selected term. This calculator does not display an itemized row for every month.
Does the total interest include fees?
No. The estimate is based on principal, APR, and term, and does not separately add origination charges, late fees, insurance, taxes, or other costs.
Can I use it to find my exact payoff amount today?
No. A payoff quote can include interest accrued through a specific date and other amounts determined by the loan terms. Ask the lender or servicer for the exact figure.
Why might my lender’s payment differ?
Possible reasons include a different payment date, fees, day-based interest accrual, a rate or term entered differently, or rounding and final-payment adjustments.
Does paying extra change this estimate?
Extra payments are not modeled. They can change the remaining balance and payoff timing, depending on how the lender applies them.
This result is an estimate; the lender’s disclosure gives the exact figures.
Related
Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Monthly payment | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2 out int | Total interest | $ | pmt * yrs * 12 - p | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
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