A current-day payoff amount is the amount required to pay a loan in full on a specified date, including accrued interest through that date and any applicable charges. This calculator estimates a simple-interest payoff from your balance, APR, last payment date, and intended payoff date; the lender or servicer must provide the exact figure.
Formula
This estimate uses simple daily interest on the current principal balance:
Accrued interest = principal × annual rate ÷ 100 ÷ 365 × days
Estimated payoff = principal + accrued interest
- Principal is the balance that remains subject to interest, in dollars.
- Annual rate is the loan’s APR, entered as a percentage per year.
- Days is the number of days from the last payment date through the intended payoff date, as counted under the lender’s method.
- 365 is the assumed number of days in the year for this estimate.
The calculator rounds displayed outputs to cents. Its payoff expression adds the estimated accrued interest to the entered principal. The separately displayed interest figure helps show how much of the estimate comes from interest. This is a simplified calculation, not a quote or a substitute for a payoff statement.
Worked Example
Using the calculator’s defaults—$20,000 principal, 8% APR, and 30 days since the last payment:
- Convert the annual rate to a decimal: 8 ÷ 100 = 0.08.
- Find the estimated daily rate: 0.08 ÷ 365 ≈ 0.000219178.
- Calculate 30 days of simple interest: $20,000 × 0.08 ÷ 365 × 30 ≈ $131.51.
- Add interest to the principal: $20,000 + $131.51 = $20,131.51 estimated payoff.
The result assumes the entered principal is accurate and no payments, additional charges, credits, or other balance changes occur during those 30 days.
Assumptions
- The interest rate remains fixed for the period being estimated.
- Interest is estimated as simple interest accruing daily on the stated principal.
- The year is treated as 365 days; a lender may use a different day-count convention or calculation method.
- No additional payment is made between the last payment date and the payoff date.
- Fees, late charges, prepayment charges, unpaid amounts, credits, and other adjustments are not included.
Why a Payoff Amount Changes by Date
A loan balance shown on a statement is usually measured as of a particular date. Interest can continue to accrue after that date, so the amount needed to close the account may be higher. A payoff amount is date-specific: a quote for one day may not cover a payment that arrives later, especially if the payment must be received and posted by a deadline.
For example, with the calculator’s default balance and rate, one additional day of simple interest is approximately $4.38 ($20,000 × 0.08 ÷ 365). That is only an illustration; the actual daily amount can differ because the lender may calculate interest on a changing balance, use a different day-count convention, or account for payments and charges in a different way.
How to Get and Use an Exact Payoff Quote
For an exact figure, request a payoff statement from the lender or loan servicer. Provide the date you expect the payoff to be received, not merely the date you plan to send it. Confirm the quote’s expiration date, payment instructions, and any amount that must be added if funds arrive after the quoted date.
- Find the current principal balance and APR in your account records or statement.
- Identify the date of the most recent payment and the date the payoff is expected to post.
- Enter the number of elapsed days for a rough estimate. Check how the lender counts the start and end dates.
- Ask the servicer for a dated payoff statement that includes interest and applicable account adjustments.
- Follow the stated delivery method and timing, then verify that the loan is shown as paid off after processing.
A payoff statement may include a per-diem interest amount—the amount of interest accruing for each additional day. It may also account for pending payments or amounts not reflected in a principal-only balance. Read the statement’s instructions carefully rather than assuming the calculator’s number is the amount to send.
What This Estimate Leaves Out
The calculator cannot retrieve account records or know the lender’s servicing rules. It estimates interest on one principal figure; it does not model an amortization schedule, daily balance changes, payment posting delays, or interest that compounds under a different method. It also cannot determine whether the quoted balance includes all amounts due.
Common sources of a difference between an estimate and an official quote include:
- A payment is pending, late, reversed, or credited on a different date.
- The lender uses actual days in the year, a 360-day convention, or another contract-specific method.
- The interest rate is variable or the displayed APR is not the rate used for daily accrual.
- There are unpaid charges, fees, credits, or other account adjustments.
- The payoff funds arrive after the quote’s valid-through date.
Do not treat the principal balance on a statement as automatically equal to a payoff amount. The former may not include interest accrued since the statement date, while the latter is calculated for a particular date and account status.
Frequently Asked Questions
Is the current-day payoff amount the same as my loan balance?
Not necessarily. A balance may be stated as of an earlier date and may not include interest accrued since then or other amounts included in a dated payoff quote.
How do I find my exact payoff amount?
Request a payoff statement from your lender or loan servicer for the date you expect the payment to be received. The calculator provides only a rough estimate.
Why does my payoff quote increase each day?
Interest may accrue each day until the loan is paid according to the account’s terms. A quote can also change if payments or other account adjustments are posted.
Does a payoff amount include fees?
It may include applicable account charges or adjustments, depending on the loan and the servicer’s calculation. This calculator excludes them; check the itemization on the official statement.
What does per-diem interest mean?
Per-diem interest is the amount of interest that accrues for one day under the lender’s calculation. A payoff statement may provide it to show how the amount changes after its quoted date.
This result is an estimate for educational use; the lender’s payoff disclosure gives the exact figures.
Related
Formula used
in bal | Current principal balance | $ | 20000 | 0 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in days | Days since last payment | days | 30 | 0 | 366 out pay | Estimated current-day payoff | $ | bal * (1 + apr / 100 / 365) ^ days - bal * 0 + bal * (apr / 100 / 365) * days | 2 out int | Estimated accrued interest | $ | bal * (apr / 100 / 365) * days | 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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