Calculate a Loan Payoff Amount

Calculate an estimated loan payoff amount by entering the current balance, annual interest rate, and the number of days until you expect to pay. The calculator estimates the amount due on that date, including interest accrued after the balance date; your lender’s official payoff statement may also include fees or other adjustments.

Formula

This estimate treats interest as accruing daily at the annual percentage rate divided by 365, then compounds it for the specified number of days:

Estimated payoff = current balance × (1 + APR ÷ 36,500)^days

• Current balance (bal): the loan balance in dollars as of the date supplied by the lender or shown in your account.
• APR (apr): the annual percentage rate, entered as a percentage number, such as 8 for 8%.
• Days (days): the number of calendar days from the balance date to the proposed payoff date.
• Estimated payoff (pay): the calculated balance plus modeled interest, in dollars.
• Estimated interest (accr): the estimated payoff minus the starting balance, in dollars.

The 36,500 divisor represents 365 days multiplied by 100 to convert the percentage to a decimal. This is a simplified daily-compounding estimate, not a universal lender accounting method. Some loans accrue simple daily interest instead; that estimate uses balance × (1 + APR × days ÷ 36,500). If your agreement or lender’s payoff quote specifies a method, use that method instead.

Worked Example

Using the calculator’s defaults—$20,000 balance, 8% APR, and 30 days—gives:

1. Convert APR to a daily decimal rate: 8 ÷ 36,500 = 0.0002191781.
2. Add one to the daily rate: 1 + 0.0002191781 = 1.0002191781.
3. Raise that factor to 30 days: (1.0002191781)³⁰ ≈ 1.00660034.
4. Multiply by the balance: $20,000 × 1.00660034 ≈ $20,132.01.
5. Subtract the starting balance: $20,132.01 − $20,000 = $132.01 estimated interest.

Estimated payoff amount: $20,132.01. The result rounds to cents. A lender’s actual quote can differ, even if the balance, APR, and date appear to match.

Assumptions

• The APR is fixed over the period being estimated.
• The balance is accurate on the stated starting date, and the number of days reaches the intended payoff date.
• The estimate uses daily compounding at APR divided by 365; it does not model a lender’s specific day-count convention or payment-posting schedule.
• No interim payments are made. Fees, penalties, rebates, taxes, insurance, escrow, and other account adjustments are not included.

How to Use the Estimate

First, identify the balance date. A balance from a statement may be several days old, and the calculator needs the balance as of a known date—not simply the original amount borrowed. Enter the APR as a percentage, not a decimal: enter 8 for 8%, not 0.08. Enter the number of days from that balance date to the expected payment date.

The first result is the estimated payoff on that future date. The second result isolates the interest added by this model. To estimate a different date, change the day count. The model assumes no payment or account activity in between; if you make a scheduled payment before payoff, the principal and accrued interest will change. A fresh balance or lender quote is more reliable than extending an old estimate.

A payoff amount is not the same as the amount shown as “principal balance.” Interest can accrue between the date a balance is reported and the date funds are received and applied. Also, a regular monthly payment may not close the account: it is normally set to cover scheduled installments, while a payoff quote calculates the amount needed to settle the account on a specific date.

Why an Official Payoff Quote Can Differ

Lenders calculate payoff figures using the loan’s contract, account records, and payment-processing rules. Differences may arise from the interest accrual convention, the exact posting date, a payment that has not cleared, or a fee included in the quote. Some loans use daily simple interest rather than daily compounding. For a simple-interest loan, multiplying the daily rate by the number of days produces a different result from repeatedly compounding it.

Ask the servicer for a payoff statement that is valid through your intended payment date. Check the quoted amount, the date through which it applies, accepted payment methods, and any instructions for sending funds. If payment arrives after the quote’s valid-through date, ask whether the amount needs updating. The calculator cannot determine a lender’s fees or timing rules because those depend on the account and loan documents.

Common Errors and Limits

• Using the wrong balance date: Counting days from the statement date when the balance is actually dated earlier or later shifts the interest estimate.
• Entering the APR incorrectly: Use a percentage number such as 8, not 0.08. The calculator converts the percentage itself.
• Assuming every loan compounds daily: This page’s formula is an explicit estimate. The lender may use simple interest, another day-count basis, or other contractual calculations.
• Ignoring payments or adjustments: The estimate assumes the balance remains untouched until payoff. Scheduled payments, returned payments, fees, or credits can alter the amount.
• Treating the result as a payment instruction: The estimated amount is not an official quote and should not replace the lender’s dated payoff statement.

Rounding is another small source of difference. The calculator rounds its displayed outputs to cents, while a servicer may keep more precision internally and round at particular stages. When paying off a loan, the lender’s quoted figure and instructions control the amount to send; confirm receipt and account closure directly with the servicer.

Frequently Asked Questions

How do I calculate a loan payoff amount?
Start with the balance on a known date, estimate interest through the payoff date using the applicable accrual method, then account for any lender-specific charges or credits. The calculator provides a daily-compounding estimate; request an official quote for the exact amount.

Is a payoff amount the same as my loan balance?
No. A displayed balance may be dated earlier and may not include interest that accrues before payment is processed. A dated payoff figure is calculated for a particular settlement date.

Why is my payoff quote higher than the calculator result?
The quote may include additional accrued interest, fees, or account adjustments, or use a different interest method and posting date. Compare the balance date, payoff date, and calculation assumptions, then ask the servicer to explain any difference.

Does this calculator include an early payoff fee?
No. It does not include fees, penalties, or other contract-specific amounts. Check the loan documents and ask the servicer whether any such amount applies to your account.

What date should I use for the payoff calculation?
Use the date associated with the balance as the starting point, then count calendar days to the proposed payoff date. Because payment receipt and posting can differ, confirm the valid-through date and amount with the lender.

This result is an estimate for educational use; the lender’s disclosure gives the exact figures.

Related

• EMI Calculator: How the Monthly Instalment of a Loan Is Calculated
• Loan Calculator With Down Payment: Payment on What You Borrow
• Loan Payment Calculator: Monthly Payment, Total Interest and Cost

in bal | Current loan balance | $ | 20000 | 0 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in days | Days until payoff | days | 30 | 0 | 36500
out pay | Estimated payoff amount | $ | bal * (1 + apr / 36500) ^ days | 2
out accr | Estimated interest through payoff date | $ | pay - bal | 2