Loan Payoff Statement: Balance, Per Diem Interest & Timing

A loan payoff statement gives the amount needed to fully repay a loan on a specified date, including the remaining balance and any interest or other amounts due. This calculator estimates a simple payoff quote from your balance, APR, and days until payment; enter the figures from your loan account to see estimated interest and total payoff.

Formula

This estimate uses simple daily interest on the current balance:

• Per diem interest = balance × (APR ÷ 100 ÷ 365).
• Interest through payoff date = per diem interest × days until payoff.
• Estimated payoff = current balance + interest through payoff date.

Here, bal is the current principal balance in dollars, apr is the annual percentage rate entered as a percent per year, and days is the number of days from the balance date to the intended payoff date. The calculation uses 365 days per year and displays amounts rounded to cents. The actual lender quote can use a different day-count method and may include other amounts.

Worked Example

Using the calculator’s default inputs—$20,000 balance, 8% APR, and 15 days—the estimated daily interest rate is 0.08 ÷ 365, or about 0.000219178. The steps are:

1. Per diem interest: $20,000 × 0.08 ÷ 365 = $4.38356, rounded to $4.38 per day.
2. Interest for 15 days: $20,000 × (8 ÷ 36,500) × 15 = $65.75342, rounded to $65.75.
3. Estimated payoff: $20,000 + $65.75342 = $20,065.75342, rounded to $20,065.75.

The payoff output is the headline result; the other outputs show the estimated daily accrual and the interest added for the selected number of days.

Assumptions

• The entered balance is accurate as of the date from which the payoff period is counted.
• The APR is fixed over the entered period, with interest approximated as simple daily interest using APR ÷ 365.
• No payment is made between the balance date and payoff date, and the payoff is applied on the selected date.
• Fees, late charges, prepayment charges, rebates, taxes, insurance, escrow, and other lender-specific adjustments are not included.

What a Loan Payoff Statement Shows

A payoff statement, sometimes called a payoff quote, is a dated accounting of what the lender says is needed to bring a particular loan to zero. It is not necessarily the same as the balance shown on a monthly statement. A statement balance may be calculated as of an earlier date, while interest can continue to accrue each day. The payoff quote generally identifies the amount due through a stated date and explains what happens if payment arrives later.

Depending on the loan and the lender’s process, the document may show the unpaid principal, accrued interest, fees or other adjustments, a per diem amount, payment instructions, and an expiration date. The exact contents vary. A quote is tied to the account and date shown; it should not be treated as a timeless figure or as a guarantee that a payment has cleared.

How to Request and Use One

Ask the loan servicer or lender for an official payoff statement and specify the date you expect the funds to reach it. Check the lender’s stated processing time and delivery method. If a third party is handling the transaction, confirm who will request the statement and send payment; do not assume that a regular monthly payment will automatically close the loan.

When the statement arrives, compare its account details with your records and review these points:

• The “good through” or expiration date and the total due on that date.
• The per diem interest amount, if provided, and how the lender says to update the quote after its expiration.
• Any listed fees, credits, past-due amounts, or other adjustments.
• Exact payment instructions, including reference or account information and the required delivery method.
• Whether the lender requires a separate request or action to close the account after payment.

Use the official statement’s amount and instructions for an actual payoff, not this calculator’s estimate. Save the quote and payment confirmation, then check with the servicer that the payment posted and ask for confirmation that the balance is zero.

Why the Quote Can Differ from the Calculator

This calculator is a simplified estimate, not an account-level payoff calculation. A lender may calculate interest using a convention other than 365 days, accrue it from a different date, or apply payments according to its own posting rules. The balance you enter may also exclude interest already accrued, unpaid charges, or transactions that have not posted. For these reasons, even a small difference in the balance date or payoff date can change the result.

A common misconception is that paying the principal balance shown online is always enough to close the loan. If interest has accrued since that balance was calculated, a small amount may remain due. Conversely, an official quote may include adjustments that make its total differ from principal plus estimated interest. The lender’s dated statement is the relevant figure to verify with the servicer.

Timing matters. If funds arrive after the quote’s valid-through date, additional interest may be due. The quote may specify a daily amount to add, but confirm the updated total and instructions with the lender rather than relying on a calculation based on an old balance. Processing time, weekends, holidays, and payment method can affect when funds are credited; the lender can explain how it treats the intended payment.

Frequently Asked Questions

Is a payoff statement the same as my loan balance?
No. The account balance may reflect principal or a previous posting date. A payoff statement calculates the amount due through a specific date and may include accrued interest and other account adjustments.

How do I calculate a loan payoff amount?
For a rough estimate, add interest expected through the payment date to the current balance. This page estimates simple daily interest from APR and a 365-day year. For the amount required to close the account, request a dated payoff statement from the servicer.

What does per diem mean on a payoff statement?
Per diem means “per day.” It is the daily interest amount, or another daily adjustment specified by the lender, used to update a quote when payment falls after its stated valid-through date. Confirm how the lender applies it.

How long is a payoff statement valid?
Its validity depends on the date and terms printed on that statement. Check the stated expiration or good-through date. If payment will arrive later, ask the servicer for an updated quote or its exact instructions for recalculating the amount.

Does getting a payoff statement pay off the loan?
No. It is a quote, not a payment or account closure. Follow the payment instructions, allow time for processing, and verify with the servicer that the payment posted and the balance was cleared.

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

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in bal | Current loan balance | $ | 20000 | 0 | 100000000
in apr | Interest rate (APR) | % | 8 | 0.01 | 100
in days | Days until payoff | days | 15 | 0 | 3650
out payoff | Estimated payoff amount | $ | bal + bal * (apr / 36500) * days | 2
out pd | Estimated per diem interest | $ | bal * (apr / 36500) | 2
out interest | Interest through payoff date | $ | bal * (apr / 36500) * days | 2