A mortgage payment is made in arrears - the payment due on the first of a month covers the interest that accrued during the month before. But a loan rarely funds on the last day of a month, so there is a stretch between the funding date and the start of the first full period that no scheduled payment covers.

That gap is collected at the closing table as prepaid interest, sometimes called odd-days or per-diem interest. It is one of the few closing figures that changes every single day the closing slips.

The formula

daily interest = (interest rate / 365) / 100 × loan amount days = days between the from-date and the to-date total = daily interest × days

Three inputs, and none of them are negotiable at the table: the loan amount, the note rate, and the calendar.

A worked example

On a $432,000 loan at 5.0%, funding on 12 September with a first payment due 1 November:

daily interest = (5.0 / 365) / 100 × 432,000 = $59.18 per day days = 12 September to 1 October = 19 days total = 59.18 × 19 = $1,124.42

The first payment on 1 November then covers October in the ordinary way. The 19 days of September are what the borrower brings to closing.

The day-count basis

The calculation above uses a 365-day year. That is the common convention for prepaid interest at closing, and it is worth being explicit about because other parts of a loan file do not always use it - some lender worksheets compute interest on a 360-day basis, which produces a slightly higher per diem on the same rate and balance.

If your figure and the lender's disagree by a small margin on an otherwise identical rate, balance and day count, the basis is the first thing to check.

No weekend or holiday adjustment Interest accrues on calendar days. A closing that funds on a Friday accrues over the weekend exactly as it would midweek - there is no business-day convention applied to the per diem.

Counting the days

Whether the count includes both the from-date and the to-date is a convention, and it changes the total by exactly one per diem. Lenders differ. Because the figure has to match what the lender funds, this is worth confirming against the lender's own worksheet rather than assuming, particularly on a large balance where one day is a material number.

Where it is disclosed

On a Closing Disclosure, prepaid interest belongs in the Prepaids section - not in Loan Costs. This trips people up, because prepaid interest is unmistakably a cost of getting the loan and sits next to origination charges in most people's mental model of a closing.

The distinction the form draws is not about who benefits from the charge but about what kind of charge it is. Loan Costs are fees for making the loan. Prepaids are amounts paid in advance for something that will continue after closing - interest, insurance premiums, taxes. Prepaid interest is the first of those, and it is disclosed alongside the others.

Getting this wrong is not merely cosmetic: charges in the Loan Costs sections are subject to different treatment from prepaids, so a misplaced prepaid interest figure can move totals that are compared against earlier disclosures.

The figure moves when the closing moves Every day of delay adds a per diem. On a rescheduled closing, prepaid interest is one of the handful of numbers that has to be rebuilt rather than carried forward.

Common questions

How is prepaid interest calculated at closing?

Divide the annual interest rate by 365 to get a daily rate, multiply by the loan amount to get the per diem, then multiply the per diem by the number of days between funding and the start of the period covered by the first payment.

Why does a borrower pay interest before the first mortgage payment?

Mortgage payments are made in arrears, so the first payment covers the preceding period. The days between the loan funding and the start of that period are not covered by any scheduled payment, so the interest for them is collected at closing.

Is prepaid interest calculated on a 360-day or 365-day year?

Prepaid interest at closing is commonly calculated on a 365-day year. Some lender worksheets use a 360-day basis, which yields a slightly higher per diem on the same rate and balance, so it is worth confirming which basis the lender used if the two figures disagree.

Is prepaid interest a loan cost on the Closing Disclosure?

No. Prepaid interest is disclosed in the Prepaids section, not in Loan Costs. Loan Costs are fees charged for making the loan, while prepaids are amounts paid in advance for something continuing after closing, such as interest, insurance and taxes.

Does prepaid interest change if the closing is delayed?

Yes. The figure is a per diem multiplied by a day count, so every day the closing moves changes the total by one day's interest. It has to be recalculated rather than carried over from the earlier figure.

Docketman runs the closing

Prorations, prepaids, recording charges and payoffs are calculated on the matter and flow straight onto the Closing Disclosure, the settlement statements and the disbursement ledger.