Free Tool — MLO / NMLS Exam Prep
Per-Diem Interest Calculator
Mortgage payments are made in arrears, so at closing the lender collects interest for the days between funding and month-end. That daily figure is per-diem interest. Enter the loan, rate, and closing date to see the daily amount and the total prepaid interest — computed both the 360-day and 365-day way, since the NMLS exam tests both conventions.
Per-Diem & Prepaid Interest Calculator
Daily (per-diem) interest and the odd-days prepaid interest collected at closing — classic NMLS math.
Loan × Rate ÷ 360
Loan × Rate ÷ 365
Inclusive of the closing day
Per-diem (360-day) × odd days
1st of the second month — interest paid in arrears
Mortgage interest is paid in arrears. When a loan closes mid-month, the borrower prepays interest ("odd-days" or "interim" interest) from the closing date through the end of that month, then the first regular payment is due on the 1st of the following month — meaning the first payment is the 1st of the second month after closing.
For exam practice and estimation only — not a substitute for engineered design, manufacturer data, current codes, or a licensed professional's judgment. Verify all values before relying on them.
Worked Example
A $250,000 loan at 6% closes on the 20th of a 31-day month (12 days of interim interest, days 20–31 inclusive).
- • 360-day method: ($250,000 × 0.06) ÷ 360 = $41.67/day → × 12 days = $500.04 prepaid interest.
- • 365-day method: ($250,000 × 0.06) ÷ 365 = $41.10/day → × 12 days = $493.15 prepaid interest.
- • Close earlier in the month → more days → more prepaid interest due at the table. Close near month-end → less.
Exam takeaway: the 360-day method gives the higher daily amount. Always check which day-count the question specifies.
Per-Diem Interest — Frequently Asked Questions
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