Prepaid Interest at Closing Calculator – Per-Diem Odd Days

Prepaid Interest at Closing Calculator

Estimate the odd-days interest a lender collects at closing. Enter your loan amount, rate, closing day, and days in the month to see the per-diem charge, the days billed from your closing date through month-end, the total prepaid interest due, and the date your first mortgage payment is due.

🎯Real Closing Scenarios

📝Loan and Closing Inputs

Financed principal, not the purchase price.

Your note rate, not the APR.

The calendar day your loan funds and disburses.

Sets the last billable day of the month.

Some lenders divide the annual rate by 360.

Lender convention varies; the common case includes it.

A reminder only; does not change the interest math.

Controls how dollar figures display.

Per-diem interest $0.00 charged for each day
Odd days billed 0 closing day through month-end
Prepaid interest due $0.00 collected at the closing table
First payment due -- 1st of the second month

🔢Formula Snapshot

diemLoan x r / basis
daysdim - day + 1
prepaiddiem x days
1st pmt2nd month, 1st

📊Prepaid Interest by Closing Day (Your Numbers)

Closing DayOdd Days BilledPrepaid Interest
Day 1----

📋Per-Diem Interest by Loan and Rate (Actual/365)

Loan Amount4.5%5.5%6.5%7.5%
$200,000$24.66$30.14$35.62$41.10
$300,000$36.99$45.21$53.42$61.64
$400,000$49.32$60.27$71.23$82.19
$500,000$61.64$75.34$89.04$102.74
$650,000$80.14$97.95$115.75$133.56
$750,000$92.47$113.01$133.56$154.11

📅First Payment Timing by Closing Month

Closing MonthInterest Collected ForFirst Payment DueMonths Skipped
Close in JanuaryRest of JanuaryMarch 1February
Close in MarchRest of MarchMay 1April
Close in JuneRest of JuneAugust 1July
Close in SeptemberRest of SeptemberNovember 1October
Close in NovemberRest of NovemberJanuary 1December
Close in DecemberRest of DecemberFebruary 1January

🗃Close Early vs Late Comparison Grid

Closing DayOdd Days (31-mo)Diem $300k 6.5%Prepaid DueVs Day 1Basis Note
Day 131 days$53.42$1,656.16baselineActual/365
Day 527 days$53.42$1,442.47save $213.69Actual/365
Day 1022 days$53.42$1,175.34save $480.82Actual/365
Day 1517 days$53.42$908.22save $747.95Actual/365
Day 2012 days$53.42$641.10save $1,015.07Actual/365
Day 257 days$53.42$373.97save $1,282.19Actual/365
Day 284 days$53.42$213.70save $1,442.47Actual/365
Day 311 day$53.42$53.42save $1,602.74Actual/365

Formula Breakdown

Per-diem = Loan x (rate / basis)Daily interest equals the loan balance times the annual rate divided by the day-count basis. A $300,000 loan at 6.5% on a 365 basis gives 300000 x 0.065 / 365 = $53.42 per day.
Odd days = dim - day + 1Days charged run from the closing day through the last day of the month. Closing on the 15th of a 31-day month bills 31 - 15 + 1 = 17 days when the closing day is included.
Prepaid = per-diem x odd daysTotal prepaid interest is the daily charge times the number of odd days. Here $53.42 x 17 = $908.22 collected at closing.
Basis 360 raises the diemDividing by 360 instead of 365 makes each day cost slightly more. The same loan becomes 300000 x 0.065 / 360 = $54.17 per day on a 360 basis.
First payment = 1st of 2nd monthBecause closing-month interest is prepaid, the first regular payment is due the 1st day of the second month after closing. Close in March and the first payment is due May 1, skipping April.
Close later to pay lessFewer odd days means less prepaid interest. Moving from day 1 to day 25 of a 31-day month cuts the charge from 31 days to 7 days, a large reduction in cash due at the table.

💡Closing Date Cash Tips

Close near month-end to lower cash to close: On a $300,000 loan at 6.5%, each day carries about $53.42 of prepaid interest. Shifting a closing from the 1st to the 28th of a 31-day month trims roughly 27 days, cutting prepaid interest by about $1,442 you would otherwise fund up front. If your budget is tight, ask to schedule late in the month.
Do not confuse the skipped month with free money: Closing on March 20 makes your first payment due May 1, so April feels payment-free. In reality you already paid March 20 through March 31 at closing, and interest for April is built into that May 1 payment. Budget for the full mortgage payment even though the first bill arrives a month out.

If you’re a first-time homebuyer, seeing an “interest” line item on a bill before the loan even began is a jolt. Why should I pay interest on something that’s not yet earned? Where’s the hidden fee or penalty? Answer: It isn’t one. It’s just a case of calendar math.

You pay mortgage interest in arrears, so your monthly mortgage payment will be calculated based off the previous 30 days. Your next payment won’t include anything for upcoming 30 days. If you closed on March 15th, you have 16 days remaining in the month. Regular payments won’t falls on those dates. The lender gets to collect interest on those days up-front, because he wants his loan ledger to begin as if it’s already April first. That’s why we call it “odd-days” interest (or sometimes per-diem interest).

What Is Odd-Days Interest?

It depends on nearly nothing except the day of the month you sign the papers. This section breaks out just this one line item. This way, you can see precisely what all that extra time will cost in cold hard cash.

Here’s how it does it: 1.) Multiply your loan amount by your annual rate. 2.) Divide that total by three hundred sixty-five days. 3.) Voila! You have your daily cost. That number… The daily cost, is the key to the entire equation. At a six-and-a-half percent rate on a three-hundred-thousand-dollar mortgage, the daily price tag come to about fifty-three bucks. Sounds like chump change … until you consider that you’re paying for as many as thirty of them.

Most lenders apply this three-sixty-five basis; others divide by three-sixty. The latter spreads same annual interest across fewer days, which increases your daily cost a little bit. You can switch back and forth between conventions with the tool, just make sure to match the math used by your lender.

Now you know the per diem amount, the question becomes: how long does it run? That’s it: just time. They’ll bill you from your closing to very last day of the month. Typically they include your closing day as part of total. Say you’re closing on the fifteenth; well, then you get charged for seventeen days if this is a thirty-one-day month. Some months has thirty, while others may have twenty-eight or twenty-nine.

And when you’re cash-strapped at the table, it’s actualy a good idea to schedule your close at the end of the month. Shifting the date from January 1st to the 28th might save more than a grand up-front on interest on an ordinary loan. This is real money, money you pocket yourself instead of prepaying.

The other thing that surprises people: there’s some weird timing going on here. Your first regular mortgage payment isn’t scheduled to arrive until the first day of the second month following closing. If you close in March, your first bill won’t show up until May first. So April seems like a free month. No need to write any checks! Not so fast, though. You did pay for late March when you closed, and the May payment will cover all of April. That interest didn’t magically dissapears; it simply got moved into buckets marked “prepaid.” This means you’ll need to budget for two payments during those first two months after moving in, even though you’ll write just one actual check.

But how does it work? What would that look like in practice? That’s where the tool comes into play. It removes the noise of taxes, title insurance, and other closing costs. It simply displays the interest math to show exactly when you’re getting billed and how much that adds up to based on your inputs. That makes it easy to run various scenarios against each other. For example, perhaps you’d prefer to close as soon as possible so you can move into the house earlier in the month. But maybe you don’t want to tie up a bunch of cash at closing time. Plug in some different dates and you can see the tradeoff: convenience versus cost.

So what’s in the line item? Understanding this line item will clear up some of the mystery surrounding the closing process. This isn’t a markup. This isn’t a fee. This is renting someone else’s money for those final days until your first full month starts. Know how that per-diem rate works, know how many days get counted up, and enter the closing table with confidence. Know exactly where the number came from. Know if you could of waited a few more days to sign to reduce the cost. Once you know that, the charge changes from something confusing to a simple matter of managing your calendar.

Prepaid Interest at Closing Calculator – Per-Diem Odd Days