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Mortgage Payment Calculator

Monthly principal & interest, total interest over the life of the loan, a full amortization schedule, and what extra payments do to your payoff date.

Your loan

Monthly payment (PITI)
$3,178
P&I $2,528 · tax $500 · ins $150
Principal & interest
$2,528
$400,000 loan
Total interest
$510,178
Over the life of the loan
Payoff date
—
360 payments
PMI
None
20% down — no PMI needed
Total cost of loan
$1,244,178
Price + interest + tax + insurance + PMI + HOA

Where your monthly payment goes

P&I$2,52880%
Property tax$50016%
Home insurance$1505%

Balance vs. interest over time

-$20,407$119,892$260,191$400,490$540,789Yr 1Yr 16Yr 30
Remaining balanceCumulative interest
Yearly amortization schedule
YearInterestPrincipalBalance
1$25,868$4,471$395,529
2$25,569$4,770$390,759
3$25,249$5,090$385,669
4$24,909$5,431$380,238
5$24,545$5,794$374,444
6$24,157$6,182$368,261
7$23,743$6,596$361,665
8$23,301$7,038$354,627
9$22,830$7,510$347,117
10$22,327$8,013$339,105
11$21,790$8,549$330,555
12$21,218$9,122$321,434
13$20,607$9,733$311,701
14$19,955$10,384$301,316
15$19,259$11,080$290,237
16$18,517$11,822$278,415
17$17,726$12,614$265,801
18$16,881$13,458$252,342
19$15,979$14,360$237,983
20$15,018$15,322$222,661
21$13,992$16,348$206,314
22$12,897$17,442$188,871
23$11,729$18,611$170,260
24$10,482$19,857$150,403
25$9,152$21,187$129,217
26$7,734$22,606$106,611
27$6,220$24,120$82,491
28$4,604$25,735$56,756
29$2,881$27,459$29,298
30$1,042$29,298$0

How the math works

The monthly payment comes from the standard amortization formula: M = P · r(1+r)^n / ((1+r)^n − 1), where P is the loan amount, r is the monthly interest rate (annual rate ÷ 12), and n is the number of payments. Each month, the interest portion is the current balance × r; the rest of the payment reduces principal. Early payments are mostly interest; late payments are mostly principal.

Extra monthly payments go straight to principal (after that month's interest is covered). A smaller balance means less interest accrues next month, which compounds — that's why even $100 extra can shave years off a 30-year loan. The schedule above is simulated month by month, so extra payments are reflected exactly.

PITI adds property tax and insurance (÷ 12) to P&I — it's the number lenders use to qualify you and the closest to your actual monthly outlay. PMI and HOA dues are not modeled; as a workaround, add HOA dues to the insurance field.

Common questions

What does PITI mean?+

Principal, Interest, Taxes, Insurance — the four components of a typical mortgage payment. Online calculators often show only P&I, which can understate your real payment by 25–40% once tax and insurance are included.

Why do extra payments go straight to principal?+

Your required payment always covers that month's interest first. Anything above it has no interest left to pay, so it reduces the balance directly. A lower balance means less interest accrues the next month, and the effect compounds over the life of the loan.

15-year vs 30-year — which is better?+

A 15-year loan usually carries a lower rate and dramatically less total interest, but the monthly payment is much higher. The right answer depends on cash flow, not just interest saved: a 30-year loan with voluntary extra payments gives you similar interest savings with the flexibility to skip the extra in a tight month.

Does this include PMI or HOA dues?+

No. If your down payment is under 20%, add the monthly PMI premium to the insurance field as an approximation. HOA dues can go in the insurance field too — they're a fixed monthly cost the same way.

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