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Instrument MI-02-430 · Finance

PITI Calculator

Enter the loan, the rate, the term, and the tax and insurance bills. The instrument adds all four into PITI — the figure a loan estimate actually prints.

Instrument MI-02-430
Sheet 1 OF 1
Rev A
Verified
Type 02 — Mortgages SER. 2026-02430

Total PITI payment, $/mo

$2,395.91

P&I = L·r(1+r)^N ⁄ ((1+r)^N − 1)

$1,995.91 Principal & interest, $/mo
The working Every figure verified twice
  1. principalInterest = 300000·(7 ⁄ 1200)·(1 + 7 ⁄ 1200)^(30·12) ⁄ ((1 + 7 ⁄ 1200)^(30·12) − 1) = 1,995.91
  2. totalPiti = 1995.9075 + 3600 ⁄ 12 + 1200 ⁄ 12 = 2,395.91
Worksheet log
  1. No entries yet — change an input to log a scenario.

How this instrument works

PITI is not a formula so much as a checklist: principal, interest, taxes, insurance, the four pieces a lender bundles into one monthly mortgage bill. Real estate courses teach it as a single word because a payment quoted from rate alone — the number most listing sites and rate-shopping tools print — routinely undercounts what actually leaves an account once a loan closes. This instrument keeps both halves visible separately: Principal & interest, $/mo is the amortizing loan payment alone, and Total PITI payment, $/mo is what a servicer collects once tax and insurance are folded in.

The reason it matters beyond arithmetic is that this combined figure is the exact number underwriters divide by gross monthly income to build a front-end housing ratio — the 28 side of a classic 28/36 qualifying guideline. A borrower comparing two houses at the same loan amount and rate can pass or fail that test purely on the size of the property tax bill, since tax and insurance ride inside the numerator alongside principal and interest, not outside it. A rate-only payment cannot answer whether one specific house fits one specific income.

Tax and insurance are entered here as flat annual figures and divided by twelve, matching how an escrow account actually works: rather than paying the county or the insurer directly, a borrower deposits one-twelfth of each bill every month, and the servicer pays those bills when they come due, often once or twice a year rather than monthly. This sheet does not add private mortgage insurance or a homeowners association due — both are separate charges some loans and some properties carry on top, outside the classic four-piece acronym itself.

PI=Lr(1+r)N(1+r)N1PI = \dfrac{L \cdot r(1+r)^{N}}{(1+r)^{N}-1}PITI=PI+T12+I12PITI = PI + \dfrac{T}{12} + \dfrac{I}{12}
L — loan amount · r — annual rate ÷ 1200, the monthly decimal rate · N — term in years × 12, the number of monthly payments · PI — the principal-and-interest payment · T — annual property tax · I — annual homeowners insurance · PITI — all four combined into one monthly figure.
  • Enter the borrowed amount in Loan amount, $ and the quoted rate in Annual interest rate, %.
  • Set Loan term, years to match the mortgage — 30 and 15 are the common terms worth comparing.
  • Add the county's current bill to Annual property tax, $ and your policy premium to Annual homeowners insurance, $.
  • Read Principal & interest, $/mo for the loan payment alone, then Total PITI payment, $/mo for what actually gets collected each month.

Worked example — a $300,000 loan at 7% over 30 years

Set Loan amount, $ to 300,000, Annual interest rate, % to 7, and Loan term, years to 30. The amortizing-payment formula alone returns Principal & interest, $/mo of $1,995.91 — the number a bare loan-payment tool would show and stop at.

Add Annual property tax, $ of 3,600 and Annual homeowners insurance, $ of 1,200: each divides by twelve into $300.00 and $100.00 a month, and Total PITI payment, $/mo lands at $2,395.91. That $400 gap between the two readouts is exactly what a front-end ratio test or a debt-to-income calculation actually divides against income — not the $1,995.91 a rate quote alone would suggest.

Questions

What does the PITI acronym actually stand for?

Principal, interest, taxes, insurance — the four pieces bundled into one monthly mortgage bill. Real estate licensing courses teach it as a single word because a bare loan-payment quote covers only the first two letters; a lender's actual bill, and the escrow account funding it, always carries all four.

Why does my mortgage payment look higher than the rate I was quoted?

A quoted rate only prices Principal & interest, $/mo, the amortizing loan payment. Total PITI payment, $/mo adds one-twelfth of the property tax bill and one-twelfth of the insurance premium on top, because a servicer collects both inside the same monthly draft rather than billing them separately.

How does this figure connect to a front-end debt ratio?

It is the ratio's numerator. A front-end or housing ratio divides Total PITI payment, $/mo by gross monthly income, so two loans identical in amount and rate can pass or fail that test purely on the size of the tax bill or insurance premium riding along with principal and interest.

What is an escrow cushion, and is it included here?

No — this sheet divides the annual tax and insurance bills evenly by twelve. Many servicers collect a little more than that, holding a cushion of up to roughly two months of disbursements as a buffer against a bill arriving before enough has accumulated in the account, so a real closing disclosure often runs a touch above this figure.

Does this include PMI or a homeowners association fee?

No. Principal, interest, taxes and insurance are the classic four; private mortgage insurance and HOA dues are separate charges some loans and some properties carry on top, priced and collected differently. A loan with 20% equity and no association has an identical result to one that needs both — the extra charges simply do not appear in this figure.

Why might my tax or insurance portion change year to year on a fixed rate?

Principal & interest, $/mo is fixed by the loan itself and never moves. Property tax and insurance sit outside the loan — a county reassessment or a renewed policy can raise or lower the actual bill, and a servicer periodically reruns an escrow analysis to reset the monthly deposit to match, which is why a fixed-rate loan's total payment can still shift.

References

Read this first: This instrument shows arithmetic, not advice. Real offers add fees, taxes and terms that vary by lender and place — verify the figures against your actual paperwork before deciding anything.