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Mortgage Payoff Calculator

Estimate standard mortgage repayment from principal, rate, and term assumptions.

Optional annual property tax estimate.

Optional annual home insurance estimate.

Optional monthly PMI estimate. This is a placeholder input, not PMI eligibility logic.

Status: initial

Results

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Calculator guide

Introduction

Use this mortgage payoff calculator for a basic mortgage payment and repayment estimate.

Purpose

Built for standard amortized mortgage estimates only; extra-payment payoff acceleration, taxes, insurance, and lender rules are not included.

Mortgage payment formula

The standard mortgage formula calculates the monthly principal and interest payment for a fixed-rate amortizing loan. Optional taxes, insurance, and PMI are added separately to estimate total monthly cost.

Variable explanations

Home price

The purchase price of the property.

Down payment

The amount paid upfront, reducing the mortgage principal.

Interest rate

The annual interest rate used to calculate monthly interest.

Loan term

The number of years over which the mortgage is repaid.

Taxes and insurance

Optional annual estimates that affect monthly housing cost.

PMI

An optional monthly private mortgage insurance placeholder.

Formula guide

Monthly principal and interest

M = P x r x (1 + r)^n / ((1 + r)^n - 1)

  • P is loan principal.
  • r is monthly interest rate.
  • n is number of monthly payments.

This formula spreads principal and interest across the full loan term.

Zero-interest mortgage

M = P / n

  • P is loan principal.
  • n is number of monthly payments.

When interest is 0%, the payment is principal divided equally by months.

Loan amount

Loan Amount = Home Price - Down Payment

  • Down payment can be entered as an amount or percentage.

The mortgage principal is the portion of the home price financed by the loan.

Estimated total monthly payment

Total Monthly = Principal and Interest + Property Tax / 12 + Insurance / 12 + PMI

  • Tax and insurance are annual estimates.
  • PMI is a monthly placeholder.

This provides a broader monthly payment estimate beyond principal and interest.

Worked examples

30-year fixed mortgage

  1. Home price is 300,000.
  2. Down payment is 60,000.
  3. Loan amount is 240,000.
  4. At 6.5% for 30 years, principal and interest is about 1,517 per month.

Down payment percentage

  1. Home price is 400,000.
  2. Down payment is 20%.
  3. Down payment amount is 80,000.
  4. Loan principal is 320,000.

Taxes and insurance

  1. Annual property tax is 3,600.
  2. Annual home insurance is 1,200.
  3. Monthly tax is 300 and monthly insurance is 100.
  4. These are added to principal and interest.

Zero-interest example

  1. Loan amount is 120,000.
  2. Term is 10 years or 120 months.
  3. Interest rate is 0%.
  4. Monthly principal and interest is 1,000.

Common mistakes

Ignoring taxes and insurance

Principal and interest may be lower than the full monthly housing cost.

Using list price as loan amount

Loan amount is home price minus down payment.

Forgetting PMI

PMI may apply in some cases; this calculator accepts a monthly placeholder estimate.

Comparing different terms

Shorter terms usually increase monthly payment but reduce total interest.

Treating estimates as approvals

Actual lender payments depend on underwriting, fees, escrow, taxes, and insurance.

FAQs

How is a mortgage payment calculated?
It uses the amortizing loan formula with loan principal, monthly interest rate, and number of payments.
What is principal and interest?
Principal repays the loan balance, while interest is the borrowing cost.
Does this include property tax?
Property tax is optional. Enter an annual estimate to include it monthly.
Does this include home insurance?
Home insurance is optional. Enter an annual estimate to include it monthly.
Does this calculate PMI automatically?
No. It includes a monthly PMI placeholder if you enter one.
Can I enter down payment as a percentage?
Yes. Choose percentage and enter the down payment percent.
Can down payment exceed home price?
No. Down payment cannot exceed home price.
What happens at 0% interest?
The monthly payment is loan principal divided by number of months.
What is amortization?
Amortization is how each payment is split between principal and interest over time.
What is total interest?
Total interest is total principal-and-interest payments minus the original loan amount.
What is total repayment?
Total repayment is all scheduled principal and interest payments over the term.
Is this calculator global?
It uses standard fixed-rate amortization and USD display for this release; local taxes and fees vary.
Does this replace lender quotes?
No. It is an educational estimate and not a mortgage offer.
What is the maximum term supported?
The calculator supports terms up to 50 years.
What related calculator should I use for other loans?
Use the Loan Calculator or EMI Calculator for non-mortgage loan scenarios.

References

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Last updated and version history

Last updated: 2026-07-10

  • 1.0.0 (2026-07-10): Added mortgage payoff keyword variant backed by the mortgage calculator engine.