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Financial

Mortgage Calculator

Use this mortgage calculator to estimate a monthly home loan payment from the purchase price, down payment, interest rate, loan term, taxes, and insurance.

mortgagehome loanmonthly paymentinterestprincipalhouse payment

Calculator

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Monthly Payment Breakdown

See how principal, interest, tax, and insurance contribute to the payment.

Principal & interest$2,022.62
Monthly tax$400.00
Insurance$140.00
Total monthly$2,562.62

Mortgage Amortization Snapshot

Year 1
$3,576.72 principal / $20,694.69 interest / $316,423.28 balance
Year 2
$3,816.26 principal / $20,455.15 interest / $312,607.02 balance
Year 3
$4,071.84 principal / $20,199.57 interest / $308,535.17 balance
Year 4
$4,344.54 principal / $19,926.87 interest / $304,190.63 balance
Year 5
$4,635.50 principal / $19,635.91 interest / $299,555.13 balance
Year 6
$4,945.95 principal / $19,325.46 interest / $294,609.18 balance

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Trust note

Important estimate

This calculator is informational and should be verified before financial, health, legal, engineering, laboratory, or safety-critical decisions.

High risk contextDifficulty: advancedConfidence estimate: 92/100Reviewed 2026-06-25Reviewed by: AZCalculate finance calculator reviewCalculator v2.1 / Formula v2.12 sources listed

Formula and Explanation

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

The calculator uses the standard amortization formula for principal and interest, then adds optional monthly tax and insurance estimates.

Variable descriptions

M
Payment: The periodic payment produced by the formula.
P
Principal: The starting amount, loan balance, or initial value.
r
Rate: The rate used for each calculation period.
n
Number of periods: The number of payments, intervals, or observations.

Formula Notes

  • Use consistent units for values that are multiplied, divided, or compared.
  • Results may be rounded for readability, while the calculator keeps greater precision internally.
  • Rates, fees, taxes, and lender conventions can change the real-world total.

Common uses

  • Buy a home
  • Compare loan terms
  • Estimate monthly payment
  • Plan affordability

Assumptions

What this calculation assumes

  • The model uses a fixed-rate monthly amortization schedule.
  • Property tax and insurance values are estimates entered by the user.
  • PMI, HOA dues, closing costs, and lender fees are not included unless entered separately.

Avoid mistakes

Quick checks before you rely on the result

  • Forgetting property tax, insurance, PMI, and maintenance.
  • Comparing only the monthly payment.
  • Using a rate quote without checking points and APR.

Step-by-Step Explanation

Follow the reasoning, not only the final number.

  1. 1

    Set up the calculation

    Subtract the down payment from the home price to find the loan principal.

    Starting with clearly defined values and units prevents the most common calculation errors.

  2. 2

    Work through step 2

    Convert the annual interest rate into a monthly rate.

    This step transforms the known values into the form required by the formula.

  3. 3

    Work through step 3

    Multiply the loan term by 12 to calculate the number of payments.

    This step transforms the known values into the form required by the formula.

  4. 4

    Work through step 4

    Apply the amortization formula to estimate monthly principal and interest.

    This step transforms the known values into the form required by the formula.

  5. 5

    Interpret the result

    Add monthly taxes and insurance when provided.

    Compare the result with your real-world goal, such as buy a home.

Worked example

Example mortgage payment

Known values

  • Home price: $400,000
  • Down payment: $80,000
  • Interest rate: 6.5%
  • Term: 30 years

Calculation

  1. 1. Loan principal is $320,000.
  2. 2. Monthly rate is 0.065 / 12.
  3. 3. Total payments are 360.

Result and meaning

Estimated principal and interest payment is about $2,023 per month.

Calculator guide

About this Mortgage Calculator

Estimate monthly mortgage payments, total interest, principal, and payoff cost. This page includes an interactive calculator, concise formula notes, worked examples, FAQs, related calculators, and practical guidance you can revisit whenever needed.

References

Sources used for this calculator

Found something that does not look right?

We work hard to keep every calculator accurate and useful. If you notice a calculation error, missing option, or unclear explanation, please let us know so we can review and correct it promptly.

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Calculator usage

Usage information loads after the calculator is ready.

FAQ

Mortgage Calculator FAQs

Does this mortgage calculator include taxes and insurance?+

Yes. You can enter yearly property tax and monthly insurance to include them in the monthly estimate.

Why is my lender quote different?+

Lender quotes can include points, fees, PMI, escrow rules, local taxes, and underwriting assumptions.

Can I share my mortgage result?+

Yes. Use copy, print, or page sharing tools to reuse the result.

What is included in the mortgage estimate?+

The calculator includes principal, interest, and optional property tax and insurance values entered by the user.

Does it include PMI?+

Not directly. Add PMI as an additional monthly cost if it applies to your loan.

How does down payment affect the result?+

A larger down payment lowers the loan principal and can reduce monthly payment and total interest.

Can I compare 15-year and 30-year loans?+

Yes. Change the term and compare monthly payment, total interest, and total cost.

Should I include property taxes?+

Yes, if you want a fuller monthly housing estimate. Enter the annual property tax value.

Can interest rates change?+

Fixed-rate loans keep the rate steady, while adjustable-rate loans can change. This calculator models a fixed-rate scenario.

Is this an affordability calculator?+

It estimates payments. For affordability, also consider income, debts, savings, maintenance, local taxes, and emergency reserves.

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Mortgage Calculator - Monthly Payment, Interest, Taxes and Insurance | AZCalculate