CalculationTime

Mortgage Calculator

Estimate a US-style monthly mortgage payment with principal and interest, property tax, home insurance, PMI and HOA shown separately for a clearer house-buying budget.

Live math canvas

Your numbers, formula and explanation together

The live canvas is substituting $500,000, $100,000, 6.5% and 30 years into the mortgage formula, so the explanation follows the edited loan assumptions.

Formula applied

The exact method behind this answer

CalculationTime keeps the method visible so the number can be checked instead of blindly trusted.

Loan amount = $500,000 − $100,000 = $400,000. Principal and interest = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), with P = $400,000, r = 0.00541667, n = 360 payments. Estimated monthly cost = $2,528.27 + $550 = $3,078.27.
  1. Substitute the current loan amount$500,000 − $100,000$400,000The payment formula starts from the amount actually borrowed, not the home price alone.
  2. Substitute the current payment variablesP = $400,000; r = 0.00541667; n = 360 payments$2,528.27These values feed the fixed-rate monthly principal-and-interest formula.
  3. Add the current housing cost layers$2,528.27 + $550$3,078.27Taxes, insurance, PMI and HOA stay visible as planning layers rather than being hidden inside the loan payment.
  4. Crawler-safe baseline$500,000 − $100,000; P = $400,000, r = 0.00541667, n = 360$2,528.27 principal and interest; $3,078.27 with default tax and insuranceThe server-rendered default state gives crawlers concrete mortgage arithmetic before any user interaction.

Your live breakdown

Your Live Breakdown

Right now the page is testing $500,000 with $100,000 down, leaving $400,000 financed at 6.5% over 30 years. The current principal-and-interest estimate is $2,528.27, and visible monthly cost layers bring the planning total to $3,078.27.

Home price
$500,000
The purchase price or property value being tested.
Down payment
$100,000
Cash paid upfront before the mortgage principal is calculated.
Loan amount
$400,000
Home price minus down payment.
Interest rate
6.5%
Nominal annual fixed mortgage rate.
Monthly rate
0.00541667
Annual rate divided by 12 and converted to decimal form.
Loan term
30 years
Mortgage term in years.
Payment count
360 payments
Loan term multiplied by 12 monthly payments.
Principal and interest
$2,528.27
Estimated fixed monthly loan payment before optional housing costs.
Optional monthly costs
$550
Property tax, insurance, PMI and HOA entered as monthly planning layers.
Estimated monthly housing cost
$3,078.27
Principal and interest plus the visible monthly cost layers.

Resulting answer

$3,078.27/month

Loan $400,000.00 after $100,000.00 down (20.0%). Principal and interest $2,528.27; monthly taxes/insurance/PMI/HOA $550.00. 360 payments at 6.5% estimates $510,177.95 total interest. Housing DTI 30.8%.

Answer
$3,078.27/month
Live support
Loan $400,000.00 after $100,000.00 down (20.0%). Principal and interest $2,528.27; monthly taxes/insurance/PMI/HOA $550.00. 360 payments at 6.5% estimates $510,177.95 total interest. Housing DTI 30.8%.

Assumptions used

What this answer assumes

US-first mortgage planning estimate. Keep the cost breakdown and exclusions beside the answer before making lender or purchase decisions.

  • US dollars are used by default because the first traffic target is the US mortgage-search market.
  • The payment formula estimates a fixed-rate monthly principal-and-interest payment.
  • Property tax, home insurance, PMI and HOA are simple monthly planning inputs, not official escrow or lender disclosures.
  • Annual cost escalation applies only to property tax, insurance, PMI and HOA planning lines, not the fixed principal-and-interest payment.
  • Closing costs, lender fees, APR rules, refinance costs, variable-rate changes, tax deductions and local legal rules are not modeled.
  • This is planning arithmetic only, not lending, legal, tax or financial advice.

Master’s Tip

How to use the result well

Master’s Tip: compare the same home at 15, 20 and 30 years, then print a second report with a one-point higher rate. That shows whether affordability depends on a fragile rate assumption.

Printable record

What belongs in the saved calculation

Save the inputs, result, formula, assumptions, page URL and date together so the calculation can be reviewed later.

Home price
500,000 USD
Purchase price or property value. Start here before comparing loan terms.
Down payment
100,000 USD
Cash paid upfront. The loan amount is home price minus down payment.
Interest rate
6.5 % yearly
Nominal annual fixed mortgage rate used for the principal-and-interest payment.
Loan term
30 years
Common US presets are 15, 20 and 30 years. Longer terms lower the payment but can raise total interest.

Embeddable calculator

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Formula

Loan amount = home price − down payment. Monthly principal-and-interest payment = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is loan principal, r is monthly interest rate and n is total monthly payments. Estimated monthly cost = principal and interest + property tax + insurance + PMI + HOA. Extra-payment and biweekly comparisons simulate monthly amortization with the same interest rate.

Worked example

Home price 500,000 minus down payment 100,000 gives a 400,000 loan. At 6.5% annual interest, the monthly rate is 0.065 ÷ 12. Over 30 years there are 360 payments, so the fixed principal-and-interest payment is about 2,528.27. Add 400 property tax, 150 insurance, 0 PMI and 0 HOA for an estimated monthly housing cost of about 3,078.27.

Professional note

Master’s Tip: compare the same home at 15, 20 and 30 years, then print a second report with a one-point higher rate. That shows whether affordability depends on a fragile rate assumption.

Regional and unit assumptions

Standard or basis: US-first fixed-rate amortising mortgage arithmetic with monthly payments. The page is globally readable but does not claim compliance with any lender, APR, escrow, tax or consumer-credit disclosure rule.

Assumptions and limitations

Methodology & Accuracy

How this calculator is checked

CalculationTime pages are built around visible arithmetic: the formula, assumptions, worked example and practical limitations are shown so the result can be checked rather than simply trusted.

Formula used

Loan amount = home price − down payment. Monthly principal-and-interest payment = P × r × (1 + r)^n ÷ ((1 + r)^n − 1), where P is loan principal, r is monthly interest rate and n is total monthly payments. Estimated monthly cost = principal and interest + property tax + insurance + PMI + HOA. Extra-payment and biweekly comparisons simulate monthly amortization with the same interest rate.

Standard or basis

Standard or basis: US-first fixed-rate amortising mortgage arithmetic with monthly payments. The page is globally readable but does not claim compliance with any lender, APR, escrow, tax or consumer-credit disclosure rule.

Where a calculator follows a named legal, trade or industry standard, that standard is cited visibly. Otherwise the page uses transparent general arithmetic and states its limits.

Master's Tip

Master’s Tip: compare the same home at 15, 20 and 30 years, then print a second report with a one-point higher rate. That shows whether affordability depends on a fragile rate assumption.

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Questions

How do you calculate a mortgage payment?

Subtract the down payment from the home price to get the loan amount, convert the annual rate to a monthly rate, then apply the fixed-payment loan formula across the total number of monthly payments.

Does this include taxes, insurance, PMI and HOA?

Yes, as optional monthly planning fields. The calculator shows principal and interest separately, then adds property tax, home insurance, PMI and HOA to estimate the fuller monthly housing cost.

Is this the same as an official lender quote?

No. A lender quote may include APR rules, fees, escrow treatment, discount points, mortgage insurance rules and local disclosures. This page is transparent planning arithmetic.

Why does the down payment matter?

The down payment lowers the loan amount. It can also affect mortgage-insurance requirements in real lending, though this calculator only includes PMI if you enter it as a monthly amount.

Why compare 15-year and 30-year terms?

A shorter term usually raises the monthly payment but can sharply reduce total interest. A longer term can feel easier monthly while costing more over the life of the loan.

Calculation note

Mortgage calculators are popular because house-hunting turns one large price into a monthly household decision. A strong mortgage page must not hide the difference between principal-and-interest math and the fuller monthly cost of owning the property.

Start with the real borrowed amount

Home buyers think in purchase price, but the payment formula needs the loan principal. Separating home price and down payment prevents the most common early confusion.

Principal and interest are only the core payment

CalculatorTime shows the fixed loan payment first, then adds taxes, insurance, PMI and HOA as visible monthly layers. That is clearer than blending everything into one unexplained number.

The term controls the trade-off

Thirty-year loans often lower the monthly payment, while fifteen-year loans can reduce lifetime interest. The report should make that trade-off obvious rather than bury it in fine print.

A premium report beats a quick answer

The printable record is designed for a buyer, partner, broker or classroom discussion: assumptions, formula, cost layers and exclusions stay attached to the number.

Sources and further readingConsumer Financial Protection Bureau: Explore interest ratesConsumer Financial Protection Bureau: Loan Estimate explainerConsumer Financial Protection Bureau: What is private mortgage insurance?