PaymentMath

Mortgage & money

Mortgage calculator

Quick answer: Your monthly payment is principal and interest plus property tax, homeowners insurance, PMI (under 20% down) and any HOA dues. Example: a $400,000 home with 20% down at 6.5% for 30 years costs $2,022.62 a month in principal and interest.

Enter a price, down payment and rate. Add your ZIP to estimate property tax from Census data, then try extra payments to see the interest you save.

Freddie Mac average, week of Oct 22, 2026:

Loan term
Taxes, insurance, PMI and HOA · 0.94% tax, $1,569/yr insurance included
Extra payments and start date · see interest saved

Where do these numbers come from?

Checked Oct 23, 2026. $320,000 borrowed at 6.5% for 30 years: this calculator gives $2,022.62 a month in principal and interest, and =PMT(6.5%/12; 360; -320000) in LibreOffice Calc (the same PMT function as Excel and Google Sheets) returns 2,022.62. At this week's Freddie Mac average of 7.32% both give $2,198.18.

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How to use this calculator

  1. Enter the home price, your down payment as a percentage and the interest rate from your quote.
  2. Type your 5-digit ZIP code to fill in the local property tax rate from Census data, or enter your own rate.
  3. Pick a loan term: 30, 20, 15 or 10 years.
  4. Adjust insurance, PMI and HOA dues if you know them.
  5. Add an extra monthly or yearly payment to see the interest saved and the new payoff date.
  6. Open the amortization schedule or download it as a CSV file.

What your monthly payment includes

Most lenders collect four things each month, often called PITI: principal (paying down the loan), interest, property tax and homeowners insurance, the last two held in an escrow account. With less than 20% down on a conventional loan you usually also pay private mortgage insurance (PMI), and condos or planned communities may add HOA dues. The calculator above shows each part separately so you can see which one drives the total.

How each number is estimated

15-year vs 30-year: what the term really costs

TermPayment on $320,000 at 6.5%Total interest
30 years$2,022.62$408,142
20 years$2,385.83$252,600
15 years$2,787.54$181,758
10 years$3,633.54$116,024

A shorter term means a higher payment but far less interest, because the balance falls faster. The calculator's term comparison does this for your own numbers.

Property tax by state

The ten states with the highest effective property tax rates (Census ACS 2020–2024). See all states and look up any ZIP on the property tax by state page.

RankStateEffective rateMedian tax paidMedian home valueTax on a $400k home
1New Jersey2.11%$9,590$454,400$8,440
2Illinois2.01%$5,298$263,300$8,040
3Connecticut1.81%$6,643$366,900$7,240
4New Hampshire1.66%$6,667$402,500$6,640
5Vermont1.59%$5,039$316,600$6,360
6New York1.55%$6,582$423,800$6,200
7Nebraska1.49%$3,549$238,600$5,960
8Texas1.49%$4,232$283,800$5,960
9Wisconsin1.42%$3,792$266,500$5,680
10Iowa1.39%$2,897$208,000$5,560

Source: U.S. Census Bureau, American Community Survey 2020–2024 5-year estimates, tables B25103 (median real estate taxes paid) and B25077 (median value of owner-occupied homes). Effective rate = median tax ÷ median value; your bill depends on your assessment, exemptions and local levies.

Payment by loan amount

Rates in the tables are a range for comparison, not current market quotes. Payments are principal and interest only unless stated.

Mortgage terms in plain English

TermWhat it means
PITIPrincipal, interest, taxes and insurance: the four parts of a typical monthly payment when taxes and insurance are paid through escrow.
EscrowAn account your loan servicer uses to collect about 1/12 of your yearly property tax and insurance each month and pay those bills when they are due.
PMIPrivate mortgage insurance on a conventional loan with less than 20% down. It protects the lender, not you.
LTVLoan-to-value: the loan balance divided by the home’s original value. PMI must end automatically at 78% LTV on schedule.
HOA duesHomeowners association fees, usually paid to the association directly rather than through the mortgage.
AmortizationThe schedule that splits each payment between interest and principal; early payments are mostly interest.

Monthly payment by interest rate

Small rate changes move the payment more than most people expect. The table below uses the same formula as the calculator, on a $320,000 loan (a $400,000 home with 20% down). Taxes, insurance and PMI are not included here, so compare these figures with the principal and interest line of your result.

Principal and interest on a $320,000 loan
Rate30-yr payment30-yr interest15-yr payment15-yr interest
5.0%$1,717.83$298,419$2,530.54$135,497
5.5%$1,816.92$334,093$2,614.67$150,640
6.0%$1,918.56$370,682$2,700.34$166,062
6.5%$2,022.62$408,142$2,787.54$181,758
7.0%$2,128.97$446,428$2,876.25$197,725
7.5%$2,237.49$485,495$2,966.44$213,959
8.0%$2,348.05$525,297$3,058.09$230,456

Each half-point of rate adds roughly $100 to $110 a month to the 30-year payment on this loan. The 15-year loan costs more each month but cuts total interest by more than half at every rate shown, because the balance is paid down faster and interest is charged on a smaller balance each month.

How your down payment changes the payment

A bigger down payment lowers the loan amount, the monthly payment and the total interest. On a conventional loan it also decides whether you pay private mortgage insurance (PMI). PMI is usually required when you put down less than 20%. Under the federal Homeowners Protection Act, you can ask your lender to cancel it once the balance reaches 80% of the home’s original value, and it must end automatically at 78% if you are current on payments. FHA, VA and USDA loans have their own mortgage insurance or funding-fee rules.

$400,000 home, 6.5%, 30 years
Down paymentLoan amountPrincipal and interestPMI on a conventional loan?
3% ($12,000)$388,000$2,452.42Yes, until the loan reaches 78% of the original value (automatic under the Homeowners Protection Act)
5% ($20,000)$380,000$2,401.86Yes, until the loan reaches 78% of the original value (automatic under the Homeowners Protection Act)
10% ($40,000)$360,000$2,275.44Yes, until the loan reaches 78% of the original value (automatic under the Homeowners Protection Act)
15% ($60,000)$340,000$2,149.03Yes, until the loan reaches 78% of the original value (automatic under the Homeowners Protection Act)
20% ($80,000)$320,000$2,022.62No
25% ($100,000)$300,000$1,896.20No

What extra payments save

Any amount you pay above the scheduled payment goes straight to principal, so every later month charges interest on a smaller balance. The savings compound. Open the extra-payments panel in the calculator above to test your own amount; the table shows the effect on the example loan.

$320,000 at 6.5% for 30 years, extra paid every month from month 1
Extra principalPaid off inTime savedInterest saved
None360 months (30 years)——
+$100/month314 months (26 y 2 m)46 months$61,698
+$200/month281 months (23 y 5 m)79 months$105,429
+$300/month254 months (21 y 2 m)106 months$138,446
+$500/month216 months (18 y 0 m)144 months$185,552

Before you prepay, check three things: that your loan has no prepayment penalty (the CFPB’s 2014 Ability-to-Repay rule bans them on most mortgages and caps them where allowed, but read your note), that you have an emergency fund, and that you are not carrying higher-rate debt such as credit cards, which are usually a better place for spare cash.

How much house can you afford?

A common starting point is the 28/36 guideline: keep your total housing payment (principal, interest, taxes, insurance, PMI and HOA dues) at or below 28% of gross monthly income, and all monthly debt payments, including the mortgage, car loans, student loans and card minimums, at or below 36%. Lenders treat these as guides, not hard limits, and many loan programs allow higher debt-to-income ratios. What a lender will approve and what fits your budget are different questions.

The 28/36 guideline, per month
Gross household income28% of monthly income (housing)36% of monthly income (all debts)
$60,000$1,400$1,800
$80,000$1,867$2,400
$100,000$2,333$3,000
$125,000$2,917$3,750
$150,000$3,500$4,500
$200,000$4,667$6,000

To turn the housing figure into a price, enter it as your target in the calculator: change the home price until the monthly total matches the 28% column, then check that the amount you would have left each month still covers savings, childcare, commuting and repairs. A useful rule of thumb for upkeep is to set aside money every year for maintenance, because roofs, water heaters and appliances wear out on their own schedule.

Fixed-rate vs adjustable-rate mortgages

A fixed-rate mortgage keeps the same interest rate, and the same principal and interest payment, for the whole term. An adjustable-rate mortgage (ARM) has a fixed rate for an opening period, often 5, 7 or 10 years, and then resets on a schedule to an index plus a margin, within caps written into the loan. ARMs can start lower, which helps if you expect to sell or refinance before the first reset, but the payment can rise later. This calculator models fixed-rate loans; for an ARM, use it to estimate the payment during the fixed period and again at the highest rate the caps allow.

Common mistakes when estimating a mortgage payment

When does refinancing pay off?

Refinancing replaces your loan with a new one, usually to get a lower rate. It costs money up front, so the useful question is how many months of lower payments it takes to earn the closing costs back. The table uses a $300,000 balance at 7.5% (principal and interest $2,097.64 a month) and assumes $6,000 of closing costs as an example; your Loan Estimate will show your real figure.

Refinancing a $300,000 balance from 7.5%, new 30-year loan
New rateNew paymentMonthly savingMonths to recover $6,000 costs
7.00% (−0.5 pt)$1,995.91$101.7459 months
6.75% (−0.75 pt)$1,945.79$151.8540 months
6.50% (−1 pt)$1,896.20$201.4430 months
6.00% (−1.5 pt)$1,798.65$298.9921 months

If you expect to sell or refinance again before the break-even month, the new loan loses money. Two more checks matter. First, a new 30-year loan restarts the clock, so a lower payment can still mean more total interest if you were already years into the old loan; compare total remaining interest, not just the payment, by running both loans through the calculator. Second, rolling closing costs into the balance avoids cash at closing but adds interest on those costs for the life of the loan.

Frequently asked questions

What does a mortgage payment include?

Principal and interest, plus usually property tax and homeowners insurance collected through escrow, PMI if you put less than 20% down on a conventional loan, and any HOA dues.

How is property tax estimated from my ZIP?

We divide the median real estate taxes paid by the median owner-occupied home value for your ZIP Code Tabulation Area (Census ACS 2020–2024) and apply that rate to your home price. Your actual bill depends on your assessed value and exemptions.

When does PMI go away?

On a conventional loan, lenders must cancel PMI automatically when the balance is scheduled to reach 78% of the original value, and you can ask to cancel at 80%. The calculator shows the month it ends.

Do extra payments really save money?

Yes. Extra principal reduces the balance that interest is charged on. On a $320,000, 30-year loan at 6.5%, an extra $200 a month saves about $105,429 in interest and pays the loan off 6 years 7 months sooner.

Is a 15-year mortgage cheaper?

The monthly payment is higher, but total interest is much lower because you borrow for half the time.

Can I download the amortization schedule?

Yes. Use Download schedule (CSV) under the results to get every payment with date, principal, interest, extra principal, PMI and balance.

Do FHA and VA loans have PMI?

No, they use different rules. FHA loans charge mortgage insurance premiums (MIP) set by HUD, including an upfront premium of 1.75% of the base loan, and the PMI cancellation rules do not apply to them. VA loans have no monthly mortgage insurance; most borrowers pay a one-time VA funding fee instead. This calculator models conventional PMI.

What is PITI?

Principal, interest, taxes and insurance: the full monthly payment when property tax and homeowners insurance are collected through escrow.

How is a monthly mortgage payment calculated?

With the standard amortization formula M = P × r(1 + r)^n ÷ ((1 + r)^n − 1), where P is the loan amount, r is the monthly rate (annual rate ÷ 12) and n is the number of payments. For $320,000 at 6.5% over 30 years (360 payments), that is $2,022.62 a month. Property tax, homeowners insurance, PMI and HOA dues are added on top.

How much house can I afford?

A common guideline is the 28/36 rule: keep housing costs (PITI) under 28% of gross monthly income and all debt payments under 36%. Many lenders allow a total debt-to-income ratio of 43% or more, depending on the loan program. On $8,000 a month of gross income, 28% is $2,240 for housing.

How much down payment do I need?

Conventional loans allow as little as 3% down, FHA loans 3.5% with a credit score of 580 or higher, and VA and USDA loans can require nothing down. Putting at least 20% down on a conventional loan avoids private mortgage insurance (PMI).

What is escrow in a mortgage payment?

Escrow is an account your loan servicer uses to collect a monthly share of your property tax and homeowners insurance along with the loan payment, then pay those bills when they are due. It is why the payment on your statement is higher than principal and interest alone.

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