A mortgage payment calculator calculates the monthly principal and interest payment from the loan amount, the annual interest rate, and the term. The Mortgage Payment Calculator on FinanceGuide takes 7 inputs and returns 6 outputs, and the headline result is monthly principal and interest. Property tax, homeowners insurance, and private mortgage insurance (PMI) feed the monthly escrow output, and homeowners association (HOA) fees sit outside every output.
Mortgage Payment Calculator
Enter the loan amount, the annual rate, and the term. The monthly payment updates as you type — no reload.
Monthly payment (principal and interest): $2,212
Monthly escrow (tax, insurance, PMI): $442
Total monthly payment (PITI): $2,654
Total interest over the term: $446,406
Total cost of the loan: $796,406
Payoff date: October 2056
Principal and interest is the headline result. Property tax, homeowner insurance, and PMI change the escrow lines only.
What does the Mortgage Payment Calculator tool specification include?
The tool specification includes 3 required inputs, 4 additional inputs, and 6 outputs. The config mortgage-payment-calculator.js defines each label, default, and range, and this specification matches the config exactly. The engine presets on load and recalculates on each input change, with no page reload.
The input table gives the 7 inputs with type, default, and range.
| # | Input | Type | Default | Accepted range |
|---|---|---|---|---|
| 1 | Loan amount (USD) | Required | $350,000 | $1,000–$5,000,000, step $1,000 |
| 2 | Annual interest rate (%) | Required | 6.5% | 0%–30%, step 0.05% |
| 3 | Term (years) | Required | 30 years | 1–40 years, step 1 year |
| 4 | Property tax (USD per year) | Additional | $3,500 | $0–$100,000, step $50 |
| 5 | Homeowners insurance (USD per year) | Additional | $1,800 | $0–$50,000, step $50 |
| 6 | PMI (percent of loan per year) | Additional | 0% | 0%–3%, step 0.05% |
| 7 | Loan start date (month and year) | Additional | Current month | Month and year |
The output table gives each of the 6 outputs with unit and rounding. Dollar outputs round to whole dollars.
| # | Output | Unit | Rounding |
|---|---|---|---|
| 1 | Monthly payment (principal and interest) | USD per month | Whole dollars |
| 2 | Monthly escrow (tax, insurance, PMI) | USD per month | Whole dollars |
| 3 | Total monthly payment (PITI) | USD per month | Whole dollars |
| 4 | Total interest over the term | USD | Whole dollars |
| 5 | Total cost of the loan | USD | Whole dollars |
| 6 | Payoff date | Month and year | Month precision |
Output 1 is the headline result, output 2 is escrow, and output 3 (PITI) sums outputs 1 and 2.
How does a borrower use the Mortgage Payment Calculator?
A borrower enters the loan amount, the annual interest rate, and the term, then reads the 6 outputs.
- Enter the loan amount, for example $350,000.
- Enter the annual interest rate, for example 6.5%.
- Enter the term, for example 30 years.
- Enter property tax at $3,500 per year and homeowners insurance at $1,800 per year.
- Enter PMI at 0% for no PMI, or a 0%–3% value with PMI.
- Set the start date, for example January 2026, for a December 2055 payoff at 30 years.
- Read $2,212 principal and interest, $442 escrow, $2,654 PITI, $446,406 total interest, and $796,406 total cost.
Each change recalculates all 6 outputs together: a rate change from 6.5% to 7.0% moves principal and interest from $2,212 to $2,329 and total interest from $446,406 to $488,281.
What formula calculates the monthly mortgage payment?
The amortization formula M = P × r × (1 + r)^n ÷ ((1 + r)^n − 1) calculates the monthly payment. M is monthly principal and interest, P is the loan amount, r is the monthly rate, and n is the payment count. The monthly rate r equals annual rate ÷ 12 ÷ 100, so 6.5% gives r = 0.0054167. The count n equals term × 12, so 30 years gives 360, 15 years gives 180, and 10 years gives 120.
The worked example traces the default loan in 4 steps. Step 1: P = $350,000, rate = 6.5%, term = 30 years. Step 2: r = 0.065 ÷ 12 = 0.0054167, n = 360. Step 3: (1.0054167)^360 = 6.9921. Step 4: M = $350,000 × 0.0054167 × 6.9921 ÷ (6.9921 − 1) = $2,212 after rounding. The engine schedule gives total interest of $446,406 and total cost of $796,406 (= $350,000 + $446,406).
At 0%, M = P ÷ n, so $350,000 ÷ 360 gives $972 per month and $0 total interest. Monthly escrow equals (tax + insurance) ÷ 12 + loan × PMI% ÷ 12: ($3,500 + $1,800) ÷ 12 = $441.67, rounding to $442, with $292 tax, $150 insurance, and $0 PMI. PITI equals $2,212 + $442 = $2,654 (exact $2,653.91).
What does the sample payment table show for the default loan?
The sample payment table shows the 10 core values of the default $350,000 loan at 6.5% for 30 years: 3 input values, 1 payment count, and 6 output values in 1 record.
| Row | Item | Value |
|---|---|---|
| 1 | Loan amount | $350,000 |
| 2 | Annual interest rate | 6.5% |
| 3 | Term | 30 years |
| 4 | Number of payments | 360 |
| 5 | Monthly principal and interest | $2,212 |
| 6 | Monthly escrow | $442 |
| 7 | Total monthly payment (PITI) | $2,654 |
| 8 | Total interest | $446,406 |
| 9 | Total cost of the loan | $796,406 |
| 10 | Payoff date from a January 2026 start | December 2055 |
Total interest at $446,406 exceeds the $350,000 loan amount by $96,406 and forms 56.05% of the $796,406 total cost. Escrow forms 16.65% of PITI, and principal and interest forms 83.35%.
What do the sample values state as sentences?
The sample values state payment and total interest for 5 loan amounts at 6.5% for 30 years. A $200,000 loan gives $1,264 per month and $255,089 total interest. A $250,000 loan gives $1,580 per month and $318,861 total interest. A $300,000 loan gives $1,896 per month and $382,633 total interest. A $350,000 loan gives $2,212 per month and $446,406 total interest. A $400,000 loan gives $2,528 per month and $510,178 total interest. A $500,000 loan gives $3,160 per month and $637,722 total interest.
Each $50,000 step adds $316 per month and $63,772–$63,773 in total interest, so payment and interest scale in direct proportion to loan amount. The $150,000 difference between $500,000 and $350,000 alone produces a $191,316 total interest difference.
How does the annual interest rate change the mortgage payment?
A higher annual interest rate increases the monthly principal and interest payment and the total interest, with loan amount and term constant. The rate-only table holds amount at $350,000 and term at 30 years across 5 rows.
| Annual rate | Monthly principal and interest | Total interest |
|---|---|---|
| 5.0% | $1,879 | $326,395 |
| 5.5% | $1,987 | $365,414 |
| 6.5% | $2,212 | $446,406 |
| 7.0% | $2,329 | $488,281 |
| 8.0% | $2,568 | $574,543 |
The 0.5 point step from 6.5% to 7.0% adds $117 per month and $41,875 in total interest, and the 3.0 point span from 5.0% to 8.0% adds $689 per month and $248,148 over 360 payments.
How does the term change the mortgage payment?
A shorter term increases the monthly principal and interest payment and decreases total interest, with loan amount and rate constant. The term-only table holds amount at $350,000 and rate at 6.5% across 5 rows.
| Term | Payments | Monthly principal and interest | Total interest |
|---|---|---|---|
| 10 years | 120 | $3,974 | $126,902 |
| 15 years | 180 | $3,049 | $198,798 |
| 20 years | 240 | $2,610 | $276,281 |
| 25 years | 300 | $2,363 | $358,968 |
| 30 years | 360 | $2,212 | $446,406 |
The 10-year term gives the lowest total cost in the table, at $126,902. The 15-year term costs $71,896 more, and the 30-year term costs $247,608 more than the 15-year term. The 10-year term raises the monthly payment by $1,762 over the 30-year term and cuts total interest by $319,504.
What does extra principal change on a mortgage loan?
Extra principal reduces the payment count, the total interest, and the payoff time on the same loan. Every extra-principal figure here comes from the amortization engine itself. The base loan is $350,000 at 6.5% for 30 years: 360 payments, $446,406 total interest.
An extra $100 per month cuts the schedule to 318 payments (−42) and total interest to $383,779, a saving of $62,627. An extra $200 per month cuts the schedule to 286 payments (−74) and total interest to $338,309, a saving of $108,097. The second $100 adds $45,470 in further saving and removes 32 further payments.
On this loan set, a term cut from 30 years to 15 years saves $247,608 and a 1 percent rate cut saves $80,992, so a term cut saves more interest than a 1 percent rate cut on this loan set, by $166,616.
What is the history of the mortgage payment in the United States?
The modern monthly mortgage payment dates from the federal housing reforms of 1933 and 1934. According to Department of Housing and Urban Development (HUD) historical summaries, the pre-1933 mortgage carried a term of 3 to 10 years, a down payment near 50%, and a balloon balance at maturity. The Home Owners’ Loan Act of 1933 created the Home Owners’ Loan Corporation (HOLC), and the HOLC refinanced distressed loans into 15-year amortizing loans. The National Housing Act of 1934 created the Federal Housing Administration (FHA), and FHA insurance standardized the long-term fully amortizing loan, at 20 and later 30 years. Fannie Mae dates from 1938, Ginnie Mae from 1968, and Freddie Mac from 1970. The Consumer Financial Protection Bureau (CFPB) dates from 2011 under the Dodd-Frank Act of 2010.
What factors change the mortgage payment?
7 factors change the mortgage payment on this calculator: loan amount, annual rate, term, property tax, homeowners insurance, PMI, and extra principal. Loan amount changes principal and interest at $316 per month per $50,000 at 6.5% for 30 years. Annual rate changes principal and interest at $117 per month per 0.5 point near 6.5% on $350,000. Term changes principal and interest by $1,762 per month between 30 years and 10 years. Property tax and homeowners insurance each change escrow at $83.33 per month per $1,000 per year. PMI changes escrow at $291.67 per month per 1% per year on $350,000, and the CFPB states a PMI cost range of $30 to $70 per month per $100,000 borrowed. Extra principal cuts 42 payments at $100 per month and 74 payments at $200 per month.
The loan-to-value ratio (LTV) connects loan amount to PMI: a conventional loan carries PMI in general at an LTV above 80%, and the exact requirement follows the loan terms. A $350,000 loan on a $437,500 value gives 80.00% LTV, and on a $400,000 value gives 87.50% LTV.
What do United States loan programs charge beyond principal and interest?
United States loan programs charge program fees beyond principal and interest, each with a distinct fee structure. The table compares 4 programs. The Federal Housing Finance Agency (FHFA) conforming loan limit is $832,750 in 2026 and $806,500 in 2025.
| Program | Upfront charge | Annual charge | Governing rule |
|---|---|---|---|
| Conventional loan | $0 program fee | PMI in general above 80% LTV, per loan terms | FHFA limit $832,750 in 2026, $806,500 in 2025 |
| FHA loan | Upfront mortgage insurance premium (MIP) 1.75% | Annual MIP 0.55% per year | FHA insurance, National Housing Act of 1934 |
| VA loan | VA funding fee 2.15% at under 5% down, first use | $0 annual mortgage insurance | Department of Veterans Affairs (VA) guaranty |
| USDA loan | Upfront guarantee fee 1% | Annual fee 0.35% per year | United States Department of Agriculture (USDA) guaranty |
On $350,000, FHA upfront MIP at 1.75% equals $6,125, the VA funding fee at 2.15% equals $7,525, and the USDA upfront fee at 1% equals $3,500. Annual charges equal $1,925 for FHA at 0.55%, $1,225 for USDA at 0.35%, and $0 for VA. A jumbo loan exceeds $832,750 in 2026, and a conforming loan sits at or under $832,750. The PMI field accepts 0%–3%, so 0.55% gives an FHA-style escrow reading and 0.35% gives a USDA-style reading.
What are the benefits and limits of the Mortgage Payment Calculator?
The Mortgage Payment Calculator gives 4 benefits and carries 5 limits.
Benefits:
- Calculate principal and interest for amounts of $1,000–$5,000,000, rates of 0%–30%, and terms of 1–40 years.
- Compare 5 rate rows, 5 term rows, and 2 extra-principal scenarios on 1 engine.
- Separate the $2,212 headline result from the $442 escrow result and the $2,654 PITI total.
- State total interest at $446,406 and total cost at $796,406 beside the monthly figures.
Limits:
- Hold the rate fixed for the full term, so an adjustable-rate mortgage schedule sits outside the engine model.
- Hold tax at $3,500 and insurance at $1,800 per year as constants.
- Place HOA fees outside every output and closing costs outside the 6 outputs, so $2,654 PITI is a loan payment total, not a full housing cost total.
- Present an estimate from entered values; a lender quote under Fannie Mae, Freddie Mac, FHA, VA, or USDA underwriting is a separate document.
- Hold PMI constant at the entered percent, so a PMI removal point at 80% or 78% LTV sits outside the output set.
How does the Mortgage Payment Calculator differ from the Mortgage Affordability Calculator?
The Mortgage Payment Calculator calculates a payment from a loan, and the Mortgage Affordability Calculator calculates a loan size from income and debts. This calculator takes loan amount, rate, and term and returns the payment as output 1. The Mortgage Affordability Calculator takes income, debts, and a debt-to-income ratio and returns an affordable loan amount. The $2,212 and $2,654 PITI figures enter the affordability reading as the housing payment.
Frequently asked questions about the Mortgage Payment Calculator
What is PITI on a mortgage loan?
PITI is principal, interest, property tax, and homeowners insurance in 1 monthly total: $2,212 + $442 escrow = $2,654 on the default loan, with $292 tax, $150 insurance, and $0 PMI.
What is the monthly payment on a $350,000 mortgage at 6.5% for 30 years?
The monthly principal and interest payment is $2,212. Total interest is $446,406, total cost is $796,406, and PITI is $2,654.
What payment does a 0% interest rate produce?
A 0% rate produces $972 per month and $0 total interest on $350,000 over 30 years, from $350,000 ÷ 360 = $972.22 before rounding.
When does PMI apply to a conventional loan?
PMI applies in general to a conventional loan at an LTV above 80%, and the exact requirement follows the loan terms. The CFPB range of $30–$70 per month per $100,000 gives a $105–$245 reading on $350,000.
What mortgage term costs the least in total interest?
The 10-year term costs the least, at $126,902 on $350,000 at 6.5%. The 15-year term costs $198,798, the 20-year $276,281, the 25-year $358,968, and the 30-year $446,406.
What does an extra $100 per month change on a $350,000 mortgage?
An extra $100 per month cuts total interest by $62,627 and removes 42 payments (360 to 318 payments, $446,406 to $383,779), per the amortization engine.
What costs sit outside the 6 outputs of the calculator?
HOA fees and closing costs sit outside the 6 outputs, as separate line items beside the $2,654 PITI figure.
How does the payoff date form on a mortgage loan?
The payoff date forms from start date plus term, and extra principal shortens the date: January 2026 + 30 years = December 2055 across 360 payments, and an extra $200 per month gives 286 payments.
What does the Mortgage Payment Calculator summary state?
A mortgage payment calculator calculates the monthly principal and interest payment from the loan amount, the annual interest rate, and the term. On $350,000 at 6.5% for 30 years, the calculator gives $2,212 principal and interest, $442 escrow, $2,654 PITI, $446,406 total interest, $796,406 total cost, and a December 2055 payoff date from January 2026. Tax, insurance, and PMI feed escrow, and HOA fees sit outside every output.
Internal links: Mortgage Payment Calculator variants by amount, rate, term, and state | Mortgage payment result pages | Mortgage Amortization Calculator | Mortgage Refinance Calculator | Mortgage Affordability Calculator | Rent vs Buy Calculator (reverse comparison) | Root 8 hub — Mortgages and Home Finance | What is a mortgage? | Closing costs