Empirical PITI & Amortization Calculator

U.S. Mortgage Calculator

Estimate the full monthly cost of buying a home in the United States: principal, interest, property taxes, homeowners insurance, PMI, and HOA dues. Compare down payments, loan terms, and extra principal payments before you speak with a lender.

✓ Complete PITI Breakdown
✓ Amortization Schedule & Chart
✓ Extra Payment Payoff Simulator
✓ 100% In-Browser Privacy — No Data Stored
Reviewed & Maintained by Abdallah Elmoustahyi
Popular homebuyer guides: Affordability on a $75k salary Payment on a $300k home Cash needed to buy Mortgage credit preparation

Mortgage Loan Details

Adjust any value for instant results

Presets Quick Scenario:
Currency:
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The default 6.50% is an illustrative starting point, not a live rate quote. Enter the rate offered by your lender.
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Side-by-Side Scenario Comparison OPTIONAL

Compare this loan against a hypothetical alternative rate or term side by side

Quick Test:
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Your Scenario 30-Yr @ 6.50%
$2,523
Principal & Interest: $2,023/mo
Total Interest Paid: $408,142
Total Loan Cost: $908,142
Scenario B (Alternative) 15-Yr @ 5.75%
$3,158
Principal & Interest: $2,657/mo
Total Interest Paid: $158,316
Total Loan Cost: $658,316
Higher Payment, Lifetime Interest Savings: +$635/mo, but saves $249,826 in total interest!
+$635/mo
📈 Scenario Comparison & Recovery Analysis

Evaluate monthly cash flow differences, break-even timelines, and lifetime interest savings.

🎯 Status: Select Preset
Closing Costs
$4,000
Monthly Impact
$0/mo
Break-Even / Speed
–
Net Benefit
–

Mortgage Payment Calculator with PMI and Taxes

$2,523
Principal & Interest
$2,023
Property Tax
$400
Home Insurance
$100
HOA Fees
$0
Private Mortgage Ins. (PMI)
$0
Exact PITI & PMI Escrow Breakdown: Standard Underwriting Baseline
Payment Component Monthly Cost % of PITI Underwriting Basis & Federal Rule
Principal & Interest $2,023 80.2% Contractual note payment (30-year amortizing debt)
County Property Tax $400 15.9% Local municipality ad valorem tax escrow
Homeowners (Hazard) Ins. $100 3.9% Replacement cost hazard coverage escrow
Private Mortgage Ins. (PMI) $0 0.0% None (Down payment ≥ 20% / LTV ≤ 80%)
💡 Federal PMI Cancellation Rule (HPA 1998): Conventional loans with more than 80% LTV commonly require borrower-paid PMI, although lender-paid mortgage insurance and other loan structures can differ. For covered borrower-paid PMI, the Homeowners Protection Act of 1998 (12 U.S.C. § 4901 et seq.) generally lets you request cancellation in writing when the balance reaches 80% of the home's original value, subject to payment-history, current-payment, and lien requirements. The servicer generally must automatically terminate PMI when the scheduled balance reaches 78% of original value, if payments are current. These federal rules do not govern FHA MIP or VA funding fees.
Recommended Next Steps For Estimated Payment:
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⚡ Step 1: Lower Your Rate
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Mortgage pricing can consider credit scores along with loan-to-value, loan type, occupancy, property, debt-to-income, and other factors. Improving a credit profile may help, but no specific point increase guarantees a lower rate or a particular savings amount:

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Side-by-side comparison of your Equifax, Experian, and TransUnion files—the exact 3 bureaus mortgage underwriters pull.

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Simulate paying off credit card balances or increasing credit limits to see how your score and monthly mortgage payment respond.

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Loan Summary & Payoff Estimates
Loan Amount
$320,000
Total Interest Paid
$408,142
Total Housing Cost (PITI+HOA over term)
$908,142
Loan Payoff (P&I): $728,142
Payoff Date
Aug 2056
First payment: Sep 2026
Next Step: Compare loan program eligibility (Conventional vs FHA vs VA vs USDA) for this scenario.
Compare Loan Programs →
Salary Needed to Buy & "House Poor" Safety Check SAFE (28% RULE)

How much annual household income do you realistically need to afford this mortgage without becoming financially stressed?

Recommended Income (28% Rule)
MINIMUM INCOME AT 36% (AGGRESSIVE)
$84,100 / yr
~$7,008 gross / month
Note: 36% DTI covers total debt obligations (housing + car loans + student loans + credit cards), not housing alone.
Est. Net Take-Home Needed
$7,645 / mo
Assuming ~33% net take-home housing allocation
Safe (< 28%) Moderate (28% – 35%) House Poor Risk (> 36%)
⚡ Extra Payment Interest Savings & Accelerated Payoff ACCELERATED PAYOFF

See how adding extra principal payments slashes total interest over time and accelerates your debt-free date compared to your original term.

$
Total Interest Saved
$61,698
15.1% less total interest
Time Shortened
3 Yrs 10 Mos
46 fewer monthly payments
Original vs Accelerated Term
30 Yrs ➔ 26.2 Yrs
Debt-Free: Oct 2052
Total Interest Comparison
Orig: $408,142
Accel: $346,444
📈 Cumulative Interest Over Time: Original Term vs. Accelerated Payoff
💡 Click legend items to toggle lines
🔴 Red Dashed Line: Original term standard cumulative interest path 🔵 Blue Solid Line: Accelerated payoff interest (flattens out when paid off) 🟢 Green Shaded Area: Cumulative compound interest saved
⚖️ Compare Two Mortgage Scenarios Side-by-Side NEW TOOL

Debating between a 15-year vs. 30-year term, or comparing two lender interest rate quotes? Test scenarios side-by-side with interactive payment and balance curves.

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Payment Composition
Loan Balance Over Time

Amortization Schedule

See how each payment chips away at your principal loan balance.

Year Principal Paid Interest Paid Total Paid Ending Balance

How Extra Payments Toward Principal Save $100,000+ in Interest

Mathematical Milestone

For illustration, on a $350,000 loan at a 6.75% fixed rate over 30 years, total scheduled interest is $467,234. Applying an additional $250/month toward principal lowers total interest to $332,762 — saving $134,472 in direct interest and eliminating 7.4 years (89 monthly payments) from your amortization term.

+$150 / Month Extra Save $92,688 • 5.0 Yrs
+$250 / Month Extra ($100k+ Milestone) Save $134,472 • 7.4 Yrs
1 Extra Payment / Yr ($2,270/yr) Save $110,411 • 6.0 Yrs
🤖 Next-Gen AI Financial Answer Engine

AI Mortgage Scenario Assistant

Select popular questions home buyers Quick Reference Answers to receive instant deterministic calculations, 2026 underwriting formulas, and compliance rules.

150+ Verified FAQs →
🤖 Illustrative example: What income might a $400,000 home require? 28/36 Rule

For illustration, assume a 6.75% 30-year fixed rate, property taxes at 1.1% of home value, and $100/month homeowners insurance. Actual qualification depends on the lender and the full borrower profile:

With 10% Down ($40k) + PMI
$128,212 / yr
10% down: P&I 2,335 + tax 367 + insurance 100 + PMI 190 = 2,992, income 128,212
With 20% Down ($80k) • No PMI
$108,951 / yr
20% down: P&I 2,076 + tax 367 + insurance 100 = 2,542, income 108,951
Aggressive Back-End (36% DTI)
$99,700 / yr
Assumes ZERO car loans, student debt, or credit card balances.
💡 Practical Tip: Increasing your credit score from 680 to 740 lowers your interest rate by ~0.375%, saving approximately $92/month ($33,120 over 30 years) and reducing qualifying salary by $3,940/year.

Mortgage Payment Rules & Illustrative Benchmarks

Mortgage Financing Benchmarks
Standard Banking Formula M = P × [r(1+r)ⁿ] / [(1+r)ⁿ - 1]. Calculates fixed monthly principal and interest with deterministic accuracy.
Illustrative Monthly Payment Examples Using an illustrative 6.75% 30-year fixed rate: $300k loan = $1,946/mo; $400k loan = $2,594/mo; $500k loan = $3,243/mo (P&I).
28/36 DTI Affordability Standard Total monthly housing cost (PITI) should not exceed 28% of gross income; total monthly debt payments must stay under 36%.
Private Mortgage Insurance (PMI) Mandatory if down payment is under 20% (LTV > 80%). Borrowers can request removal at 80% LTV; auto-drops at 78% LTV by federal law.
⚡ 15 vs 30 Year Mortgage Break Even Calculator (@ 2026 Rates) Interactive Loan Term Comparison: Select loan amount to calculate equity break-even point dynamically
Launch Full Comparison Tool →
Loan Term Benchmark APR Monthly P&I Lifetime Interest Interest Saved Payoff Duration
30-Year Fixed 6.75% $2,594 / mo $533,981 $0 (Baseline) 360 Months (30.0 Yrs)
15-Year Fixed 5.95% $3,365 / mo $205,634 Save $328,347 180 Months (15.0 Yrs)

U.S. Homebuyer Learning Center

Go beyond the monthly payment. Explore practical guides to mortgage affordability, down payments, closing costs, credit scores, loan programs, refinancing, discount points, property taxes and insurance.

Explore all homebuyer guides →

How much house can I afford?Down payment optionsClosing costs explainedFirst-time buyer stepsMortgage credit scoresCompare loan programs

Illustrative U.S. Mortgage Payment & Salary Examples

2026 Home Purchase Price and Qualifying Salary Benchmarks
Figure 1: Median home purchase affordability and 28/36 qualifying income tiers using illustrative mortgage assumptions, not live lender quotes. 📊 Calculation Benchmark

These examples show how home price and household income can relate under one set of assumptions. They use a 10% down payment, a 30-year fixed example rate of 6.75%, property taxes estimated at 1.10% of home value, homeowners insurance, and PMI where applicable, using the 28% front-end debt-to-income (DTI) guideline. The 6.75% rate and cost inputs are illustrative—not live market quotes or a lender approval. Enter your own rate and local tax and insurance estimates in the calculator above to model your situation.

How Much Salary Needed for a $400k House? (28/36 Underwriting Formula)

Underwriting Benchmark
Front-End Ratio (28% Housing Ceiling):
Gross Annual Salary Needed = (Total Monthly PITI ÷ 0.28) × 12
Back-End Ratio (36% Total Debt Ceiling):
Max All Monthly Debts (PITI + Auto + Student Loans) = Gross Monthly Income × 0.36

To purchase a $400,000 house (10% down: P&I 2,335 + tax 367 + insurance 100 + PMI 190 = 2,992, income 128,212; 20% down: P&I 2,076 + tax 367 + insurance 100 = 2,542, income 108,951). Under the conventional 28% front-end housing guideline, required qualifying salary is $128,212/year with 10% down ($2,992/month total PITI) and $108,951/year with 20% down ($2,542/month total PITI).

Read Complete $400k House Salary Breakdown & 2026 Budget Guide → | Calculate True Cost of Homeownership →
Home Purchase Price Loan Amount (10% Down) 30-Yr Fixed (P&I) Est. Monthly PITI 15-Yr Fixed (P&I @ 5.95%) Recommended Salary (28% Rule) Analysis & Deep Dive
$250,000 $225,000 $1,459 / mo $1,920 / mo $1,893 / mo $82,300 / yr Calculate True Cost →
$300,000 $270,000 $1,751 / mo $2,285 / mo $2,271 / mo $97,900 / yr Calculate True Cost →
$350,000 $315,000 $2,043 / mo $2,638 / mo $2,650 / mo $113,000 / yr Compare 15 vs 30 →
$400,000 (Median) $360,000 $2,335 / mo $2,992 / mo $3,028 / mo $128,212 / yr Read $400k Guide →
$500,000 $450,000 $2,919 / mo $3,710 / mo $3,785 / mo $159,000 / yr Avoid House Poor →
$600,000 $540,000 $3,503 / mo $4,428 / mo $4,542 / mo $189,800 / yr Safety Rating →
$750,000 $675,000 $4,378 / mo $5,505 / mo $5,678 / mo $235,900 / yr Prepayment Savings →
$1,000,000 (Jumbo) $900,000 $5,838 / mo $7,300 / mo $7,571 / mo $312,900 / yr Full Amortization →
📊 View Full 2026 Mortgage Rate & Payment Benchmarks Dataset ($250k–$800k) →

Start with your estimated monthly mortgage payment, then use a specialized calculator when you need a deeper breakdown.

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How to Use This Mortgage Calculator

First Time Homebuyer using Mortgage Calculator
Figure 2: Planning first-time homeownership with realistic escrow, PMI, and down payment modeling. 🏡 Homebuyer Guide

Buying a home is one of the most significant financial commitments of your lifetime. Whether you are purchasing your first single-family house, upgrading to a suburban home, or investing in a multi-family rental property, having complete visibility into your financing numbers is critical. This free US mortgage calculator gives you immediate, transparent calculations of your monthly housing obligations, lifetime interest commitments, and amortization progression.

To get started, follow these simple steps:

  1. Enter your Home Purchase Price: Input the agreed or estimated real estate purchase price.
  2. Specify your Down Payment: Enter your down payment in dollars or percentage. Conventional wisdom often recommends 20% down to bypass Private Mortgage Insurance (PMI), but loans like FHA allow as little as 3.5%, while conventional loans often permit 3% to 5% down for qualified first-time buyers.
  3. Select your Loan Term: 30-year fixed mortgages are the gold standard in the United States, offering low, predictable monthly payments. Conversely, a 15-year fixed loan significantly increases your monthly payment but slashes your total interest expense by half or more.
  4. Input the Interest Rate: Enter your quoted Annual Percentage Rate (APR) or prevailing market interest rate.
  5. Include Property Taxes and Homeowners Insurance: Accurate budgeting must factor in escrow expenses. Local county property taxes and hazard insurance are billed annually but collected monthly by your loan servicer.
  6. Add HOA / Condo Dues: If you are purchasing in a planned unit development (PUD) or condominium with monthly dues, include them here to reflect true monthly out-of-pocket housing costs.
The Golden PITI Rule: Lenders evaluate your borrowing capacity using the acronym PITI: Principal, Interest, Taxes, and Insurance. When evaluating your debt-to-income (DTI) ratio, lenders almost never look at principal and interest alone—they look at your comprehensive monthly housing payment.

Understanding Your Monthly Payment

Understanding Mortgage Monthly Payment and Closing Costs
Figure 3: Key components of monthly mortgage payments: Principal, Interest, Property Taxes, and Hazard Insurance. 📋 PITI Breakdown

Every standard fixed-rate mortgage payment consists of four core building blocks:

What Affects Your Mortgage Rate?

Mortgage Interest Rate Market Fluctuations and Credit Scores
Figure 4: Factors influencing mortgage quotes: FICO score tiers, down payment LTV, loan duration, and bond yields. 📈 Rate Drivers

Mortgage interest rates fluctuate daily based on macroeconomic trends, Federal Reserve monetary policy, 10-year Treasury bond yields, and inflation reports. However, individual borrowers receive personalized rate quotes determined by risk profiling factors:

Calculator Methodology, Inputs & Limitations

To get the most accurate financial picture before applying for a loan or touring properties, review how our calculator operates and how to interpret your results:

1. What the Calculator Does

Computes deterministic fixed-rate mortgage payments (P&I and full PITI), tracks real-time loan balance amortization, simulates custom extra principal prepayment schedules (monthly, annual, or lump-sum), and benchmarks required household salaries under 28/36 underwriting rules.

2. Required User Inputs

Home purchase price, down payment amount or percentage, annual interest note rate (%), loan term (typically 30 or 15 years), annual property taxes, annual homeowners insurance, and optional monthly HOA dues or PMI percentages.

3. What the Results Mean

Visualizes your complete monthly payment composition breakdown (principal, interest, taxes, insurance, PMI), total lifetime interest paid over the life of the loan, exact debt-free payoff date, and exact interest dollars saved via extra principal prepayments.

4. Included vs. Excluded Costs

Included: Compounded loan amortization, escrow taxes, hazard insurance, and PMI based on loan-to-value thresholds. Excluded: Upfront closing fees (title, escrow, recording fees), discount points (unless manually input), moving expenses, and variable municipal assessments.

5. Mathematical Formulas Used

Standard monthly amortization: M = P × [r(1+r)ⁿ] / [(1+r)ⁿ - 1]. Front-End Qualifying Income: Annual Income = (PITI + HOA) × 12 ÷ 0.28.

6. What the Calculator Cannot Determine

Cannot guarantee lender credit approval, predict future county property tax reassessments, or substitute for an official binding Loan Estimate (LE) issued by an NMLS-licensed lender.

Frequently Asked Questions

Mortgage Amortization and Financial Savings Questions
Figure 5: Strategic amortization management, early payoff planning, and federal PMI elimination rules. 💡 Expert FAQ

Most mortgage underwriters follow the 28/36 rule. Under this guideline, your total monthly housing costs (PITI + HOA) should not exceed 28% of your gross monthly pre-tax income. Furthermore, your total monthly debt obligations (housing + car loans + student loans + minimum credit card payments) should not exceed 36% of your gross income (back-end DTI). Some loan programs, such as FHA, permit back-end DTI ratios up to 43% to 50% with strong compensating factors.

Lenders calculate the fixed monthly principal and interest payment using the standard amortization equation: M = P * [r(1+r)^n] / [(1+r)^n - 1], where P represents the principal loan amount, r is the monthly interest rate (annual APR divided by 12 and 100), and n is the total number of monthly payments (term in years multiplied by 12).

A 30-year mortgage provides maximum financial flexibility by keeping mandatory monthly payments low. You can always choose to make extra principal prepayments voluntarily whenever your cash flow allows. Conversely, a 15-year mortgage enforces rapid equity building and saves substantial interest.

On conventional loans, if your down payment is less than 20% (LTV greater than 80%), lenders require Private Mortgage Insurance to protect them if you default. Under the federal Homeowners Protection Act, you can request PMI cancellation once your principal balance reaches 80% of the original home value, and your lender must automatically cancel PMI once you reach 78% loan-to-value.

Because every dollar of extra payment goes 100% directly toward reducing your principal balance, it permanently eliminates all future compound interest on that dollar. Even adding an extra $100 or $200 per month on a $300,000 mortgage can shave 4 to 6 years off your payoff timeline and save you over $40,000 to $60,000 in interest expenses.

Yes! While this main page applies standard US mortgage conventions (where the annual percentage rate is divided into 12 monthly interest accrual periods: APR / 12), you can navigate to our Canadian Mortgage Calculator for semi-annual compounding rules, CMHC insurance tiers, and accelerated bi-weekly payments, or our Australian Home Loan Calculator for LVR brackets and mortgage offset account simulations.

Explore property tax and homeowners insurance baselines by U.S. state

50-State & DC Mortgage, Property Tax & Insurance Explorer [2026 Research Baseline]

Local housing costs diverge dramatically across jurisdictions. Search or click any state below to instantly load empirical property-tax rates, annual homeowners insurance baselines ($300k dwelling / $1k deductible), and FHFA home-price trajectories directly into the calculator:

Important Research Notice & Attribution: All state tax, insurance, and home price values are empirical research baselines derived from public data publications (Tax Foundation 2026, Insurance.com 2026, FHFA 2026 Q1 HPI), not binding lender rate quotes or pre-approval terms. Actual mortgage terms and escrow costs depend on specific county assessments, municipality millages, borrower credit profile, and lender underwriting.
Primary Sources: Tax Foundation • Insurance.com • FHFA HPI Data Scope: 50 U.S. States + Washington, D.C. Research Cut-off: September 30, 2026 Last Verified: September 30, 2026
Showing all 51 jurisdictions

Specialized Mortgage Decision Tools & Financial Calculators

Explore deterministic calculation models designed for specific homeownership scenarios

100% Free · Client-Side Privacy
Decision Tools Suite: Refinance, Extra Payments, and Loan Comparison
Figure 6: Comprehensive decision suite for payoff acceleration, break-even refinancing, and multi-currency analysis. 🛠️ Financial Suite

Refinance Break Even Calculator: No Closing Fees vs Standard Points

Break-Even Formula

The standard break-even calculation is: Break-Even Months = Total Closing Costs ÷ Monthly Payment Savings. For a no closing fee refinance (zero out-of-pocket settlement expenses, absorbed via lender credits or folded into the loan balance), your break-even point is Day 1 (0 months), provided the new interest rate lowers your monthly payment. For a standard refinance with $4,500 in closing costs saving $180/month, the break-even is 25 months (2.1 years).

Open Interactive Refinance Break-Even Calculator → | Are Discount Points Worth It? →
⚡ Extra Principal Payment Calculator

Simulate monthly, annual, or lump-sum principal paydowns. See exact years shaved off and thousands saved in interest.

🔄 Refinance Break-Even Calculator

Calculate how many months it takes to recover closing costs and determine if lowering your rate saves money.

🏡 True Cost of Homeownership & Salary

Comprehensive budget model accounting for maintenance reserves, utilities, HOA, and gross salary requirements.

⚖️ 15-Year vs. 30-Year Mortgage Comparison

Side-by-side comparison of monthly payment obligation vs. total interest savings and equity accumulation pace.

📊 Month-by-Month Amortization Schedule

Full 360-month amortization table tracking remaining balance, cumulative interest, and principal reduction over time.

🏛️ Loan Programs Guide (FHA, VA, USDA, Conventional)

Compare loan guidelines, conforming limits, down payment minimums, and mortgage insurance rules.

📈 50-State Property Tax & Rate Snapshot

Real-world empirical baselines for property tax rates, hazard insurance, and FHFA home appreciation trends.

🍁 Canadian Mortgage Calculator (CAD)

Calculated using Canadian Interest Act semi-annual compounding formulas and provincial CMHC mortgage tiers.

🦘 Australian Home Loan Calculator (AUD)

Interactive 100% offset account simulator, LVR risk tiers, and Lender Mortgage Insurance (LMI) estimates.

Mortgage Guides & Calculators for U.S. Homebuyers

Practical help with affordability, monthly payments, down payments, credit, loan programs and refinancing.

Homebuyer Resource Center
Browse by goal: Choose a topic to narrow the resources below.
Editorial & Verification Standards
Our commitment to mathematical rigor, user privacy, and unbiased financial education
1. Data Sources Statement

Uses the standard amortization formula. Estimates are for educational purposes only.

2. Privacy & Trust Statement

We do not sell user data. All calculations are performed 100% in your browser, ensuring your financial privacy.

3. Editorial Review Statement

Calculations use standard amortization formulas documented on our Methodology page. We do not recommend specific mortgage originators.

Official Real Estate Legal Contracts & Closing Forms

⚡ Powered by LawDepot

State-specific, attorney-reviewed legal templates. Customize, sign, and download in under 5 minutes:

Document Type Best For Legal Coverage Action
Real Estate Purchase Agreement Home Buyers, Private Sellers & FSBO All 50 US States Create Contract →
Promissory Note & Loan Contract Private Lending, Family Loans & Seller Financing State-Enforceable Draft Note →
Contract for Deed (Land Contract) Installment Home Purchases & Title Retention Standard Legal Template Draft Agreement →
Satisfaction of Mortgage (Lien Release) Loan Payoff, Refinancing & Clear Property Title County Recording Ready Release Lien →

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Abdallah Elmoustahyi
Written by Abdallah Elmoustahyi
Mortgage Finance Analyst | 5+ Years Experience
Reviewed for accuracy on Nov 2, 2026
Author Profile & Bio →