2024 CFPB HMDA Public-data reference. Standard amortization formula

Mortgage Calculator

Estimate your monthly mortgage payment including principal, interest, taxes, and insurance — with amortization and total-interest projections.

$
$

20.0% of home price

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$

Annual amount

$

Annual amount

Monthly P&I

Principal & interest

Monthly Tax

Property tax

Monthly Insurance

Home insurance

Total Monthly Payment

P&I + tax + insurance

Total Cost Over Loan

All payments combined

Down Payment Strategies

Putting down 20% or more avoids the cost of Private Mortgage Insurance (PMI), which can add $100-300/month to your payment. However, you do not need 20% to buy a home:

  • Conventional: As low as 3% down
  • FHA: 3.5% minimum down payment
  • VA: 0% for eligible veterans
  • USDA: 0% in eligible rural areas

15-Year vs. 30-Year

On a $280,000 loan at 6.5%:

  • 30-year: $1,770/mo, $357,000 total interest
  • 15-year: $2,440/mo, $159,000 total interest

The 15-year option saves nearly $200,000 in interest but requires $670 more per month.

What Is PITI?

PITI stands for Principal, Interest, Taxes, and Insurance. These four components make up your total monthly housing cost. Lenders use PITI to determine how much you can borrow.

Closing Costs

Budget 2-5% of the purchase price for closing costs. On a $350,000 home, expect $7,000-$17,500 in fees including:

  • Loan origination fee (0.5-1%)
  • Appraisal ($300-600)
  • Title insurance ($500-1,500)
  • Home inspection ($300-500)
  • Prepaid taxes and insurance

When to Use This Calculator

  • Before house hunting: Set a realistic budget based on what monthly payment you can afford.
  • Comparing loan offers: Plug in different rates to see the true cost difference over the loan life.
  • Refinance decisions: Compare your current payment against a new rate to estimate monthly savings.

Real-World Examples

Example 1 — First-time buyer: Home price $320,000, 5% down ($16,000), 30-year at 7.0%, $3,000 property tax/yr, $1,200 insurance/yr. Monthly PITI ≈ $2,311. Annual income needed: $83,000+ (28% rule).

Example 2 — Move-up buyer: Home price $550,000, 20% down ($110,000), 15-year at 6.25%. Monthly P&I ≈ $3,748. Total interest paid: $124,600 — less than half the 30-year equivalent.

Limitations & Assumptions

  • Does not include HOA fees, which average $200-400/month in many communities.
  • Property tax is entered as a fixed annual amount — real taxes change with assessed value.
  • Does not model adjustable-rate mortgages (ARM) where rate changes after an initial period.
  • PMI cost is not calculated separately — add $50-300/month if down payment is under 20%.

Related Guides

Data Sources

Payment formula: standard amortization (P × r(1+r)ⁿ / ((1+r)ⁿ − 1)). Down payment loan types per HUD and Fannie Mae guidelines. Historical mortgage rate context from Freddie Mac PMMS weekly survey.

U.S. Mortgage Market Snapshot

The Freddie Mac Primary Mortgage Market Survey tracked the 30-year fixed rate averaging 6.81% in 2023, a 21-year high, after sitting below 3.5% as recently as early 2022. That swing doubled the monthly principal-and-interest payment on a $400,000 loan from about $1,796 to $2,609 — a $293,000 total-interest difference over 30 years.

CFPB HMDA data for 2023 shows lenders received 11.5 million mortgage applications across 5,113 active institutions with a 49.5% approval rate and 17.4% denial rate. The average loan amount was $327,324 nationwide but varied dramatically by state: California averaged $569,952 and New York reached $1,015,183, while Texas sat closer to $301,608. Debt-to-income ratio was the most common denial reason (42% of denials).

Down-payment behavior is shifting: the National Association of Realtors' 2023 Profile of Home Buyers found the median down payment fell to 15% overall and just 8% for first-time buyers, well below the 20% needed to avoid PMI. FHA loans (3.5% minimum down, ~0.55% annual MIP) and VA loans (0% down for eligible veterans, ~2.3% funding fee) captured a combined 18% of 2023 originations as affordability pressure mounted.

Sources: Freddie Mac PMMS, CFPB HMDA 2023 release, NAR Profile of Home Buyers

Where this monthly payment lands nationally

2023 CFPB HMDA + Freddie Mac PMMS distribution of typical U.S. monthly housing payments. The marker represents the calculator's example PITI of about $2,840.

U.S. monthly housing payment distribution

Sample peer set for an example $2,840 PITI

Bottom 25%$1500Median$2100Top 25%$2800Top 10%$3600

Source: CFPB HMDA 2023 + Freddie Mac PMMS As of 2024

Methodology & Assumptions

This calculator implements standard formulas drawn from primary-source authorities. Values are point-in-time estimates; consult a licensed professional for high-stakes decisions. See the per-input definitions and source citations below.

How this works

Computations are deterministic and run client-side — no inputs leave your browser. Formulas are derived from standard published formulas for the calculator's domain (mortgage, taxes, energy, conversions, etc.). When the underlying agency publishes updated rates or thresholds we refresh defaults and update the page's lastmod timestamp.

Frequently Asked Questions

How much house can I afford?
A common guideline is that your monthly housing costs (mortgage, taxes, insurance) should not exceed 28% of your gross monthly income. Your total debt payments, including the mortgage, should stay below 36%. For example, if you earn $6,000/month gross, aim for a housing payment under $1,680.
What is PMI and when is it required?
Private Mortgage Insurance (PMI) is required when your down payment is less than 20% of the home price on a conventional loan. PMI typically costs 0.5% to 1.5% of the loan amount per year. Once you reach 20% equity in your home, you can request that PMI be removed.
Should I choose a 15-year or 30-year mortgage?
A 15-year mortgage has higher monthly payments but saves significantly on total interest and typically offers a lower interest rate. A 30-year mortgage has lower monthly payments, giving more budget flexibility. Choose 15 years if you can comfortably afford the higher payment; choose 30 years if you need lower payments or want to invest the difference.
What are closing costs?
Closing costs are fees paid when finalizing a home purchase, typically 2-5% of the loan amount. They include appraisal fees, title insurance, attorney fees, loan origination fees, prepaid taxes, and insurance. Some lenders offer to roll closing costs into the loan, but this increases your total interest paid.

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Inputs, defaults, and authoritative sources
Input Default Source / authority
All inputs Domain-typical defaults Editorial methodology, CalcMesh 2026