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Calculate mortgage payments, affordability, refinance savings, and extra payment impact. Complete PITI calculator with PMI, taxes, and insurance.
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The exact formula behind mortgage calculations, with worked examples.
Read article →How each mortgage payment splits between principal and interest over time.
Read article →We tested 6 free mortgage calculators on accuracy, features, ads, and mobile UX.
Read article →Explore our in-depth guides related to this calculator
Everything you need to know about mortgages — calculate payments, compare rates, understand amortization, and plan your home purchase with expert-reviewed tools.
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$2,299/mo
Average monthly mortgage payment in the US (2024, NAR)
$431,000
Median US home sale price (Q1 2024, Federal Reserve)
28%
Maximum housing-to-income ratio recommended by lenders
1934
Year the FHA was created, making 30-year fixed mortgages standard
A mortgage is a loan secured by real estate — when you take one out, the property becomes collateral for the debt. The lender can foreclose and take ownership if you stop making payments. Most mortgages bundle four cost components known as PITI:
Loan-to-Value (LTV) measures the loan balance as a percentage of the home's value. A $320,000 loan on a $400,000 home is 80% LTV. When LTV exceeds 80%, lenders typically require Private Mortgage Insurance (PMI) — which protects the lender (not you) in case of default and costs roughly 0.5–1.5% of the loan per year.
Amortization is the process of paying off a loan through scheduled payments. In the early years of a 30-year mortgage, the vast majority of each payment goes to interest. By year 15, the split begins to favor principal. This is why extra early payments have such a dramatic effect on total interest paid.
65% of Americans are homeowners — a rate that has remained largely stable since the 1960s.
The average first-time buyer age is 36 years old (NAR 2024).
The first 5 years of a 30-year mortgage are mostly interest — you're building equity slowly at first.
20% down eliminates PMI and saves roughly $100–200/month on a $400k home.
Monthly P&I
M = P × [r(1+r)ⁿ] ÷ [(1+r)ⁿ − 1]
P = loan amount · r = monthly rate (APR ÷ 12) · n = term in months (e.g., 360 for 30 years)
Total Monthly (PITI)
PITI = P&I + Tax/12 + Insurance/12 + PMI
Property tax and insurance are divided by 12 and added to the base principal & interest payment each month.
PMI Estimate
PMI = (Loan × 0.005) ÷ 12
Approximately 0.5–1.5% of loan amount per year. Automatically canceled at 78% LTV (Homeowners Protection Act).
| Type | Rate (2024 avg) | Best For | Risk | Down Payment |
|---|---|---|---|---|
| 30-Year Fixed | 6.9% | Long-term stability, budget predictability | Low | 3–20% |
| 15-Year Fixed | 6.2% | Faster payoff, less total interest | Low | 5–20% |
| 5/1 ARM | 6.0% | Short-term ownership (< 7 years) | Medium-High | 5–20% |
| FHA Loan | 7.0% | First-time buyers, lower credit (580+) | Low | 3.5% |
| VA Loan | 6.5% | Veterans, active military | Low | 0% |
| Jumbo Loan | 7.2% | Homes > $766,550 (conforming limit) | Medium | 10–20% |
1934
National Housing Act creates the FHA. The first 30-year self-amortizing mortgage emerges, replacing risky balloon-payment loans that caused mass foreclosures during the Depression.
1938
Fannie Mae (FNMA) established to create a secondary mortgage market, buying loans from banks and freeing capital for new lending.
1968
Freddie Mac chartered; the 30-year fixed mortgage becomes the American standard — representing over 70% of all originations.
1981
Adjustable Rate Mortgages (ARMs) introduced during an 18% interest rate environment, giving borrowers an alternative to unaffordable fixed rates.
2006–2008
Subprime mortgage crisis: lax underwriting standards, predatory products, and securitization trigger a $10 trillion housing crash — the worst since the Great Depression.
2020–2023
COVID-era rates hit 2.65% (record low, January 2021), sparking a buying frenzy. Rates surge to 7%+ by late 2023 as the Fed fights inflation.
National Association of Realtors
65% of home purchases were financed with a mortgage. First-time buyers made up 32% of all buyers. The median down payment was 8%; first-time buyers averaged 6%.
View Source →Federal Reserve Financial Accounts
Total US home mortgage debt reached $13.0 trillion in 2024, representing the largest single asset class held by American households (27% of total household assets).
View Source →Consumer Financial Protection Bureau
Borrowers who obtained 4+ mortgage quotes saved an average of $1,200 in interest in the first year alone, with cumulative savings potentially exceeding $10,000 over the loan life.
View Source →✗ Myth
“You need a 20% down payment to buy a home.”
✓ Fact
FHA loans require only 3.5% down (580+ credit score). Conventional loans allow 3% down through programs like Fannie Mae HomeReady. VA loans require 0% down for eligible veterans. The trade-off: PMI adds $100–300/month until you reach 20% equity. USDA loans also offer 0% down in rural areas.
✗ Myth
“Renting is throwing money away.”
✓ Fact
This depends heavily on location, duration, and opportunity cost. In high-cost markets (SF, NYC), the buying vs. renting break-even often exceeds 7–10 years. The "true cost" of homeownership includes property taxes, maintenance (1–2% of value annually), insurance, HOA, and transaction costs (6% agent fees = $24,000 on a $400k home).
✗ Myth
“30-year mortgages always cost more than 15-year.”
✓ Fact
While a 30-year pays more interest over the full term, it's not always the wrong choice. The lower payment frees cash for investments. If you earn 9% in the market and your mortgage is 7%, the 30-year with excess investment may build more total wealth. Compare after-tax cost of mortgage vs. expected investment returns.
✗ Myth
“You should always pay off your mortgage early.”
✓ Fact
The optimal strategy depends on your mortgage rate vs. investment returns. At 3–4% mortgage rates (common 2020–2022), investing excess cash in index funds at historical 7–10% returns is mathematically superior. At 7%+ mortgage rates, extra principal payments often make more sense. Never sacrifice retirement contributions to pay extra on a low-rate mortgage.
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