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Home Mortgages: Full P&I, PMI, Affordability & Amortization

The US mortgage market is $12.5 trillion. A $350K mortgage at 6.5% for 30 years costs $447K in interest—128% of the borrowed amount. The first 10 years of payments are mostly interest (72% in year 1). Making one extra payment per year cuts the term by 4.5 years. This calculator shows full P&I, PMI, affordability, and amortization.

Concept Fundamentals
$12.5T
US Mortgage Market Size
$447K
Interest on $350K (30yr, 6.5%)
72%
Year 1 Payment Going to Interest
4.5 years
Saved by 1 Extra Payment/Year

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Shop multiple lenders—a 0.25% rate difference on $300K saves $15K over 30 years. When making extra payments, specify "principal only" so they apply correctly. Consider refinancing when rates drop 0.75% or more—run the numbers including closing costs. Shorter term = less interest. A 15-year mortgage costs far less total than 30-year.

Key figures
$12.5T
US Mortgage Market Size
Key figure
$447K
Interest on $350K (30yr, 6.5%)
Key figure
72%
Year 1 Payment Going to Interest
Key figure
4.5 years
Saved by 1 Extra Payment/Year
Key figure

Ready to run the numbers?

Why: Mortgages are the largest consumer debt category. Early payments go mostly to interest (72% in year 1!). PMI adds cost when LTV exceeds 80%. Lenders use DTI ratios (28% front-end, 36% back-end) to qualify. A 15-year mortgage saves hundreds of thousands vs 30-year at the cost of higher monthly payments.

How: Enter home price, down payment (as % or amount), loan term, interest rate, property tax, insurance, PMI, HOA, and optional extra payment. The calculator shows monthly P&I, total interest, total cost, amortization schedule, LTV, DTI, max affordable home, and cash at closing. Compare 15yr vs 30yr and extra payment impact.

Shop multiple lenders—a 0.25% rate difference on $300K saves $15K over 30 years.When making extra payments, specify "principal only" so they apply correctly.

Run the calculator when you are ready.

Calculate Your MortgageEnter home price, down payment, rate, and term to see monthly payment and affordability.

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Mortgage Details

mortgage_analysisCALCULATED
Monthly P&I
$2,129
Total Monthly
$2,696
Total Interest
$446,428
Payoff
30 yr 0 mo

Amortization Curve

Monthly P&I Breakdown

15yr vs 30yr Total Cost

Extra Payment Impact

Payment Breakdown

Principal & Interest$2,129
Property Tax$400
Insurance$167
Total$2,696

Loan-to-Value

80.00%

No PMI required

Max Affordable Home

$331,515

Based on 28% DTI rule

Cash at Closing

$92,000

Down + ~3% closing costs

Amortization Schedule (First 12 Months)

MonthPaymentPrincipalInterestBalance
1$2,129$262$1,867$319,738
2$2,129$264$1,865$319,474
3$2,129$265$1,864$319,208
4$2,129$267$1,862$318,942
5$2,129$268$1,860$318,673
6$2,129$270$1,859$318,403
7$2,129$272$1,857$318,131
8$2,129$273$1,856$317,858
9$2,129$275$1,854$317,583
10$2,129$276$1,853$317,307
11$2,129$278$1,851$317,029
12$2,129$280$1,849$316,749

For educational purposes only — not financial advice. Consult a qualified advisor before making decisions.

💡 Money Facts

📊

The US mortgage market is $12.5 trillion—the largest consumer debt category.

— Federal Reserve

📉

A $350K mortgage at 6.5% for 30 years costs $447K in interest—128% of the borrowed amount.

— Freddie Mac

📈

The first 10 years of payments are mostly interest (72% in year 1 on a 30-year loan).

— CFPB

💰

Making one extra payment per year on a 30-year mortgage cuts the term by 4.5 years.

— CFPB

🏠

Mortgage rates hit a 23-year high of 7.79% in October 2023.

— Freddie Mac

🔄

Adding $200/month to a $350K loan at 6.5% pays off ~5 years early and saves ~$68K in interest.

— CFPB

📊 The US Mortgage Market by the Numbers

The US mortgage market is $12.5 trillion — the largest consumer debt category. A $350K mortgage at 6.5% for 30 years costs $447K in interest — 128% of the borrowed amount. The first 10 years of payments are mostly interest (72% in year 1!). Making one extra payment per year on a 30-year mortgage cuts the term by 4.5 years. Mortgage rates hit a 23-year high of 7.79% in October 2023.

$12.5T
US Mortgage Market Size
$447K
Interest on $350K (30yr, 6.5%)
72%
Year 1 Payment Going to Interest
4.5 years
Saved by 1 Extra Payment/Year

Sources: Federal Reserve, Freddie Mac, CFPB, Mortgage Bankers Association

📐 Mortgage Payment Formula Explained

The standard mortgage payment formula is M = P × [r(1+r)^n] / [(1+r)^n - 1], where M = monthly payment, P = principal loan amount, r = monthly interest rate (annual ÷ 12), and n = total number of payments (years × 12).

Example: $350,000 loan at 6.5% for 30 years → r = 0.065/12 = 0.00542, n = 360. M ≈ $2,212/month in principal and interest.

🔒 Fixed vs Adjustable Rate Mortgages

Fixed-rate mortgages lock in your rate for the full term — predictable payments but often higher initial rates. ARMs (e.g., 5/1 ARM) offer lower initial rates for the first 5 years, then adjust annually based on market indices. ARMs suit buyers who plan to sell or refinance within 5–7 years. If rates rise, ARM payments can increase significantly.

Fixed Rate

Payment never changes. Best for long-term stability and when rates are low.

5/1 ARM

Fixed for 5 years, then adjusts. Lower initial payment but rate risk after year 5.

📉 Mortgage Amortization

Amortization is the process of paying off a loan through regular payments. Early payments go mostly to interest (e.g., 72% in year 1 on a 30-year loan); later payments go mostly to principal. The balance declines over time until the loan is paid off. Extra principal payments reduce total interest and shorten the term — even small amounts add up.

Use the amortization chart above to visualize how your balance, principal paid, and interest paid change over the life of the loan.

💰 Mortgage Points

Mortgage points (discount points) are upfront fees paid to lower your interest rate. One point typically costs 1% of the loan amount and reduces the rate by approximately 0.25%. Calculate breakeven: point cost ÷ monthly savings. If you stay in the home past breakeven, points save money. Example: $3,500 for 1 point on $350K loan, saving $48/month = breakeven in ~73 months (6 years).

🏦 Escrow Accounts

An escrow account holds funds for property taxes and homeowners insurance. The lender collects 1/12 of annual costs each month and pays bills when due. Escrow ensures you don't face large lump-sum bills and protects the lender's collateral. Lenders often require escrow when LTV exceeds 80%.

✅ Pre-Qualification vs Pre-Approval

Pre-qualification is an informal estimate based on self-reported financial information — no credit pull. Pre-approval involves a full credit check and document review by a lender. Pre-approval carries more weight with sellers and gives you a realistic budget for home shopping. Get pre-approved before house hunting to strengthen your offer.

🏘️ VA Loans

VA loans allow eligible veterans and active-duty service members to purchase with 0% down and no PMI. VA loans often have competitive rates. Eligibility requires military service (90+ days during wartime, 181+ days during peacetime, or 6+ years in Reserves/Guard). A $400K loan at 6% with 0% down yields ~$2,398/month P&I — no PMI for veterans.

📊 15-Year vs 30-Year Mortgages

A 15-year mortgage typically has higher monthly payments but saves hundreds of thousands in interest. Example: $350K at 5.9% for 15 years = $2,936/mo vs $2,212/mo for 30 years at 6.5% — $724 more monthly but saves ~$268K in interest. A 30-year offers lower payments and more cash-flow flexibility. Compare total cost before deciding based on your income stability and goals.

💡 Extra Payment Impact

Even $100–200 extra per month toward principal can cut years off your mortgage and save tens of thousands in interest. On a $350K loan at 6.5%, adding $200/month extra pays off ~5 years early and saves ~$68K in interest. Apply extra to principal only — specify "principal only" when making payments. Use the Extra Payment Impact chart above to see the difference.

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