Home Mortgage Calculator

Calculate your monthly mortgage payments, compare loan terms, analyze extra payment scenarios, and understand the total cost of your home loan with comprehensive visualizations.

Loan Information
20% of home price
Monthly Costs
Monthly Payment
Total Monthly Payment
$2,497
Principal & Interest $2,077
Property Tax $417
Home Insurance $167
PMI $0
HOA $0
Loan Amount $320,000
Total of Payments $747,684
Total Interest $427,684
Loan Term Comparison

See how different loan terms affect your payment and total interest.

15-Year Fixed

$2,800
Monthly P&I
Total Interest: $184,000
Save $243,684

30-Year Fixed

$2,077
Monthly P&I
Total Interest: $427,684
Current Selection

20-Year Fixed

$2,404
Monthly P&I
Total Interest: $257,000
Save $170,684
Extra Payment Analysis

See how making extra payments can reduce your loan term and total interest.

Interest Savings
$0
New Payoff Time
30 years
Original vs. With Extra Payments
Original Total Interest: $427,684
New Total Interest: $427,684
Balance Over Time
Annual Principal vs Interest
Amortization Schedule
Period Payment Principal Interest Total Interest Balance

What is a Mortgage?

A mortgage is a loan specifically designed for purchasing real estate. The property itself serves as collateral, meaning the lender can take possession of the home through foreclosure if you fail to make payments. Mortgages are typically long-term loans, with terms ranging from 10 to 30 years.

The word "mortgage" comes from Old French, meaning "death pledge" - the pledge "dies" either when the debt is paid off or when the property is foreclosed. Despite the dramatic etymology, mortgages remain the most common way people finance home purchases.

Did You Know? The average American takes about 30 years to pay off their mortgage, but most homeowners sell or refinance within 7-10 years. Consider your actual expected timeline when choosing terms.

The Mortgage Payment Formula

Your monthly mortgage payment (principal and interest) is calculated using the standard amortization formula:

Monthly Payment Formula:

M = P × [r(1+r)^n] / [(1+r)^n - 1]

Where:
M = Monthly payment
P = Principal (loan amount)
r = Monthly interest rate (annual rate ÷ 12 ÷ 100)
n = Total number of payments (years × 12)

Example:
$320,000 loan at 6.75% for 30 years:
r = 6.75 ÷ 12 ÷ 100 = 0.005625
n = 30 × 12 = 360
M = $320,000 × [0.005625(1.005625)^360] / [(1.005625)^360 - 1]
M = $2,077/month

Components of Your Monthly Payment (PITI)

Your total monthly housing payment typically consists of four components, known as PITI:

Additionally, you may have:

Choosing the Right Loan Term

30-Year Fixed Mortgage

The most popular option, offering the lowest monthly payment but the highest total interest cost.

15-Year Fixed Mortgage

Higher monthly payments but significantly less interest paid over the loan life.

20-Year Fixed Mortgage

A middle ground between 15 and 30-year terms.

Term Monthly P&I Total Interest Interest Savings
30 Years $2,077 $427,684 -
20 Years $2,404 $256,975 $170,709
15 Years $2,831 $189,565 $238,119

Fixed vs. Adjustable Rate Mortgages

Fixed-Rate Mortgages (FRM)

The interest rate remains constant throughout the loan term. Your principal and interest payment never changes, making budgeting predictable.

Adjustable-Rate Mortgages (ARM)

The interest rate can change after an initial fixed period. Common structures include:

When ARMs make sense:

The Power of Extra Payments

Making extra payments toward your mortgage principal can dramatically reduce your total interest and loan term. Here's how different strategies compare for a $320,000 loan at 6.75% over 30 years:

Strategy Interest Saved Time Saved
$100/month extra $68,485 5 years, 7 months
$200/month extra $113,729 9 years, 4 months
$500/month extra $196,848 15 years, 8 months
One extra payment/year $66,583 5 years, 5 months
$10,000 lump sum (Year 2) $35,482 2 years, 1 month

Pro Tip: Before making extra payments, ensure you have no prepayment penalty and that extra payments are applied to principal, not future payments. Also, consider whether paying off high-interest debt first makes more sense.

Understanding PMI

Private Mortgage Insurance (PMI) is required when your down payment is less than 20% of the home's purchase price. It protects the lender (not you) if you default.

PMI Costs and Removal

Ways to Avoid PMI

Frequently Asked Questions

How much house can I afford?

A common guideline is that your total monthly housing payment (PITI) should not exceed 28% of your gross monthly income, and total debt payments shouldn't exceed 36%. For a household earning $100,000 annually, this suggests a maximum housing payment of about $2,333/month. However, your personal situation, other debts, and financial goals should guide the final decision.

Should I pay points to lower my rate?

Paying points (1 point = 1% of loan amount) can lower your interest rate. Calculate your break-even point: if paying $3,200 for one point saves you $50/month, you'd break even in 64 months (about 5.3 years). If you plan to stay longer than the break-even period, paying points can be worthwhile. If not, skip them.

Is it better to pay off my mortgage early or invest?

Mathematically, if your expected investment returns exceed your after-tax mortgage interest rate, investing may be better. However, being mortgage-free provides guaranteed savings, psychological peace, and reduced risk. Consider a balanced approach: maximize tax-advantaged retirement accounts first, then split extra money between investments and mortgage payoff.

When should I consider refinancing?

Consider refinancing when: (1) rates drop 0.5-1% or more below your current rate, (2) your credit score has significantly improved, (3) you want to switch from ARM to fixed, (4) you need to remove PMI, or (5) you want to tap equity. Calculate your break-even point (closing costs ÷ monthly savings) to ensure you'll stay long enough to benefit.

What credit score do I need for a mortgage?

Minimum credit scores vary by loan type: FHA loans (580 for 3.5% down, 500-579 for 10% down), Conventional loans (620+), VA loans (no official minimum, but lenders often want 620+), USDA loans (640+). Higher scores (740+) qualify for the best rates. Before applying, check your credit reports, dispute errors, and pay down debt to improve your score.

What's included in closing costs?

Closing costs typically run 2-5% of the loan amount and include: appraisal fee ($300-600), credit report ($25-50), title search and insurance ($700-1500), attorney fees, origination fee (0-1%), prepaid interest, escrow deposits for taxes and insurance, recording fees, and various administrative charges. Request a Loan Estimate to see all costs.