Mortgage Calculator

Calculate your monthly mortgage payment including taxes, insurance, PMI, and view your complete amortization schedule.

Home & Loan Details
Taxes, Insurance & Fees
Auto-applied if down < 20%
Extra Payments (Optional)
Applied at start of loan
Monthly Payment
$2,528
Total Out-of-Pocket: $2,808/month
Loan Amount
$320,000
Down Payment
$80,000
20%
Total Payments
$702,055
Total Interest
$382,055
Payoff Date
Jan 2056
Cost Component Monthly Total (Lifetime)

Monthly Payment Breakdown

Balance & Interest Over Time

Amortization Schedule

What is a Mortgage?

A mortgage is a loan secured by real property, typically used to purchase a home. The property serves as collateral for the loan, meaning the lender can foreclose and sell the property if you fail to make payments. Mortgages are typically repaid over 15 to 30 years through fixed monthly payments that include both principal (the amount borrowed) and interest (the cost of borrowing).

Principal vs. Interest

Every mortgage payment is divided between principal and interest:

  • Principal: The portion of your payment that reduces the amount you owe
  • Interest: The cost charged by the lender for borrowing money

In the early years of a mortgage, most of your payment goes toward interest. As the loan matures, the balance shifts toward principal. This is why making extra payments early in the loan can save significant money.

The Mortgage Payment Formula

M = P × [r(1+r)^n] / [(1+r)^n - 1]

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

Example Calculation

For a $320,000 loan at 6.5% for 30 years:

  • P = $320,000
  • r = 6.5% / 12 = 0.5417% = 0.005417
  • n = 30 × 12 = 360 payments
  • M = $320,000 × [0.005417(1.005417)^360] / [(1.005417)^360 - 1]
  • M = $2,022.41 per month (P&I only)

Types of Mortgages

Fixed-Rate Mortgages

The most common type. Your interest rate stays the same for the entire loan term, providing predictable monthly payments. Available in 10, 15, 20, 25, and 30-year terms.

  • Pros: Predictable payments, protection from rate increases
  • Cons: Higher initial rate than ARMs, won't benefit if rates drop

Adjustable-Rate Mortgages (ARMs)

Interest rate changes periodically based on market conditions. Common types include 5/1 ARM (fixed for 5 years, then adjusts annually) and 7/1 ARM.

  • Pros: Lower initial rate, good if you'll move before adjustment
  • Cons: Uncertainty, potential for significant payment increases

Down Payment and PMI

The down payment is the upfront cash you pay toward the home purchase. It affects your loan amount, monthly payment, and whether you need Private Mortgage Insurance (PMI).

Down Payment PMI Required? Impact
20% or more No Best rates, no extra insurance cost
10-19% Yes (until 20% equity) PMI adds 0.3-1.5% of loan annually
3.5% (FHA) Yes (MIP for loan life) Higher total cost, easier qualification
0% (VA/USDA) No PMI (funding fee instead) Available to qualified borrowers only
PMI Removal: Once you reach 20% equity, you can request PMI removal. At 22% equity, lenders must automatically cancel it. Consider making extra payments to reach this milestone faster.

Recurring Costs Beyond Principal & Interest

Property Taxes

Local governments charge property taxes based on your home's assessed value. Rates vary significantly by location, ranging from about 0.3% to over 2.5% annually. On a $400,000 home at 1.1%, expect about $4,400/year ($367/month).

Homeowner's Insurance

Required by lenders to protect the home against damage. Costs typically range from 0.25% to 1% of the home value annually. Factors affecting cost include location, home age, coverage level, and deductible.

HOA Fees

If your home is in a planned community or condo complex, you may pay monthly HOA fees for shared amenities and maintenance. These can range from $100 to $1,000+ monthly.

How to Pay Off Your Mortgage Early

1. Make Extra Principal Payments

Even small additional payments can significantly reduce your loan term and total interest. Adding $200/month to a $320,000 mortgage at 6.5% saves over $100,000 in interest and pays off the loan 9 years early.

2. Biweekly Payments

Instead of 12 monthly payments, make 26 half-payments. This equals 13 full payments per year, providing an extra payment annually without feeling the pinch.

3. Refinance to a Shorter Term

Refinancing from a 30-year to a 15-year mortgage typically offers a lower rate and much less total interest, though monthly payments will be higher.

4. Apply Windfalls

Use tax refunds, bonuses, or inheritance to make lump-sum principal payments.

Historical Context

Modern mortgages evolved significantly over the past century:

  • Pre-1930s: Mortgages required 50% down with 5-10 year terms and balloon payments
  • 1934: FHA created, introducing the 30-year fixed-rate mortgage
  • 1944: VA loans introduced for returning veterans with 0% down
  • 1970s-80s: Interest rates peaked at over 18% in 1981
  • 2000s: Subprime lending led to the 2008 financial crisis
  • 2020s: Rates hit historic lows (under 3%) before rising to 6-7%

Tips for First-Time Homebuyers

  1. Check your credit: Higher scores mean better rates. Aim for 740+
  2. Save for more than just the down payment: Budget for closing costs (2-5%), moving expenses, and repairs
  3. Get pre-approved: Know your budget before house hunting
  4. Don't max out your budget: Just because you qualify for a large loan doesn't mean you should take it
  5. Consider total cost: Factor in taxes, insurance, maintenance, and utilities
  6. Shop multiple lenders: Rates and fees vary significantly
  7. Lock your rate: Once approved, lock your rate to protect against increases during closing