Free Mortgage Calculator

Mortgage Calculator

Find out your monthly mortgage payment, total interest cost, and overall price of your home loan. Compare 15-year vs 30-year terms and see how extra payments save you money.

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$
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6.5%
🏠Monthly Payment$0.00
Loan Amount$0.00
Total Interest$0.00
Total Paid$0.00
Copied!

Background

A mortgage calculator estimates your monthly home loan payment based on the purchase price, down payment, interest rate, and loan term. It shows how much of each payment goes to interest vs. principal and the total cost over the life of the loan.

This free mortgage calculator gives instant results as you adjust any input. Compare different loan terms, see the impact of a larger down payment, or test what happens when rates change by half a percent.

Enter your home price

Type the full purchase price of the home. Then enter your down payment — the amount you'll pay upfront. The calculator computes the loan amount (home price minus down payment) and uses your interest rate and term to find the monthly payment.

Home Price$350,000
Down− $70,000
Loan$280,000
Monthly$1,770

How to use this mortgage calculator

Four inputs, instant answer:

1

Enter the home price

Type the full purchase price. You can also enter just the loan amount and set the down payment to $0.

2

Set the interest rate

Type your rate or drag the slider. Even small changes — like 6.5% vs 7.0% — make a big difference over 30 years.

3

Read the results

Your monthly payment, total interest, and total cost appear instantly. Compare terms by tapping 15yr vs 30yr.

How this mortgage calculator works

It uses the standard amortization formula that banks use. Each monthly payment covers part interest and part principal. Early payments are mostly interest; later payments are mostly principal.

Step 1 — Find Monthly Rate
r = Annual Rate ÷ 12
6.5% ÷ 12 = 0.5417%
Step 2 — Count Payments
n = Term in Years × 12
30 × 12 = 360 payments
Step 3 — Apply Formula
M = P × [r(1+r)ⁿ] / [(1+r)ⁿ − 1]
$280,000 → $1,770/mo

Formula & Equation Used

The standard fixed-rate mortgage payment formula:

M=P×r(1+r)ⁿ÷[(1+r)ⁿ − 1]

Where: M = monthly payment, P = loan principal, r = monthly interest rate (annual ÷ 12), n = total number of payments (years × 12).

Total Interest=(M × n)P

Try it yourself

Monthly Payment$1,663
Total Interest$348,772

Example Problem & Step-by-Step Solution

You want to buy a $400,000 home with 20% down ($80,000) at 6.75% interest on a 30-year fixed mortgage. What's the monthly payment and total interest?

Step 1 — Calculate the loan amount
$400,000 − $80,000 (20% down)
Loan principal = $320,000
Step 2 — Find the monthly payment
r = 6.75% ÷ 12 = 0.5625%, n = 360
Monthly payment = $2,075.18
Step 3 — Calculate total interest
($2,075.18 × 360) − $320,000
Total interest = $427,065 over 30 years

That $320,000 loan costs you $747,065 in total ($320K principal + $427K interest). A 15-year term at the same rate would cost $2,830/mo but only $189,427 in total interest — saving you $237,638.

Frequently Asked Questions

How much house can I afford?

A common guideline: your monthly mortgage payment should be no more than 28% of your gross monthly income. If you earn $6,000/month, aim for a payment under $1,680. But also factor in property taxes, insurance, and maintenance.

What's the difference between fixed and adjustable rates?

A fixed-rate mortgage locks in the same interest rate for the full loan term. An adjustable-rate mortgage (ARM) starts with a lower rate that can change periodically after an initial fixed period (like 5 years). ARMs can go up or down based on market rates.

Should I get a 15-year or 30-year mortgage?

A 15-year mortgage has higher monthly payments but saves you a massive amount in interest. A 30-year gives you lower monthly payments and more flexibility. Use this calculator to compare both — the interest savings are often hundreds of thousands of dollars.

Does this include property tax and insurance?

This calculator shows principal and interest only. Your actual monthly payment will also include property taxes (~1-2% of home value per year) and homeowner's insurance (~$100-300/month). Some lenders bundle these into an escrow payment.

What is a mortgage?

A mortgage is a loan used to buy real estate. The property itself serves as collateral — if you stop making payments, the lender can take the property through foreclosure. Most home buyers can't pay cash, so mortgages make homeownership possible by spreading the cost over 15-30 years.

The word "mortgage" comes from Old French, meaning "death pledge." Not because it's dangerous — but because the pledge "dies" when the debt is paid off or the property is sold.

Key mortgage milestones in the US

1930s
The FHA is created during the Great Depression. Before this, mortgages required 50% down and 5-year terms. FHA introduced the long-term, low-down-payment mortgage.
1944
The GI Bill gives returning WWII veterans access to zero-down-payment mortgages. Suburban homeownership booms.
1970s
Mortgage rates climb above 8%. The 30-year fixed-rate mortgage becomes the American standard.
2008
The housing crisis hits. Subprime lending and mortgage-backed securities collapse. Millions lose homes to foreclosure. Lending standards tighten.
Today
Rates fluctuate between 6-8%. The median US home price is around $400,000. Online mortgage calculators help buyers plan before applying.

How interest rates affect your payment

Small rate changes have an outsized impact on a 30-year loan. Here's what a $300,000 loan costs at different rates:

5.0% rate
$1,610/mo
5.5% rate
$1,703/mo
6.0% rate
$1,799/mo
6.5% rate
$1,896/mo
7.0% rate
$1,996/mo
7.5% rate
$2,098/mo
8.0% rate
$2,201/mo

From 5% to 8%, your monthly payment increases by $591 — and total interest nearly doubles. That 3-point rate difference costs $212,760 over 30 years.

Mortgage numbers

$400K
median US home price (2024)
30 yrs
most popular mortgage term in the US
~6-7%
average 30-year fixed rate (2024)
20%
typical down payment to avoid PMI
$12T+
total US outstanding mortgage debt
66%
US homeownership rate

Types of mortgages

🔒

Fixed-rate mortgage

Same rate and payment for the full term
Most popular choice (90%+ of borrowers)
Predictable budgeting — no surprises
Fixed-rate mortgages are the standard in the US. Your rate is locked when you close, and it never changes. If rates drop, you can refinance. The trade-off: fixed rates are typically 0.5-1% higher than initial ARM rates. Available in 10, 15, 20, and 30-year terms.
📈

Adjustable-rate (ARM)

Lower initial rate, adjusts after fixed period
Common types: 5/1, 7/1, 10/1 ARMs
Rate caps limit how much it can increase
A 5/1 ARM offers a fixed rate for 5 years, then adjusts annually. The initial rate is lower than a fixed mortgage, saving money if you plan to sell or refinance before the adjustment period. Risk: if rates rise sharply, your payment could increase by hundreds per month.
🏛️

FHA loan

As low as 3.5% down payment
Lower credit score requirements (580+)
Requires mortgage insurance premium (MIP)
FHA loans are backed by the Federal Housing Administration. They're designed for first-time buyers or those with lower credit scores. The catch: you pay mortgage insurance for the life of the loan (unless you refinance to a conventional loan later). This adds $100-300/month depending on the loan amount.

Calculator features explained

🏠

Home price & down payment

Enter the purchase price and how much you'll put down. The loan amount is calculated automatically.

%

Interest rate

Type your quoted rate or use the slider. Even 0.25% makes a noticeable difference on a large loan.

📅

Loan term

Pick 10, 15, 20, or 30 years. Shorter terms have higher payments but dramatically lower total interest costs.

📋

Copy results

Hit Copy to send your payment breakdown to the clipboard. Share with your partner or mortgage broker.

FAQ

What is PMI and when do I need it?

Private Mortgage Insurance (PMI) is required when your down payment is less than 20% of the home price. It protects the lender, not you. PMI typically costs 0.5-1% of the loan annually. It's removed once you reach 20% equity.

Can I pay off my mortgage early?

Yes. Most mortgages have no prepayment penalty. Adding even $100/month extra to your payment can shave years off the loan and save tens of thousands in interest. Direct extra payments toward the principal.

What credit score do I need for a mortgage?

Conventional loans typically need 620+. FHA loans accept 580+ (with 3.5% down) or even 500-579 (with 10% down). Higher scores get better rates — a 760+ score might save you 0.5-1% on your rate compared to a 620 score.