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Mortgage Calculator

Monthly payment · PITI · Total interest · Amortization schedule · PMI · Extra payments · 20 currencies

✓ Free ✓ 20 Currencies ✓ Full Schedule
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▼ Taxes & Insurance Click to collapse
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▼ Extra Payments Click to collapse
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How to Use This Mortgage Calculator

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Enter home details
Input home price, down payment, loan term, and your interest rate. The calculator auto-fills typical values - adjust to match your scenario.
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Add taxes & insurance
Expand the Taxes & Insurance section to include property tax, homeowner's insurance, PMI, and HOA for a realistic PITI total.
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View amortization
See your full amortization schedule monthly or yearly, export to CSV, and model the savings from extra payments.

The Mortgage Payment Formula

All fixed-rate mortgage payments are calculated using the standard amortization formula, which produces equal payments that cover both interest and principal, reducing the balance to exactly zero on the final payment:

M = P × [ r(1+r)ⁿ ] ÷ [ (1+r)ⁿ - 1 ] M = monthly payment · P = principal (loan amount) · r = monthly rate (annual rate ÷ 12) · n = total payments (years × 12) Example: $320,000 at 6.57% for 30 yrs → r = 0.5475%/mo, n = 360 → M = $2,046.03/mo

PITI: The True Monthly Mortgage Cost

Your actual monthly housing cost - called PITI - is typically much higher than just the P&I (principal and interest) payment. PITI stands for:

  • Principal (P): The portion that reduces your loan balance. Starts small and grows over time as interest decreases.
  • Interest (I): The lender's fee, charged monthly on the outstanding balance. Highest in early payments, decreasing each month.
  • Taxes (T): Property taxes, typically collected monthly via escrow and paid to your local government. US average: ~1.1% of home value annually.
  • Insurance (I): Homeowner's insurance (required by lenders) plus PMI if your down payment is under 20%.
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Most mortgage lenders require your total PITI to be no more than 28% of your gross monthly income (the "front-end ratio"). Your total debt-to-income ratio (PITI + all other debts) should ideally stay below 36-43%.

What Is PMI and When Does It End?

PMI (Private Mortgage Insurance) is required when your down payment is less than 20% of the home price (loan-to-value ratio above 80%). It protects the lender - not you - against default. PMI typically costs 0.5-1.5% of the loan amount per year, or roughly $50-$150/month per $100,000 borrowed.

Under the Homeowners Protection Act of 1998, lenders must automatically cancel PMI when your loan balance reaches 78% of the original purchase price. You can also request cancellation at 80% LTV if your home hasn't declined in value. Enter your PMI rate in the Taxes & Insurance section above to see exactly when your PMI drops off.

Understanding Amortization

Amortization is the process of gradually paying down a loan through fixed equal payments. In the early years of a mortgage, the vast majority of each payment goes toward interest - not principal. For example, on a $320,000 loan at 6.57%, your very first payment of $2,046 breaks down as roughly $1,762 interest and $284 principal. By payment 300, it's approximately $900 interest and $1,146 principal.

This is why extra payments made early in a mortgage save dramatically more interest than the same extra payments made later - they eliminate future high-interest payments first.

Extra Mortgage Payments: How Much Do They Save?

Even small extra payments made consistently can cut years off your mortgage and save tens of thousands in interest. Here's what extra payments do on a $320,000 loan at 6.57% over 30 years:

Extra Monthly PaymentInterest SavedLoan Paid OffTime Saved
$0 (baseline)-30 years-
$100/month~$31,500~26.5 years3.5 years earlier
$200/month~$57,000~23.5 years6.5 years earlier
$500/month~$106,000~18 years12 years earlier
One extra payment/year~$45,000~25 years5 years earlier
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Best time to make extra payments: As early as possible. Extra payments in year 1 save significantly more than the same amount in year 20, because they eliminate high-interest early payments. Even a single large lump-sum payment in year 1 can save $20,000+ in interest.

15-Year vs 30-Year Mortgage: Full Comparison

The two most common mortgage terms differ dramatically in total interest paid and monthly payment:

ScenarioMonthly PaymentTotal InterestTotal Paid
$320,000 at 6.57% - 30 years$2,046$416,572$736,572
$320,000 at 6.00% - 15 years$2,703$166,500$486,500
Difference+$657/mo for 15-yrSave $250,000 with 15-yrSave $250,072

The 15-year mortgage saves roughly $250,000 in interest, but requires $657/month more. The decision depends on your cash flow, investment opportunities, and risk tolerance. If you can invest the $657 difference at a higher return than 6%, the 30-year mortgage may actually be financially optimal.

Frequently Asked Questions

How much house can I afford?
The standard guideline is the 28/36 rule: spend no more than 28% of gross monthly income on housing (PITI) and no more than 36% on total debt. For a household earning $8,000/month, max PITI is $2,240/month. At a 6.57% rate with 20% down, this corresponds to a home price of roughly $370,000-$380,000. Use this calculator to test different scenarios.
What credit score do I need for a mortgage?
Conventional loans typically require a minimum 620 credit score, though 740+ earns the best rates. FHA loans allow scores as low as 500 (with 10% down) or 580 (with 3.5% down). VA loans have no minimum score but lenders usually want 620+. A 50-point score difference can change your interest rate by 0.25-0.5%, which adds up to tens of thousands in interest over a 30-year loan.
Should I pay points to lower my rate?
One discount point costs 1% of the loan amount and typically reduces the rate by 0.25%. The break-even calculation: divide the upfront cost by the monthly savings. If paying 1 point ($3,200 on a $320,000 loan) saves $50/month, your break-even is 64 months (5.3 years). If you plan to stay longer than the break-even point, buying points makes financial sense.
What is an amortization schedule?
An amortization schedule is a complete table of every loan payment, showing how much goes to interest and principal each month, plus the remaining balance. Early payments are mostly interest; later payments are mostly principal. This calculator generates the full monthly and yearly schedule, which you can export to CSV.
Is a fixed or adjustable rate mortgage better?
Fixed-rate mortgages offer payment certainty for the full loan term. ARMs (adjustable-rate mortgages) typically start lower but reset periodically. ARMs make sense if you plan to sell or refinance before the first adjustment (typically 5-7 years). In a high-rate environment where rates may fall, ARMs can also make sense. For most buyers planning to stay long-term, a fixed-rate mortgage is lower risk.