Mortgage Calculator
This calculator turns a house price into a monthly mortgage payment. Enter the price, your down payment, the annual rate and the term, and it returns the amount you will actually borrow, the monthly principal-and-interest payment, and the total interest over the life of the loan. Everything is computed in your browser — your price range and deposit never leave your device.
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- ✓ Free, no limits
How it's computed
The loan amount is the home price minus your down payment. The monthly payment then follows the standard amortization formula EMI = P·r·(1+r)ⁿ / ((1+r)ⁿ − 1). For the full month-by-month breakdown, open the loan calculator linked below with the same numbers.
From house price to loan amount
The first step is subtraction: the amount you borrow is the price minus the down payment. On a $300,000 home with 20% down, you borrow $240,000. Everything after that is a loan calculation on that figure, not on the price.
The ratio between the two has a name lenders care about a great deal — the loan-to-value, or LTV. Borrowing $240,000 against a $300,000 property is 80% LTV. That number, more than almost anything else about you, determines which products you are offered and at what rate, because it measures how much of the lender's money is exposed if the property has to be sold.
80% is the threshold that matters most in practice. Below it, in the United States, private mortgage insurance is generally not required; above it, you pay a monthly premium that protects the lender rather than you, and which can often be removed once you have built enough equity. In the UK the same logic appears as LTV bands, with visibly better rates at 75%, 80% and 90%. In both cases a slightly larger deposit that crosses a band can be worth more than it costs.
The monthly payment itself then uses the standard amortization formula: P·r·(1+r)ⁿ ÷ ((1+r)ⁿ − 1), with r the monthly rate and n the number of payments. It is the same arithmetic as any other instalment loan.
A worked example
A $300,000 home with $60,000 down, at 6% over 30 years:
price 300,000.00
down payment 60,000.00 (20%, so 80% LTV)
loan amount 240,000.00
monthly (P&I) 1,438.92
total paid 518,011.65
total interest 278,011.65Two figures deserve attention. The monthly payment of $1,438.92 is the one people shop on, because it is the one that has to fit alongside everything else you pay each month. The total interest of $278,011.65 is the one that decides what the house actually costs — more than the deposit you saved for, and more than the full price of a home in many markets.
It is also worth noticing what the deposit did. Putting down $60,000 rather than $30,000 does not just reduce the balance by thirty thousand; it moves you from 90% to 80% loan-to-value, which in most markets means a better rate on the whole loan and, in the US, no mortgage insurance. Run both and compare the totals rather than the monthly figures alone.
For the full month-by-month breakdown of how each payment splits between interest and principal, put the loan amount into the related loan calculator; it renders the complete 360-row schedule.
What your lender adds that this does not
The figure above is principal and interest only. Your actual monthly outgoing will be higher, and the gap is not small — this is the single most common way people misjudge affordability.
In the United States, lenders typically collect property taxes and homeowner's insurance alongside the payment and hold them in escrow, paying the bills on your behalf. Depending on the state, that can add several hundred dollars a month, and property tax in particular varies enormously by county. If your down payment is under 20%, private mortgage insurance is added on top. A condominium or a managed development adds HOA fees, which the lender does not collect but you must still pay.
In the UK the structure differs — council tax and buildings insurance are paid separately rather than escrowed — but the principle is identical: the mortgage payment is not the cost of owning the property. Add maintenance to all of it, for which a common rule of thumb is one per cent of the property value a year.
There are also one-off costs the monthly figure hides entirely: arrangement or origination fees, valuation and survey, legal fees, and in the UK stamp duty, which on a mid-priced home can run to thousands. These are paid at purchase and are frequently the constraint that decides whether a deal is possible at all.
The practical way to use this calculator is therefore to treat its output as a floor. Work out the principal and interest here, then add your local taxes, insurance and any mortgage insurance before deciding what you can afford.
Term, rate and deposit — what actually moves the number
Changing the term is the biggest lever on total cost, and it works in the opposite direction to the monthly payment. That same $240,000 at 6% over fifteen years costs $2,025.26 a month rather than $1,438.92 — but total interest falls from $278,011.65 to $124,546.15. Paying $586 more each month saves $153,465 over the loan.
This is the real trade-off behind the popularity of the thirty-year term: it buys a lower monthly payment with a much larger total cost. Neither choice is wrong, but the comparison should be made deliberately rather than by default, and it is worth running both here before deciding.
The rate matters most on long terms, because there is more time for the difference to compound. On a thirty-year loan, a single percentage point typically changes the monthly payment by roughly a tenth and the total interest by far more — which is why shopping more than one lender is usually worth more per hour than any other part of the process.
The down payment does two things at once: it reduces the amount borrowed, and it lowers the LTV. The second effect is often larger than the first, because crossing a band can unlock a better rate on the entire balance and remove mortgage insurance altogether. Try several deposit figures here and watch both the payment and the LTV, rather than optimising the payment alone.
These are estimates for comparing scenarios, not a quote, and this is general information rather than financial advice. Confirm the exact figures with a lender or broker before committing.
Frequently asked questions
How is a monthly mortgage payment calculated?
The loan amount is the price minus your down payment, and that figure is amortized with P·r·(1+r)ⁿ ÷ ((1+r)ⁿ − 1), where r is the monthly rate and n the number of payments. A $240,000 loan at 6% over 30 years works out to about $1,438.92 a month in principal and interest.
How much down payment do I need?
20% is the threshold worth aiming at, because it puts you at 80% loan-to-value — the point at which US lenders generally stop requiring private mortgage insurance and UK lenders offer visibly better rates. A slightly larger deposit that crosses an LTV band is often worth more than the extra cash costs you.
Does this include property tax and insurance?
No — it computes principal and interest only. US lenders typically escrow property taxes and homeowner's insurance on top, which can add several hundred dollars a month, plus mortgage insurance below 20% down and HOA fees where they apply. Treat the figure here as a floor, not the whole cost.
Should I take a 15-year or a 30-year mortgage?
It is a trade between monthly affordability and total cost. On $240,000 at 6%, fifteen years costs $2,025.26 a month against $1,438.92 for thirty — but total interest falls from $278,011.65 to $124,546.15, a saving of $153,465. Run both here and decide deliberately rather than by default.
What is LTV and why does it matter?
Loan-to-value is the loan as a percentage of the property price — $240,000 on a $300,000 home is 80%. It measures the lender's exposure, so it drives both which products you are offered and the rate on them. Rates improve in steps at bands like 90%, 80% and 75% rather than smoothly.
Are my figures uploaded anywhere?
No. What you can afford and what you have saved are among the more sensitive numbers you could type into a website, and neither leaves your device — the whole calculation runs in your browser. Disconnect from the internet after the page loads and it still works.