Faro Labs / Tools / Mortgage calculator

Mortgage calculator

Your true monthly payment is more than principal and interest. Enter the price, down payment, rate, and term to see the full PITI payment, total interest over the life of the loan, and a year-by-year amortization schedule.

Inputs
Purchase
$
%
Loan
%
yr
%
Annual carrying costs
$
$
$
Monthly payment
$2,797Principal & interest $2,205 · loan $340,000

Over 30 years you pay $453,884 in interest: a total loan cost of $793,884 on $340,000 borrowed.

Principal & interest$2,205
Property tax$442
Insurance$150
Total monthly payment$2,797

Want the full month-by-month table and extra-payment scenarios? Use the loan amortization calculator.

The schedule

Where your payments go, year by year

Early on, most of each payment is interest. This is the balance, principal, and interest for a $425,000 home at 20% down and the rate above.

YearPrincipal paidInterest paidBalance
1$3,624$22,839$336,376
2$3,876$22,587$332,501
3$4,146$22,317$328,355
5$4,743$21,720$319,177
10$6,641$19,822$290,023
15$9,298$17,165$249,204
20$13,018$13,444$192,053
30$25,520$943$0
The formula

How a mortgage payment is calculated

monthly payment = PITI: principal + interest + taxes + insurance
principal & interest = loan × [ i(1+i)ⁿ ] ÷ [ (1+i)ⁿ − 1 ]
i = monthly rate, n = number of payments

The principal-and-interest formula amortizes the loan: it finds the fixed payment that pays the balance to exactly zero over the term. The reason your early payments barely dent the balance is that interest is charged on the whole outstanding amount first, and only what's left over reduces principal. As the balance falls, the interest portion shrinks and principal accelerates.

Why the payment isn't the whole cost

Principal and interest are only the loan. A real monthly obligation adds property tax and homeowners insurance, usually collected into an escrow account, plus PMI if you put less than 20% down, and HOA or condo dues where they apply. Budgeting off principal and interest alone is how buyers get surprised at closing.

Escrow, briefly

Most lenders collect one-twelfth of your annual taxes and insurance with every payment and pay those bills for you. Your payment can change year to year as tax assessments and premiums move, even on a fixed-rate loan.

Questions

Mortgage questions

What is included in a monthly mortgage payment?

Four things, often called PITI: principal, interest, property taxes, and insurance. If your down payment is under 20 percent you usually add private mortgage insurance (PMI), and a condo or HOA property adds dues on top. This calculator sums all of them so the number you see is the number you'll actually pay.

How much of my early payments goes to interest?

Most of it. On a 30-year loan at today's rates, the first payment is roughly three-quarters interest and one-quarter principal. The mix shifts slowly in your favor as the balance falls, which is exactly why the year-by-year schedule above is worth reading before you assume you're building equity quickly.

When can I drop PMI?

On a conventional loan, PMI is automatically cancelled once the balance reaches 78 percent of the original value, and you can request removal at 80 percent. Paying extra principal, or a market that appreciates, gets you there sooner. FHA mortgage insurance follows different rules and often lasts the life of the loan.

Does a shorter term actually save money?

Yes, substantially. A 15-year loan carries a higher monthly payment but far less total interest, because you borrow the money for half as long and usually at a lower rate. The tradeoff is flexibility: the higher required payment is locked in, whereas a 30-year loan lets you pay extra voluntarily and drop back when cash is tight.

Is this the right calculator for a rental property?

This one gives you the payment. To see whether a rental actually cash-flows after that payment, use the cash-on-cash and DSCR calculators, or paste the listing into Faro for the full underwrite.

Related

Every calculator

Buying it as a rental?

Paste a listing and Faro underwrites the whole deal, payment, cash flow, and what to offer, from real comps.