Mortgage Calculator
Determine your precise monthly home payment, visualize your amortization breakdown, and calculate total interest costs instantly.
Calculator Overview
Variables Considered
- • Principal Amount: The home price minus your down payment. This is the actual amount you are borrowing from the bank.
- • Interest Rate: The annualized cost of borrowing the money, which heavily influences your monthly payment.
- • Taxes & Insurance: Escrow costs spread out over 12 months and added to your base payment.
The Amortization Formula
The mathematical formula calculates a fixed monthly payment (M) ensuring the loan is exactly paid off at the end of the term (n months) given a monthly interest rate (r):
M = P [ r(1 + r)^n ] / [ (1 + r)^n - 1 ]
Note: Total Payment = M + (Annual Taxes / 12) + (Annual Insurance / 12)
Understanding Your Mortgage (PITI)
When you buy a home, your monthly payment consists of much more than just paying back the money you borrowed. Lenders require your payment to cover four main components, collectively known as PITI.
payments Principal & Interest
Principal is the money going toward paying down the actual balance of your loan, building your home equity. Interest is the fee the bank charges you to borrow that money. In the early years of a mortgage, the vast majority of your payment goes toward interest. Toward the end of the loan, most of it goes toward principal.
gavel Property Taxes
Local governments assess taxes on your property to fund schools, roads, and emergency services. Rather than paying a massive tax bill once a year, lenders divide your estimated annual tax bill by 12 and add it to your monthly mortgage payment, holding the funds in an "escrow account" until the bill is due.
shield Homeowners Insurance
Because the bank has a financial stake in your home, they require you to carry insurance to protect the property against fire, theft, and natural disasters. Like taxes, this annual premium is usually divided by 12 and paid monthly into your escrow account.
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Frequently Asked Questions
How is a monthly mortgage payment calculated?
Your monthly payment is determined by a standard amortization formula that factors in your principal loan amount, your annual interest rate, and the term of your loan (typically 15 or 30 years). This calculates your 'Principal and Interest' (P&I). Our calculator also allows you to add estimated property taxes and homeowners insurance to find your total PITI payment.
What does PITI stand for?
PITI stands for Principal, Interest, Taxes, and Insurance. It represents the total monthly cost of owning a home. Lenders use your PITI to determine if you qualify for a mortgage based on your debt-to-income ratio.
How much should I put down for a down payment?
While a 20% down payment is the traditional standard to avoid Private Mortgage Insurance (PMI), many buyers put down between 3% and 10% depending on their loan program (like FHA or conventional loans). However, a larger down payment will significantly lower your monthly payment and total interest paid.
Should I choose a 15-year or 30-year mortgage?
A 30-year mortgage offers much lower monthly payments, giving you more flexibility in your monthly budget. A 15-year mortgage has higher monthly payments, but usually comes with a lower interest rate and saves you tens or even hundreds of thousands of dollars in total interest over the life of the loan.
Does this calculator include PMI (Private Mortgage Insurance)?
This specific rapid-estimate calculator focuses on Principal, Interest, Taxes, and Insurance. If your down payment is less than 20%, you should typically expect an additional monthly fee for PMI, which varies based on your credit score and loan type.