Mortgage Calculator

Calculate your mortgage payments, total interest, and payoff date with our free mortgage calculator. Easily factor in property taxes, insurance, and HOA fees for a comprehensive view of your home financing costs.

About

Loan Amount Input

Enter the total amount you plan to borrow for your mortgage.

Down Payment Options

Input either a fixed dollar amount or percentage for your down payment.

Interest Rate Input

Enter the annual interest rate for your mortgage loan.

Loan Term Selection

Specify the length of your mortgage, typically 15 or 30 years.

Additional Costs

Include property tax, home insurance, PMI, and HOA fees for a complete cost picture.

Amortization Schedule

View a detailed year-by-year breakdown of interest, principal, and remaining balance.

Results Summary

See monthly payment, total interest, total payment including annual costs, and payoff date.

Reference

Mortgage lending is a common method for financing the purchase of a home or real estate property. The key components that determine mortgage costs and payments include:

- Principal Loan Amount: The total borrowed sum that needs to be repaid.
- Down Payment: The upfront cash amount paid towards the home purchase, reducing the loan principal.
- Interest Rate: The annual percentage charged by the lender on the outstanding loan balance.
- Loan Term: The number of years over which the loan must be fully repaid, typically 15 or 30 years.

Other factors like property taxes, homeowner's insurance, private mortgage insurance (for low down payments), and HOA fees can also impact the overall monthly housing costs.

Calculation

The core mortgage calculation determines the monthly payment amount required to fully pay off the principal loan balance plus interest over the specified loan term. The formula is:

Monthly Payment = [P * r(1+r)^n] / [(1+r)^n - 1]

Where:
P = Principal Loan Amount
r = Periodic Interest Rate (Annual Rate / 12 for monthly payments)
n = Number of Periodic Payments (Loan Term in Years * 12)

Additional calculations account for the allocation between principal and interest for each periodic payment to create an amortization schedule showing how the loan balance decreases over time. Total interest paid is calculated as the sum of all interest portions from the amortization schedule.

Frequently Asked Questions

What is private mortgage insurance (PMI)?
PMI is insurance that protects the lender if the borrower defaults on the mortgage, usually required for down payments below 20%.
How does the down payment affect my mortgage?
A larger down payment reduces the loan principal, resulting in lower monthly payments and less total interest paid over the loan term.
What happens if I pay extra towards my mortgage each month?
Paying extra reduces your remaining principal balance faster, allowing you to pay off the mortgage sooner and save on total interest costs.
Can I change the loan term from 30 years to 15 years?
Yes, a shorter loan term like 15 years results in higher monthly payments but much less total interest paid over the life of the loan.
What costs are included in the 'total payment' calculation?
The total payment includes the base mortgage payment, property taxes, homeowner's insurance, PMI (if applicable), and HOA fees annually.