Mortgage Calculator Usa
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Reviewed by Calculator Editorial Team
Use this mortgage calculator to estimate your monthly payments, total interest, and loan amortization schedule for a home purchase in the USA. The calculator uses standard mortgage formulas to provide quick, accurate results based on your loan amount, interest rate, and term.
How to Use This Calculator
To calculate your mortgage payments:
- Enter the loan amount (the total amount you're borrowing)
- Input your annual interest rate (APR)
- Select the loan term in years
- Click "Calculate" to see your monthly payment and other details
The calculator will display your estimated monthly payment, total interest paid over the life of the loan, and a breakdown of how much principal and interest you'll pay each year.
Formula Used
The mortgage payment is calculated using the standard mortgage formula:
Mortgage Payment Formula
M = P [ i(1 + i)^n ] / [ (1 + i)^n - 1 ]
Where:
- M = Monthly payment
- P = Principal loan amount
- i = Monthly interest rate (annual rate divided by 12)
- n = Number of payments (loan term in years multiplied by 12)
This formula calculates the fixed monthly payment required to fully amortize a loan over the specified term.
Worked Example
Let's calculate a mortgage payment for a $200,000 loan at 4.5% annual interest for 30 years:
- Principal (P) = $200,000
- Annual interest rate = 4.5% or 0.045
- Monthly interest rate (i) = 0.045 / 12 ≈ 0.00375
- Number of payments (n) = 30 years × 12 = 360
Plugging these values into the formula:
Calculation Steps
M = 200,000 [ 0.00375(1 + 0.00375)^360 ] / [ (1 + 0.00375)^360 - 1 ]
M ≈ $1,073.64
This means you would pay approximately $1,073.64 per month for a 30-year mortgage on $200,000 at 4.5% interest.
Frequently Asked Questions
What is the difference between APR and interest rate?
APR (Annual Percentage Rate) is the total annual cost of borrowing, including fees and other charges. The interest rate is the portion of APR that represents the actual cost of borrowing. APR is always higher than the interest rate.
How does a 15-year mortgage compare to a 30-year mortgage?
A 15-year mortgage typically has lower monthly payments but higher total interest costs compared to a 30-year mortgage. The choice depends on your financial situation and whether you plan to stay in the home for the long term.
What is PMI and when is it required?
PMI (Private Mortgage Insurance) is required when you put down less than 20% of the home's value. It protects the lender in case you default on the loan. PMI is usually temporary and can be canceled once your equity reaches 20%.