Mortgage Calculator Usa Bankrate

Use this mortgage calculator to estimate your monthly payments, total interest, and loan payoff date based on standard USA mortgage terms. The calculator follows Bankrate's methodology for accurate results.

How to Use This Mortgage Calculator

To calculate your mortgage payments:

Enter your loan amount in dollars
Select your loan term in years
Enter your annual interest rate (APR)
Click "Calculate" to see your results

The calculator will show you:

Monthly payment amount
Total interest paid over the loan term
Estimated payoff date
A breakdown of principal and interest payments

Note

This calculator uses standard USA mortgage formulas. Results may vary slightly from actual mortgage offers due to lender-specific terms and fees.

Mortgage Payment Formula

The monthly mortgage payment is calculated using the standard formula for amortizing loans:

Monthly Payment Formula

M = P [ i(1 + i)ⁿ ] / [ (1 + i)ⁿ - 1 ]

Where:

M = Monthly payment
P = Principal loan amount
i = Monthly interest rate (APR/12/100)
n = Number of payments (loan term in years × 12)

The total interest paid over the life of the loan is calculated by multiplying the monthly payment by the number of payments and subtracting the original loan amount.

Worked Example

Let's calculate a mortgage for $200,000 at 4.5% APR over 30 years:

Principal (P) = $200,000
Annual interest rate = 4.5%
Monthly interest rate (i) = 4.5%/12/100 = 0.00375
Number of payments (n) = 30 × 12 = 360

Plugging these values into the formula:

Calculation

M = $200,000 [ 0.00375(1 + 0.00375)³⁶⁰ ] / [ (1 + 0.00375)³⁶⁰ - 1 ]

M ≈ $200,000 [ 0.00375 × 1.1316 ] / [ 1.1316 - 1 ]

M ≈ $200,000 × 0.004186 / 0.1316

M ≈ $200,000 × 0.0318

M ≈ $636.00

Total interest paid over 30 years: $200,000 × 360 - $200,000 = $552,000

Estimated payoff date: Current date + 30 years

Frequently Asked Questions

What is the difference between APR and APY?

APR (Annual Percentage Rate) is the simple annual interest rate, while APY (Annual Percentage Yield) includes compounding effects. APY is always higher than APR for the same loan.

How does mortgage insurance affect my payments?

Mortgage insurance (PMI) is typically required for loans with a down payment under 20%. It adds 0.3% to 1.1% to your monthly payment and is removed once your loan balance is 78% of the original value.

What is the difference between fixed and adjustable-rate mortgages?

Fixed-rate mortgages have the same interest rate for the entire loan term, while adjustable-rate mortgages (ARMs) have an initial fixed rate that changes after a set period. ARMs typically have lower initial rates but may increase over time.