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Bankrate Home Loan Calculator

Home Loan Payment Formula:

\[ PMT = P \times \frac{r(1 + r)^n}{(1 + r)^n - 1} \]

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1. What is the Home Loan Payment Formula?

The home loan payment formula calculates the fixed monthly payment required to fully amortize a loan over its term. This formula is used by lenders to determine your mortgage payments.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

\[ PMT = P \times \frac{r(1 + r)^n}{(1 + r)^n - 1} \]

Where:

Explanation: The formula accounts for both principal and interest payments over the life of the loan.

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting and determining how much house you can afford. It also shows how interest rates and loan terms affect your payments.

4. Using the Calculator

Tips: Enter the loan amount in dollars, interest rate as a percentage (e.g., 3.5 for 3.5%), and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include property taxes and insurance?
A: No, this calculates only principal and interest. Your actual mortgage payment may include escrow for taxes and insurance.

Q2: How does a larger down payment affect the payment?
A: A larger down payment reduces the principal (P), which directly lowers your monthly payment.

Q3: What's better - shorter term or lower rate?
A: Shorter terms mean higher payments but less total interest. Lower rates reduce both payment and total interest.

Q4: How often are payments calculated?
A: Mortgage payments are typically calculated monthly, though some loans offer biweekly payment options.

Q5: Can I use this for other types of loans?
A: Yes, this formula works for any fixed-rate installment loan (car loans, personal loans, etc.).

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