Home Back

Home Loan Payment Calculator

Home Loan Payment Formula:

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

$
%
years

Unit Converter ▲

Unit Converter ▼

From: To:

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 is the standard formula used for fixed-rate mortgages.

2. How Does the Calculator Work?

The calculator uses the home loan payment formula:

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

Where:

Explanation: The formula accounts for both principal and interest payments over the life of the loan, with payments remaining constant but the proportion of principal to interest changing over time.

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting and determining how much house you can afford. It's essential for comparing different loan options.

4. Using the Calculator

Tips: Enter the loan amount in dollars, annual 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 payment may include escrow for taxes and insurance.

Q2: How does a higher interest rate affect payments?
A: Higher rates increase monthly payments. A 1% rate increase can significantly raise your payment amount.

Q3: What's the difference between 15-year and 30-year mortgages?
A: 15-year loans have higher monthly payments but much less total interest. 30-year loans have lower payments but more total interest.

Q4: Can I calculate payments for adjustable-rate mortgages?
A: This calculator is for fixed-rate loans only. ARM payments can change after the initial fixed period.

Q5: How much can I save by making extra payments?
A: Extra payments reduce principal faster, saving interest and potentially shortening the loan term.

Home Loan Payment Calculator© - All Rights Reserved 2025