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Mortgage Payment Formula:

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

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1. What is the Mortgage Payment Formula?

The mortgage payment formula calculates the fixed monthly payment required to fully amortize a loan over its term. This is the standard formula used by banks and financial institutions to determine mortgage payments.

2. How Does the Calculator Work?

The calculator uses the mortgage payment formula:

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

Where:

Explanation: The formula accounts for both principal repayment and interest charges, with the payment amount remaining constant throughout the loan term while the proportion going to principal increases over time.

3. Importance of Mortgage Calculation

Details: Understanding your mortgage payment helps with budgeting, comparing loan offers, and making informed decisions about home affordability. It also shows the total cost of borrowing over the loan term.

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. A full mortgage payment often includes escrow for taxes and insurance (PITI).

Q2: How does a larger down payment affect the payment?
A: A larger down payment reduces the loan amount (P), resulting in a lower monthly payment and less total interest paid.

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

Q4: How do interest rates affect payments?
A: Higher rates increase both monthly payments and total interest. Even a 0.5% difference can significantly impact the total cost.

Q5: Can I pay extra to reduce the loan term?
A: Yes, additional principal payments reduce the loan balance faster and can shorten the loan term, saving substantial interest.

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