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Bank Mortgage Loan Calculator

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 standard equation is used by banks and financial institutions worldwide.

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.

3. Importance of Mortgage Calculation

Details: Understanding your mortgage payments helps with budgeting, comparing loan offers, and planning your financial future. It shows how much interest you'll pay over the life of the loan.

4. Using the Calculator

Tips: Enter the principal amount in USD, annual interest rate as a percentage, and loan term in years. The calculator will show your monthly payment, total repayment amount, and total interest paid.

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 larger down payment affect payments?
A: A larger down payment reduces the principal (P), resulting in lower monthly payments and less total interest.

Q3: What's better - shorter term with higher payments or longer term?
A: Shorter terms mean higher payments but less total interest. Longer terms have lower payments but more total interest.

Q4: How does refinancing affect my loan?
A: Refinancing can lower payments if you get a better rate, but extending the term may increase total interest.

Q5: Are there prepayment penalties?
A: Some loans charge for early payoff. Check your loan terms as extra payments can save significant interest.

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