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Loan Payment Calculator Mortgage Amortization Based On

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. It accounts for both principal and interest payments, with the payment amount remaining constant throughout the loan term.

2. How Does the Calculator Work?

The calculator uses the standard mortgage payment formula:

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

Where:

Explanation: The formula calculates the fixed payment that will pay off the loan exactly by the end of the term, accounting for compound interest.

3. Importance of Mortgage Calculation

Details: Understanding your mortgage payment helps with budgeting, comparing loan offers, and making informed decisions about home affordability and refinancing options.

4. Using the Calculator

Tips: Enter the principal amount in USD, 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 larger down payment affect payments?
A: A larger down payment reduces the principal amount, resulting in lower monthly payments and less total interest paid.

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

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

Q5: Are there prepayment penalties?
A: Some loans have penalties for early payoff. Check your loan terms if you plan to make extra payments.

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