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Home Loan Mortgage Repayments 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. It accounts for the principal amount, interest rate, and loan duration to determine regular payments.

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 pays off the loan with interest over the specified term.

3. Importance of Mortgage Calculation

Details: Understanding your mortgage payments helps with budgeting, comparing loan options, and planning your financial future. It shows how much of each payment goes toward principal vs. interest.

4. Using the Calculator

Tips: Enter the loan 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 (P), resulting in lower monthly payments.

Q3: What's the difference between 15-year and 30-year mortgages?
A: Shorter terms have higher monthly payments but pay less total interest over the life of the loan.

Q4: How does interest rate affect payments?
A: Higher rates increase monthly payments. Even a 0.5% difference can significantly impact your payment amount.

Q5: Can I calculate payments for adjustable-rate mortgages?
A: This calculator is for fixed-rate loans only. ARM payments will change when the rate adjusts.

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