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Home Mortgage Rate Calculator Formula

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 the periodic payment amount.

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 calculates the fixed payment that will pay off the loan with interest by the end of the term, with each payment covering both principal and 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 loan terms.

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. The calculator will show your estimated monthly payment, total payment over the loan term, 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 my payment?
A: A larger down payment reduces the principal amount, resulting in lower monthly payments and less total interest.

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 interest over time.

Q4: How do points affect my rate?
A: Points (prepaid interest) can lower your rate but increase upfront costs. Each point typically costs 1% of the loan amount and lowers the rate by ~0.25%.

Q5: Can I pay extra to pay off my loan early?
A: Yes, extra payments directly reduce principal, saving interest and potentially shortening the loan term.

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