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House Loan Estimate Calculator

Loan Payment Formula:

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

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years

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to fully repay a loan over its term, including both principal and interest. It's commonly used for mortgages, car loans, and other installment loans.

2. How Does the Calculator Work?

The calculator uses the loan payment formula:

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

Where:

Explanation: The formula accounts for compound interest over the life of the loan, ensuring each payment covers both principal and interest portions.

3. Importance of Loan Payment Calculation

Details: Accurate payment calculation helps borrowers understand their financial commitments, compare loan offers, and budget effectively for major purchases.

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. A complete mortgage payment may include taxes, insurance, and PMI.

Q2: How does loan term affect payments?
A: Shorter terms mean higher monthly payments but less total interest paid. Longer terms reduce monthly payments but increase total interest.

Q3: What's the difference between APR and interest rate?
A: The interest rate is the base cost of borrowing, while APR includes fees and other loan costs for a more complete comparison.

Q4: Can I calculate payments for extra payments?
A: This calculator shows standard fixed payments. Extra payments would require a more complex amortization calculation.

Q5: How accurate is this calculator?
A: It provides accurate estimates for fixed-rate loans. Actual payments may vary slightly due to rounding or specific lender policies.

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