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Loan Payment Calculator

Loan Payment Formula:

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

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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 used for mortgages, car loans, personal loans, and other amortizing loans.

2. How Does the Calculator Work?

The calculator uses the standard 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 interest and principal reduction.

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, and loan term in years. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and insurance?
A: No, this calculates only principal and interest. For mortgages, taxes and insurance would be additional.

Q2: How does extra payment affect the loan?
A: Extra payments reduce principal faster, decreasing total interest paid and potentially shortening the loan term.

Q3: What's the difference between APR and interest rate?
A: APR includes fees and other loan costs, while the interest rate is just the cost of borrowing the principal.

Q4: How does loan term affect payments?
A: Shorter terms mean higher monthly payments but less total interest. Longer terms lower monthly payments but increase total interest.

Q5: Can this formula be used for credit cards?
A: Not directly, as credit cards typically have variable rates and minimum payment formulas based on balance percentage.

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