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Calculate Loan Payment with Interest

Loan Payment Formula:

\[ Payment = \frac{Principal \times Rate \times (1+Rate)^n}{(1+Rate)^n - 1} \]

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1. What is Loan Payment Calculation?

The loan payment calculation determines the fixed monthly payment required to fully repay a loan, including principal and interest, over a specified term. This is commonly used for mortgages, car loans, and personal loans.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

\[ Payment = \frac{Principal \times Rate \times (1+Rate)^n}{(1+Rate)^n - 1} \]

Where:

Explanation: The formula accounts for compound interest over the life of the loan, calculating a fixed payment that pays off both principal and interest by the end of the term.

3. Importance of Accurate Payment Calculation

Details: Knowing your exact monthly payment helps with budgeting and financial planning. It allows you to compare different loan offers and understand the total cost of borrowing.

4. Using the Calculator

Tips: Enter the principal amount in dollars, monthly interest rate as a percentage (annual rate divided by 12), and loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: How do I convert annual rate to monthly rate?
A: Divide the annual percentage rate (APR) by 12. For example, 6% APR becomes 0.5% monthly (6 ÷ 12 = 0.5).

Q2: Does this include taxes and insurance?
A: No, this calculates only principal and interest. For complete payment estimates (like PITI for mortgages), add taxes and insurance separately.

Q3: What's the difference between interest rate and APR?
A: APR includes both interest rate and loan fees, giving a more complete picture of borrowing costs.

Q4: How does loan term affect payments?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms have higher payments but lower total cost.

Q5: Can I use this for credit card payments?
A: This formula works best for fixed-rate installment loans. Credit cards typically use different calculation methods.

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