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Loan Payment Calculator

Loan Payment Formula:

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

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1. What is a Loan Payment Calculator?

Definition: This calculator determines the fixed monthly payment required to repay a loan over a specified term, including interest.

Purpose: It helps borrowers understand their monthly obligations for mortgages, car loans, personal loans, and other installment debt.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula accounts for both principal repayment and interest charges over the loan term.

3. Importance of Loan Payment Calculation

Details: Accurate payment calculations help borrowers budget effectively, compare loan offers, and understand the total cost of borrowing.

4. Using the Calculator

Tips: Enter the loan amount, 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, add about 1/12 of annual property taxes and insurance for a complete payment estimate.

Q2: 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 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 cost comparison.

Q4: Can I calculate payments for weekly or bi-weekly schedules?
A: Yes, adjust the rate (divide annual rate by 52 or 26) and term (multiply years by 52 or 26) accordingly.

Q5: How accurate is this calculator?
A: It provides precise calculations for fixed-rate loans. Variable-rate loans require more complex calculations.

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