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Monthly Loan Payment Formula

Loan Payment Equation:

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

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%
years

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1. What is the Monthly Loan Payment Formula?

The monthly loan payment formula calculates the fixed payment amount 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 equation:

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

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: Understanding your monthly payment helps with budgeting, comparing loan offers, and determining how much you can afford to borrow.

4. Using the Calculator

Tips: Enter the loan amount in USD, annual interest rate as a percentage (e.g., 5.25), 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, you'll need to add property taxes, insurance, and possibly PMI separately.

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: APR includes fees and other loan costs, while interest rate is just the cost of borrowing the principal.

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

Q5: How accurate is this calculator?
A: It provides exact results for fixed-rate loans. For adjustable-rate loans, it only calculates payments for the initial fixed period.

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