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Calculate Loan With Down Payment

Loan Payment Formula:

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

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to pay off a loan with interest over a specified term. It accounts for the principal amount, down payment, interest rate, and loan duration.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula calculates the fixed payment needed to pay off the loan (principal minus down payment) with interest over the specified term.

3. Importance of Loan Payment Calculation

Details: Accurate payment calculation helps borrowers understand their financial commitments, compare loan options, and budget effectively for major purchases like homes or vehicles.

4. Using the Calculator

Tips: Enter the total loan amount, any down payment, 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 the principal and interest payment. Actual housing payments often include additional amounts for taxes and insurance.

Q2: How does a larger down payment affect payments?
A: A larger down payment reduces the loan amount, resulting in lower monthly payments and less total interest paid.

Q3: What's the difference between APR and interest rate?
A: APR includes both interest rate and loan fees, providing a more complete cost picture. This calculator uses the interest rate.

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 this be used for credit card payments?
A: No, credit cards typically use different calculation methods with minimum payments based on balances.

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