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Loan Calculator With Down Payment

Loan Payment Formula:

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

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1. What is the Loan Payment Formula?

The loan payment formula calculates the fixed monthly payment required to repay a loan with interest over a specified period, accounting for any down payment made upfront.

2. How Does the Calculator Work?

The calculator uses the loan payment formula:

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

Where:

Explanation: The formula accounts for the time value of money, calculating equal payments that cover both principal and interest over the loan term.

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting, comparing loan offers, and determining affordability before committing to a loan.

4. Using the Calculator

Tips: Enter the total loan amount, down payment, interest rate (as a decimal), and loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Should I enter annual or monthly interest rate?
A: Enter the periodic rate. For monthly payments, divide the annual rate by 12 (e.g., 6% annual = 0.005 monthly).

Q2: How does down payment affect the payment?
A: A larger down payment reduces the principal amount financed, resulting in lower monthly payments.

Q3: What's included in the monthly payment?
A: This calculates principal and interest only. Taxes, insurance, and fees would be additional.

Q4: How accurate is this calculator?
A: It provides the exact mathematical calculation for fixed-rate loans. Actual lender payments may vary slightly due to rounding.

Q5: Can I use this for different payment frequencies?
A: Adjust the rate and term to match your payment frequency (e.g., for weekly payments, use weekly rate and number of weeks).

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