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Car Payment Calculator With Interest

Car Payment Formula:

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

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1. What is the Car Payment Formula?

The car payment formula calculates the fixed monthly payment required to repay a car loan, including interest, over a specified term. It accounts for the principal amount, interest rate, and loan duration.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

Explanation: The formula calculates the fixed payment needed to fully amortize the loan over its term, accounting for compound interest.

3. Importance of Loan Payment Calculation

Details: Accurate payment calculation helps borrowers understand their financial commitment, compare loan offers, and budget effectively for their vehicle purchase.

4. Using the Calculator

Tips: Enter the total loan amount (after any down payment), the annual interest rate (APR), and the loan term in months. All values must be positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Does this include taxes and fees?
A: No, this calculates only the principal and interest portion. Taxes, registration, and other fees would be additional.

Q2: What's a typical car loan term?
A: Common terms are 36-72 months, though some loans extend to 84 or 96 months for lower payments (but higher total interest).

Q3: How does interest rate affect payments?
A: Higher rates increase both monthly payments and total interest paid. A 1% rate difference can significantly impact long-term costs.

Q4: Should I make a down payment?
A: Down payments reduce the loan amount (PV), resulting in lower payments and less total interest paid.

Q5: Are there prepayment penalties?
A: Some loans charge fees for early payoff. Check your loan terms if you plan to pay extra or pay off early.

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