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Calculate Car Loan Repayments

Car Loan Payment Formula:

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

USD
%
months

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1. What is the Car Loan Payment Formula?

The car loan payment formula calculates the fixed monthly payment required to repay a car loan 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:

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

Where:

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

3. Importance of Loan Payment Calculation

Details: Understanding your monthly payment helps with budgeting and ensures the loan terms are affordable before committing to a 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. Additional costs like taxes, registration, or insurance are not included.

Q2: How does a larger down payment affect payments?
A: A larger down payment reduces the PV (loan amount), which directly lowers your monthly payment.

Q3: What's better - shorter term with higher payments or longer term with lower payments?
A: Shorter terms mean less total interest paid but higher monthly payments. Longer terms reduce monthly payments but increase total interest costs.

Q4: How accurate is this calculator?
A: This provides the exact mathematical calculation, but actual lender offers may vary slightly due to rounding or specific lender policies.

Q5: Can I use this for other types of loans?
A: Yes, this formula works for any fixed-rate installment loan (mortgages, personal loans, etc.), though terms may differ.

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