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Car Auto Loan Calculator With Tax

Car Loan Payment Formula:

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

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1. What is the Car Loan Payment Formula?

The car loan payment formula calculates the fixed monthly payment required to pay off a car loan over a specified term, including principal, interest, sales tax, and down payment.

2. How Does the Calculator Work?

The calculator uses the standard loan payment formula:

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

Where:

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

3. Importance of Accurate Loan Calculation

Details: Understanding your exact monthly payment helps with budgeting and ensures you don't overextend yourself financially when purchasing a vehicle.

4. Using the Calculator

Tips: Enter the vehicle price as principal, add sales tax separately, include any down payment, input the annual interest rate as a decimal (e.g., 0.05 for 5%), and specify loan term in months.

5. Frequently Asked Questions (FAQ)

Q1: Should I include the full vehicle price or just the loan amount?
A: Include the full vehicle price as principal and any additional taxes separately. The down payment will be subtracted.

Q2: How does sales tax affect my payment?
A: Sales tax increases the total amount financed, which increases your monthly payment unless you pay it upfront.

Q3: What's a good down payment percentage?
A: Typically 10-20% of the vehicle price is recommended to avoid being upside-down on your loan.

Q4: How does loan term affect my payment?
A: Longer terms reduce monthly payments but increase total interest paid. Shorter terms mean higher payments but less interest overall.

Q5: Should I include registration fees in this calculation?
A: Registration fees are typically paid separately and not financed, so they shouldn't be included here.

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