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Auto Loan Balance Calculator

Reviewed by Calculator Editorial Team

Use this auto loan balance calculator to estimate your remaining loan balance at any point during your loan term. Simply enter your loan amount, interest rate, loan term, and current payment number to get an accurate calculation.

How to Use This Calculator

To use the auto loan balance calculator:

  1. Enter your original loan amount in the "Loan Amount" field.
  2. Input your annual interest rate in the "Interest Rate" field.
  3. Specify the total loan term in years in the "Loan Term" field.
  4. Enter the number of payments you've already made in the "Current Payment Number" field.
  5. Click the "Calculate" button to see your remaining loan balance.

The calculator will display your remaining balance and show a chart of your loan amortization schedule.

Note: This calculator assumes monthly payments and a fixed interest rate. It does not account for prepayment penalties or changes in interest rates.

Formula Used

The remaining loan balance is calculated using the following formula:

Remaining Balance = P * (1 + r/n)^(nt) - [PMT * (((1 + r/n)^(nt) - 1) / (r/n)) * (1 + r/n)^(n*(t - (k/n)))]

Where:

  • P = Original loan amount
  • r = Annual interest rate (in decimal)
  • n = Number of payments per year (12 for monthly)
  • t = Total loan term in years
  • k = Current payment number
  • PMT = Monthly payment amount

The monthly payment amount (PMT) is calculated using:

PMT = P * (r/n) / (1 - (1 + r/n)^(-nt))

Worked Example

Let's calculate the remaining balance for a $20,000 loan with a 4.5% annual interest rate, 5-year term, and after 36 payments.

  1. Original loan amount (P) = $20,000
  2. Annual interest rate (r) = 4.5% or 0.045
  3. Payments per year (n) = 12
  4. Loan term (t) = 5 years
  5. Current payment number (k) = 36

First, calculate the monthly payment (PMT):

PMT = 20000 * (0.045/12) / (1 - (1 + 0.045/12)^(-12*5)) PMT ≈ $362.49

Now calculate the remaining balance:

Remaining Balance = 20000 * (1 + 0.045/12)^(12*5) - [362.49 * (((1 + 0.045/12)^(12*5) - 1) / (0.045/12)) * (1 + 0.045/12)^(12*(5 - (36/12)))] Remaining Balance ≈ $12,845.32

After 36 monthly payments on a $20,000 loan, the remaining balance would be approximately $12,845.32.

Frequently Asked Questions

How accurate is this auto loan balance calculator?
The calculator provides an estimate based on standard amortization formulas. For precise figures, consult your lender or loan documents.
Does this calculator account for extra payments?
No, this calculator assumes regular monthly payments. For extra payment scenarios, you would need to adjust the calculations manually.
Can I use this for car loans or other types of auto loans?
Yes, this calculator works for any type of auto loan with fixed monthly payments and a fixed interest rate.
What if my loan has a different payment frequency?
The calculator assumes monthly payments. For different frequencies, you would need to adjust the formulas accordingly.
Is the interest rate compounded monthly or annually?
The calculator assumes monthly compounding, which is standard for most auto loans.