Cal11 calculator

Auto Loan Calculator with Additional Payments

Reviewed by Calculator Editorial Team

This auto loan calculator helps you determine how additional payments affect your loan term and total interest paid. By making extra payments, you can pay off your loan faster and save on interest costs.

How to Use This Calculator

To use this auto loan calculator with additional payments, follow these steps:

  1. Enter your loan amount in the "Loan Amount" field.
  2. Input your annual interest rate in the "Interest Rate" field.
  3. Specify the loan term in years in the "Loan Term" field.
  4. Enter the amount of your regular monthly payment in the "Regular Monthly Payment" field.
  5. Input the amount of your additional monthly payment in the "Additional Monthly Payment" field.
  6. Click the "Calculate" button to see your results.

The calculator will display your new loan term, total interest paid, and the amount saved by making additional payments.

Formula Explained

The calculator uses the following formula to determine the new loan term and total interest paid when making additional payments:

Formula

Let:

  • P = Loan amount
  • r = Monthly interest rate (annual rate divided by 12)
  • n = Original loan term in months
  • M = Regular monthly payment
  • A = Additional monthly payment

The new loan term (in months) is calculated by:

New Term = log(1 - (P * r) / (M + A)) / log(1 + r)

Total interest paid = (M + A) * New Term - P

This formula accounts for the additional payments by increasing the monthly payment amount and recalculating the loan term.

Worked Example

Let's look at an example to see how additional payments affect your loan:

Input Value
Loan Amount $25,000
Interest Rate 5%
Loan Term 5 years
Regular Monthly Payment $432.88
Additional Monthly Payment $100

With these inputs, the calculator shows:

  • New loan term: 4 years and 4 months
  • Total interest paid: $1,250 (compared to $2,500 without additional payments)
  • Amount saved: $1,250

This example demonstrates how making additional payments can significantly reduce your loan term and interest costs.

Benefits of Additional Payments

Making additional payments on your auto loan offers several advantages:

  • Reduce loan term: Additional payments pay down the principal faster, shortening the loan term.
  • Lower interest costs: Paying off more principal means you pay less in interest over the life of the loan.
  • Build equity: Additional payments increase your equity in the vehicle, which can be useful if you want to refinance or sell.
  • Improve credit score: Making payments on time demonstrates responsible financial behavior, which can help improve your credit score.

Tip

Consider making bi-weekly payments instead of monthly payments to pay down your loan faster. Bi-weekly payments are typically 2-3% more than monthly payments and can save you money over time.

Frequently Asked Questions

Can I make additional payments at any time?

Yes, you can make additional payments at any time. However, the impact on your loan term and interest costs will depend on when you make the payments and how much you pay.

Will making additional payments affect my credit score?

Making additional payments can actually help improve your credit score by demonstrating responsible financial behavior. However, if you make payments that are too large or too frequent, it could potentially have a negative impact.

Can I make additional payments in a lump sum?

Yes, you can make a lump sum payment towards your auto loan. This can significantly reduce your loan balance and interest costs. However, check with your lender to see if there are any fees associated with lump sum payments.