This calculator estimates a fixed-rate car loan’s monthly payment, total interest, and total paid when you make the scheduled payment only; it does not model extra payments. Enter the amount financed, APR, and term to see an estimate based on equal monthly payments.
Formula
The calculator uses the standard fixed-payment amortization formula. It finds a monthly payment that covers interest and repays the principal over the selected number of months:
Payment = round[P × r ÷ (1 − (1 + r)−n), 2]
- P is the loan amount in dollars.
- r is the monthly interest rate, calculated as APR ÷ 1,200. APR is entered as a yearly percentage.
- n is the number of monthly payments, calculated as years × 12.
- Payment is the monthly amount in dollars, rounded to the nearest cent.
Total paid is the rounded monthly payment multiplied by the number of payments. Estimated total interest is total paid minus the amount borrowed. Because the payment is rounded to cents before totals are calculated, these results follow the calculator’s stated convention.
Worked Example
Using the calculator’s default values—$20,000 borrowed, 8% APR, and a five-year term:
- Convert the APR to a monthly rate: 8 ÷ 1,200 = 0.0066667.
- Convert the term to payments: 5 × 12 = 60 months.
- Apply the payment formula: $20,000 × 0.0066667 ÷ [1 − (1.0066667)−60] = $405.53 per month, rounded to cents.
- Calculate total paid using the rounded payment: $405.53 × 60 = $24,331.80.
- Subtract the principal: $24,331.80 − $20,000 = $4,331.80 estimated interest.
Assumptions
- The interest rate remains fixed for the full term.
- Payments are equal monthly payments made at the end of each monthly period.
- Interest is compounded monthly using APR divided by 12.
- Fees, taxes, insurance, add-ons, and other charges are not included unless they are part of the entered loan amount.
- Extra payments, payment-date changes, and lender-specific allocation rules are not modelled.
How Extra Car Payments Affect a Loan
An extra payment can reduce the principal balance sooner, which can reduce future interest and shorten the time until payoff. The effect depends on how the lender applies the extra amount. For an amortizing loan, the scheduled payment first covers accrued interest; the remainder reduces principal. An extra amount applied directly to principal reduces the balance on which later interest is calculated.
This calculator deliberately shows the baseline schedule, not an extra-payment payoff schedule. To estimate the impact of additional payments accurately, a calculator needs at least the extra amount and its frequency, plus a clear assumption about when it is paid and how it is applied. The lender’s actual payment posting and interest calculation can differ from a simplified monthly model.
For example, on the default loan, paying an additional $100 each month would make the payment outlay $505.53 in a month where the extra amount is made. That arithmetic alone does not establish the exact payoff date or interest savings. Those depend on the remaining balance, timing, and whether the lender applies the full extra amount to principal. Do not subtract the extra payment from the loan balance without accounting for interest accrued first.
How to Use the Estimate
- Enter the amount actually financed, rather than assuming it is the vehicle’s advertised price. A trade-in, down payment, taxes, fees, or other items may change the amount on the contract.
- Enter the APR and term shown in the lender’s loan disclosure. The APR is a yearly percentage; do not enter a monthly rate in its place.
- Read monthly payment as the modelled scheduled payment, not necessarily the full monthly cost of owning a car.
- Compare total interest and total paid only when the loan amount and assumptions are consistent. A longer term changes the payment count and may change total interest.
If you are exploring extra payments, ask the lender how to designate an additional amount as principal-only, whether any restrictions or charges apply, and how the payment affects the next due date. Get the loan’s current payoff balance and payment history if you need a calculation for an existing loan; the original amount and term are not enough to determine its current balance.
Limits and Common Mistakes
The formula is for a conventional fixed-rate loan with level monthly payments. It does not model variable rates, irregular payment dates, deferred payments, balloon payments, late charges, or changes to the contract. A lender may calculate interest using daily accrual or other contract-specific methods, so its exact figures can differ.
A frequent mistake is treating APR as the monthly rate. The formula converts APR to a monthly decimal by dividing the percentage by 1,200: for 8%, that is 0.0066667 per month. Another is using the vehicle price instead of the amount financed. Finally, totals can differ by a few cents from a lender’s schedule because of rounding or payment adjustments; use the lender’s disclosure and account information for exact amounts.
Frequently Asked Questions
Does paying extra on a car loan reduce interest?
It can, when the extra amount reduces principal earlier than scheduled. The exact reduction depends on the balance, timing, interest calculation, and payment-allocation terms.
Should I pay extra on my car loan?
This calculator cannot make that decision. Review the contract, how extra payments are applied, and your full financial circumstances; the result here is loan arithmetic, not personal financial advice.
Can I make a principal-only payment?
Payment instructions and procedures vary by lender. Confirm how to submit an extra amount and verify that it was applied to principal rather than treated as an advance against a future scheduled payment.
Does an extra payment automatically lower my next monthly bill?
Not necessarily. An extra principal payment may shorten the payoff period while the scheduled payment remains unchanged. Confirm how your lender handles it.
Why does my lender’s total differ from this estimate?
The model assumes fixed monthly compounding, equal payments, and cent-rounded payments. Contract terms, daily interest accrual, payment dates, fees, and rounding can produce different figures.
This result is an estimate; the lender’s disclosure gives the exact figures.
Related
Formula used
in p | Loan amount | $ | 20000 | 1 | 100000000 in apr | Interest rate (APR) | % | 8 | 0.01 | 100 in yrs | Loan term | years | 5 | 0.0833 | 50 out pmt | Monthly payment | $ | round(p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)), 2) | 2 out int | Total interest | $ | pmt * yrs * 12 - p | 2 out tot | Total paid | $ | pmt * yrs * 12 | 2
Each line is one input (in, sel, list) or one result (out: label, unit, formula, decimals). How the calculators work
Method: the standard loan formula for this calculation, fixed rate and monthly compounding unless stated, rounded as each result states. Not financial advice; no lender, rate or product is recommended. See formulas and assumptions, the disclaimer or report an error.
More in this section
- Compound Interest House Loan Calculator$405.53
- Compound Interest Formula: Calculate Growth Over Time$1,647.01
- Compound Interest Formula With e: Continuous Growth$16,487.21
- Compound Interest Formula: Solve for r2.4114 %
- Compound Interest Checking Balance Calculator$1,105.08
- Compound Interest Formula for Loan Repayment$405.53