This new-car payment calculator estimates your monthly payment and total interest from the amount financed, APR, and loan term. Enter the figures from a lender’s quote to see the payment implied by a fixed-rate loan; the example defaults are for illustration, not a current rate offer.
Formula
The calculator uses the standard fixed-payment loan formula. The monthly payment is the principal multiplied by the monthly interest rate, divided by one minus the discount factor:
Payment = P × r ÷ [1 − (1 + r)−n]
- P is the amount financed, in dollars. It is the loan balance, not necessarily the car’s advertised price.
- r is the monthly interest rate as a decimal: APR ÷ 1200. For example, an 8% APR gives r = 0.08 ÷ 12.
- n is the number of monthly payments: loan term in years × 12.
Total interest is calculated as the rounded monthly payment multiplied by the number of payments, minus the original principal: Total interest = monthly payment × n − P. The payment is rounded to cents before the total is calculated, so the displayed total follows the calculator’s payment convention. Actual lender schedules can differ slightly because of payment dates, daily interest, rounding, or fees.
Worked Example
Using the defaults—$20,000 financed, 8% APR, and a five-year term—the number of payments is 5 × 12 = 60. The monthly rate is 0.08 ÷ 12 = 0.0066667.
Substitute those values into the payment formula:
Payment = 20,000 × 0.0066667 ÷ [1 − (1 + 0.0066667)−60] = $405.53 per month
Then use the displayed, cent-rounded payment to find total interest:
Total interest = $405.53 × 60 − $20,000 = $4,331.80
The total of the 60 scheduled payments is $24,331.80, of which $20,000 repays principal and $4,331.80 is interest under this estimate.
Assumptions
- The APR and payment amount stay fixed throughout the loan.
- Payments are made monthly, with the first payment one month after borrowing.
- Interest accrues monthly using APR divided by 12.
- The estimate excludes taxes, title and registration charges, dealer or lender fees, insurance, optional products, and any down payment or trade-in unless those amounts are reflected in the loan amount entered.
What Sets a New-Car APR?
There is no single interest rate that applies to every new-car buyer. A quoted APR is an input to the calculation, and the actual figure comes from the lender’s offer and disclosures. It can depend on the applicant, vehicle, loan structure, and the terms available at the time of the application. This calculator does not predict an offer or estimate what a particular person will qualify for.
APR expresses borrowing cost as an annual percentage, but the payment formula converts it to a monthly rate. A lender may also disclose fees or other amounts that affect the overall cost. Compare written offers using the same amount financed and term, and check whether any quoted rate assumes conditions that apply to the particular transaction.
How the Car Price Becomes the Loan Amount
The vehicle’s price and the principal used in the formula are not always the same. A down payment or trade-in value may reduce the amount borrowed; taxes, registration, dealer charges, or optional add-ons may increase it if they are financed. An existing loan balance carried into a new contract can also change the amount financed. Use the principal shown in the lender’s itemization, rather than relying only on the vehicle’s sticker price.
For example, a $30,000 vehicle with $5,000 paid up front does not automatically mean the loan is exactly $25,000: taxes, fees, trade-in details, and other financed amounts may alter the final balance. Enter the amount actually financed to get a useful payment estimate.
How Term and APR Change the Payment
For a fixed loan amount, APR, and term, the payment is set by the formula. A higher APR increases the interest portion and generally raises both the scheduled payment and total interest. A longer term usually lowers the monthly payment because repayment is spread across more months, but it can increase total interest and keep a balance outstanding for longer.
That trade-off is easy to miss when comparing offers by monthly payment alone. Compare the amount financed, APR, term, total scheduled payments, and any separate charges. A lower payment does not by itself mean a lower overall borrowing cost; it may simply reflect a longer repayment period.
Common Calculation Differences
- Using the wrong principal: Enter the financed balance, not the vehicle price before down payment, trade-in, taxes, and financed charges are accounted for.
- Mixing rate units: Enter APR as a percentage, such as 8 for 8%, not as a decimal such as 0.08. The calculator converts it to a monthly rate.
- Assuming every payment is identical to the estimate: Payment timing, daily interest calculations, and rounding can make a lender’s schedule differ by small amounts.
- Ignoring costs outside the loan: Insurance, fuel, maintenance, and other ownership expenses are not included in principal, payment, or interest here.
The calculator is a simplified amortization estimate for a fixed rate and regular monthly payments. It does not model a variable rate, skipped or extra payments, late charges, a changing balance from fees, or an early payoff. For those details, use the lender’s payment schedule and disclosures.
Frequently Asked Questions
What is the interest rate on a new car loan?
There is no universal rate. The APR depends on the specific offer and borrower and vehicle details. Check a current written quote from the lender; this calculator lets you enter that APR without assuming what rate is available.
How do I calculate a new-car monthly payment?
Use the amount financed, monthly rate (APR divided by 12), and number of monthly payments in the fixed-payment formula shown above. The calculator performs that calculation and rounds the monthly result to cents.
Does a longer car loan lower the monthly payment?
For the same principal and APR, extending the term generally lowers each scheduled payment by spreading repayment over more months. It can also increase total interest, so review both figures rather than the monthly amount alone.
Is APR the same as the interest rate?
APR is an annualized rate used to describe borrowing cost, while the calculator converts the entered APR to a monthly rate for its payment formula. Fees and the precise disclosures may affect how an offer’s cost is presented, so check the lender’s documents.
Why is my lender’s payment different from this estimate?
The principal, term, rate, payment date, rounding method, or financed charges may differ from your inputs. A lender may also calculate interest using its own schedule. Use the contract and payment schedule for exact figures.
This result is an estimate for education, and 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 | $ | p * (apr / 1200) / (1 - (1 + apr / 1200) ^ -(yrs * 12)) | 2 out int | Total interest | $ | pmt * yrs * 12 - p | 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.
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