This calculator estimates the monthly principal-and-interest payment for a fixed-rate car loan. Enter the amount borrowed, annual percentage rate (APR), and term in years; it returns the monthly payment and total interest over the full term.
Formula
The calculator uses the standard fixed-payment loan formula. It first finds the payment that amortizes the borrowed principal over the stated number of monthly payments, then calculates total interest using that rounded payment.
- Monthly payment: M = round[P × r ÷ (1 − (1 + r)−n), 2]
- Total interest: I = M × n − P
- Monthly rate: r = APR ÷ 1,200
- Number of payments: n = years × 12
P is the loan amount in dollars, APR is the annual percentage rate entered as a percent, r is the monthly rate as a decimal, n is the number of monthly payments, M is the payment in dollars, and I is total interest in dollars. The formula assumes an unchanged rate and equal monthly payments. The payment is rounded to cents before total interest is calculated.
Worked Example
Using the calculator’s default inputs—$20,000 borrowed, 8% APR, and a five-year term:
- Convert APR to a monthly decimal rate: r = 8 ÷ 1,200 = 0.0066667.
- Convert the term to payments: n = 5 × 12 = 60.
- Substitute into the payment formula: M = round[20,000 × 0.0066667 ÷ (1 − (1.0066667)−60), 2] = $405.53 per month.
- Calculate interest using the rounded monthly payment: I = $405.53 × 60 − $20,000 = $4,331.80.
The figures are estimates based on the inputs, and the displayed total uses the rounded payment, as the calculator specifies.
Assumptions
- The interest rate remains fixed for the entire loan.
- Payments are equal, made monthly, and applied at regular intervals.
- Interest is modelled monthly at APR divided by 12.
- The calculation excludes taxes, insurance, registration, add-ons, fees, and any down payment or trade-in unless those amounts are already reflected in the loan amount.
What Determines a Car Payment?
A car payment is mainly determined by the amount financed, APR, and repayment term. A larger amount borrowed raises the payment; a higher APR generally raises both the payment and the total interest; and spreading repayment over more months usually lowers the scheduled monthly payment while increasing the time interest can accrue.
The amount financed is not necessarily the vehicle’s advertised price. It can reflect a down payment or trade-in that reduces the amount borrowed, as well as taxes, fees, or optional products that are included in the loan. To estimate a real offer, use the amount and APR shown in the lender’s disclosures, along with the actual term. Do not treat a sale price by itself as the loan principal.
Payment Versus the Full Cost of Owning a Car
The calculator measures loan principal and interest only. It does not estimate the complete monthly cost of having a vehicle. A household budget may also need to account for insurance, fuel or charging, maintenance, repairs, parking, registration, and other costs. These are separate from the loan payment and vary with the vehicle and circumstances.
For example, a $405.53 calculated payment is not a prediction that the vehicle will cost $405.53 per month in total. It is the scheduled loan payment under the example assumptions. Compare that figure with the other expected expenses separately, rather than adding them to the loan principal unless they are actually financed.
How to Use the Estimate
- Enter the amount you expect to borrow, not just the vehicle’s sticker price.
- Use the APR and term offered for the specific loan; the default values are examples, not a statement about available rates.
- Read the monthly payment as the estimated regular principal-and-interest installment.
- Read total interest as the modeled cost of borrowing over all scheduled payments, using the rounded payment.
- Check the lender’s payment schedule for the actual due dates, first-payment timing, fees, and any different rounding method.
Changing one input at a time can clarify how the arithmetic responds. For instance, comparing two terms while holding the borrowed amount and APR constant shows the payment-versus-total-interest tradeoff in this formula. It does not establish which term or loan is appropriate for a particular person.
Common Questions About Car Loan Payments
Does a car payment include insurance?
No. This estimate includes loan principal and interest only. Insurance is a separate expense unless it is specifically incorporated into a financing arrangement, which this calculator does not model.
Why is my lender’s payment different?
The lender may use a different principal, APR, term, first-payment date, fee treatment, or rounding convention. Review the loan disclosure and compare the exact inputs and payment schedule.
Does a longer car loan reduce total interest?
Not necessarily. For the same principal and APR, a longer term generally lowers each scheduled payment but increases the number of payments, so total interest is generally higher.
Is APR the same as the monthly interest rate?
No. APR is entered as an annual percentage. This estimate converts it to a monthly rate by dividing by 12 and then by 100, so 8% becomes about 0.006667 per month.
Can I use this for a variable-rate loan?
This formula assumes a fixed APR. If a loan’s rate changes, the payment or interest calculation may change too; this estimate does not model future rate adjustments.
Does the result include a down payment?
Only indirectly. Enter the amount actually financed after any down payment or trade-in has been applied. A down payment is not a separate calculator input.
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
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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