Auto Loan Calculator
Calculate your monthly car payment, total interest, and view a full repayment schedule. Includes sales tax and trade-in value.
This calculator computes Monthly Payment for a car loan built from six inputs: Vehicle Price, Down Payment, Trade-In Value, Sales Tax Rate, Interest Rate, and Loan Term. Trade-In Value works two ways in the Loan Amount formula (lines 11-13): it first reduces the taxable amount that Sales Tax is computed on, then it is subtracted a second time directly from Loan Amount alongside Down Payment — mirroring how many states actually apply a trade-in tax credit. Sales Tax itself is a straightforward product of Vehicle Price (net of trade-in) and Sales Tax Rate, so testing either one 10% low and then 10% high produces an identical 20% total swing in Sales Tax; neither one is the "bigger" driver. At the calculator's own default of $0 Trade-In Value, Vehicle Price dominates Monthly Payment: running it 10% below its default and 10% above it swings Monthly Payment by about 23%, ahead of Loan Term (about 17%) and Interest Rate (about 3% at the default 6.5% rate). That ranking isn't permanent, though — Trade-In Value carries the identical ±1.07 coefficient on Loan Amount that Vehicle Price does (lines 11-13), so it only looks negligible because its default is $0; enter a large trade-in (the field allows up to $200,000) and Trade-In Value's own dollar swing outweighs Vehicle Price's, because the comparison is decided by which input carries the bigger dollar value, not by any inherent "bigger driver" status. Total Interest is led by Vehicle Price too (about 23%) at that same $0 trade-in default, but Interest Rate (about 21%) and Loan Term (about 21%) trail it closely and are essentially tied with each other, since raising either one stretches the same amortization calculation that produces Monthly Payment. Down Payment reduces both Monthly Payment and Total Interest, with a swing of about 3% of each across the same low-to-high test, a smaller effect than Vehicle Price — but not because of any difference in "compounding": both Down Payment and Vehicle Price move Loan Amount along an identical linear path (lines 11-13), with no compounding for either. The gap is scale. Vehicle Price's effect on Loan Amount carries a multiplier of about 1.07 (it also feeds Sales Tax), Down Payment's is exactly -1, and at the defaults Vehicle Price ($35,000) is seven times Down Payment ($5,000) — so a matched ±10% move is a much bigger dollar swing for Vehicle Price. This calculator does not account for dealer fees, registration costs, GAP insurance, or extended warranty add-ons that commonly get rolled into a real auto loan.
Financial Disclaimer
This calculator is for educational purposes only and does not constitute financial advice. Results are estimates based on the inputs provided. Consult a qualified financial advisor before making investment or financial planning decisions.
Inputs
Upfront payment amount.
Annual interest rate as a percentage.
Length of the loan in the specified time unit.
Summary
Monthly Payment
$634.92
≈ 7 nice dinners out
Amortising loan payment
- 1.Convert the annual rate to a monthly rate
Payments are monthly, so every term in the formula has to be expressed per month.
- 2.Count the payments
The number of monthly payments over the whole term.
- 3.Solve for the level payment
This comes from setting the present value of all n equal payments equal to the amount borrowed, then solving for the payment. The (1+i)ⁿ − 1 in the denominator is the sum of a geometric series — the same series that drains a pension or decays a drug in plasma, which is why one formula family serves calculators across several hubs.
Simon Stevin published the first printed interest tables, including the present value of an annuity — the relationship this payment formula inverts. Until then such tables were guarded as trade secrets by lenders.
Total Cost Breakdown
Repayment Schedule
60 rows| Month | Payment | Principal | Interest | Balance |
|---|---|---|---|---|
| 1 | $634.92 | $459.15 | $175.77 | $31,990.85 |
| 2 | $634.92 | $461.64 | $173.28 | $31,529.21 |
| 3 | $634.92 | $464.14 | $170.78 | $31,065.07 |
| 4 | $634.92 | $466.65 | $168.27 | $30,598.42 |
| 5 | $634.92 | $469.18 | $165.74 | $30,129.24 |
| 6 | $634.92 | $471.72 | $163.20 | $29,657.52 |
| 7 | $634.92 | $474.28 | $160.64 | $29,183.24 |
| 8 | $634.92 | $476.85 | $158.08 | $28,706.40 |
| 9 | $634.92 | $479.43 | $155.49 | $28,226.97 |
| 10 | $634.92 | $482.03 | $152.90 | $27,744.94 |
| 11 | $634.92 | $484.64 | $150.29 | $27,260.31 |
| 12 | $634.92 | $487.26 | $147.66 | $26,773.05 |
How to Use This Calculator
- Enter the vehicle price and your down payment amount.
- Add any trade-in value to reduce the loan amount.
- Set the interest rate and loan term — typical auto loans range from 36 to 72 months.
- Enter your local sales tax rate to include it in the total cost.
- Review the monthly payment, total amount paid, and total interest to compare different loan scenarios.
How the result changes with Vehicle Price
| Vehicle Price | Monthly Payment |
|---|---|
| $19,000.00 | $299.95 |
| $41,500.00 | $771.00 |
| $68,500.00 | $1,336.27 |
| $91,000.00 | $1,807.33 |
What each input means
- Down Payment
- Upfront payment amount.
- Trade-In Value
- Value of your current vehicle as a trade-in.
- Interest Rate
- Annual interest rate as a percentage.
- Loan Term
- Length of the loan in the specified time unit.
How this is calculated
Worked example, using the default values
- Identify Input Parameters4 parametersVehicle Price = 35000, Down Payment = 5000, Trade-In Value = 0, Interest Rate = 6.5 = 6 input(s) provided
- Calculate Monthly PaymentMonthly Payment634.92 = $634.92
- Calculate Loan AmountLoan Amount32450 = $32,450
- Calculate Total of All PaymentsTotal of All Payments38095.29 = $38,095.29
Engine last updated .
Frequently Asked Questions
How does trading in a vehicle affect the loan amount?
Trade-In Value is subtracted twice: first it lowers the taxable amount that Sales Tax is calculated on (line 11), then it is subtracted a second time, directly, when Loan Amount is assembled (line 13) alongside Down Payment. This mirrors how many states apply a trade-in tax credit in real dealership financing, rather than treating the trade-in as a single flat discount.
Does the vehicle price or the tax rate matter more for the sales tax amount?
Neither — it's an exact tie. Sales Tax is simply the taxable vehicle price multiplied by the tax rate (lines 11-12), a plain product of the two, so testing either Vehicle Price or Sales Tax Rate 10% low and 10% high produces exactly the same 20% total swing in Sales Tax. Down Payment, Interest Rate, and Loan Term have no effect on Sales Tax at all — but Trade-In Value does: it reduces the taxable amount that Sales Tax is computed on (line 11), so a larger trade-in lowers Sales Tax. It only looks inert because its default value is $0, and a proportional move on a literal zero is still zero — enter a real trade-in amount and the effect shows up immediately.
What input drives the monthly payment and total interest the most?
Vehicle Price, by a real margin — but only at the calculator's own $0 Trade-In Value default. Running Vehicle Price 10% under its default and then 10% over it swings Monthly Payment by about 23%, versus roughly 17% for Loan Term and only about 3% for Interest Rate at the default 6.5% rate, and Total Interest is also led by Vehicle Price (about 23%) there, though Interest Rate and Loan Term trail closely behind it and are essentially tied with each other, both around 21%. Trade-In Value carries the same per-dollar effect on Loan Amount that Vehicle Price does (lines 11-13) and only looks smaller because it defaults to $0 — enter a large trade-in and it becomes the bigger driver instead, since both inputs move Loan Amount by an identical coefficient and the comparison comes down to dollar magnitude.
Does a bigger down payment noticeably lower the monthly payment?
Yes, but modestly — a ±10% span on Down Payment lowers both Monthly Payment and Total Interest by about 3% at the calculator's defaults. That's smaller than Vehicle Price's roughly 23% effect, not because of any difference in how the two compound — both move Loan Amount along the same linear formula (lines 11-13) — but because of scale: Vehicle Price affects Loan Amount with a multiplier of about 1.07 versus Down Payment's exactly -1, and at the defaults Vehicle Price ($35,000) is seven times Down Payment ($5,000), so a matched ±10% move is a much bigger dollar swing.
Shares mathematics with
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