Auto Loan Formula
The auto loan formula helps you precisely calculate your fixed monthly payment, ensuring you understand the true cost of financing a vehicle. It's an essential tool for budgeting and making informed car-buying decisions.
Formula
Copy the exact expression or work through it step by step below.
Monthly Payment = Loan Amount x [Monthly Rate x (1 + Monthly Rate) ^ Total Payments] / [(1 + Monthly Rate) ^ Total Payments - 1] Variables
MP
Monthly Payment
The recurring amount that changes the auto loan result over time.
LA
Loan Amount
The loan amount value plugged into the auto loan calculation.
MR
Monthly Rate
The monthly rate assumption used in the auto loan calculation.
TP
Total Payments
The recurring amount that changes the auto loan result over time.
Step By Step
- 1
Set the baseline case with the real calculator inputs.
Vehicle Price = $35,000, Down Payment = $5,000, Trade In Value = $3,000, Sales Tax Percent = 6.25%
- 2
Translate rates, periods, and cash values onto the same footing before combining them.
Keep the auto loan assumptions consistent instead of mixing monthly and annual views.
- 3
Apply the formula and read the first calculator outputs, not just the headline assumption.
The calculator lands with loan amount at $29,000 and monthly payment at $573.
- 4
Run one changed scenario so the formula is stress-tested before it is trusted.
The auto loan calculator page is the fastest way to compare that second case.
Worked Example
Auto Loan sample case
Vehicle Price
$35,000
Down Payment
$5,000
Trade In Value
$3,000
Sales Tax Percent
6.25%
Monthly Payment = Loan Amount x [Monthly Rate x (1 + Monthly Rate) ^ Total Payments] / [(1 + Monthly Rate) ^ Total Payments - 1] using vehicle price $35,000, down payment $5,000, trade in value $3,000, sales tax percent 6.25%.
The calculator lands with loan amount at $29,000 and monthly payment at $573.
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Sources & References
- Auto Loan Calculator — Bankrate
- Understanding How Auto Loans Work — Consumer Financial Protection Bureau (CFPB)
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