Auto Loan Calculator
Calculate Auto Loan instantly — see monthly payments, total interest, and full amortization schedule.
Auto Loan Calculator
Calculator
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Formula: M = P × r(1+r)^n / ((1+r)^n - 1) where P = Price + Tax - Down - Trade-In
Worked example — Monthly Payment: $428.57 | Loan Amount: $23,000 | Total Interest: $2,714 | Total Cost (incl. down + trade equity): $32,714
Reviewed for accuracy by Sahil, Senior Finance & Tax Editor · Editorial policy
Auto Loan Calculator Formula
M = P × r(1+r)^n / ((1+r)^n - 1) where P = Price + Tax - Down - Trade-In
The loan principal is the vehicle price plus tax, minus your down payment and trade-in value. The standard amortization formula then calculates equal monthly payments.
Auto Loan Calculator — Worked Examples
Example 1: $30,000 car, $2,000 down, $5,000 trade-in, 4.5% APR, 60 months
Problem:Vehicle price: $30,000 | Down payment: $2,000 | Trade-in value: $5,000 | Net principal: $30,000 − $2,000 − $5,000 = $23,000 | Rate: 4.5% APR | Term: 60 months
Solution:Monthly rate r = 4.5% / 12 = 0.375%. n = 60. M = $23,000 × 0.00375 × (1.00375)^60 / ((1.00375)^60 − 1) = $23,000 × 0.00375 × 1.2512 / 0.2512
Result:Monthly Payment: $428.57 | Loan Amount: $23,000 | Total Interest: $2,714 | Total Cost (incl. down + trade equity): $32,714
Auto Loan Calculator — Frequently Asked Questions
How does a trade-in affect my auto loan?
Your trade-in value is subtracted from the purchase price before financing, directly reducing the principal you borrow. For example, a $5,000 trade-in on a $30,000 vehicle means you only finance $25,000 (minus any down payment). This lowers both your monthly payment and total interest paid. Always get an independent appraisal from services like CarMax or KBB before visiting a dealer to ensure you receive fair trade-in value.
Should I finance or lease a car?
Financing builds equity — at the end of the loan you own the vehicle outright. Leasing offers lower monthly payments and lets you drive a new car every 2-3 years, but you pay for depreciation without building ownership. Financing is generally better if you drive more than 12,000-15,000 miles per year, plan to keep the car long-term, or want to customize the vehicle. Leasing suits those who prioritize low payments and always want a current model.
What is auto loan pre-approval and why does it matter?
Pre-approval is a conditional loan offer from a bank or credit union based on a hard credit pull. It tells you your maximum loan amount, interest rate, and term before you shop. Pre-approval gives you negotiating leverage at the dealership — you already have a rate to beat — and prevents dealers from inflating the rate. Apply to 2-3 lenders within a 14-day window, as multiple hard inquiries for the same loan type within that window count as just one inquiry on your credit report.
How does the loan amount change when sales tax is included?
Most states charge sales tax on the vehicle purchase price (typically 4-10%). Rolling this tax into the loan means you pay interest on it for the full loan term. On a $30,000 vehicle with 8% sales tax ($2,400), financing that tax at 5% over 60 months adds roughly $31 in extra monthly interest payments. Paying the tax upfront — if cash allows — reduces your financed principal and saves money over the loan's life.
Auto Loan Calculator — Background & Theory
History of the Auto Loan Calculator
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