What is an Auto Loan Calculator?
An auto loan calculator is a dedicated vehicle financing tool that allows car buyers to estimate their monthly car payment, total financing charges, and amortization timeline. Whether you are purchasing a brand-new vehicle from a dealership or acquiring a certified pre-owned car, financing terms have a dramatic impact on your long-term wealth.
The Auto Loan Calculation Formula
$$\text{Monthly Payment } (M) = P \times \frac{r(1+r)^n}{(1+r)^n - 1}$$
Where: * $P$ = Net Loan Amount (Vehicle Price + Sales Tax + Dealer Fees - Down Payment - Trade-in Value) * $r$ = Monthly interest rate (Annual Interest Rate $\div 12$) * $n$ = Loan term in months (e.g., 36, 48, 60, 72)
Worked Numerical Example
- Vehicle Price: $35,000
- Down Payment: $7,000 (20%)
- Trade-in Value: $3,000
- Net Financed Amount ($P$): $25,000
- Interest Rate: 6.0% ($r = 0.06 / 12 = 0.005$)
- Loan Term: 60 Months ($n = 60$)
$$\text{Monthly Payment} = 25,000 \times \frac{0.005(1.005)^{60}}{(1.005)^{60} - 1} = \mathbf{\$483.32 \text{ / month}}$$
Total Interest Paid over 5 years: $3,999.20. Total Cost of Vehicle: $38,999.20.