MotorMath
Financing & Purchase

Car Loan Total Cost

Calculate total repayment: principal + interest + fees over the loan term.

Last updated:

What this tool does

This calculator computes the total cost of a car loan by summing the principal, total interest paid over the term, and any upfront fees. It uses standard amortisation mathematics: the monthly payment is calculated via the loan payment formula M = P × [r(1+r)^n] / [(1+r)^n - 1], where P is principal, r is the monthly interest rate (APR/12/100), and n is the term in months. Inputs are loan amount, APR (%), term (months), and fees; the output is total cost in the selected currency.

Inputs
(£)
(%)
(months)
(£)
Result
Result

How Car Loan Total Cost works

This tool calculates the total amount repaid over the life of a car loan. It combines three components: the principal borrowed, the total interest accrued under the loan's APR, and any upfront fees charged by the lender. The calculator uses the standard amortisation formula to determine the monthly payment, then multiplies that payment by the number of months and adds fees to arrive at the total cost.

The formula

Monthly payment M = P × [r(1+r)n] / [(1+r)n - 1], where P is the principal, r is the monthly interest rate (APR ÷ 12 ÷ 100), and n is the term in months. Total interest = (M × n) - P. Total cost = P + total interest + fees. For a 20,000 loan at 8.5% APR over 60 months with no fees, the monthly payment is approximately 410.33, total interest is 4,620, and total cost is 24,620.

Where this method is most accurate

The calculation assumes fixed-rate loans with equal monthly payments and no prepayment. It does not account for variable-rate products, payment holidays, or early settlement adjustments. APR must be the nominal annual rate; effective APR that includes fees may differ. The formula is standard for simple amortising loans but does not model balloon payments or deferred-interest products.

What this tool does not do

This calculator does not include vehicle purchase taxes, registration fees, insurance, maintenance, or fuel costs. It computes only the loan obligation itself. The tool does not factor in jurisdiction-specific regulations, lender-specific terms, or ancillary products such as payment protection insurance. It does not provide credit advice or assess affordability.

Disclaimer

This calculator is an educational tool that performs mathematical computations based on user-supplied inputs. It does not constitute financial advice, loan approval, or a guarantee of lender terms. Actual loan costs may vary based on lender policies, creditworthiness, and contract-specific clauses. For binding loan terms, consult the lender's official documentation.

Questions

What is included in the total cost of a car loan?
The total cost includes the principal amount borrowed, the total interest paid over the loan term, and any upfront fees charged by the lender. It does not include taxes, insurance, registration, or other vehicle ownership costs.
How does APR affect the total cost?
A higher APR increases the monthly interest charge, which compounds over the loan term. Doubling the APR can increase total interest by more than double on longer-term loans due to the compounding effect over time.
Why does loan term matter for total cost?
Longer loan terms reduce the monthly payment but increase the total interest paid. A 72-month loan at the same APR will cost significantly more in total than a 36-month loan, even though monthly payments are lower.
Are loan fees always included in APR?
Not all fees are reflected in the stated APR. Some lenders quote a nominal APR that excludes arrangement fees, documentation fees, or broker commissions. This calculator allows separate entry of fees to capture the true total cost.
Does this calculator work for hire purchase or lease-to-own agreements?
The calculator uses standard amortisation mathematics suitable for simple fixed-rate loans. Hire purchase agreements with equal payments can be approximated, but contracts with balloon payments or guaranteed future value structures require different formulas not implemented here.

Sources & Methodology

The calculator applies the standard loan amortisation formula: monthly payment M = P × [r(1+r)^n] / [(1+r)^n - 1], where P is principal, r is monthly interest rate (APR/12/100), and n is term in months. Total interest = M × n - P. Total cost = principal + interest + fees. Methodology follows standard financial mathematics as documented in loan amortisation texts.