MotorMath
Financing & Purchase

20/4/10 Rule Calculator

Calculate the maximum car price you can afford using the 20/4/10 guideline.

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What this tool does

This calculator applies the 20/4/10 rule—a car-buying guideline that suggests a 20% deposit, a loan term of four years or less, and total transport costs not exceeding 10% of gross annual income. Users enter gross annual income, deposit percentage, loan length in years, the target transport percentage of income, and APR; the tool computes the maximum affordable car price by reverse-engineering a loan amortisation formula to fit the monthly budget constraint. The output shows the maximum price, required deposit, amount financed, and monthly budget.

Inputs
(£)
(%)
(yrs)
(%)
(%)
Result
Result

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Formula
Maximum affordable car price
Monthly budget for transport
Gross annual income
Transport budget percentage of income
Monthly interest rate (APR ÷ 100 ÷ 12)
Loan term in months
Deposit as decimal (0 to 0.99)

How the 20/4/10 Rule Calculator works

The 20/4/10 rule is a popular car-buying heuristic: put down at least 20% of the car's price, finance for no more than four years, and keep all vehicle-related expenses—loan payment, insurance, fuel, and maintenance—under 10% of gross annual income. This calculator computes the maximum car price that satisfies a user-defined deposit percentage, loan term, transport budget, and interest rate. It starts with a monthly transport budget (gross income divided by twelve, multiplied by the chosen percentage), then works backward through an amortisation equation to find the largest loan principal that can be repaid within that budget, and finally inflates that principal by the inverse of the deposit percentage to yield the maximum purchase price.

The formula

The monthly budget is B = (gross annual income ÷ 12) × (transport % ÷ 100). The maximum amount that can be financed is calculated from the standard loan amortisation formula rearranged for principal: P = B × [(1 − (1 + r)^(−n)) ÷ r], where r is the monthly interest rate (APR ÷ 100 ÷ 12) and n is the number of monthly payments (loan years × 12). When the APR is zero, the formula simplifies to P = B × n. The maximum car price is then Price = P ÷ (1 − deposit % ÷ 100), and the deposit is Price × (deposit % ÷ 100).

Where this method is most accurate

The calculation is mathematically exact for simple-interest, fully amortising loans with constant monthly payments. It assumes that the entire monthly transport budget can be allocated to the loan payment; in practice, insurance, fuel, servicing, and road tax reduce the amount available for repayment. The rule originated as a budgeting guideline in personal-finance literature and does not account for purchase taxes, registration fees, or variations in running costs across different vehicle types. Users with volatile or seasonal income may find that a percentage of gross annual income does not reflect their actual monthly cash flow.

What this tool does not do

This calculator does not incorporate insurance premiums, fuel costs, maintenance schedules, or jurisdiction-specific taxes and fees. It does not provide affordability advice, loan approval predictions, or vehicle recommendations. The output is a mathematical maximum price under the specified constraints; it does not certify that any particular vehicle is suitable, roadworthy, or insurable. The tool accepts any deposit percentage and loan term within the slider range, even if they fall outside the traditional 20% and four-year guideline.

Disclaimer

This tool is provided for educational and informational purposes only. It performs a mathematical calculation based on user-supplied inputs and does not constitute financial advice, vehicle purchase recommendations, or creditworthiness assessment. Actual loan terms, insurance costs, and total cost of ownership vary by lender, vehicle, and individual circumstances. Users are responsible for verifying all figures and consulting qualified professionals before making any financial or vehicle-purchase decisions.

Questions

What is the 20/4/10 rule for buying a car?
The 20/4/10 rule is a budgeting guideline suggesting a minimum 20% deposit, a maximum loan term of four years, and total vehicle expenses (loan, insurance, fuel, maintenance) kept under 10% of gross annual income. This calculator lets users adjust each parameter to see the resulting maximum car price.
Does the 10% include only the loan payment or all transport costs?
Traditionally the 10% covers all vehicle-related expenses: loan payment, insurance, fuel, servicing, and road tax. This calculator uses the full percentage to compute the loan payment, so users should mentally reserve a portion of that budget for non-loan costs or adjust the percentage downward to leave headroom.
Why does increasing the loan term raise the maximum price?
A longer loan term spreads repayment across more months, reducing the monthly payment for a given principal. Because the calculator fixes a monthly budget, a lower payment per pound borrowed allows a larger total loan—and thus a higher car price—within the same monthly constraint.
Can I use this calculator with a deposit lower than 20%?
Yes. The deposit slider ranges from 0% to 90%, and the calculator will compute the maximum price for any value. A lower deposit increases the financed amount, which may exceed what lenders approve or result in higher interest rates; the tool performs only the mathematical calculation.
Does this calculation include VAT, registration fees, or insurance?
No. The output is the purchase price that fits the specified deposit, loan term, APR, and monthly budget. It does not add purchase taxes, registration, delivery charges, or ongoing costs such as insurance and maintenance. Those must be budgeted separately or subtracted from the monthly percentage before using the tool.

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Sources & Methodology

The calculator derives the maximum financed amount by inverting the standard loan amortisation formula P = B × [(1 − (1 + r)^(−n)) / r], where B is the monthly budget, r is the monthly interest rate, and n is the number of payments. The maximum car price is then P divided by (1 − deposit percentage). When APR is zero, the formula simplifies to P = B × n. This approach is consistent with personal-finance literature on the 20/4/10 rule.

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