AutoMath
The Car Itself

New vs Used Car Calculator

Compare the true multi-year cost of buying new versus a comparable used car — purchase price minus projected resale, plus maintenance and insurance — and see exactly what the "new" premium costs per year.

Your numbersSaved on this device only
New car
Used car
Buying used saves

$10,451

over 6 years — $1,742/yr

Used is the cheaper hold
Over 6 years the used car costs $10,451 less — about $1,742 per year you'd pay extra for new. The used car already absorbed the steepest depreciation.
New$39,376
Used$28,925

Total cost over the hold = depreciation + maintenance + insurance.

New total cost
$39,376depr + maint + insurance
Used total cost
$28,925depr + maint + insurance
New depreciation
$25,576value lost over the hold
Used depreciation
$13,925value lost over the hold
New cost / year
$6,563
Used cost / year
$4,821

What this computes

"Buy used, it's cheaper" is a slogan, not a calculation. The real answer depends on three things at once: how much the new car loses to depreciation, how much less the used car costs up front, and how much more the older car costs to keep running. This tool nets all three against each other over the years you actually plan to own the car.

For each option it projects resale value, computes the depreciation you absorb over the hold, adds maintenance and insurance, and reports a single total cost — plus the "new premium": the extra dollars per year buying new really costs you, after the slower-felt used depreciation is accounted for.

The math

Resale value uses a declining-balance curve, and depreciation is the value you lose over the hold:

resale value = price × (1 − rate)^years
depreciation = price − resale value

Each option's total cost over the hold is then:

total = depreciation + (maintenance/yr × years) + (insurance/yr × years)
cost per year = total ÷ years

The decision comes from the difference newTotal − usedTotal: positive means new costs more (used wins). Dividing that gap by the years gives the new premium per year — the cleanest single number for the question "what does insisting on new cost me annually?"

A worked example

New car $38,000 depreciating 17%/yr; comparable 3-year-old used $26,000 depreciating 12%/yr; held 6 years. New: $600/yr maintenance, $1,700/yr insurance. Used: $1,100/yr maintenance, $1,400/yr insurance.

  • New resale ≈ 38,000 × 0.83⁶ ≈ $13,200, so depreciation ≈ $24,800.
  • Used resale ≈ 26,000 × 0.88⁶ ≈ $11,600, so depreciation ≈ $14,400.
  • New total ≈ 24,800 + 3,600 + 10,200 ≈ $38,600.
  • Used total ≈ 14,400 + 6,600 + 8,400 ≈ $29,400.

Used wins by roughly $9,000 over six years — about $1,500/yr — even though the used car costs more to maintain. Depreciation, not the repair bill, is the swing factor.

You pay for the word "new" once, almost entirely in year one — and it's usually the most expensive word in the transaction.

The depreciation cliff

A car doesn't lose value linearly. It falls off a cliff in year one — typically 15-25% — then declines more gently. That first-year drop isn't extra wear; it's the loss of new-car pricing power, and it lands the instant the car is titled regardless of mileage.

This is the entire case for buying used. A 2-3 year-old car has already shed the cliff, so its depreciation curve over your ownership period is dramatically flatter. You buy the same usable car and let the first owner pay the most expensive years. The higher maintenance and slightly different insurance of an older car rarely erase that head start — which is why used wins in most realistic scenarios, and why it's worth checking the cases where it doesn't.

How to use this

  1. Set the years you'll actually keep it. The shorter the hold, the more the year-one cliff dominates and the more used wins. Very long holds (10+ years) narrow the gap.
  2. Calibrate the depreciation rates to your model. Look up real used prices for your car at 1, 3, and 5 years. Strong-resale trucks and brands hold value (lower rate); many luxury sedans and some EVs drop faster (higher rate).
  3. Be honest about maintenance. Out-of-warranty cars cost more to keep running. Put a realistic number on the used car or you'll overstate its advantage.
  4. Watch the new premium per year. That's the price of insisting on new. If it's small, new's warranty and zero-hassle years may be worth it. If it's large, the used discount is doing real work.

What this calculator doesn't model

  • Financing. Used-car APRs typically run 1-3 points above new, and a subsidized 0% new-car offer can flip the math. Compare the loans separately with the Auto Loan calculator and add interest to the picture.
  • Repair risk and reliability spread. The used maintenance figure is an average; a specific older car can be far better or worse. A CPO warranty narrows that risk — model it with a higher price but lower maintenance.
  • Mileage and condition. Resale here is time-based; a high-mileage car depreciates faster than the curve shows.
  • Fuel and the rest of ownership. This isolates the new-vs-used decision. For the full picture across fuel, registration, and financing, use the True Cost of Ownership calculator.

Frequently asked questions

Is a 3-year-old car the sweet spot for buying used? +
For most mainstream cars, yes. A car loses 15-25% of its value in the first year and roughly 50-60% over the first three — so a 3-year-old car has already absorbed the steepest part of the curve while still having most of its usable life and often some warranty left. The first owner ate the cliff; you get the gentler later years. Lightly-used 2-4 year-old cars are typically the best dollar-per-remaining-mile value.
Why does a new car depreciate fastest? +
The first-year drop isn't really about wear — it's the loss of 'new car' pricing power. A car stops being new the moment it's titled, and new-car buyers won't pay used prices for it. That status loss is concentrated almost entirely in year one, independent of mileage or condition. A barely-driven one-year-old car has still taken the full hit, which is exactly why buying past the cliff is the highest-leverage move in car economics.
Don't used cars cost more to maintain? +
Usually, yes — and this calculator accounts for it. An older, out-of-warranty car typically needs more repairs and maintenance per year than a new one still under bumper-to-bumper coverage. That higher running cost offsets some of the depreciation savings. Whether used still wins depends on how much cheaper the used car is and how much more it costs to keep running. The calculator nets the two against each other so you see the real answer, not the slogan.
When does buying new actually make sense? +
New can win when: the used premium is small (the used car is barely cheaper, common in tight used markets or for high-demand models), you keep cars a very long time (10+ years, so the year-one cliff amortizes over many years), you value warranty and zero early-repair risk, or a manufacturer offers a subsidized 0% APR or large rebate that narrows the gap. Run your own numbers — if the calculator says new is cheaper, that's the market telling you the used discount isn't big enough.
Is certified pre-owned (CPO) a middle ground? +
Yes. CPO cars cost more than a private-party used car of the same age but come with a manufacturer-backed extended warranty and an inspection, which lowers the repair-risk and maintenance cost that normally counts against used. Model a CPO car by using its higher purchase price but a lower maintenance figure (closer to the new-car number for the warranty period). It often lands between new and private-party used on total cost.
Is this financial advice? +
No. AutoMath is an educational tool. Depreciation rates, maintenance, and insurance vary widely by model, region, and condition, and the output depends entirely on the inputs you provide. Calibrate the rates with real used-price data for your specific vehicle before deciding.

Related calculators

  • Car Depreciation — the value curve year by year that drives this whole decision.
  • True Cost of Ownership — the full picture: fuel, insurance, depreciation, financing.
  • Auto Loan — used APRs run higher; see what financing each option costs.
  • Car Affordability — what price, new or used, your income can actually carry.

AutoMath is an educational tool. The numbers above depend entirely on assumptions you provide and are not financial advice.