Quick guide
How to use this calculator
- Gather Asset cost, Residual value, Useful life (whole years), and Depreciation year for the same business scenario before calculating.
- Use the same valuation date, currency, useful-life convention, and cash-flow basis for every compared asset or project.
- Apply the displayed sum-of-the-years’-digits depreciation result to the stated decision only after checking every entered assumption.
Calculation method
Calculation method
Year depreciation = depreciable amount × remaining life at start of year ÷ [life × (life+1) ÷ 2].
The calculation uses these named inputs: Asset cost, Residual value, Useful life (whole years), and Depreciation year. No market rate, benchmark, tax rule, or accounting classification is inserted automatically.
Fixed-decimal arithmetic remains exact through display unless a result is explicitly labelled approximate, such as a square-root inventory quantity.
Assets, depreciation and capital decisions
Where the Sum-of-the-Years’-Digits Depreciation Calculator helps
Calculate depreciation for a selected year using the sum-of-the-years'-digits method.
Use the result to compare entered asset costs, lives, residual values, cash flows, or capacity assumptions—not to select a tax treatment automatically.
- Build an internal capital request
- Compare repair, replacement, or disposal scenarios
- Reconcile an asset schedule from known inputs
Interpretation check
How to audit the result
Recalculate the scenario when any of these inputs changes: Asset cost, Residual value, Useful life (whole years), and Depreciation year.
Keep this formula beside the result: Year depreciation = depreciable amount × remaining life at start of year ÷ [life × (life+1) ÷ 2]. Then compare the output with the source records and the calculator-specific assumption below.
- Confirm that all amounts use one currency and reporting period.
- Check that rates, counts, and quantities describe the same population or transaction set.
- Save the entered assumptions with the decision; the result alone is not reproducible evidence.
Worked example
Worked example
Cost 100,000, residual 10,000, life 5, and year 1 give depreciation of 30,000.00.
Year depreciation = depreciable amount × remaining life at start of year ÷ [life × (life+1) ÷ 2].
Supported inputs
Precision and limits
Visible input limits
Fixed decimals accept up to 30 digits and 12 decimal places and are capped at an absolute value of 1e12 per input. Rates are capped at 1000%; percentage shares and method-specific domains may be narrower.
International scope
No currency, tax jurisdiction, accounting framework, payroll rule, marketplace fee schedule, financing term, or industry benchmark is selected automatically.
Decision boundary
Use the result to compare entered asset costs, lives, residual values, cash flows, or capacity assumptions—not to select a tax treatment automatically. Results remain arithmetic scenarios, not accounting records, forecasts, valuations, legal interpretations, professional advice, or recommendations.
Calculator-specific assumptions
This is a scenario from visitor-entered values. Keep currencies, periods, accounting classifications, and operating definitions consistent. It is not accounting, tax, legal, investment, or business advice.