Accumulated Depreciation Calculator
Calculate accumulated depreciation and book value for any asset using the straight-line or declining balance method. Instant results with a full formula breakdown.
Accumulated Depreciation = [(Cost − Salvage Value) ÷ Useful Life] × Years ElapsedAdjust Variables
Interactive Step-by-Step Calculation Proofs
View how variables resolve algebraically down to peer-reviewed standard outputs.
Why Use This Calculator
Accumulated depreciation is the total amount of an asset's cost that has been expensed since it was placed in service — it's a contra-asset account, meaning it carries a credit balance and reduces the asset's value on the balance sheet rather than standing alone as an asset itself. Subtracting accumulated depreciation from the asset's original cost gives its book value (also called net book value or carrying value). There are two common ways to calculate it: the straight-line method, which expenses an equal amount every year over the asset's useful life — Annual Depreciation = (Cost − Salvage Value) ÷ Useful Life — and the declining balance method (most commonly double-declining balance), which front-loads larger depreciation expenses in the early years by applying a fixed rate to the asset's remaining book value each year. Straight-line is simpler and more common for financial reporting; declining balance is often used for tax purposes because it accelerates deductions. This calculator computes accumulated depreciation, book value, and the annual (or current-year) depreciation expense under either method — use the proportion calculator if you need to further allocate a depreciation expense across multiple cost centers or departments.
Mathematical Formula Explanation
Calculated standard benchmarks are based on direct functional dependencies. The primary calculation logic follows this formula:
Accumulated Depreciation = Annual Depreciation × Years ElapsedStraight-Line Method spreads the depreciable base evenly across the asset's useful life, so each year's depreciation is identical. Declining Balance Method instead applies a fixed rate to whatever book value remains at the start of each year — a fundamentally different calculation that front-loads larger depreciation amounts in early years and shrinks over time, rather than the flat annual figure straight-line produces. The two modes aren't the same formula in different forms; they're genuinely different accounting methods with different year-by-year results for the same asset.
Worked Examples (Step-by-Step)
These examples show accumulated depreciation for the same asset calculated two ways — straight-line and double-declining balance — to illustrate how differently the two methods distribute the same total depreciable cost.
Example 1: Straight-Line Depreciation on Equipment
“A company buys equipment for $50,000 with an estimated salvage value of $5,000 and a 10-year useful life. How much accumulated depreciation has built up after 4 years?”
- ASSETCOST: 50,000
- SALVAGEVALUE: 5,000
- USEFULLIFE: 10
- YEARSELAPSED: 4
- ANNUALDEPRECIATION: 4,500
- ACCUMULATEDDEPRECIATION: 18,000
- BOOKVALUE: 32,000
Example 2: Double-Declining Balance on the Same Equipment
“The same $50,000 asset (10-year life, no salvage value) is instead depreciated using the double-declining balance method. What is the accumulated depreciation after 3 years?”
- ASSETCOSTDB: 50,000
- SALVAGEVALUEDB: 0
- USEFULLIFEDB: 10
- YEARSELAPSEDDB: 3
- RATEMULTIPLIER: 2
- ACCUMULATEDDEPRECIATIONDB: 24,400
- BOOKVALUEDB: 25,600
- CURRENTYEARDEPRECIATION: 6,400