What is accumulated depreciation?
Accumulated depreciation is the total depreciation expense that has been recognized for a depreciable asset from the time it is placed in service through a selected date. It is a contra-asset balance: it reduces the asset's carrying amount on the balance sheet without changing the original historical cost account.
The key distinction for a finance student is between depreciation expense and accumulated depreciation. Depreciation expense belongs to a particular period. Accumulated depreciation is the running total of those period-by-period charges. The difference between original cost and accumulated depreciation gives the asset's carrying amount, often called its net book value.
How accumulated depreciation is calculated
The calculator supports four common allocation methods. The important question is not which method produces the largest number today; it is when the depreciable base is recognized as expense. Straight-line spreads the base evenly, while accelerated methods recognize more expense earlier. Units of production links depreciation to actual use.
Straight-line
Depreciation is constant when the depreciable base and useful life are fixed.
Declining balance
A fixed rate is applied to the opening book value, so the charge normally declines over time.
Sum-of-years' digits
The remaining-life fraction starts high and decreases each year.
Units of production
Expense follows actual production or usage rather than simply the passage of time.
Accumulated depreciation formulas
Begin with the depreciable base. That is the portion of the asset's historical cost that can be allocated to expense under the selected assumptions.
- C
- original asset cost
- S
- estimated salvage value at the end of useful life
- B
- depreciable base
Straight-line method
- n
- useful life in years
- t
- years elapsed
Accumulated depreciation after t years is the annual charge multiplied by elapsed years, capped at the depreciable base. This is the cleanest method for seeing the distinction between a periodic expense and the cumulative balance.
Declining-balance method
- factor
- acceleration factor; 2 means double-declining balance
- opening book value
- book value at the beginning of the year
Sum-of-years' digits
- remaining life
- useful-life years remaining at the start of the period
- SYD
- sum-of-years'-digits denominator
Units of production
- Units used
- actual production or usage represented by the input
- Total units
- estimated lifetime production or usage
Why the timing changes the picture
Suppose two identical machines have the same cost, salvage value and useful life. If one uses straight-line depreciation and the other uses an accelerated method, their total depreciable base can be identical while their annual expenses and book values differ substantially in the early years.
Worked example: a $25,000 machine
Consider a machine costing $25,000, with a $3,000 salvage value, a 15-year useful life, and three years elapsed. The depreciable base is $22,000.
1. Straight-line
Annual depreciation = $22,000 ÷ 15 = $1,466.67.
Book value = $25,000 − $4,400 = $20,600.
2. Double-declining balance
The first-year rate is 2 ÷ 15 = 13.33%. The first-year expense is approximately $3,333.33, and the second-year expense is based on the reduced opening book value.
3. Sum-of-years' digits
SYD = 15 × 16 ÷ 2 = 120. The first three year fractions are 15/120, 14/120 and 13/120.
How to read accumulated depreciation
Accumulated depreciation appears as a contra-asset account associated with property, plant and equipment. It increases as depreciation expense is recognized. The carrying amount is the original cost less this accumulated balance. That carrying amount is an accounting measurement; it should not automatically be read as the asset's market price.
Vehicles
Fleet vehicles are common depreciable assets because their useful service and carrying amounts change over time.
Machinery
Production equipment can be modeled with time-based methods or units of production when usage is measurable.
Buildings
Buildings generally have long useful lives, making the relationship between cost, salvage and annual expense especially visible.
Technology
Shorter-lived equipment can show a meaningful difference between straight-line and accelerated schedules.
What accumulated depreciation does not tell you
Accumulated depreciation is not the same thing as economic depreciation, replacement cost, fair value or resale value. It is a systematic accounting allocation under stated assumptions. Tax depreciation can also follow a different schedule from book depreciation. When a real financial statement is being analyzed, the accounting policy, useful-life estimates, conventions, impairment rules and applicable reporting framework all matter.
Accumulated depreciation FAQ
Depreciation expense is the charge recognized for a particular period. Accumulated depreciation is the running total of those charges recorded against the asset since it was placed in service.
It is presented with the related asset as a contra-asset account. Its normal balance reduces the carrying amount of the depreciable asset.
Not in the standard model used here. The accumulated amount is capped at the depreciable base, so the book value does not fall below the stated salvage value.
Not necessarily. Book value is an accounting measure. Market value depends on demand, condition, replacement economics, expected cash flows and other factors outside the depreciation schedule.
Because the methods allocate the same depreciable base at different speeds. Accelerated methods generally recognize more expense in earlier periods.