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Basic Depreciation Formula: Cost, Residual Value and Life

Calculate straight-line depreciation, track carrying value, check a residual-value floor and distinguish an expense allocation from a resale-price estimate.

Basic Depreciation Formula: Cost, Residual Value and Life

Identify the depreciable amount

The basic straight-line depreciation formula is annual expense=(asset cost−estimated residual value)/useful life in years. Residual value is the amount assumed to remain at the end of the useful life for this calculation; the local tool calls it salvage value. Depreciation allocates a specified cost over an expected period of use. It does not predict the asset's market price each year. Establish the cost, residual estimate and useful life from the relevant accounting policy and records before using the arithmetic.

Calculate a five-year example

Suppose equipment has a recorded cost of 12,000, estimated residual value of 2,000 and useful life of five years. The depreciable amount is 10,000. Dividing by five gives annual straight-line depreciation of 2,000. Enter cost 12000, salvage 2000, life 5 and the straight-line method in the Depreciation Calculator. It returns the 2,000 annual expense, carrying value after one full year of 10,000, and total depreciation over the modeled life of 10,000. The currency is whatever consistent unit is used for both monetary inputs.

Build the carrying-value sequence

With five equal full-year charges and no other changes, the carrying values at successive year ends are 10,000, 8,000, 6,000, 4,000 and 2,000. Accumulated depreciation after three years is 6,000, so carrying value is original cost 12,000 minus accumulated depreciation 6,000. Do not subtract the 2,000 residual again from that carrying value; residual already affected the calculation of annual expense. The fifth year's ending value equals the assumed residual, rather than zero. That reconciliation is a useful check of the formula and the number of periods.

Distinguish an annual charge from a partial-year policy

The example assumes a complete year of use for each annual charge. If an accounting policy explicitly uses monthly proration and the first reporting period includes six months of depreciation, the illustrative first-period amount is 2,000×6/12=1,000. That is an additional timing assumption, not a feature automatically selected by the tool. The calculator has no acquisition date, in-service date or reporting-year field. A half-year convention, daily convention or another prescribed approach can give a different first-period result. Establish the applicable method rather than assuming every purchase receives a full year's expense.

Check the input boundaries

The calculator requires positive cost and useful life, accepts zero residual value and rejects residual value above cost. If cost and residual are both 12,000, the depreciable amount is zero and straight-line annual expense is zero. That is a mathematical boundary, not proof that an accounting estimate is appropriate. A zero useful life would require division by zero and is not accepted. An unknown life should not be replaced with one year merely to obtain an output; the result depends directly on that supplied estimate.

Keep expense, cash and resale value separate

Paying 12,000 for equipment is a cash-flow or financing event at acquisition. The annual depreciation charge is a later cost allocation and does not mean another 2,000 cash payment occurs each year. Likewise, a third-party resale offer of 7,500 after three years would differ from the example's 6,000 carrying value without making the arithmetic inconsistent. Market value and carrying value measure different things. A sale, impairment or change in estimate may require additional accounting treatment that this simple three-input calculation does not determine.

Use the result for the stated accounting model

The tool also offers a double-declining-balance first-year calculation, which allocates expense differently. Selecting a faster method is not automatically allowed for every reporting or tax purpose. Tax depreciation can use prescribed rates, asset classes, dates and rules that differ from a financial-accounting useful-life estimate. Record the method and all three inputs with the result, and compare them with the asset record when updating a schedule. The straight-line formula is a transparent check once the assumptions are established; it does not establish those assumptions on its own.

Use the Depreciation Calculator

Open Depreciation Calculator

Source and scope

OpenStax Financial Accounting: allocating asset cost through depreciation