An Illustration of Diminishing Balance Depreciation
Assume the cost of computer equipment was $11,000, the estimated residual value is $1,000, and the estimated useful life is five years. Under the diminishing or declining balance method, the first step is to determine the straight-line rate, the rate at which the asset would be depreciated under the straight-line method. This rate is measured as 100 percent divided by the useful life or 20 percent for a five-year useful life. Under the straight-line method, 1/5 or 20 percent of the depreciable cost of the asset (here, $11,000 – $1,000 = $10,000) would be expensed each year for five years: The depreciation expense would be $2,000 per year.
The next step is to determine an acceleration factor that approximates the pattern of the asset’s wear. Common acceleration factors are 150 percent and 200 percent. The latter is known as double declining balance depreciation because it depreciates the asset at double the straight-line rate. Using the 200 percent acceleration factor, the diminishing balance rate would be 40 percent (20 percent × 2.0). This rate is then applied to the remaining undepreciated balance of the asset each period (known as the net book value).
At the beginning of the first year, the net book value is $11,000. Depreciation expense for the first full year of use of the asset would be 40 percent of $11,000, or $4,400. Under this method, the residual value, if any, is generally not used in the computation of the depreciation each period (the 40 percent is applied to $11,000 rather than to $11,000 minus residual value). However, the company will stop taking depreciation when the salvage value is reached.
At the beginning of Year 2, the net book value is measured as
Asset cost | $11,000 | |
Less: Accumulated depreciation | (4,400) | |
Net book value | $ 6,600 | |
For the second full year, depreciation expense would be $6,600 × 40 percent, or $2,640. At the end of the second year (i.e., beginning of the third year), a total of $7,040 ($4,400 + $2,640) of depreciation would have been recorded. So, the remaining net book value at the beginning of the third year would be
Asset cost | $11,000 | |
Less: Accumulated depreciation | (7,040) | |
Net book value | $ 3,960 | |
For the third full year, depreciation would be $3,960 × 40 percent, or $1,584. At the end of the third year, a total of $8,624 ($4,400 + $2,640 + $1,584) of depreciation would have been recorded. So, the remaining net book value at the beginning of the fourth year would be
Asset cost | $11,000 | |
Less: Accumulated depreciation | (8,624) | |
Net book value | $ 2,376 | |
For the fourth full year, depreciation would be $2,376 × 40 percent, or $950. At the end of the fourth year, a total of $9,574 ($4,400 + $2,640 + $1,584 + $950) of depreciation would have been recorded. So, the remaining net book value at the beginning of the fifth year would be
Asset cost | $11,000 | |
Less: Accumulated depreciation | (9,574) | |
Net book value | $ 1,426 | |
For the fifth year, if deprecation were determined as in previous years, it would amount to $570 ($1,426 × 40 percent). Ho
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