Details |
Sum-of-Years Digits |
An asset often loses more of its value early in its lifetime. A method that exhibits this dynamic is desirable.
Assume an asset depreciates from price to salvage value in years. First compute the sum-of-years as . The depreciation for the years after the asset’s purchase is:
Year Number |
Annual Depreciation |
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first |
|
second |
|
third |
|
|
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final |
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For the th year of the asset’s use, the annual depreciation is:
For our example, and the sum of years is . The depreciation during the first year is
Table 50.2 describes how Declining Balance would depreciate the asset.
Year |
Depreciation |
Year-End Value |
---|---|---|
1 |
|
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2 |
|
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3 |
|
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4 |
|
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5 |
|
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As expected, the value after years is .
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