Sum-of-Years' Digits Depreciation Calculator
Depreciate an asset with the sum-of-the-years'-digits method, which front-loads depreciation.
First-year depreciation
4,090.91
- Last-year depreciation
- 409.09
- Sum of the years' digits
- 55
Depreciation schedule
| Year | Depreciation | Accumulated | Book value |
|---|---|---|---|
| 1 | 4,090.91 | 4,090.91 | 25,909.09 |
| 2 | 3,681.82 | 7,772.73 | 22,227.27 |
| 3 | 3,272.73 | 11,045.45 | 18,954.55 |
| 4 | 2,863.64 | 13,909.09 | 16,090.91 |
| 5 | 2,454.55 | 16,363.64 | 13,636.36 |
| 6 | 2,045.45 | 18,409.09 | 11,590.91 |
| 7 | 1,636.36 | 20,045.45 | 9,954.55 |
| 8 | 1,227.27 | 21,272.73 | 8,727.27 |
| 9 | 818.18 | 22,090.91 | 7,909.09 |
| 10 | 409.09 | 22,500.00 | 7,500.00 |
Show the work
Sum of the years' digits
life × (life + 1) ÷ 2
10 × (10 + 1) ÷ 2 = 55
First year gets life ÷ sum of the total
(cost − salvage) × life ÷ sum
(30,000.00 − 7,500.00) × 10 ÷ 55 = 4,090.91
Estimates for general information only — not financial advice.
How it works
Year y depreciation = (cost − salvage) × (life − y + 1) ÷ (life × (life + 1) ÷ 2) — same as Excel SYD
Questions
- How does the sum-of-years' digits depreciation calculator work?
- Year y depreciation = (cost − salvage) × (life − y + 1) ÷ (life × (life + 1) ÷ 2) — same as Excel SYD.
- What do I need to enter?
- Asset cost, Salvage value, Useful life. Optional fields can be left blank.
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