Sum of the Years' Digits Method Calculator

Enter cost, salvage, and useful life. Review annual write offs, book values, and depreciation schedules. Export clean results and visualize trends with interactive charts.

Calculator Inputs
Optional label for the depreciation schedule.
Enter the original purchase cost of the asset.
Expected value at the end of useful life.
Whole number of years used for depreciation.
Shows the selected year result in the summary cards.
Used for calendar year labels in the schedule.
Examples: $, €, £, Rs.
Controls display precision for all outputs.
Example Data Table
Asset Cost Salvage Value Useful Life Target Year SYD Year 2 Depreciation Accumulated Through Year 2 Ending Book Value After Year 2
$12,000.00 $2,000.00 5 years 2 15 $2,666.67 $6,000.00 $6,000.00

This example uses a depreciable base of $10,000. The year two fraction is 4/15, so year two depreciation equals $10,000 × 4/15.

Formula Used
1) Depreciable Base
Depreciable Base = Asset Cost − Salvage Value
2) Sum of the Years Digits
SYD = n(n + 1) / 2
3) Annual Depreciation
Depreciation in Year k = (Remaining Life at Start of Year k / SYD) × Depreciable Base
4) Book Value
Ending Book Value = Asset Cost − Accumulated Depreciation

The method gives a larger depreciation expense in earlier years and smaller expense in later years. That makes it a common accelerated depreciation approach.

How to Use This Calculator
  1. Enter the asset name if you want a labeled schedule.
  2. Provide the original asset cost.
  3. Enter the salvage value expected at the end of the asset life.
  4. Set the useful life in whole years.
  5. Choose the target year you want highlighted in the result summary.
  6. Enter the start year for cleaner schedule labels.
  7. Set a currency symbol and decimal precision.
  8. Press Calculate Now to show the result below the header and above the form.
  9. Use the CSV and PDF buttons to export the schedule.
  10. Review the Plotly chart to compare depreciation trends over time.
FAQs

1) What is the sum of the years digits method?

It is an accelerated depreciation method. Higher expense is recorded in early years and lower expense is recorded later. The method uses a fraction based on the asset’s remaining life and the sum of all life-year digits.

2) How do you calculate the sum of the years digits?

Use the formula n(n + 1) / 2, where n is the useful life in years. For a five-year asset, the sum is 5 × 6 / 2 = 15.

3) Why does depreciation decrease every year?

Each year uses a smaller remaining-life numerator. Because the denominator stays fixed, the annual fraction declines. That reduces yearly depreciation while accumulated depreciation keeps rising.

4) Can salvage value be zero?

Yes. When salvage value is zero, the full asset cost becomes the depreciable base. The schedule still follows the same SYD fractions across the useful life.

5) What happens if salvage value equals asset cost?

The depreciable base becomes zero. In that case, yearly depreciation is zero for every year, and the book value stays equal to the original cost throughout the schedule.

6) Which year has the highest depreciation?

Year one has the highest depreciation because it uses the largest remaining-life numerator. Every later year uses a smaller numerator, so the expense becomes lower over time.

7) Is this the same as straight-line depreciation?

No. Straight-line depreciation spreads the depreciable base evenly across all years. The sum of the years digits method front-loads the expense, so early-year depreciation is higher.

8) Can I export the depreciation schedule?

Yes. This page includes CSV and PDF export buttons. After calculating, you can download a clean summary and the full annual depreciation schedule for reporting or review.

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