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Accounting

Sum-of-years-digits depreciation

Sum-of-years-digits depreciation: Depreciation for year y = (cost−residual) × (life−y+1) / [life(life+1)/2].

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How it works

Depreciation for year y = (cost−residual) × (life−y+1) / [life(life+1)/2].

Input definitions

Asset cost
Enter the value in the labeled unit.
Residual value
Enter the value in the labeled unit.
Useful life in whole years
Enter the value in the labeled unit.
Year number
Enter the value in the labeled unit.

A worked example

Asset cost
12000
Residual value
2000
Useful life in whole years
4
Year number
1
4000.00

Assumptions & limits

Uses the accounting classifications, periods and policies you enter. Illustrative management-accounting model; it is not an audited statement, filing or determination of local accounting or tax compliance.

Sources & review

Maintained by AnsRio. Methods and examples use automated checks; this does not imply independent professional certification.

Method updated 2026-10-18. Content checked against the stated method and examples. Our verification approach.

Common questions

Is this a tax depreciation schedule?

No. It illustrates an accelerated book-depreciation method. Local tax allowances, start dates and half-year conventions are excluded.

How does Sum-of-years-digits depreciation work?

Depreciation for year y = (cost−residual) × (life−y+1) / [life(life+1)/2].

What should I check before using Sum-of-years-digits depreciation?

Uses the accounting classifications, periods and policies you enter. Illustrative management-accounting model; it is not an audited statement, filing or determination of local accounting or tax compliance.

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