Finance

Sum-of-the-Years’-Digits Depreciation Calculator

Find an accelerated depreciation schedule using the sum-of-the-years'-digits method.


Sum-of-the-Years’-Digits Depreciation Calculator

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SYD front-loads depreciation expense into the earliest years of an asset’s life, using a declining fraction that shrinks a little more each year.

How it works

Adding up all the digits from 1 to the useful life gives the sum-of-the-years’-digits; each year’s depreciation is that year’s remaining life divided by the SYD, applied to the full depreciable base (cost minus salvage value).

What this does not include

This does not include the double-declining-balance method, a different accelerated approach this site also offers, which applies a constant rate to a shrinking book value instead of SYD’s declining fraction applied to a fixed base.

How to use this calculator

  1. Enter cost, salvage value, useful life, and the year you want to calculate.

Frequently asked questions

Why would a business choose an accelerated method over straight-line?

To match higher depreciation expense with an asset’s typically higher productivity and usage in its early years, and to defer more tax liability into later years when the asset may be less useful.

Does SYD ever produce the same result as straight-line?

Only in a one-year useful life case — for any longer useful life, SYD’s front-loaded schedule differs from straight-line’s equal annual amounts throughout.

Is SYD commonly used for tax purposes today?

Less common than it once was — MACRS is the standard tax depreciation system in the U.S. today, though SYD remains a recognized method for book (financial statement) depreciation.

Important: This is general information, not financial advice. Figures are estimates, and your lender or provider decides the real numbers. Check with a qualified adviser before acting on them.

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Written by

M. Whitfield

Personal finance writer

M. Whitfield writes the personal finance calculators, covering loans, mortgages, savings, tax and investment maths. The focus is on showing exactly which number goes into a formula and which assumptions a result depends on, so readers can tell when a figure applies to their situation and when it does not. Every finance page states what it does not account for as plainly as what it does.

Reviewed by

A. Whitfield-Reyes

Calculator reviewer — finance

A. Whitfield-Reyes reviews the finance calculators, checking compounding conventions, rate-period alignment, and whether each page is explicit about the costs and tax treatment it leaves out. Financial results are easy to state with false precision, so review focuses on whether the page makes its assumptions visible to a reader who is not looking for them.

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