Depreciação SOYD (ano k)

D_k = (n − k + 1)/(n(n+1)/2) · (V − R).
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

D_k
30.000,00

Formula

SOYD

About this calculator

The Depreciation SOYD (year k) calculator is a useful tool for calculating the depreciated value of an asset at a given period of time. It uses the Depreciation SOYD formula, which takes into account the number of years of useful life of the asset and the amount of money invested.

The SOYD formula is a short form of Sum of the Years' Digits, meaning the Sum of the Digits of the Years. It is a depreciation technique that considers that the value of the asset decreases more rapidly at the beginning of the useful life period and more slowly as time passes.

To use this calculator, you need to enter the original value of the asset (V), the residual value after the useful life period (R) and the number of years of useful life of the asset (n). The result will be the depreciated value of the asset after k years.

It is worth noting that the SOYD formula assumes that the value of the asset decreases linearly over time. However, in practice, the value of the asset may decrease non-linearly due to various reasons, such as inflation or market changes.

Frequently asked questions

What is the SOYD formula?

The SOYD formula is a depreciation technique that considers that the value of the asset decreases more rapidly at the beginning of the useful life period and more slowly as time passes.

When to use the SOYD formula?

Use the SOYD formula when you need to calculate the depreciated value of an asset over a specific period of time, considering the useful life of the asset and the residual value after the period.

What is the residual value (R)?

The residual value (R) is the value of the asset after the useful life period, considering that the asset has not been completely depreciated.

Can I use the SOYD formula for any type of asset?

No, the SOYD formula is more suitable for assets with fixed useful life, such as equipment or vehicles.

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