Formula library

Declining Balance Depreciation

\[D=r*BV\]

Variables

Ddepreciation expense for the period (currency)
rdepreciation rate (decimal)
BVbook value at beginning of period (currency)

Description

What is this formula?


The Declining Balance Depreciation formula calculates depreciation as a fixed percentage of the asset's book value at the beginning of each period. Because the book value decreases over time, the depreciation expense also declines each year.


When to use it


Use this method when an asset is expected to lose value more rapidly during its early years of service. It is commonly used for equipment, vehicles, computers, and technology assets that experience accelerated obsolescence.


Example


A machine has a beginning book value of $40,000.


Data:


Book Value = $40,000


Depreciation Rate = 20% = 0.20


Formula:


D=r*BV


Substitution:


D=0.20*40,000


D=8,000


Result:


Depreciation expense for the year = $8,000


Applications


Accelerated depreciation accounting


Asset management


Equipment valuation


Financial reporting


Capital investment analysis


Note


This method is an accounting model rather than a physical law. The depreciation rate is selected according to accounting policies, regulations, or management assumptions. Different jurisdictions may prescribe different rates or calculation procedures, and alternative accelerated depreciation methods are widely used.

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