 # Depreciation Expense

Used to match expense of PP&E with its revenue generation

## What is Depreciation Expense?

When a long-term asset is purchased, it should be capitalized instead of being expensed in the accounting period it is purchased in. Assuming the asset will be economically useful and generate returns beyond that initial accounting period, expensing it immediately would overstate the expense in that period and understate it in all future periods. To avoid doing so, depreciation is used to better match the expense of a long-term asset to periods it offers benefits or to the revenue it generates.

There are different methods used to calculate depreciation, and the type is generally selected to match the nature of the equipment. For example, vehicles are assets that depreciate much faster in the first few years; therefore, an accelerated depreciation method is often chosen.

### Example of Depreciated Asset ### What are the Depreciation Expense Methods?

There are three common methods of calculating depreciation for a company:

1. Straight-line depreciation
2. Declining balance (accelerated depreciation)
3. Units-of-production

#### 1. Straight-line depreciation

The straight-line depreciation method is the most widely used and is also the easiest to calculate. The method takes an equal depreciation expense each year over the useful life of the asset.

Periodic Depreciation Expense = (Fair Value – Residual Value) / Useful life of Asset

For example, Company A purchases a building for \$50,000,000, to be used over 25 years, with no residual value. The annual depreciation expense is \$2,000,000, which is found by dividing \$50,000,000 by 25.

#### 2. Declining balance

A declining balance depreciation is used when the asset depreciates faster in earlier years. As the name implies, the depreciation expense declines over time. To do so, the accountant picks a factor higher than one; the factor can be 1.5, 2, or more.

A 2x factor declining balance is known as a double-declining balance depreciation schedule. As it is a popular option with accelerated depreciation schedules, it is often referred to as the “double declining balance” method.

Periodic Depreciation Expense = Beginning Value of Asset * Factor / Useful Life

The depreciation expense amount changes every year because the factor is multiplied with the previous period’s net book value of the asset, decreasing over time due to accumulated depreciation.

For example, Company A owns a vehicle worth \$100,000, with a useful life of 5 years. They want to depreciate with the double-declining balance. In the first year, the depreciation expense is \$40,000 (\$100,000 * 2 / 5). In the next year, the depreciation expense will be \$24,000 ( (\$100,000 – \$40,000) * 2 / 5).

See how the declining balance method is used in our financial modeling course.

#### 3. Units-of-production

Under the units-of-production method, the depreciation expense per unit produced is calculated by dividing the historical value of the asset minus the residual value by its useful life in terms of units (or the total number of products that it is expected to be able to manufacture). The method records a higher expense amount when production is high to match the equipment’s higher usage. It is, obviously, most useful for depreciating production machinery.

Unit Depreciation Expense = (Fair Value – Residual Value) / Useful Life in Units

Periodic Depreciation Expense = Unit Depreciation Expense * Units Produced

For example, Company A has a machine worth \$100,000, with a residual value of \$5,000. Production of units is 95,000. Thus, on a unit basis, the expense is (\$100,000 – \$5,000) / 95,000 = \$1. In one year, company A produces 10,000 units and, thus, records a depreciation expense of \$10,000

The units-of-production method is often used in mining operations. Check out our financial modeling course specialized in the mining industry.

CFI offers the Financial Modeling & Valuation Analyst (FMVA)® certification program for those looking to take their careers to the next level. To keep learning and advancing your career, the following resources will be helpful:

• Debt Schedule
• Bonds Payables
• Accounts Payables
• Share Capital