3.11 Depreciation: Allocation of Long-term Asset Cost

Fundamentals of Depreciation

As you have learned, when accounting for a long-term fixed asset, we cannot simply record an expense for the cost of the asset and record the entire outflow of cash in one accounting period. Like all other assets, when purchasing or acquiring a long-term asset, it must be recorded at the historical (initial) cost, which includes all costs to acquire the asset and put it into use. The initial recording of an asset has two steps:

  1. Record the initial purchase on the date of purchase, which places the asset on the balance sheet (as property, plant, and equipment) at cost, and record the amount as notes payable, accounts payable, or an outflow of cash.
  2. At the end of the period, make an adjusting entry to recognize the depreciation expense. Companies may record depreciation expense incurred annually, quarterly, or monthly.

Following GAAP and the expense recognition principle, the depreciation expense is recognized over the asset’s estimated useful life.

 

CONCEPTS IN PRACTICE

Estimating Useful Life and Salvage Value

Useful life and salvage value are estimates made at the time an asset is placed in service. It is common and expected that the estimates are inaccurate with the uncertainty involved in estimating the future. Sometimes, however, a company may attempt to take advantage of estimating salvage value and useful life to improve earnings. A larger salvage value and longer useful life decrease annual depreciation expense and increase annual net income. An example of this behavior is Waste Management, which was disciplined by the Securities and Exchange Commission for fraudulently altering its estimates to reduce depreciation expense and overstate net income by $1.7 billion.6

 

Components Used in Calculating Depreciation

The expense recognition principle that requires that the cost of the asset be allocated over the asset’s useful life is the process of depreciation. For example, if we buy a delivery truck to use for the next five years, we would allocate the cost and record depreciation expense across the entire five-year period. The calculation of the depreciation expense for a period is not based on anticipated changes in the fair market value of the asset; instead, the depreciation is based on the allocation of the cost of owning the asset over the period of its useful life.

The following items are important in determining and recording depreciation:

  • Book value: the asset’s original cost less accumulated depreciation.
  • Useful life: the length of time the asset will be productively used within operations.
  • Salvage (residual) value: the price the asset will sell for or be worth as a trade-in when its useful life expires. The determination of salvage value can be an inexact science, since it requires anticipating what will occur in the future. Often, the salvage value is estimated based on past experiences with similar assets.
  • Depreciable base (cost): the depreciation expense over the asset’s useful life. For example, if we paid $50,000 for an asset and anticipate a salvage value of $10,000, the depreciable base is $40,000. We expect $40,000 in depreciation over the time period in which the asset was used, and then it would be sold for $10,000.

Depreciation records an expense for the value of an asset consumed and removes that portion of the asset from the balance sheet. The journal entry to record depreciation is shown here.

Journal entry dated Jan. 1, 2019 debiting Depreciation Expense and crediting Accumulated Depreciation for unspecified amounts with the note “To record depreciation on asset for period.”
Figure 3.78 By: Rice University Source: Openstax CC BY-NC-SA 

Depreciation expense is a common operating expense that appears on an income statement. Accumulated depreciation is a contra account, meaning it is attached to another account and is used to offset the main account balance that records the total depreciation expense for a fixed asset over its life. In this case, the asset account stays recorded at the historical value but is offset on the balance sheet by accumulated depreciation. Accumulated depreciation is subtracted from the historical cost of the asset on the balance sheet to show the asset at book value. Book value is the amount of the asset that has not been allocated to expense through depreciation.

Harry Company. Partial Balance Sheet, December 31, 2020. Assets. Property, Plant and Equipment: Truck $25,000; Less: Accumulated Depreciation 5,000; equals $20,000.
Figure 3.79 By: Rice University Source: Openstax CC BY-NC-SA

In this case, the asset’s book value is $20,000: the historical cost of $25,000 less the accumulated depreciation of $5,000.

It is important to note, however, that not all long-term assets are depreciated. For example, land is not depreciated because depreciation is the allocating of the expense of an asset over its useful life. How can one determine a useful life for land? It is assumed that land has an unlimited useful life; therefore, it is not depreciated, and it remains on the books at historical cost.

Once it is determined that depreciation should be accounted for, there are three methods that are most commonly used to calculate the allocation of depreciation expense: the straight-line method, the units-of-production method, and the double-declining-balance method. A fourth method, the sum-of-the-years-digits method, is another accelerated option that has been losing popularity and can be learned in intermediate accounting courses. Let’s use the following scenario involving Kenzie Company to work through these three methods.

Assume that on January 1, 2019, Kenzie Company bought a printing press for $54,000. Kenzie pays shipping costs of $1,500 and setup costs of $2,500, assumes a useful life of five years or 960,000 pages. Based on experience, Kenzie Company anticipates a salvage value of $10,000.

Recall that determination of the costs to be depreciated requires including all costs that prepare the asset for use by the company. The Kenzie example would include shipping and setup costs. Any costs for maintaining or repairing the equipment would be treated as regular expenses, so the total cost would be $58,000, and, after allowing for an anticipated salvage value of $10,000 in five years, the business could take $48,000 in depreciation over the machine’s economic life.

Total Cost. Purchase Price $54,000; Shipping Costs 1,500; Set-up Costs 2,500; Total Cost $58,000; Less: Salvage Value 10,000; equals Depreciable Base $48,000.
Figure 3.80 By: Rice University Source: Openstax CC BY-NC-SA

 

CONCEPTS IN PRACTICE

Fixed Assets

You work for Georgia-Pacific as an accountant in charge of the fixed assets subsidiary ledger at a production and warehouse facility in Pennsylvania. The facility is in the process of updating and replacing several asset categories, including warehouse storage units, fork trucks, and equipment on the production line. It is your job to keep the information in the fixed assets subsidiary ledger up to date and accurate. You need information on original historical cost, estimated useful life, salvage value, depreciation methods, and additional capital expenditures. You are excited about the new purchases and upgrades to the facility and how they will help the company serve its customers better. However, you have been in your current position for only a few years and have never overseen extensive updates, and you realize that you will have to gather a lot of information at once to keep the accounting records accurate. You feel overwhelmed and take a minute to catch your breath and think through what you need. After a few minutes, you realize that you have many people and many resources to work with to tackle this project. Whom will you work with and how will you go about gathering what you need?

 

Straight-Line Depreciation

Straight-line depreciation is a method of depreciation that evenly splits the depreciable amount across the useful life of the asset. Therefore, we must determine the yearly depreciation expense by dividing the depreciable base of $48,000 by the economic life of five years, giving an annual depreciation expense of $9,600. The journal entries to record the first two years of expenses are shown, along with the balance sheet information. Here are the journal entry and information for year one:

Journal entry dated December 31, 2019 debiting Depreciation Expense: Printing Press for 9,600 and crediting Accumulated Depreciation: Printing Press for 9,600 with the note “To record depreciation on asset for period.”
Figure 3.81 By: Rice University Source: Openstax CC BY-NC-SA
Printing Press $58,000; Less: Accumulated Depreciation: Printing Press 9,600; equals Net Book Value $48,400.
Figure 3.82 By: Rice University Source: Openstax CC BY-NC-SA

After the journal entry in year one, the press would have a book value of $48,400. This is the original cost of $58,000 less the accumulated depreciation of $9,600. Here are the journal entry and information for year two:

Journal entry dated December 31, 2020 debiting Depreciation Expense: Printing Press for 9,600 and crediting Accumulated Depreciation: Printing Press for 9,600 with the note “To record depreciation on asset for period.”
Figure 3.83 By: Rice University Source: Openstax CC BY-NC-SA
Printing Press $58,000; Less: Accumulated Depreciation: Printing Press 19,200; equals Net Book Value $38,800.
Figure 3.84 By: Rice University Source: Openstax CC BY-NC-SA

Kenzie records an annual depreciation expense of $9,600. Each year, the accumulated depreciation balance increases by $9,600, and the press’s book value decreases by the same $9,600. At the end of five years, the asset will have a book value of $10,000, which is calculated by subtracting the accumulated depreciation of $48,000 (5 × $9,600) from the cost of $58,000.

Units-of-Production Depreciation

Straight-line depreciation is efficient, accounting for assets used consistently over their lifetime, but what about assets that are used with less regularity? The units-of-production depreciation method bases depreciation on the actual usage of the asset, which is more appropriate when an asset’s life is a function of usage instead of time. For example, this method could account for depreciation of a printing press for which the depreciable base is $48,000 (as in the straight-line method), but now the number of pages the press prints is important.

In our example, the press will have total depreciation of $48,000 over its useful life of 960,000 pages. Therefore, we would divide $48,000 by 960,000 pages to get a cost per page of $0.05. If Kenzie printed 180,000 pages in the first year, the depreciation expense would be 180,000 pages × $0.05 per page, or $9,000. The journal entry to record this expense would be the same as with straight-line depreciation: only the dollar amount would have changed. The presentation of accumulated depreciation and the calculation of the book value would also be the same. Kenzie would continue to depreciate the asset until a total of $48,000 in depreciation was taken after printing 960,000 total pages.

Double-Declining-Balance Depreciation

The double-declining-balance depreciation method is the most complex of the three methods because it accounts for both time and usage and takes more expense in the first few years of the asset’s life. Double-declining considers time by determining the percentage of depreciation expense that would exist under straight-line depreciation. To calculate this, divide 100% by the estimated life in years. For example, a five-year asset would be 100 ÷ 5, or 20% a year. A four-year asset would be 100 ÷ 4, or 25% a year. Next, because assets are typically more efficient and “used” more heavily early in their life span, the double-declining method takes usage into account by doubling the straight-line percentage. For a four-year asset, multiply 25% (100% ÷ 4-year life) × 2, or 50%. For a five-year asset, multiply 20% (100% ÷ 5-year life) × 2, or 40%.

One unique feature of the double-declining-balance method is that in the first year, the estimated salvage value is not subtracted from the total asset cost before calculating the first year’s depreciation expense. Instead the total cost is multiplied by the calculated percentage. However, depreciation expense is not permitted to take the book value below the estimated salvage value, as demonstrated in the following text.

Columns labeled left to right: Year, Depreciation Expense, Accumulated Depreciation, Book Value.
Figure 3.85 By: Rice University Source: Openstax CC BY-NC-SA Long Description

Notice that in year four, the remaining book value of $12,528 was not multiplied by 40%. This is because the expense would have been $5,011.20, and since we cannot depreciate the asset below the estimated salvage value of $10,000, the expense cannot exceed $2,528, which is the amount left to depreciate (difference between the book value of $12,528 and the salvage value of $10,000). Since the asset has been depreciated to its salvage value at the end of year four, no depreciation can be taken in year five.

In our example, the first year’s double-declining-balance depreciation expense would be $58,000 × 40%, or $23,200. For the remaining years, the double-declining percentage is multiplied by the remaining book value of the asset. Kenzie would continue to depreciate the asset until the book value and the estimated salvage value are the same (in this case $10,000).

The net effect of the differences in straight-line depreciation versus double-declining-balance depreciation is that under the double-declining-balance method, the allowable depreciation expenses are greater in the earlier years than those allowed for straight-line depreciation. However, over the depreciable life of the asset, the total depreciation expense taken will be the same, no matter which method the entity chooses. For example, in the current example both straight-line and double-declining-balance depreciation will provide a total depreciation expense of $48,000 over its five-year depreciable life.

Summary of Depreciation

Table 3.3 compares the three methods discussed. Note that although each time-based (straight-line and double-declining balance) annual depreciation expense is different, after five years the total amount depreciated (accumulated depreciation) is the same. This occurs because at the end of the asset’s useful life, it was expected to be worth $10,000: thus, both methods depreciated the asset’s value by $48,000 over that time period.

The units of production method is different from the two above methods in that while those methods are based on time factors, the units of production is based on usage. However, the total amount of depreciation taken over an asset’s economic life will still be the same. In our example, the total depreciation will be $48,000, even though the sum-of-the-years-digits method could take only two or three years or possibly six or seven years to be allocated.

Table 3.5 Accounts and Notes Receivable By: Rice University OpenStax CC BY-NC-SA 4.0
Depreciation Method Calculation
Straight line (Cost – salvage value)/Useful life
Units of production (Cost – salvage value) × (Units produced in current period/Estimated total units to be produced)
Double declining balance Book value × Straight-line annual depreciation percentage × 2
Columns labeled left to right: Period, Straight-Line Depreciation Method, Units of Production Method, Double-Declining Balance Method.
Figure 3.86 By: Rice University Source: Openstax CC BY-NC-SA Long Description

Partial-Year Depreciation

A company will usually only own depreciable assets for a portion of a year in the year of purchase or disposal. Companies must be consistent in how they record depreciation for assets owned for a partial year. A common method is to allocate depreciation expense based on the number of months the asset is owned in a year. For example, a company purchases an asset with a total cost of $58,000, a five-year useful life, and a salvage value of $10,000. The annual depreciation is $9,600 ([$58,000 – 10,000] ÷ 5). However, the asset is purchased at the beginning of the fourth month of the fiscal year. The company will own the asset for nine months of the first year. The depreciation expense of the first year is $7,200 ($9,600 × 9/12). The company will depreciate the asset $9,600 for the next four years, but only $2,400 in the sixth year so that the total depreciation of the asset over its useful life is the depreciable amount of $48,000 ($7,200 + 9,600 + 9,600 + 9,600 + 9,600 + 2,400).

 

YOUR TURN

Calculating Depreciation Costs

Liam buys his silk screen machine for $10,000. He estimates that he can use this machine for five years or 100,000 presses, and that the machine will only be worth $1,000 at the end of its life. He also estimates that he will make 20,000 clothing items in year one and 30,000 clothing items in year two. Determine Liam’s depreciation costs for his first two years of business under straight-line, units-of-production, and double-declining-balance methods. Also, record the journal entries.

Solution

Straight-line method: ($10,000 – $1,000) ÷ 5 = $1,800 per year for both years.

Journal entry dated Jan. 1, 2019 debiting Depreciation Expense for 1,800 and crediting Accumulated Depreciation for 1,800.
Figure 3.87 By: Rice University Source: Openstax CC BY-NC-SA

Units-of-production method: ($10,000 – $1,000) ÷ 100,000= $0.09 per press

Year 1 expense: $0.09 × 20,000 = $1,800

Journal entry dated Jan. 1, 2019 debiting Depreciation Expense for 1,800 and crediting Accumulated Depreciation for 1,800.
Figure 3.88 By: Rice University Source: Openstax CC BY-NC-SA

 

Year 2 expense: $0.09 × 30,000 = $2,700

Journal entry dated Jan. 1, 2019 debiting Depreciation Expense for 2,700and crediting Accumulated Depreciation for 2,700.
Figure 3.89 By: Rice University Source: Openstax CC BY-NC-SA

Double-declining-balance method:

Year 1 expense: [($10,000 – 0) ÷ 5] × 2 = $4,000

Journal entry dated Jan. 1, 2019 debiting Depreciation Expense for 4,000 and crediting Accumulated Depreciation for 4,000.
Figure 3.90 By: Rice University Source: Openstax CC BY-NC-SA

 

Year 2 expense: [($10,000 – $4,000) ÷ 5] × 2 = $2,400

Journal entry dated Jan. 1, 2019 debiting Depreciation Expense for 2,400 and crediting Accumulated Depreciation for 2,400.
Figure 3.91 By: Rice University Source: Openstax CC BY-NC-SA

Special Issues in Depreciation

While you’ve now learned thebasic foundationof the major available depreciation methods, there are a few special issues. Until now, we have assumed a definite physical or economically functional useful life for the depreciable assets. However, in some situations, depreciable assets can be used beyond their useful life. If so desired, the company could continue to use the asset beyond the original estimated economic life. In this case, a new remaining depreciation expense would be calculated based on the remaining depreciable base and estimated remaining economic life.

Assume in the earlier Kenzie example that after five years and $48,000 in accumulated depreciation, the company estimated that it could use the asset for two more years, at which point the salvage value would be $0. The company would be able to take an additional $10,000 in depreciation over the extended two-year period, or $5,000 a year, using the straight-line method.

As with the straight-line example, the asset could be used for more than five years, with depreciation recalculated at the end of year five using the double-declining balance method. While the process of calculating the additional depreciation for the double-declining-balance method would differ from that of the straight-line method, it would also allow the company to take an additional $10,000 after year five, as with the other methods, so long as the cost of $58,000 is not exceeded.

As a side note, there often is a difference in useful lives for assets when following GAAP versus the guidelines for depreciation under federal tax law, as enforced by the Internal Revenue Service (IRS). This difference is not unexpected when you consider that tax law is typically determined by the United States Congress, and there often is an economic reason for tax policy.

For example, if we want to increase investment in real estate, shortening the economic lives of real estate for taxation calculations can have a positive increasing effect on new construction. If we want to slow down new production, extending the economic life can have the desired slowing effect. In this course, we concentrate on financial accounting depreciation principles rather than tax depreciation.

Fundamentals of Depletion of Natural Resources

Another type of fixed asset is natural resources, assets a company owns that are consumed when used. Examples include lumber, mineral deposits, and oil/gas fields. These assets are considered natural resources while they are still part of the land; as they are extracted from the land and converted into products, they are then accounted for as inventory (raw materials). Natural resources are recorded on the company’s books like a fixed asset, at cost, with total costs including all expenses to acquire and prepare the resource for its intended use.

As the resource is consumed (converted to a product), the cost of the asset must be expensed: this process is called depletion. As with depreciation of nonnatural resource assets, a contra account called accumulated depletion, which records the total depletion expense for a natural resource over its life, offsets the natural resource asset account. Depletion expense is typically calculated based on the number of units extracted from cutting, mining, or pumping the resource from the land, similar to the units-of-production method. For example, assume a company has an oil well with an estimated 10,000 gallons of crude oil. The company purchased this well for $1,000,000, and the well is expected to have no salvage value once it is pumped dry. The depletion cost per gallon will be $1,000,000 ÷ 10,000 = $100. If the company extracts 4,000 gallons of oil in a given year, the depletion expense will be $400,000.

Fundamentals of Amortization of an Intangible

Recall that intangible assets are recorded as long-term assets at their cost. As with tangible assets, many intangible assets have a finite (limited) life span so their costs must be allocated over their useful lives: this process is amortization. Depreciation and amortization are similar in nature but have some important differences. First, amortization is typically only done using the straight-line method. Second, there is usually no salvage value for intangible assets because they are completely used up over their life span. Finally, an accumulated amortization account is not required to record yearly expenses (as is needed with depreciation); instead, the intangible asset account is written down each period.

For example, a company called Patents-R-Us purchased a product patent for $10,000, granting the company exclusive use of that product for the next twenty years. Therefore, unless the company does not think the product will be useful for all twenty years (at that point the company would use the shorter useful life of the product), the company will record amortization expense of $500 a year or ($10,000 ÷ 20 years). Assuming that it was placed into service on October 1, 2019, the journal entry would be as follows:

Journal entry dated October 1, 2019 debiting Amortization Expense for 125 and crediting Patent for 125 with the note “To record amortization on patent for period.”
Figure 3.92 By: Rice University Source: Openstax CC BY-NC-SA

Long Descriptions

Columns labeled left to right: Year, Depreciation Expense, Accumulated Depreciation, Book Value. Line 1: $58,000 in the Book Value column. Line 2: 1: $58,000 times 40 percent equals $23,200, $23,200, 34,800. Line 3: 2: $34,800 times 40 percent equals $13,920, 37,120, 20,880. Line 4: 3: $20,880 times 40 percent equals 8,352, 45,472, 12,528. Line 5: 4: $12,528 minus $10,000 equals 2,528, 48,000, 10,000. Line 6: 5, 0, 48,000, 10.000. Line 7: Total, $48,000, $48,000, $10,000. Return

Columns labeled left to right: Period, Straight-Line Depreciation Method, Units of Production Method, Double-Declining Balance Method. Year 1, $9,600, (180,000 units) $9,000, $23,200. Year 2, 9,600, (200,000 units) 10,000, 13,920. Year 3, 9,600, (210,000 units) 10,500, 8,352. Year 4, 9,600, (190,000 units) 9,500, 2,528. Year 5, 9,600, (180,000 units) 9,000, 0. Total, $48,000, $48,000, $48,000.” Return

Footnotes

  • 6 U.S. Securities and Exchange Commission. “Judge Enters Final Judgment against Former CFO of Waste Management, Inc. Following Jury Verdict in SEC’s Favor.” January 3, 2008. https://www.sec.gov/news/press/2008/2008-2.htm

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