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Depreciation of Plant Assets: Methods, Measurement, and Comparison

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Plant Assets, Natural Resources, and Intangibles

Introduction

Plant assets, also known as property, plant, and equipment (PP&E), are long-term tangible assets used in the operations of a business. Depreciation is the process by which the cost of these assets is allocated over their useful lives. Understanding depreciation is essential for accurate financial reporting and decision-making in financial accounting.

Accounting for Depreciation on Plant Assets

Book Value of Plant Assets

  • Book Value is the value at which an asset is carried on the balance sheet. It is calculated as:

  • Plant assets are recorded at their book value on the balance sheet.

Depreciation: Definition and Purpose

  • Depreciation is the systematic allocation of a plant asset's cost to expense over its useful life.

  • It is necessary because plant assets wear out, become obsolete, and lose value over time.

  • Depreciation matches the cost of the asset against the revenue it helps generate each period.

  • Depreciation expense is reported on the income statement.

  • Land is not depreciated because it does not have a finite useful life.

Depreciation and Revenue Generation

  • Depreciation allocates costs to the periods in which the asset helps generate revenue, ensuring proper matching of expenses and revenues.

  • Example: An airplane with a useful life of 20 years will have its cost allocated over those years as it generates revenue.

Measuring Depreciation

Key Factors in Depreciation Calculation

  • Cost: The purchase price plus all costs necessary to get the asset ready for use.

  • Estimated Useful Life: The expected period over which the asset will be used in operations.

  • Estimated Residual Value: The expected cash value of the asset at the end of its useful life.

Depreciation Methods

Overview of Depreciation Methods

  • Straight-line method

  • Units-of-production method

  • Double-declining balance method

Depreciation Computation Data Example

Data Item

Amount

Cost of truck

$41,000

Less: Estimated residual value

($1,000)

Depreciable cost

$40,000

Estimated useful life (years)

5 years

Units of production

100,000 units [miles]

Straight-Line Method

Concept and Calculation

  • Assigns an equal amount of depreciation to each period of the asset's useful life.

  • Annual depreciation expense is calculated as:

  • Example: For a truck with a depreciable cost of $40,000 and a useful life of 5 years:

per year

Straight-Line Depreciation Schedule Example

Date

Cost

Rate*

Depreciable Cost

Yearly Expense

Accum. Deprec.

Book Value

1/1/2023

41,000

0.2

40,000

8,000

8,000

33,000

12/31/2023

41,000

0.2

40,000

8,000

16,000

25,000

12/31/2024

41,000

0.2

40,000

8,000

24,000

17,000

12/31/2025

41,000

0.2

40,000

8,000

32,000

9,000

12/31/2026

41,000

0.2

40,000

8,000

40,000

1,000

*Years of useful life = 5; Rate = 0.2

Units-of-Production (UOP) Method

Concept and Calculation

  • Depreciation is based on the actual usage of the asset, not time.

  • Depreciable cost is divided by total estimated units of production to determine depreciation per unit:

  • Depreciation expense for each period is:

  • Example: For a truck with $40,000 depreciable cost and 100,000 miles estimated usage:

per mile

Units-of-Production Depreciation Schedule Example

Date

Cost

Rate per Unit

Number Units

Yearly Expense

Accum. Deprec.

Book Value

1/1/2023

41,000

0.4

20,000

8,000

8,000

33,000

12/31/2023

41,000

0.4

30,000

12,000

20,000

21,000

12/31/2024

41,000

0.4

25,000

10,000

30,000

11,000

12/31/2025

41,000

0.4

15,000

6,000

36,000

5,000

12/31/2026

41,000

0.4

10,000

4,000

40,000

1,000

Double-Declining-Balance (DDB) Method

Concept and Calculation

  • The DDB method is an accelerated depreciation method that writes off a larger portion of the asset's cost in the early years.

  • It multiplies the asset's book value at the beginning of the year by twice the straight-line rate:

  • Residual value is ignored initially; the final year depreciation is a "plug" to reduce book value to estimated residual value.

Double-Declining-Balance Depreciation Schedule Example

Date

Cost

DDB Rate

Yearly Expense

Accum. Deprec.

Book Value

1/1/2023

41,000

0.4

16,400

16,400

24,600

12/31/2023

41,000

0.4

9,840

26,240

14,760

12/31/2024

41,000

0.4

5,904

32,144

8,856

12/31/2025

41,000

0.4

3,542

35,686

5,314

12/31/2026

41,000

0.4

4,314*

40,000

1,000

*Final-year depreciation is a plug amount to reduce book value to estimated salvage value.

Comparing Depreciation Methods

Best Use Cases for Each Method

  • Straight-line: Best for assets that generate revenue evenly over time.

  • Units-of-production: Best for assets that wear out due to usage.

  • Double-declining-balance: Best for assets that generate more revenue in the early years of their useful life.

Comparison Table: Amount of Depreciation per Year

Year

Straight-Line

Units-of-Production

Accelerated (DDB)

1

$8,000

$8,000

$16,400

2

$8,000

$12,000

$9,840

3

$8,000

$10,000

$5,904

4

$8,000

$6,000

$3,542

5

$8,000

$4,000

$4,314

Total

$40,000

$40,000

$40,000

Depreciation Patterns Through Time

  • Straight-line: Depreciation expense remains constant each year.

  • Units-of-production: Depreciation expense varies with asset usage.

  • Accelerated (DDB): Depreciation expense is higher in early years and decreases over time.

Depreciation Methods Used by Companies

  • According to a survey of 600 companies:

Method

Percentage Used

Straight-line

88%

Accelerated

7%

Units-of-production

4%

Other

1%

Depreciation for Partial Years

Partial-Year Depreciation

  • When an asset is purchased partway through the year, depreciation must be prorated for the period of ownership.

  • Example: If a building is purchased on September 1 for $500,000, with a 20-year life and $80,000 residual value, and the accounting year ends May 31, depreciation for the first year is calculated based on the months owned.

Formula for Partial-Year Depreciation:

Summary

  • Depreciation is a key concept in financial accounting for allocating the cost of plant assets over their useful lives.

  • Three main methods—straight-line, units-of-production, and double-declining-balance—offer different patterns of expense recognition.

  • Choosing the appropriate method depends on the asset's usage and revenue generation pattern.

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