1 Depreciation and Depletion C hapter 10. 2 1.Identify the factors involved in depreciation. 2. Explain the alternative methods of cost allocation, including

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Depreciation and DepletionDepreciation and Depletion

Chapter10

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1. Identify the factors involved in depreciation.

2. Explain the alternative methods of cost allocation, including activity and time-based methods.

3. Record depreciation.

4. Explain the conceptual issues regarding depreciation methods.

5. Understand the disclosure of depreciation.

ObjectivesObjectives

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6. Understand additional depreciation methods, including group and composite methods.

7. Compute depreciation for partial periods.

8. Explain the impairment of noncurrent assets.

9. Understand depreciation for income tax purposes.

10. Explain changes and corrections of depreciation.

11. Understand and record depletion.

ObjectivesObjectives

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Factors Involved in DepreciationFactors Involved in Depreciation

Asset cost Service life Residual value Method of cost

allocation

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Service LifeService Life

Service life is the measure of the number of units of service expected from the asset before its disposal.

Service life is the measure of the number of units of service expected from the asset before its disposal.

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Service LifeService Life

The factors that limit the service life of an asset can be divided into

two general categories.

The factors that limit the service life of an asset can be divided into

two general categories.

Physical causesFunctional causes

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Residual ValueResidual Value

Residual, or salvage value, is the net amount that can be

expected to be obtained when the asset is disposed.

Residual, or salvage value, is the net amount that can be

expected to be obtained when the asset is disposed.

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Methods of Cost AllocationMethods of Cost Allocation

• Activity (or use) methods

• Time-based methodsa. Straight-line

b. Accelerated (declining charge)(1) Sum-of-the-years’-digits (2) Declining balance

• Activity (or use) methods

• Time-based methodsa. Straight-line

b. Accelerated (declining charge)(1) Sum-of-the-years’-digits (2) Declining balance

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Activity MethodsActivity Methods

Depreciation Rate =Cost - Residual Value

Total Lifetime Activity Level

= $120,000 - $20,000

10,000 hours

Assume the asset is used for 2,100 hours.Depreciation = $2,100 (2,100 hours x $10)

= $10 per hour

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Depreciation Rate =Cost - Residual Value

Service Life

= $120,000 - $20,000

5 Years

Time-Based Method: Straight LineTime-Based Method: Straight Line

= $20,000 per year

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Time-Based Method: Sum-of-the-Years’ DigitsTime-Based Method: Sum-of-the-Years’ Digits

Depreciation Book Value atYear Base Fraction Depreciation Year-End

2000 $100,000 5/15 $ 33,333 $86,6672001 100,000 4/15 26,667 60,0002002 100,000 3/15 20,000 40,0002003 100,000 2/15 13,333 26,6672004 100,000 1/15 6,667 20,000

$100,000

Residual Residual ValueValue


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Time-Based Method: Declining-BalanceTime-Based Method: Declining-Balance

Book Value at Book Value atYear Beginning of Year Rate Depreciation Year-End

2000 $120,000 40% $ 48,000 $72,0002001 72,000 40% 28,800 43,2002002 43,200 40% 17,280 25,9202003 25,920 --- 5,920 20,0002004 20,000 --- --- 20,000

$100,000

Double-Declining BalanceDouble-Declining Balance



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Time-Based Method: Declining-BalanceTime-Based Method: Declining-Balance

Book Value at Book Value atYear Beginning of Year Rate Depreciation Year-End

2000 $120,000 30% $ 36,000 $84,0002001 84,000 30% 25,200 58,8002002 58,800 30% 17,640 41,1602003 41,160 30% 12,348 28,8122004 28,812 --- 8,812 20,000

$100,000

150%-Declining Balance150%-Declining Balance



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Recording DepreciationRecording Depreciation

The credit to depreciation is usually called Accumulated Depreciation or Allowance

for Depreciation.

The credit to depreciation is usually called Accumulated Depreciation or Allowance

for Depreciation.

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Recording DepreciationRecording Depreciation

The account title Reserve for Depreciation is considered undesirable because of the

uncertain meaning of “reserve.”

The account title Reserve for Depreciation is considered undesirable because of the

uncertain meaning of “reserve.”

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Conceptual Evaluation of Depreciation Methods


Depreciation Expense

$

2000 2001 2002 2003 2004

During Year

Straight-Line

Sum-of-the-Years-Digits

Double-Declining-Balance

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Book Value

$

2000 2001 2002 2003 2004

At End of Year

Straight-Line

Sum-of-the-Years-Digits

Double-Declining-Balance

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If a company expects that repairs and maintenance costs and the total economic benefits of the asset will

remain similar each period,...

If a company expects that repairs and maintenance costs and the total economic benefits of the asset will

remain similar each period,...

…a similar total cost each period can be achieve through straight-line depreciation and the similar repair

and maintenance costs.

…a similar total cost each period can be achieve through straight-line depreciation and the similar repair

and maintenance costs.

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If the company expects that benefits of having the asset

will decline each year for the life of the asset, ...

If the company expects that benefits of having the asset

will decline each year for the life of the asset, ...

…and repairs and maintenance costs are constant each period, a

declining total cost will be achieved by using accelerated depreciation.

…and repairs and maintenance costs are constant each period, a

declining total cost will be achieved by using accelerated depreciation.

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Effect of Depreciation on Rate of Return

Effect of Depreciation on Rate of Return

Book Value of Asset Rate ofYear Net Income at Beginning of Year Return

2000 $12,000 $120,000 10%2001 12,000 100,000 12 2002 12,000 80,000 152003 12,000 60,000 202004 12,000 40,000 30

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Disclosure of DepreciationDisclosure of Depreciation

Depreciation expense for the period. Balance of major classes of depreciable assets, by

nature or function, at the balance sheet date. Accumulated depreciation, either by major classes

of depreciable assets or in total, at the balance sheet date.

A general description of the method or methods used in computing depreciation with respect to major classes of depreciable assets.

APB Opinion No. 12 requires the following:

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Disclosure of DepreciationDisclosure of Depreciation

Number of Companies

1997 1994 1990 1986 1982 1978

Straight-line ……...….578 573 560 561 562 560Declining-balance.….. 26 27 38 49 57 67Sum-of-the-years- digits ………………. 10 9 11 14 20 35Accelerated method, not specified……….. 50 49 69 77 69 67Units-of-production…. 39 49 50 48 62 44

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Group DepreciationGroup Depreciation

A company purchased ten

cars for $20,000 each, and the

average expected life is 3 years

with a residual value of $5,000

each.

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To record the purchase.To record the purchase.

Cars 200,000 Cash 200,000

To record the first year’s depreciation expense.To record the first year’s depreciation expense.

Depreciation Expense 50,000 Accumulated Depreciation 50,000

This same depreciation entry would be made at in the end of the second year.

This same depreciation entry would be made at in the end of the second year.

$200,000 - $50,000$200,000 - $50,000

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Three cars were sold after 2 years for $8,000 each.Three cars were sold after 2 years for $8,000 each.

Cash 24,000Accumulated Depreciation 36,000 Cars 60,000

To record the third year’s depreciation expense.To record the third year’s depreciation expense.


.25 ($200,000 - $60,000).25 ($200,000 - $60,000)

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Five cars were sold after 3 years for $6,000 each.Five cars were sold after 3 years for $6,000 each.

Cash 30,000Accumulated Depreciation 70,000 Cars 100,000

To record the fourth year’s depreciation expense.To record the fourth year’s depreciation expense.


To reduce the $11,000 book To reduce the $11,000 book value to the salvage value.value to the salvage value.

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The final two cars were sold for $4,800 each.The final two cars were sold for $4,800 each.

Cash 9,600Accumulated Depreciation 30,000Loss on Disposal 400 Cars 40,000

Book value = Book value = $10,000$10,000Cash received =Cash received = 9,600 9,600LossLoss $ 400$ 400


Two cars were sold after 3 years for $4,800 each.Two cars were sold after 3 years for $4,800 each.

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Composite DepreciationComposite Depreciation

AnnualAsset Cost Residual Value Life Depreciation

A $25,000 $5,000 10 yrs. $2,000B 13,000 1,000 6 2,000C 12,000 ----- 4 3,000

$50,000 $6,000 $7,000

Depreciation Rate = = 14%7,000

$50,000

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Annual Year Depreciation

Depreciation for Partial PeriodsDepreciation for Partial Periods

1 3/6 x $6,000 = $3,000 x 4/12 = $1,000 2 $3,000 x 8/12 2/6 x $6,000 = $2,000 x 4/12 = 2,667 3 $2,000 x 8/12 1/6 x $6,000 = $1,000 x 4/12 = 1,667 4 $1,000 x 8/12 = 666

$6,000

A company purchases a $6,000 asset with a 3-year life and no residual value on August 18. The firm uses the sums-

of-the-years’-digits method.

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1 2/3 x $6,000 = $4,000 x 4/12 = $1,333 2 $4,000 x 8/12 2/3 x $2,000 = $1,333 x 4/12 = 3,111 3 $1,333 x 8/12

$667 x 4/12 = 1,111 4 $667 x 8/12 = 445

$6,000

A company purchases a $6,000 asset with a 3-year life and no residual value on August 18. The firm

uses the double-declining-balance method.OROR

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1 4/12 x $4,000 = $1,333 2 0.667 x ($6,000 - $1,333) = 3,113 3 0.667 x ($4,667 - $3,113) = 1,037 4 Remaining balance = 517

$6,000

Declining-Balance-MethodDeclining-Balance-Method

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Impairment of a Noncurrent AssetImpairment of a Noncurrent Asset

On January 1, 1997, the Hall Company purchased a factory for $1 million (20-year life)

and machinery for $3 million (10-year life).

On January 1, 1997, the Hall Company purchased a factory for $1 million (20-year life)

and machinery for $3 million (10-year life).

Late in 2000, the company believes that its asset(s) may be impaired and the remaining

useful life is 5 years. The company estimates that the asset will produce cash inflows of

$700,000 and incur cash outflow of $300,000 each year for the next 5 years.

Late in 2000, the company believes that its asset(s) may be impaired and the remaining

useful life is 5 years. The company estimates that the asset will produce cash inflows of

$700,000 and incur cash outflow of $300,000 each year for the next 5 years.

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December 31, 2000Factory cost $1,000,000 Less: Accumulated depreciation

(4 x $50,000) (200,000)Book value $ 800,000Machinery cost $3,000,000 Less: Accumulated depreciation

(4 x $300,000) (1,200,000)Book value 1,800,000Total Book Value $2,600,000


Impairment TestImpairment Test

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= 5 x $400,000

= $2,000,000


Impairment TestImpairment Test

Undiscounted expected net cash flows = 5 x ($700,000 - $300,000)

Years Years Cash

Inflows

Cash Inflows

Cash Outflows

Cash Outflows

Because $2,000,000 is less than $2,600,000 (the book value), an

impairment loss must be recognized.

Because $2,000,000 is less than $2,600,000 (the book value), an

impairment loss must be recognized.

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Measurement of the LossMeasurement of the Loss

Present value of the expectedcash flows (fair value)

= $400,000 x 3.274294

= $1,309,718 (rounded)

n= 5, i = 0.16 from Table 4 in Appendix

n= 5, i = 0.16 from Table 4 in Appendix

Book value $2,600,000 Fair value (1,309,718)Impairment loss $1,290,282

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FASB Statement No. 121 does not specify how to record the write-down. It does

indicate that the reduced book value is to be accounted for as the new cost.

FASB Statement No. 121 does not specify how to record the write-down. It does

indicate that the reduced book value is to be accounted for as the new cost.

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Loss from Impairment 1,290,282Accumulated Depreciation: Factory 200,000Accumulated Depreciation: Machinery 1,200,000Factory (new cost) 327,429Machinery (new cost) 982,289 Factory (old cost) 1,000,000 Machinery (old cost) 3,000,000

$1,309,718 x [$1,000,000 ÷ ($3,000,000 ÷ $1,000,000)]$1,309,718 x [$1,000,000 ÷ ($3,000,000 ÷ $1,000,000)]$1,309,718 x [$3,000,000 ÷ ($3,000,000 ÷ $1,000,000)]$1,309,718 x [$3,000,000 ÷ ($3,000,000 ÷ $1,000,000)]

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MACRS PrinciplesMACRS Principles

A mandated life, which is usually shorter than the economic life.

The acceleration of the cost recovery (except for buildings).

The elimination of residual value.

A mandated life, which is usually shorter than the economic life.

The acceleration of the cost recovery (except for buildings).

The elimination of residual value.

For an asset purchased in 1987 and later, a company’s computation of depreciation for income tax and financial reporting differ in three major respects:

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On January 1, 2000 Melville Company purchased an asset for $200,000. The estimated economic life and

residual value are 8 years and $20,000, respectively.

On January 1, 2000 Melville Company purchased an asset for $200,000. The estimated economic life and

residual value are 8 years and $20,000, respectively.

The MACRS life is 5 years. Examine Exhibit l0-12 to determine the annual depreciation rate for 2000.

The MACRS life is 5 years. Examine Exhibit l0-12 to determine the annual depreciation rate for 2000. 20%20%

Determine depreciation for 2000-2005.Determine depreciation for 2000-2005.

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2000 $200,000 x 20% = $ 40,0002001 $200,000 x 32% = 64,0002002 $200,000 x 19.20% = 38,4002003 $200,000 x 11.52% = 23,0402004 $200,000 x 11.52% = 23,0402005 $200,000 x 5.76% = 11,520

$200,000

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Changes and Corrections of Depreciation

Changes and Corrections of Depreciation

A change in the depreciation method for currently owned assets is accounted for by a cumulative-effect change.

Adoption of a new depreciation method for newly acquired assets does not require any adjustment to the accounts.

A change in an estimate of the residual value or the service life of a currently owned asset is accounted for prospectively.

Correction of an error in depreciation is treated as prior period adjustment.

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DepletionDepletion

Unit Depletion Rate =Cost - Residual Value

Units

A company purchases land for $3,000,000 from which it expects to extract 1,000,000 tons of coal, the

estimated residual value is $200,000, and it mines 80,000 tons of coal in 2000.

A company purchases land for $3,000,000 from which it expects to extract 1,000,000 tons of coal, the

estimated residual value is $200,000, and it mines 80,000 tons of coal in 2000.

Unit Depletion Rate =$3,000,000 - $200,000

1,000,000 tons

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DepletionDepletion

Unit Depletion Rate =Cost - Residual Value

Units

Unit Depletion Rate =$3,000,000 - $200,000

1,000,000 tons

Unit Depletion Rate = $2.80 per ton

Depletion for Year = $2.80 x 80,000 = $224,000

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Chapter10

Documents

1 Depreciation and Depletion C hapter 10. 2 1.Identify the factors involved in depreciation. 2. Explain the alternative methods of cost allocation, including