Accounting for Depreciation and Fixed Assets

Fixed Assets and Depreciation

Accounting for Depreciation: Key Concepts

  • Fixed assets lose their ability to provide service over time.

  • This loss of functionality is recorded as an expense.

  • Journal entries are made monthly or as adjusting entries at the end of the year.

Journal Entry for Depreciation

  • Debit Depreciation Expense.

  • Credit Accumulated Depreciation (a contra asset account).

  • Land is the only fixed asset that does not depreciate; it appreciates in value.

Factors of Depreciation

  • Physical Depreciation: Wear and tear due to use or exposure (e.g., weather).

  • Functional Depreciation: Asset no longer performs as intended (e.g., an outdated computer).

  • Assets can experience both types of depreciation.

Common Misunderstandings About Depreciation

  • Depreciation does NOT measure a decline in market value.

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

  • Book Value: Original cost less accumulated depreciation; rarely equals market value.

    • BookValue=OriginalCost−AccumulatedDepreciationBook Value = Original Cost - Accumulated Depreciation

  • Depreciation does NOT provide cash to replace the asset; it's a non-cash transaction.

Elements Needed to Compute Depreciation Expense

  • Initial Cost: Purchase price plus costs to get the asset ready for use.

  • Useful Life: Estimated time the asset will be used in operations.

  • Residual Value (Salvage Value): Estimated value of the asset at the end of its useful life.

Key Definitions

  • Initial Cost: Purchase price + costs incurred to get the asset ready for use.

  • Useful Life: Estimated time asset will be used in business operations; can vary based on usage.

  • Residual Value: Estimated value of the asset at the end of its useful life, also known as salvage value, scrap value, or trade-in value.

  • Depreciable Cost: Initial cost minus residual value.

    • DepreciableCost=InitialCost−ResidualValueDepreciable Cost = Initial Cost - Residual Value

Depreciation Methods

  • Straight-Line Method

  • Units of Activity Method

  • Double-Declining Balance Method

  • Companies can use different methods for different assets.

Straight-Line Method

  • Easiest method; same depreciation expense each year.

  • Formula: DepreciationExpense=RACInitialCost−ResidualValueUsefulLifeDepreciation Expense = RAC{Initial Cost - Residual Value}{Useful Life}

  • Journal entry: Debit Depreciation Expense, Credit Accumulated Depreciation.

  • Accumulated Depreciation is a contra asset account.

Example of Straight-Line Method

  • Initial cost: 24,000</p></li><li><p>Residualvalue:24,000</p></li><li><p>Residual value:2,000

  • Useful life: 5 years

  • Depreciable cost: 22,000</p></li><li><p>Annualdepreciationexpense:22,000</p></li><li><p>Annual depreciation expense: RAC{22,000}{5} = $4,400</p><ul><li><p>Monthlydepreciationexpense:</p><ul><li><p>Monthly depreciation expense: RAC{4,400}{12} = $367

Straight Line Rate

  • Formula: StraightLineRate=RAC1UsefulLifeStraight Line Rate = RAC{1}{Useful Life}

  • Using the previous example, the straight line rate =RAC15=20%= RAC{1}{5} = 20 \%. Then you multiply that rate by the Depreciable base:

    • 0.20×22,000=4,4000.20 \times 22,000 = 4,400

Units of Activity Method

  • Depreciation expense varies based on asset usage (hours, miles, quantity produced).

  • Also known as Units of Production or Units of Output Method.

  • Two-step calculation:

    1. Calculate Depreciation per Unit: RACCost−ResidualValueTotalEstimatedUnitsofActivityRAC{Cost - Residual Value}{Total Estimated Units of Activity}

    2. Multiply by Units of Activity for the Period: DepreciationPerUnit×UnitsofActivityDepreciation Per Unit \times Units of Activity

Example of Units of Activity Method

  • Initial cost: 24,000</p></li><li><p>Residualvalue:24,000</p></li><li><p>Residual value:2,000

  • Total estimated units of activity: 10,000 hours

  • Depreciation per unit: RAC{22,000}{10,000} = $2.20 \text{ per hour}

  • Year 1 activity: 2,100 hours

    • Year 1 Depreciation: 2.20 \times 2,100 = $4,620

  • Year 2 activity: 1,500 hours

    • Year 2 Depreciation: 2.20 \times 1,500 = $3,300

  • Year 3 activity: 2,600 hours

    • Year 3 Depreciation: 2.20 \times 2,600 = $5,720

Double-Declining Balance Method

  • Higher depreciation expense in early years; declines over time.

  • Also known as Accelerated Depreciation Method.

  • Three-step calculation:

    1. Determine Straight-Line Rate: RAC1UsefulLifeRAC{1}{Useful Life}

    2. Double the Rate: 2×StraightLineRate2 \times Straight Line Rate

    3. Compute Depreciation Expense: DoubleDecliningRate×BookValueDouble Declining Rate \times Book Value

Example of Double-Declining Balance Method

  • Initial cost: 24,000</p></li><li><p>Residualvalue:24,000</p></li><li><p>Residual value:2,000

  • Useful life: 5 years

    • Straight-line rate: RAC15=20%RAC{1}{5} = 20\%

    • Double-declining rate: 20%×2=40%20\% \times 2 = 40\%

  • Year 1:

    • Book value: 24,000(InitialCost)</p></li><li><p>Year1Depreciation:24,000 (Initial Cost)</p></li><li><p>Year 1 Depreciation:24,000 \times 40\% = $9,600</p></li></ul></li><li><p>Year2:</p><ul><li><p>Bookvalue:</p></li></ul></li><li><p>Year 2:</p><ul><li><p>Book value:24,000 - $9,600 = $14,400</p></li><li><p>Year2Depreciation:</p></li><li><p>Year 2 Depreciation:14,400 \times 40\% = $5,760</p></li></ul></li><li><p>Year3:</p><ul><li><p>Bookvalue:</p></li></ul></li><li><p>Year 3:</p><ul><li><p>Book value:14,400 - $5,760 = $8,640</p></li><li><p>Year3Depreciation:</p></li><li><p>Year 3 Depreciation:8,640 \times 40\% = $3,456</p></li></ul></li><li><p>Thismethoddoesnotusetheresidualvalueuntilthelastyear.</p></li></ul><h4collapsed="false"seolevelmigrated="true">ComparisonofDepreciationMethods</h4><ul><li><p>Aftertheasset′susefullife,thetotaldepreciationequalsthedepreciablecost.</p></li><li><p>Straight−line:Constantdepreciationexpenseeachyear.</p></li><li><p>Unitsofactivity:Depreciationdependsonusage.</p></li><li><p>Double−declining:Higherdepreciationinearlieryears.</p></li></ul><h4collapsed="false"seolevelmigrated="true">SummaryofDepreciationMethods</h4><tablestyle="min−width:100px"><colgroup><colstyle="min−width:25px"><colstyle="min−width:25px"><colstyle="min−width:25px"><colstyle="min−width:25px"></colgroup><tbody><tr><thcolspan="1"rowspan="1"><p>Feature</p></th><thcolspan="1"rowspan="1"><p>Straight−Line</p></th><thcolspan="1"rowspan="1"><p>UnitsofActivity</p></th><thcolspan="1"rowspan="1"><p>Double−DecliningBalance</p></th></tr><tr><tdcolspan="1"rowspan="1"><p>UsefulLife</p></td><tdcolspan="1"rowspan="1"><p>Years</p></td><tdcolspan="1"rowspan="1"><p>Units(Hours,Miles,Quantity)</p></td><tdcolspan="1"rowspan="1"><p>Years</p></td></tr><tr><tdcolspan="1"rowspan="1"><p>DepreciableCost</p></td><tdcolspan="1"rowspan="1"><p>Cost−ResidualValue</p></td><tdcolspan="1"rowspan="1"><p>Cost−ResidualValue</p></td><tdcolspan="1"rowspan="1"><p>Cost−ResidualValue</p></td></tr><tr><tdcolspan="1"rowspan="1"><p>DepreciationRate</p></td><tdcolspan="1"rowspan="1"><p></p></li></ul></li><li><p>This method does not use the residual value until the last year.</p></li></ul><h4 collapsed="false" seolevelmigrated="true">Comparison of Depreciation Methods</h4><ul><li><p>After the asset's useful life, the total depreciation equals the depreciable cost.</p></li><li><p>Straight-line: Constant depreciation expense each year.</p></li><li><p>Units of activity: Depreciation depends on usage.</p></li><li><p>Double-declining: Higher depreciation in earlier years.</p></li></ul><h4 collapsed="false" seolevelmigrated="true">Summary of Depreciation Methods</h4><table style="min-width: 100px"><colgroup><col style="min-width: 25px"><col style="min-width: 25px"><col style="min-width: 25px"><col style="min-width: 25px"></colgroup><tbody><tr><th colspan="1" rowspan="1"><p>Feature</p></th><th colspan="1" rowspan="1"><p>Straight-Line</p></th><th colspan="1" rowspan="1"><p>Units of Activity</p></th><th colspan="1" rowspan="1"><p>Double-Declining Balance</p></th></tr><tr><td colspan="1" rowspan="1"><p>Useful Life</p></td><td colspan="1" rowspan="1"><p>Years</p></td><td colspan="1" rowspan="1"><p>Units (Hours, Miles, Quantity)</p></td><td colspan="1" rowspan="1"><p>Years</p></td></tr><tr><td colspan="1" rowspan="1"><p>Depreciable Cost</p></td><td colspan="1" rowspan="1"><p>Cost - Residual Value</p></td><td colspan="1" rowspan="1"><p>Cost - Residual Value</p></td><td colspan="1" rowspan="1"><p>Cost - Residual Value</p></td></tr><tr><td colspan="1" rowspan="1"><p>Depreciation Rate</p></td><td colspan="1" rowspan="1"><p> RAC{1}{Useful Life}</p></td><tdcolspan="1"rowspan="1"><p></p></td><td colspan="1" rowspan="1"><p> RAC{Cost - Residual Value}{Total Units of Activity}</p></td><tdcolspan="1"rowspan="1"><p></p></td></tr><tr><tdcolspan="1"rowspan="1"><p>DepreciationExpense</p></td><tdcolspan="1"rowspan="1"><p>Constant</p></td><tdcolspan="1"rowspan="1"><p>Changesbasedonusage</p></td><tdcolspan="1"rowspan="1"><p>Declining</p></td></tr></tbody></table><h4collapsed="false"seolevelmigrated="true">PartialYearDepreciation</h4><ul><li><p>Ifanassetispurchasedmid−year,depreciationisprorated.</p></li><li><p>Ifpurchasedwithinthefirst15daysofthemonth,treatitaspurchasedonthe1stofthemonth;otherwise,treatitaspurchasedonthefirstdayofthenextmonth.</p></li><li><p>Straight−line:Proratebasedonthenumberofmonthstheassetisinservice.</p></li><li><p>Unitsofactivity:Proratetheactivityrate.</p></li></ul><h4collapsed="false"seolevelmigrated="true">RevisionofDepreciationEstimates</h4><ul><li><p>Businessescanreviseresidualvalueorusefullifeestimates.</p></li><li><p>Newestimatesareusedgoingforward;priordepreciationisnotadjusted.</p></li></ul><h4collapsed="false"seolevelmigrated="true">DiscardingorDisposalofFixedAssets</h4><ul><li><p>Removeassetandaccumulateddepreciationfromtheledger.</p></li><li><p>Iftheassetisnotfullydepreciated,makeadepreciationentryfirst.</p></li><li><p>Iftheassetisnotfullydepreciated,theremaybealossondisposal.</p></li></ul><h4collapsed="false"seolevelmigrated="true">SellingFixedAssets</h4><ul><li><p>DebitAccumulatedDepreciationandcredittheFixedAssetaccounttoremovethemfromthebooks.</p></li><li><p>Debitcashfortheamountreceivedfromthesale.</p></li><li><p>Gain:Sellingpriceexceedsbookvalue.</p></li><li><p>Loss:Sellingpriceislessthanbookvalue.</p></li></ul><p></p><h5collapsed="false"seolevelmigrated="true">AccountingforDepreciation:KeyConcepts</h5><ul><li><p>Fixedassetslosetheirabilitytoprovideserviceovertimeduetofactorslikewearandtear,obsolescence,andinadequacy.Thisdeclineinservicepotentialisakeyaspectofdepreciation.</p></li><li><p>Thislossoffunctionalityisrecordedasanexpensetomatchthecostoftheassetwiththerevenueitgenerates.Thisfollowsthematchingprincipleinaccounting.</p></li><li><p>Journalentriesaremademonthlyorasadjustingentriesattheendoftheyeartoensurethatfinancialstatementsaccuratelyreflectthedepreciationexpensefortheperiod.</p></li></ul><h5collapsed="false"seolevelmigrated="true">JournalEntryforDepreciation</h5><ul><li><p>DebitDepreciationExpense:Thisincreasesthedepreciationexpenseaccount,whichisreportedontheincomestatement.</p></li><li><p>CreditAccumulatedDepreciation(acontraassetaccount):Thisaccountreducesthebookvalueoftheassetonthebalancesheet.Itrepresentsthetotaldepreciationtakenontheassetsinceitwasplacedinservice.</p></li><li><p>Landistheonlyfixedassetthatdoesnotdepreciate;itappreciatesinvalue.Landhasanunlimitedlifeanddoesnotwearoutorbecomeobsolete.</p></li></ul><h5collapsed="false"seolevelmigrated="true">FactorsofDepreciation</h5><ul><li><p>PhysicalDepreciation:Wearandtearduetouseorexposure(e.g.,weather).Thisincludesphysicaldeteriorationanddamagefromuse.</p></li><li><p>FunctionalDepreciation:Assetnolongerperformsasintended(e.g.,anoutdatedcomputer).Thiscanbeduetoobsolescenceorinadequacy.</p></li><li><p>Assetscanexperiencebothtypesofdepreciationsimultaneously,leadingtoafasterdeclineintheirservicepotential.</p></li></ul><h5collapsed="false"seolevelmigrated="true">CommonMisunderstandingsAboutDepreciation</h5><ul><li><p>Depreciationdoes<strong>NOT</strong>measureadeclineinmarketvalue.Marketvalueisinfluencedbysupplyanddemand,whicharenotdirectlyrelatedtodepreciation.</p></li><li><p>Depreciationistheallocationoftheasset′scosttoexpenseoveritsusefullife.Itisasystematicandrationalwaytodistributethecostoftheassetovertheperiodsitbenefits.</p></li><li><p>BookValue:Originalcostlessaccumulateddepreciation;rarelyequalsmarketvalue.−</p></td><td colspan="1" rowspan="1"><p></p></td></tr><tr><td colspan="1" rowspan="1"><p>Depreciation Expense</p></td><td colspan="1" rowspan="1"><p>Constant</p></td><td colspan="1" rowspan="1"><p>Changes based on usage</p></td><td colspan="1" rowspan="1"><p>Declining</p></td></tr></tbody></table><h4 collapsed="false" seolevelmigrated="true">Partial Year Depreciation</h4><ul><li><p>If an asset is purchased mid-year, depreciation is prorated.</p></li><li><p>If purchased within the first 15 days of the month, treat it as purchased on the 1st of the month; otherwise, treat it as purchased on the first day of the next month.</p></li><li><p>Straight-line: Prorate based on the number of months the asset is in service.</p></li><li><p>Units of activity: Prorate the activity rate.</p></li></ul><h4 collapsed="false" seolevelmigrated="true">Revision of Depreciation Estimates</h4><ul><li><p>Businesses can revise residual value or useful life estimates.</p></li><li><p>New estimates are used going forward; prior depreciation is not adjusted.</p></li></ul><h4 collapsed="false" seolevelmigrated="true">Discarding or Disposal of Fixed Assets</h4><ul><li><p>Remove asset and accumulated depreciation from the ledger.</p></li><li><p>If the asset is not fully depreciated, make a depreciation entry first.</p></li><li><p>If the asset is not fully depreciated, there may be a loss on disposal.</p></li></ul><h4 collapsed="false" seolevelmigrated="true">Selling Fixed Assets</h4><ul><li><p>Debit Accumulated Depreciation and credit the Fixed Asset account to remove them from the books.</p></li><li><p>Debit cash for the amount received from the sale.</p></li><li><p>Gain: Selling price exceeds book value.</p></li><li><p>Loss: Selling price is less than book value.</p></li></ul><p></p><h5 collapsed="false" seolevelmigrated="true">Accounting for Depreciation: Key Concepts</h5><ul><li><p>Fixed assets lose their ability to provide service over time due to factors like wear and tear, obsolescence, and inadequacy. This decline in service potential is a key aspect of depreciation.</p></li><li><p>This loss of functionality is recorded as an expense to match the cost of the asset with the revenue it generates. This follows the matching principle in accounting.</p></li><li><p>Journal entries are made monthly or as adjusting entries at the end of the year to ensure that financial statements accurately reflect the depreciation expense for the period.</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Journal Entry for Depreciation</h5><ul><li><p>Debit Depreciation Expense: This increases the depreciation expense account, which is reported on the income statement.</p></li><li><p>Credit Accumulated Depreciation (a contra asset account): This account reduces the book value of the asset on the balance sheet. It represents the total depreciation taken on the asset since it was placed in service.</p></li><li><p>Land is the only fixed asset that does not depreciate; it appreciates in value. Land has an unlimited life and does not wear out or become obsolete.</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Factors of Depreciation</h5><ul><li><p>Physical Depreciation: Wear and tear due to use or exposure (e.g., weather). This includes physical deterioration and damage from use.</p></li><li><p>Functional Depreciation: Asset no longer performs as intended (e.g., an outdated computer). This can be due to obsolescence or inadequacy.</p></li><li><p>Assets can experience both types of depreciation simultaneously, leading to a faster decline in their service potential.</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Common Misunderstandings About Depreciation</h5><ul><li><p>Depreciation does <strong>NOT</strong> measure a decline in market value. Market value is influenced by supply and demand, which are not directly related to depreciation.</p></li><li><p>Depreciation is the allocation of the asset's cost to expense over its useful life. It is a systematic and rational way to distribute the cost of the asset over the periods it benefits.</p></li><li><p>Book Value: Original cost less accumulated depreciation; rarely equals market value.-Book Value = Original Cost - Accumulated Depreciation</p></li><li><p>Depreciationdoes<strong>NOT</strong>providecashtoreplacetheasset;it′sanon−cashtransaction.Depreciationexpensereducesnetincome,whichcanaffectretainedearnings,butitdoesnotinvolveanoutflowofcash.</p></li></ul><h5collapsed="false"seolevelmigrated="true">ElementsNeededtoComputeDepreciationExpense</h5><ul><li><p>InitialCost:Purchasepricepluscoststogettheassetreadyforuse.Thesecostsincludetransportation,installation,andanyotherexpensesnecessarytomaketheassetoperational.</p></li><li><p>UsefulLife:Estimatedtimetheassetwillbeusedinoperations.Thisisanestimateandcanbeinfluencedbyfactorssuchasmaintenance,usage,andtechnologicaladvancements.</p></li><li><p>ResidualValue(SalvageValue):Estimatedvalueoftheassetattheendofitsusefullife.Thisistheamountthecompanyexpectstoreceivewhendisposingoftheasset.</p></li></ul><h5collapsed="false"seolevelmigrated="true">KeyDefinitions</h5><ul><li><p><strong>InitialCost</strong>:Purchaseprice+costsincurredtogettheassetreadyforuse.Thisisthetotalcostofacquiringtheassetandpreparingitforitsintendeduse.</p></li><li><p><strong>UsefulLife</strong>:Estimatedtimeassetwillbeusedinbusinessoperations;canvarybasedonusage.Factorssuchastechnologicaladvancements,maintenancepolicies,andintensityofuseaffecttheestimation.</p></li><li><p><strong>ResidualValue</strong>:Estimatedvalueoftheassetattheendofitsusefullife,alsoknownassalvagevalue,scrapvalue,ortrade−invalue.It′stheamountthecompanyexpectstorecoverwhendisposingoftheasset.</p></li><li><p><strong>DepreciableCost</strong>:Initialcostminusresidualvalue.−</p></li><li><p>Depreciation does <strong>NOT</strong> provide cash to replace the asset; it's a non-cash transaction. Depreciation expense reduces net income, which can affect retained earnings, but it does not involve an outflow of cash.</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Elements Needed to Compute Depreciation Expense</h5><ul><li><p>Initial Cost: Purchase price plus costs to get the asset ready for use. These costs include transportation, installation, and any other expenses necessary to make the asset operational.</p></li><li><p>Useful Life: Estimated time the asset will be used in operations. This is an estimate and can be influenced by factors such as maintenance, usage, and technological advancements.</p></li><li><p>Residual Value (Salvage Value): Estimated value of the asset at the end of its useful life. This is the amount the company expects to receive when disposing of the asset.</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Key Definitions</h5><ul><li><p><strong>Initial Cost</strong>: Purchase price + costs incurred to get the asset ready for use. This is the total cost of acquiring the asset and preparing it for its intended use.</p></li><li><p><strong>Useful Life</strong>: Estimated time asset will be used in business operations; can vary based on usage. Factors such as technological advancements, maintenance policies, and intensity of use affect the estimation.</p></li><li><p><strong>Residual Value</strong>: Estimated value of the asset at the end of its useful life, also known as salvage value, scrap value, or trade-in value. It's the amount the company expects to recover when disposing of the asset.</p></li><li><p><strong>Depreciable Cost</strong>: Initial cost minus residual value.-Depreciable Cost = Initial Cost - Residual Value</p></li></ul><h5collapsed="false"seolevelmigrated="true">DepreciationMethods</h5><ul><li><p>Straight−LineMethod:Allocatesthecostevenlyovertheasset′susefullife.</p></li><li><p>UnitsofActivityMethod:Allocatesthecostbasedonactualuseoroutput.</p></li><li><p>Double−DecliningBalanceMethod:Anacceleratedmethodthatallocatesmorecostintheearlyyearsoftheasset′slife.</p></li><li><p>Companiescanusedifferentmethodsfordifferentassetsdependingonthenatureoftheassetanditsuseinoperations.Themethodchosenshouldreflectthepatterninwhichtheasset′seconomicbenefitsareconsumed.</p></li></ul><h5collapsed="false"seolevelmigrated="true">Straight−LineMethod</h5><ul><li><p>Easiestmethod;samedepreciationexpenseeachyear.Thisisappropriatewhentheassetcontributesevenlytorevenuegenerationoveritslife.</p></li><li><p>Formula:</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Depreciation Methods</h5><ul><li><p>Straight-Line Method: Allocates the cost evenly over the asset's useful life.</p></li><li><p>Units of Activity Method: Allocates the cost based on actual use or output.</p></li><li><p>Double-Declining Balance Method: An accelerated method that allocates more cost in the early years of the asset's life.</p></li><li><p>Companies can use different methods for different assets depending on the nature of the asset and its use in operations. The method chosen should reflect the pattern in which the asset's economic benefits are consumed.</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Straight-Line Method</h5><ul><li><p>Easiest method; same depreciation expense each year. This is appropriate when the asset contributes evenly to revenue generation over its life.</p></li><li><p>Formula:Depreciation Expense = \frac{Initial Cost - Residual Value}{Useful Life}</p></li><li><p>Journalentry:DebitDepreciationExpense,CreditAccumulatedDepreciation.Thisentryismadeattheendofeachaccountingperiod.</p></li><li><p>AccumulatedDepreciationisacontraassetaccount,reducingtheasset′sbookvalueonthebalancesheet.</p></li></ul><p>ExampleofStraight−LineMethod</p><ul><li><p>Initialcost:</p></li><li><p>Journal entry: Debit Depreciation Expense, Credit Accumulated Depreciation. This entry is made at the end of each accounting period.</p></li><li><p>Accumulated Depreciation is a contra asset account, reducing the asset's book value on the balance sheet.</p></li></ul><p>Example of Straight-Line Method</p><ul><li><p>Initial cost:24,000

    • Residual value: 2,000</p></li><li><p>Usefullife:5years</p></li><li><p>Depreciablecost:2,000</p></li><li><p>Useful life: 5 years</p></li><li><p>Depreciable cost:22,000

    • Annual depreciation expense: \frac{22,000}{5} = $4,400- Monthly depreciation expense: \frac{4,400}{12} = $367

    Straight Line Rate

    • Formula: Straight Line Rate = \frac{1}{Useful Life}</p></li><li><p>Usingthepreviousexample,thestraightlinerate</p></li><li><p>Using the previous example, the straight line rate=\frac{1}{5} = 20 \%.ThenyoumultiplythatratebytheDepreciablebase:−. Then you multiply that rate by the Depreciable base:-0.20 \times 22,000 = 4,400</p></li></ul><h5collapsed="false"seolevelmigrated="true">UnitsofActivityMethod</h5><ul><li><p>Depreciationexpensevariesbasedonassetusage(hours,miles,quantityproduced).Thismethodissuitablewhentheasset′slifeisbestmeasuredintermsofitsoutputorusageratherthantime.</p></li><li><p>AlsoknownasUnitsofProductionorUnitsofOutputMethod.</p></li><li><p>Two−stepcalculation:1.CalculateDepreciationperUnit:</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Units of Activity Method</h5><ul><li><p>Depreciation expense varies based on asset usage (hours, miles, quantity produced). This method is suitable when the asset's life is best measured in terms of its output or usage rather than time.</p></li><li><p>Also known as Units of Production or Units of Output Method.</p></li><li><p>Two-step calculation:1. Calculate Depreciation per Unit:\frac{Cost - Residual Value}{Total Estimated Units of Activity}</p><olstart="2"><li><p>MultiplybyUnitsofActivityforthePeriod:</p><ol start="2"><li><p>Multiply by Units of Activity for the Period:Depreciation Per Unit \times Units of Activity</p></li></ol></li></ul><p>ExampleofUnitsofActivityMethod</p><ul><li><p>Initialcost:</p></li></ol></li></ul><p>Example of Units of Activity Method</p><ul><li><p>Initial cost:24,000

    • Residual value: 2,000</p></li><li><p>Totalestimatedunitsofactivity:10,000hours</p></li><li><p>Depreciationperunit:2,000</p></li><li><p>Total estimated units of activity: 10,000 hours</p></li><li><p>Depreciation per unit:\frac{22,000}{10,000} = $2.20 \text{ per hour}</p></li><li><p>Year1activity:2,100hours−Year1Depreciation:</p></li><li><p>Year 1 activity: 2,100 hours- Year 1 Depreciation:2.20 \times 2,100 = $4,620</p></li><li><p>Year2activity:1,500hours−Year2Depreciation:</p></li><li><p>Year 2 activity: 1,500 hours- Year 2 Depreciation:2.20 \times 1,500 = $3,300</p></li><li><p>Year3activity:2,600hours−Year3Depreciation:</p></li><li><p>Year 3 activity: 2,600 hours- Year 3 Depreciation:2.20 \times 2,600 = $5,720</p></li></ul><h5collapsed="false"seolevelmigrated="true">Double−DecliningBalanceMethod</h5><ul><li><p>Higherdepreciationexpenseinearlyyears;declinesovertime.Thisisappropriatewhentheassetismoreproductiveorefficientinitsearlyyears.</p></li><li><p>AlsoknownasAcceleratedDepreciationMethod.</p></li><li><p>Three−stepcalculation:1.DetermineStraight−LineRate:</p></li></ul><h5 collapsed="false" seolevelmigrated="true">Double-Declining Balance Method</h5><ul><li><p>Higher depreciation expense in early years; declines over time. This is appropriate when the asset is more productive or efficient in its early years.</p></li><li><p>Also known as Accelerated Depreciation Method.</p></li><li><p>Three-step calculation:1. Determine Straight-Line Rate:\frac{1}{Useful Life}</p><olstart="2"><li><p>DoubletheRate:</p><ol start="2"><li><p>Double the Rate:2 \times Straight Line Rate</p></li><li><p>ComputeDepreciationExpense:</p></li><li><p>Compute Depreciation Expense:Double Declining Rate \times Book Value</p></li></ol></li><li><p>Thebookvalueiscalculatedastheinitialcostminusaccumulateddepreciation.</p></li></ul><p>ExampleofDouble−DecliningBalanceMethod</p><ul><li><p>Initialcost:</p></li></ol></li><li><p>The book value is calculated as the initial cost minus accumulated depreciation.</p></li></ul><p>Example of Double-Declining Balance Method</p><ul><li><p>Initial cost:24,000

    • Residual value: 2,000</p></li><li><p>Usefullife:5years−Straight−linerate:2,000</p></li><li><p>Useful life: 5 years- Straight-line rate:\frac{1}{5} = 20\%</p><ul><li><p>Double−decliningrate:</p><ul><li><p>Double-declining rate:20\% \times 2 = 40\%</p></li></ul></li><li><p>Year1:−Bookvalue:</p></li></ul></li><li><p>Year 1:- Book value:24,000 (Initial Cost)

      • Year 1 Depreciation: 24,000 \times 40\% = $9,600

    • Year 2:- Book value: 24,000 - $9,600 = $14,400

      • Year 2 Depreciation: 14,400 \times 40\% = $5,760

    • Year 3:- Book value: 14,400 - $5,760 = $8,640

      • Year 3 Depreciation: 8,640 \times 40\% = $3,456

    • This method does not use the residual value until the last year. Depreciation should not be taken below the residual value.

    Comparison of Depreciation Methods

    • After the asset's useful life, the total depreciation equals the depreciable cost. This ensures that the entire cost of the asset, less its residual value, is expensed over its life.

    • Straight-line: Constant depreciation expense each year, providing a stable and predictable expense.

    • Units of activity: Depreciation depends on usage, matching expense with actual asset use.

    • Double-declining: Higher depreciation in earlier years, reflecting higher productivity or efficiency.

    Summary of Depreciation Methods

    Feature

    Straight-Line

    Units of Activity

    Double-Declining Balance

    Useful Life

    Years

    Units (Hours, Miles, Quantity)

    Years

    Depreciable Cost

    Cost - Residual Value

    Cost - Residual Value

    Cost - Residual Value

    Depreciation Rate

    1UsefulLife\frac{1}{Useful Life}

    Cost−ResidualValueTotalUnitsofActivity\frac{Cost - Residual Value}{Total Units of Activity}

    Depreciation Expense

    Constant

    Changes based on usage

    Declining

    Partial Year Depreciation

    • If an asset is purchased mid-year, depreciation is prorated. This ensures that only the portion of the year the asset was in service is depreciated.

    • If purchased within the first 15 days of the month, treat it as purchased on the 1st of the month; otherwise, treat it as purchased on the first day of the next month. This is a common convention for simplicity.

    • Straight-line: Prorate based on the number of months the asset is in service. For example, if an asset is purchased on April 1, only 9 months of depreciation would be taken in the first year.

    • Units of activity: Prorate the activity rate based on the actual units of activity during the partial year.

    Revision of Depreciation Estimates

    • Businesses can revise residual value or useful life estimates. These revisions are made when new information indicates that the original estimates are no longer accurate.

    • New estimates are used going forward; prior depreciation is not adjusted. This prospective approach avoids the need to restate prior financial statements.

    Discarding or Disposal of Fixed Assets

    • Remove asset and accumulated depreciation from the ledger. This involves debiting accumulated depreciation and crediting the asset account.

    • If the asset is not fully depreciated, make a depreciation entry first to bring the asset up to date.

    • If the asset is not fully depreciated, there may be a loss on disposal. This loss is recognized on the income statement.

    Selling Fixed Assets

    • Debit Accumulated Depreciation and credit the Fixed Asset account to remove them from the books. This eliminates the asset and its associated depreciation from the balance sheet.

    • Debit cash for the amount received from the