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目錄一、考情分二、專業(yè)詞抽樣風險:Sampling非抽樣風險:Non-sampling信賴不足風險:Underreliancerisk信賴過度風險:Overreliancerisk控制測試:Testsofcontrol控制有效性:Effectivenessof重大錯報:Material實際水平:Actual審計結(jié)果:Audit誤拒風險:Rejectionrisk誤受風險:Acceptancerisk細節(jié)測試:Testofdetails樣本量:Samplessize具體目標:Specific統(tǒng)計抽樣:Statistical成本效益:Cost的充分性:Sufficiencyofthe可接受的抽樣風險:Acceptablesamplingrisk可接受誤差(可誤差):Acceptableerror認定層次:Assertionlevel總體變異性:Population預計的總體誤差:Expectedpopulation總體規(guī)模:Population專業(yè)判斷:Professional上限:Upper風險系數(shù):Risk可偏差率:Tolerabledeviation修正重大錯報風險評估程度:Modifymaterialmisstatementriskassessment實質(zhì)性程序:Substantive調(diào)整賬目:Adjustbook賬面金額:Book實際金額:Actualmonetaryunit零余額:Zero負余額:Negative屬性抽樣:Attribute變量抽樣:Variable三、重點、Samplingriskandnon-sampling抽樣風險(由于采用抽樣而引起的風險)Samplingrisk(riskcausedbySamplingrisk:itistheriskarisingfromthepossibilitythattheCPA’sconclusion,basedonasample,maybedifferentfromtheconclusionthatwouldbereachediftheentirepopulationweresubjectedtothesameauditprocedure.ControlofsamplingSamplingriskisthepossibilitythatsamplesselectedmaynotcompleyrepresentthepopulation.Relationshipbetweensamplesizeandsamplingriskisopposite,thelargerthesamplesize,thelowerthesamplingriskis.Therefore,samplingriskalwaysexistsbecauseofsampling.抽樣風險的類型Typesofsamplingofcontrol.Overreliancerisk:theexpectedeffectivenessofcontrolishigherthantheactuallevel,riskassessedofmaterialmisstatementsislowerthantheactuallevel,therebyinfluencingtheauditeffectiveness(quality).Underreliancerisk:theexpectedeffectivenessofcontrolislowerthantheactuallevel,assessedriskofmaterialmisstatementsishigherthantheactuallevel,therebyinfluencingtheauditefficiency.②CPAismainlyfacedwithrejectionriskandacceptanceriskwhenconductingdetailedAcceptanceriskrefersthatCPAinfersthatthematerialmisstatementisnotexistedbutactuallyitisnot,therebyinfluencingtheauditeffectiveness(quality).RejectionriskrefersthatCPAinfersthatthematerialmisstatementisexistedbutactuallyitisnot,therebyinfluencingtheauditefficiency.Non-samplingriskrefersthepossiblefalsedecisionmadebyCPAbasedonreasonsnotrelatedtosamples.Followingcircumstancesmaycausenon-samplingriskin(1)會計師選擇了不適于實現(xiàn)特定目標的審計程序CPAperformsauditprocedureswhicharenotsuitableforthespecific(2)會計師選擇的總體不適合于測試目標ThepopulationselectedbyCPAisnotsuitableforthetestmisstatement),whichmakesCPAunabletofindthedeviationormisstatement;(4)CPAdoesnotadequayevaluatetheauditNon-samplingriskcannotbefied,butnon-samplingriskcanbereducedtoanacceptablelevelthroughapplicationofappropriatequalitycontrol&proceduresandproperguidance,supervisionandreviewofaudit,aswellastheappropriateimprovementtoCPApractice.CPAcanalsocarefullydesigntheirauditprocedurestominimizenon-samplingStatisticalsamplingandnon-statisticalSelectionbetweenstatisticalsamplingandnon-statisticalsamplingCostbenefitsaremainlyconsideredwhenchoosingbetweenstatisticalsamplingandnon-statisticalsamplingmethod.Disadvantagesofstatisticalsampling:statisticalsamplingmayincurextra(2)Advantagesofstatisticalsampling:samplingriskcanbemeasuredobjectively,andactuallycontrolledbyadjustingthesamplesize,whichisthemostimportantdifferentfromnon-statisticalsampling.StatisticalsamplinghelpsCPAtoefficientlydesignsamples,measurethesufficiencyoftheevidencesobtained,andevaluatethesamplingresults2.AuditsamplingandprofessionalProfessionaljudgmentisrequiredforCPAwhendesigning,implementingandsamplesnomatterthestatisticalsamplingornon-statisticalsamplingisIfthedesignofnon-statisticalsamplingisappropriate,itcanprovidethesameeffectiveresultasstatisticalsamplingdesignedproperly.Whenusingnon-statisticalsampling,CPAmustconsiderthesamplingriskandreduceittotheacceptablelevel,however,thesamplingriskcannotbeaccurayestimated.AttributesamplingandVariableAttributeAttributesamplingisastatisticalsamplingmethodusedtodrawconclusionsabouttheincidenceofaneventinthepopulation.2.VariableVariablesamplingisastatisticalsamplingmethodusedtodrawconclusionsaboutthepopulationamount.一般而言,屬性抽樣得出的結(jié)論與總體發(fā)生率有關(guān),而變量抽樣得出的結(jié)論與總體的金額有關(guān)。Generallyspeaking,theconclusiondrawnfromattributesamplingisrelatedtotheincidencerateofthepopulation,andtheconclusiondrawnfromvariablesamplingisrelatedtothepopulationamount.However,thereisanexception,thatis,monetaryunitsamplinginvariablesampling,andtheconclusiondrawnusingtheprincipleofattributesamplingisreflectedatamount.3.可偏差3.TolerabledeviationIncontroltesting,tolerabledeviationratereferstotheratethatdeviatesfromproscribedinternalcontrolsetbyCPA.Inanotherwords,itmeanstheumdeviationacceptedbyCPA.Ifthedeviationexceedsthatnumberthenitwouldreduceoreliminatetherelianceontheinternalcontrolprocedures.ApplicationofauditsamplingFactorsaffectthesamplesize:AcceptableoverrelianceoverrelianceriskacceptedbyCPA,thelargerthesamplesizeisneeded.可偏差2.TolerabledeviationTolerabledeviationrateisinoppositerelationshipwithsamplesize.WhendeterminingTheestimatedpopulationdeviationratechangesinthesamedirectionwiththesamplethesamplesizeisrequired.3.3.EstimatedpopulationdeviationForcontroltesting,whenconsideringthepopulationcharacteristics,CPAshouldofasmallnumberofitemsinthepopulation.4.總體規(guī)4.PopulationUnlessthepopulationsizeisverysmall,ithasnoinfluenceonthesampleThemorecomplexthecontrolprocedureis,themoresamplesareThesamplesizealsodependsonthetypeofcontroltested,usuallymoretestingareneededformanualcontrolthanthatofautomatedcontrol.5.其他因素??刂七\行的相關(guān)期間越長,需要測試的樣本越多,因為會計師需要對整個擬信賴5.Otherfactors.Thelongertheperiodofcontroloperationis,themoresamplesneedtobetested.BecauseCPAsneedtoobtainevidenceforthecontrolvalidityofthewholeperiodthatnnedtobetrusted.Ⅳ.ApplicationofauditsamplingincontrolStatisticalsamplingmethodsusedincontroltestusing–resultsofevaluationTheuseofstatisticalsamplingincontroltestingtoevaluatesamplingPopulationdeviationrate=samplingdeviationrate=samplingdeviation÷sampleConsideringsamplingUsingformula:upperlimitofpopulationdeviation=riskcoefficient÷sampleUsingtable:usingthesampleresultsevaluationtableEvaluationandconclusionofstatisticalsampling.Theupperlimitofpopulationdeviationrateislessthanthelimitoftolerabledeviationratesopopulationisacceptable.Theupperlimitofpopulationdeviationrateislowerthanbutclosetotolerablescope;Theupperlimitofpopulationdeviationrateisequaltoorhigherthantolerablelevel,andincreasethenumberofsubstantiveprocedures;ortestothercontrols,tosupportthennedriskassessmentlevelofmaterialmisstatements.Innon-statisticalsampling,theCPAwillalsousethedeviationrateofsamplesasthebestestimateofthedeviationrateofthepopulation.可偏差率相比較,以判斷總體是否可以接受。Butinanon-statisticalsampling,samplingriskcannotbemeasureddirectly.TheCPAusuallycomparesdeviationrateofsamples(i.e.,thedeviationrateofthepopulationUsingnon-statisticalsamplingmethodintestofcontrolstoevaluatesamplingPopulationdeviationrateofthepopulation=deviationrateofthesamples=deviationamountofthesamples/samplesize非統(tǒng)計抽樣的結(jié)果評價與結(jié)論(非統(tǒng)計抽樣無法量化抽樣風險Evaluationandconclusionofnon-statisticalsamplingresult(thesamplingriskofnon-statisticalsamplingcannotbefied):總體“可以接受”;樣本偏差率“低于但接近”可偏差率,總體“不可接受”;Ifdeviationrateofthesamplesishigherthanthetolerabledeviationrate,thepopulationcannotbeaccepted;ifdeviationrateofthesamplesissignificantlylowerthanthetolerabledeviationrate,thepopulationcanbeaccepted;ifdeviationrateofthesamplesislowerthanbutclosetothetolerabledeviationrate,thepopulationcannotbeacceptedDeviationrateofthesamplesislowerthanthetolerabledeviationrate,butthedifferenceisneithertoobignortoosmall,considerwhethertoacceptthepopulation;considerexpandingthesamplesizeinordertocollectfurtherevidence.V.ApplicationofauditsamplingintestofDeterminationofthesampleRegardlessoftheuseofstatisticalsamplingornon-statisticalsamplingmethod,size,usingprofessionaljudgmentandexperiencetodeterminethesamplesize.Usingthedeterminationtableofsample-5879SampleSizeofMonetaryUnitSamplinginTestofEstimatedmisstatementofthe/TolerableTolerablemisstatement/Bookvalueof-5879Usingthe錯報之比為0.20,會計師確定樣本規(guī)模為:Forexample,theriskofincorrectacceptancedeterminedbyCPAis10%,theratioofofthepopulation/tolerablemisstatementis0.2,thesamplesizedeterminedbyCPAis:Usingtablemethod:Usingformulamethod:AssurancecoefficientwhendeterminingsamplesizeinmonetaryunitEstimatedmisstatementofthe/TolerableriskofincorrectUsestatisticalsamplingmethodintestofdetailstoevaluatesamplingDeducemisstatementofthepopulation(traditionalvariable①均值法MeanMeanofsampleapprovedamount=Approvedamountofsample/SampleEstimationofpopulationvalue=Meanofsampleapprovedamount×PopulationMisstatementofpopulationdeduced=Estimationofpopulationvalue-Bookvalueofthe②差額法DifferenceMisstatementofpopulationdeduced=Averagemisstatementofsample×PopulationEstimatedpopulationamount=Bookvalueofpopulation–Misstatementofpopulation③比率法RatioRatio=Approvedamountofsample/BookvalueofEstimatedpopulationamount=Bookvalueofthepopulation×RatioMisstatementofpopulationdeduced=Bookvalueofthepopulation-EstimatedpopulationEvaluationandconclusionofthestatisticalsampling可錯報,總體“可以接受”。Ifupperlimitofthepopulationmisstatementexceedsorisequaltotolerablemisstatementamount,thepopulationcannotbeaccepted;Ifthetransactionoraccountbalancetestedhasmaterialmisstatement,CPAshouldsuggesttoinvestigatethemisstatementandadjustbookrecordwhennecessary;Ifupperlimitofthepopulationmisstatementislessthantolerablemisstatementamount,thepopulationcanbeacceptedVI.MonetaryunitAdvantagesofmonetaryunitaccountanttocalculatethesamplingsizeandassessthesampleresults.Therefore,itisusuallyeasiertobeusedcomparedwithtraditionalvariablesampling.Whendeterminingthesamplesizeofmonetaryunitsampling,itisnotnecessarytoconsiderthecharacteristicsofpopulation(e.g.populationdeviation).Becauseeachmonetaryunitinthepopulationhasthesamesize,whilethesamplesizeintraditionalvariablesamplingiscalculatedbasedonthedeviationorstandarddeviationofcommoncharacteristicsofamounthasaproportionalrelationshipsothereisnoneedtoreducedeviationthroughstratification.Whileintraditionalvariablesampling,itisusuallynecessarytostratifypopulationtoreducesamplesize.Whenusingsystemsamplingmethodtoselectsampleinthemonetaryunitsampling,automaticallyidentifyallindividualmajoritems,namelytheitemwillbecertaintobesizeofmonetaryunitsamplingissmallerthanthatoftraditionalvariablesampling.obtainingcompletedpopulation.DisadvantagesofmonetaryunitMonetaryunitsamplingisnotsuitablefortheunderstatementofpopulation,becausetheprobabilityofbeingchosenforasmallbookvaluebutgrosslyunderstatedprojectislow.Ifunderstatementisdiscoveredinmonetaryunitsampling,certifiedpublicaccountantsneedspecialconsiderationwhenevaluatingsamples.Whenmisstatementsareidentified,iftherisklevelisfixed,monetaryunitsamplingmayoverestimatetheeffectofsamplingriskwhenevaluatingsamples,whichmayleadtothatCPAmayrefuseanacceptablebookvalueofthepopulation.CPAneedstoaccumulatetotalamountonebyoneinmonetaryunitsampling,inordertodeterminewhetherthepopulationiscompleteandconsistentwiththefinancialstatementsofauditing(5)Whenthevolumeofmisstatementsinthepopulationincrease,thesamplingsizeofmonetaryunitsamplingwillalsoincrease.Underthesesituations,thesamplesizeofmonetaryunitsamplingmaybegreaterthanthatoftraditionalvariablesampling.CalculatetheupperlimitofpopulationmisstatementsinmonetaryunitIfnomisstatementisdiscoveredinthesample,theupperlimitofpopulationmisstatements=Assurancecoefficient×Samplinginterval.Forexample,riskofincorrectacceptanceis5%,samplingintervalis3000Yuan(thesamebelow),CPAshaven'tfoundany×3000),whichiscalledbasicIfamisstatementisfoundinalogicalunitthatislargerthanorequaltothesampleinterval,nomatterwhetherthepercentageofthemisstatementis100%,theupperlimitofpopulationmisstatements=factualmisstatement+basicaccuracy.Forexample,CPAfoundonemisstatementinsample,thebookvalueoftheitemis5000Yuan,approvedamountis4000Yuan,theupperlimitofpopulationmisstatementsis10000YuanIfamisstatementwith100%misstatementpercentageinsample(excludinglogicalunitthatislargerthanorequaltothesampleinterval)isfound,theupperlimitofpopulationmisstatements=Assurancecoefficient×Samplinginterval.Forexample,CPAfoundonemisstatementinsample,thebookvalueoftheitemis20Yuan,approvedamountis0Yuan,thentheupperlimitofpopulationmisstatementsis14250Yuan(4)Ifamisstatementwiththemisstatementpercentagelowerthan100%in(excludinglogicalunitthatislargerthanorequaltothesampleinterval)isfound,CPAshouldfirstcalculateprojectedmisstatements,thenafrrangingprojectedmisstatementsindescendingorderaccordingtoamount,multiplytheincrementaltyofcorrespondingassurancecoefficientrespectively(i.e.Underthegivenlevelofriskofincorrectacceptance,thedifferencebetweentheassurancecoefficientcorrespondingspecifiednumberofoverstatementmisstatementsandtheassurancecoefficientofaboveline),plusbasicaccuracy,calculatetheupperlimitofpopulationmisstatementsatlast.Theupperlimitofpopulationmisstatements=projectedmisstatements×incrementaltyofassurancecoefficient+basicaccuracy.Forexample,riskofincorrectacceptanceis5%,samplingintervalis3000Yuan,CPAfoundtwomisstatementsinsample,thebookvalueofaccountAis2000Yuan,approvedamountis1500Yuan,projectedmisstatementis750Yuan(500÷2000×3000);thebookvalueofaccountBis1000Yuan,auditedvalueis200Yuan,projectedmisstatementis2400Yuan(800÷1000×3000).將推斷錯報按金額降序排列后,由表可知,在5%的誤受風險水平下,賬戶A對應的保證系數(shù)增量Afterarrangingprojectmisstatementsindescendingorderaccordingtoamount,fromthetable,underthe5%levelofriskofincorrectacceptance,theincrementaltyofcorrespondingassurancecoefficientofaccountAis1.55,theincrementaltyofcorrespondingassurancecoefficientofaccountBis1.75.Therefore,theupperlimitofpopulationmisstatementsis14363Yuan(750×1.55+2400×1.75+3×3000)百分比低于100%的錯報。Iftherearebothlogicalunitswithbookvaluegreaterthanorequaltothesamplinginterval,andlogicalunitswithbookvaluelessthanthesamplinginterval,andinthelogicalis100%isdiscoveredandmisstatementwithmisstatementpercentagelessthan100%isalsodiscovered.Howtosolve?CPAcoulddivideallthesampleitemsintotwoThefirstgroupismadeupoflogicalunitswithbookvaluegreaterthanorequaltothesamplinginterval.CPAcouldcalculatethefactualmisstatementofitemsinthisgroup.第二組是賬面金額小于選樣間隔的邏輯單元,無論該組項目的錯報百分比是否為100%,會計Nomatterwhetherthemisstatementpercentageofitemsinthisgroupis100%,CPAshouldfirstcalculatetheprojectedmisstatementofeachitem,thenafterarrangingalltheprojectedmisstatementsindescendingorderaccordingtoamount,multiplytheincrementaltyofcorrespondingassurancecoefficientrespectively,andaddupthecalculationresults.Usethiscumulativeresulttoaddbasicaccuracy,andaddthefactualmisstatementinthefirstgroup,thenistheupperlimitofpopulationmisstatements.However,CPAsshouldalsosummarytheprojectedmisstatements(excludingthefactualmisstatementswhichhavebeenalreadycorrectedbytheauditee’smanagement)withotherfactualmisstatementsandprojectedmisstatements,toassesswhetherthefinancialstatementsasawholemaybematerialmisstated.四、同步系Incase(1),thestatement“CPAcanuseauditsamplinginallproceduresoftestsofcontrols”isinappropriate.Onlywhencontroloperationleavestrack,thenCPAcanperformauditsamplingtotesttheeffectivenessofinternalcontroloperation.第(2)項,“會計師將總體分為三層”不當。在進行控制測試時無需對總體進行分層Incase(2),thestatement“CPAshoulddividethepopulationinto3levelssub-populations”isinappropriate.Nopopulationstratificationisrequiredwhenperformingtestsofcontrols.Incase(3),thestatement“thesamplingmethodhaseffectonthenatureofauditproceduresperformed”isinappropriate.Theauditproceduresperformedinsamplesselectedareunrelatedtothesamplingmethodused.Incase(4),thestatement“thelargerthepopulationis,themoresamplesarerequired”isinappropriate.Intermsofoveralllargepopulation,thepopulationsizehasnoeffectonsamplesize.Incase(5),thestatement“thelowertheacceptablesamplingriskis,thelargerofsamplesisrequired”is率上限低于但接近可偏差率時,應考慮總體是否可以接受,并考慮是否需要擴大測試范圍。Incase(6),thestatement“whentheupperlimitofpopulationdeviationrateislowerthanbutclose

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