gillam & snader, exper. rating

《gillam & snader, exper. rating》由会员上传分享，免费在线阅读，更多相关内容在工程资料-天天文库。

1、2014-CAS8§1Gillam&Snader,ExperienceRatingHCM5/13/14,Page8Section1,Gillam&Snader,Part1,ExperienceRating2OutlineofGillamandSnader:3Part1.ExperienceRatingA.NoSplitExperienceRating1.TheBasicFormulaforexperiencerating2.AnalysisandInterpretation3.Aspecialad

2、aptation,TheSuretyAssociationPlans4.Credibility5.CredibilityCriteria6.TheKFormulaforExperienceRatingB.SingleSplitandMulti-SplitPlans1.TheSplitPlanFormula2.AnalysisandInterpretationC.PerrymanʼsFirstFormula1.TheThreeCases2.CredibilitiesforPerrymanʼsFirs

3、tFormulaD.TheRevisedExperienceRatingPlan4E.PrimaryValueFormulas1.SingleSplitPlan2.The1940Multi-SplitPlan3.The1961Multi-SplitPlanPart2.RetrospectiveRatingPart3.RelatedTopicsMoreimportantsectionsanditemsinbold.Lessimportantsectionsanditemsinitalics.2“Fu

4、ndamentalsofIndividualRiskRating”byWilliamR.GillamandRichardH.Snader.ForPart1,seeCASLearningObjectives:B1andB33Parts2and3arecoveredinlatersectionsofthisstudyguide.4Thisreferstothe1991versionoftheNCCIW.C.ExperienceRatingPlan.Seethesyllabusreadingforrev

5、isionstothisplanmadein1998.2014-CAS8§1Gillam&Snader,ExperienceRatingHCM5/13/14,Page9FormulasandImportantIdeas:SplitPlan:eachlossisdividedintoprimaryandexcesspieces.Primary⇔Frequency.Excess⇔Severity.SingleSplitPlan:Onesplitpointfordividinglossesintopri

6、maryandexcesselements.CurrentNCCIplanforWorkersCompensationissinglesplit.CurrentISOplanforCGLisnosplit.Multi-SplitPlan:lossesmaybethoughtofasbeingdividedintoincrements,andadecreasingportionofeachsuccessiveincrementisconsideredtobeprimary.Forano-splitp

7、lan:ZA+(1-Z)E(A−E)M==1+Z.EEM=ExperienceModificationZ=CredibilityA=ActualorratedlossesfortheriskE=ExpectedLossesfortheriskZATheSuretyAssociationPlans:M=(1-Z)+,whereP=StandardPremium.E/PPEZ=,whereE=ExpectedLossesandKEissomefunctionofE,possiblyaconstan

8、t.E+KEA+KForKEequaltoaconstant,M=.E+KThreecriteriaforexperienceratingcredibilities:1.Credibilityisnotlessthanzeronorgreaterthanunity.0≤Z≤1.dZ2.Credibilityincreasesasthesizeofriskincreases.≥0.dE3.Asthesizeofriskincreases,thepercentagechargef