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1、2014-CAS8§18Gillam&Snader,OtherTopicsHCM5/13/14,Page1103Section18,Gillam&Snader,Part3,RelatedTopics806OutlineofGillamandSnader:807Part1.ExperienceRatingPart2.RetrospectiveRatingPart3.RelatedTopicsA.DeductibleandExcessInsurance1.TheLossEliminationRatio2.DiscountFormulaforDeductibleCoverage8083.Di
2、scountFormulaforExcessCoverage809a.Case1b.Case24.HigherOptionalDeductibles810B.WorkersCompensationEx-MedicalCoverage1.BasicAssumptions2.TheEx-MedicalDiscount3.AdjustmentUnderRetrospectiveRatingMoreimportantsectionsanditemsinbold.Lessimportantsectionsanditemsinitalics.806“FundamentalsofIndividual
3、RiskRating”byWilliamR.GillamandRichardH.Snader.ForPart3,seeCASLearningObjective:B7.807Parts1and2arecoveredinprevioussectionsofthisstudyguide.808Seealso“StudyNoteReadingonDeductibles,”byBrianZ.Brown&MichaelC.Schmitz,formerlyontheExam5syllabus.809ItisbettertostudythepricingofExcessPoliciesoutofthe
4、syllabusreadingbyTeng.810SeethesyllabusreadingbyTeng.2014-CAS8§18Gillam&Snader,OtherTopicsHCM5/13/14,Page1104FormulasandIdeas,Gillam&Snader,RelatedTopics:Deductiblesforliabilityinsurance:usuallysmallerretentions.Theinsurersettlesalllosses,andindemnifiestheinsuredforlossesinexcessoftheretention.E
5、xcessliabilityinsurance:higherretentions,forriskswantingtoself-insurethemajorityofclaims.Theinsurerisonlyresponsibleforinvestigatingandsettlingclaimswhichmightexceedtheretention.Todeterminethediscountondeductibleorexcesspolicies:1)DeterminetheLossEliminationRatio.2)Makingsomeassumptionsaboutthee
6、xpenses,determinethediscountcorrespondingtothislosseliminationratio.k=LossEliminationRatio=(LossesExpectedtobeEliminated)/(TotalExpectedLosses).Forastraightdeductible,insurerpaysnothingforlosseslessthantheretention,r,andpaysX-rforX>r.Lr+(N-n)rk==E[X∧r]/E[X],whereLN=Thetotalnumberofclaimsinthestu
7、dy.n=Thenumberofclaimsthatdonotexceedtheretention. L=Thetotallossesinthestudy.Lr=Lossesduetoclaimswhichdonotexceedtheretention.r=Theretention.Theproductofthelosseliminationratioandthesafetyfactor,fk,issometimesknownasthetemp