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  11.(9points)Afinancialreviewofthetermportfoliorevealsalowerlevelofprofitability
  fromthe5-yearleveltermproductthanoriginallyprojected.Youhavebeenaskedto
  re-pricethe5-yearleveltermproductforyourbrokerageanddirectresponsedistribution
  channels.
  (a)Comparetheeffecteachofthesedistributionchannelshasonthefollowing
  assumptions.
  (i)Mortality
  (ii)Lapse
  (iii)Interest
  (iv)Expense
  (b)Describeelementsofcompensationusedforbrokeragedistribution.
  (c)Thetermportfoliohasexperiencedlowerpolicypersistencythanexpected.
  (i)Describethefactorsthataffectpersistency.
  (ii)Recommendstepstoimprovepersistencyfortheproduct.
  COURSE8I:Fall2004-13-GOONTONEXTPAGE
  IndividualInsurance–Canada
  AfternoonSession
 
  12.(6points)XYZLifehasbeenexperiencingpoorsalesandalowerthanexpectedreturn
  onequity(ROE)ontheirFixedPremiumIndividualUniversalLife(UL)product.The
  followingtablesummarizestheassetsinXYZ’sportfolio:
  AssetAmount
  Cash$10,000
  AAARatedBonds$0
  AARatedBonds$0
  ARatedBonds$1,000,000
  BBRatedBonds$5,000,000
  CommonStock$10,000,000
  RealEstate$1,000,000
  CommercialMortgages$5,000,000
  ImpairedInvestments$0
  Assume:
  ?CurrentMCCSRratiois150%.
  ?XYZLifeguaranteesa4%creditedrate.
  ?Overthepastfouryears,themarkethasshownasignificantreductiontoboth
  shortandlongterminterestrates.
  ?Longtermyieldsongovernmentbondsarenowlessthan5%andareexpected
  toremainlevel.
  (a)(5points)XYZLifeisreviewingthesurpluspositionrelativetotheMCCSR
  guidelinesforCanadianlifeinsurancecompanies.
  (i)DefineeachoftheriskcomponentsthatareapplicabletoXYZLife’sUL
  productaccordingtotheMCCSRguidelines.
  (ii)Proposechangestotheassetportfolioandproductdesigntoreducethe
  requiredsurplusofXYZLife.
  (iii)ExplainhowyourproposedchangesimpacttheROEofXYZLife.
  (b)(1point)Describetheimpactthedeclineininterestrateshashadonthe
  prescribedinterestratescenariosusedbytheAppointedActuaryinsettingthe
  interestrateassumption.
  COURSE8I:Fall2004-14-GOONTONEXTPAGE
  IndividualInsurance–Canada
  AfternoonSession
  Questions13and14pertaintotheCaseStudy.
 
  13.(8points)Th*uationactuaryatSaturnLifeisconcernedaboutthemortality
  experienceofthetermportfolio.
  (a)AssesstheeffectofSaturn’sconversion,re-underwritingandterminationoptions
  ontherenewalARTmortalityassumption.
  (b)YouaregiventhefollowingadditionalinformationforSaturn’s5-yearlevelterm
  plan:
  ?Mortalityis90%ofthe1975-80UltimateTableintheabsenceofselective
  lapsation
  ?qx+5,t?5equals80%ofqx,t
  ?Durationfivelapserateis20%
  ?75%ofdurationfivelapsesareassumedtobeselective
  Calculatethedurationfivemortalityrateforafemaleage40usingthe
  conservationofdeathsprinciple.Showallwork.
  (c)Saturn’scurrenttermvaluationmortalityassumptionisasfollows:
  ?Bestestimateequals95%ofexpectedmortality
  ?Therearenoadjustmentsforanti-selectionatrenewal
  ?Marginforadversedeviationequals3.75/ex
  Assesstheappropriatenessoftheseassumptionsandrecommendanychanges.
  COURSE8I:Fall2004-15-GOONTONEXTPAGE
  IndividualInsurance–Canada
  AfternoonSession
  Questions13and14pertaintotheCaseStudy.
 
  14.(6points)YouhavebeenhiredbyMercuryLifeto*uatetheirprimarymarkets.
  (a)(1point)Describethecriteriainvolvedin*uatingpotentialtargetmarkets.
  (b)(5points)EvaluatethesuitabilityofeachofMercuryLife’sprimarymarketsas
  targetmarkets.
 
  15.(5points)XYZLifeplanstoentertheterminsurancemarket.
  (a)Describethefiveelementsthatshouldbeincludedinthecomprehensivebusiness
  analysis,aspresentedintheLOMAtext,todecidewhethertoentertheterm
  insurancemarket.
  (b)ExplainwhyXYZLifewouldusereinsurancetomanagethefinancialpositionof
  itstermportfolio.
  COURSE8I:Fall2004-16-STOP
  IndividualInsurance–Canada
  AfternoonSession
  16.(8points)Youaregiventhefollowingannuitypayments:
  PaymentDatePaymentatPaymentDate
  January1,2006$50,000
  July1,2006$60,000
  January1,2007$55,000
  July1,2007$70,000
  January1,2008$60,000
  July1,2008$80,000
  (a)DescribetheModifiedDurationmethodofdurationmatchingincludingany
  problemsassociatedwithit.
  (b)CalculatetheModifiedDurationoftheannuitypaymentsasofJuly1,2005,
  basedonaninterestrateof4%.Showallwork.
  (c)DescribetheExactMatchingmethodofdurationmatchingincludingany
  problemsassociatedwithit.
  (d)Non-callablebondshavebeenpurchasedtoexactlymatchtheannuitypayments
  asofJuly1,2005usingtheExactMatchingMethod.
  Informationaboutthebondsisshowninthefollowingtable:
  YearstoMaturityAnnualCouponRate
  1.54.0%
  2.04.5%
  2.55.0%
  3.05.5%
  Bondshaveaparvalueof$100.
  Couponsarepaidsemi-annually.
  Determinethenumberofbondswithamaturityof2yearsthatwerepurchased.
  Showallwork.
  (e)DescribetheHorizonMatchingmethodanditsappropriatenessfortheannuity
  payments.
  **ENDOFEXAMINATION**
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