高顿网校小编友情提醒您认真仔细学习——北美精算师考试SOA:历年考题Course8IC(三),请认真对待之哦。
  7.(7points)XYZLifeproducesvalue-basedfinancialstatements.
  Youaregiven:
  ?Thehurdlerateis12%.
  ?Therisk-freerateofreturnis4.0%.
  ?Theinflationrateis1.5%.
  ?Betais2.0.
  (a)(1point)DescribetheCAPMformulaandcalculatetheimpliedrateofreturnon
  averageequityinvestments.
  (b)(2points)Describ*idationtechniquesusedto*uatetheaccuracyand
  reliabilityofmodelofficeprojectionsusedinvalue-basedfinancialanlysis.
  (c)(4points)ABCLifeoffersthesametermlifeinsuranceproductasXYZ.XYZ’s
  premiumsare5%higherthanABC’s.Bothcompanieshavethesameinflation,
  investmentandhurdlerates.
  XYZhaspricedtheproducttoachieveanIRRof13%.
  (i)ComparefirstyearearningsforXYZforthefollowingreportingmethods.
  ?PPM,
  ?Value-basedfinancialreporting,and
  ?LevelROEfinancialreporting.
  (ii)Determinewhichcompanywouldreporthigherfirstyearearningsunder
  eachofthereportingmethods.Justifyyouranswer.
  Course8I:Fall2005-8-GOONTONEXTPAGE
  IndividualInsurance–Canada
  MorningSession
 
  8.(4points)Seniormanagementwouldliketointroduceacommissionschedulethat
  eliminatesvestingentirely.Inreturn,agentswillbepaidhighercommissions.Currently,
  allcommissionsvesttoagentsatthetimeofasale.
  Youaregiven:
  Currentrenewalcommissionscale:
  t123
  rt3%3%3%
  Ot000
  Pt1.00.900.80
  Proposedrenewalcommissionscale:
  t123
  rt5%5%5%
  Ot00.050.10
  Pt1.00.950.90
  where:
  t=policyyear
  r=commissionsasapercentofthegrossannualpremium
  Ot=probabilitythatpremiumonnewbusinessiswrittenbyagentswholeave
  beforebusinessenterspolicyyeart
  Pt=probabilitythattheannualpremiumforthepolicyyeartwillbepaid
  ?Thediscountrateis3%.
  ?Expectedsalesundercurrentcompensationscaleare$10.0millionofpremium.
  ?Expectedsalesunderproposedcompensationscaleare$10.5millionofpremium.
  ?Expectedexpensesexcludingcommissionsare10%ofpremium.
  Selectthecommissionschedulethatproducesthehighestnetrevenueforthecompany.
  Showallwork.
  Course8I:Fall2005-9-STOP
  IndividualInsurance–Canada
  MorningSession
 
  9.(4points)ABCLifeisconcernedaboutthetrendofitsfixedannuitysalesrelativetothe
  restoftheindustry.
  (a)Describeavailablesourcesofdatathatmaybeusedto*uatethetrendinfixed
  annuitysales.
  (b)DescribeissuesforABCtoconsiderindecidingwhethertowithdrawfromthe
  fixedannuitymarket.
  **ENDOFEXAMINATION**
  MORNINGSESSION
  Course8I:Fall2005-10-GOONTONEXTPAGE
  IndividualInsurance–Canada
  AfternoonSession
  **BEGINNINGOFEXAMINATION8**
  INDIVIDUALINSURANCE–CANADA
  AFTERNOONSESSION
  Beginningwithquestion10
  Question10pertainstotheCaseStudy
  高顿网校之名人感触:把蛋煮熟易,使人成熟难。——弗·艾伦