高顿网校的小编在这里给奋斗在北美精算师考场上的你作揖啦。真题系列Course8V(二):北美精算师考试SOA,请多看看背背,了解。
  5.(7points)Thetablebelowhasthe10largestcapitalrequirementsatissuefrom100
  scenariosforavariableannuitywithaGMDBofareturnofpremium.Requirementsare
  givenfortherealworldandrisk-neutralapproaches.Anegativ*ueindicatesa
  surplus.
  Approach
  Real
  World-0.35%-0.30%-0.25%-0.10%-0.10%-0.10%-0.10%0.40%1.10%2.70%
  Risk-
  Neutral-0.30%-0.28%-0.26%-0.24%-0.21%-0.17%-0.10%0.00%0.20%0.40%
  Basedonthisdata,theCEOsuggestsallocatingcapitalbasedontherealworldapproach
  ataquantileof91%butifthemarketperformspoorlytoswitchtotherisk-neutral
  approachwithaCTEat95%.
  (a)Definethequantileriskmeasure.
  (b)Calculatethe91%and95%quantilemeasuresforeachapproach.
  (c)DefinetheCTEriskmeasure.
  (d)Calculatethe91%and95%CTEmeasuresforeachapproach.
  (e)Calculatethestandarderrorfora64%confidenceintervalforthe95%quantile
  riskmeasureundertheactuarialapproach.
  (f)AppraisetheCEO’ssuggestedmixstrategy
  COURSE8:Fall2005-6-GOTONEXTPAGE
  Investment
  MorningSession
 
  6.(4points)YouhavebeengiventhefollowingassumptionsforoneofAnnuityCo’sfixedincome
  assetportfolios:
  Obligor(A)LossGiven
  Default
  (LGDA)
  ExpectedLoss
  OvertheNextYear
  (ELA)
  1165,000660
  2235,000940
  3700,0001,050
  4900,0001,800
  Total2,000,000-
  UnitofexposureforbandingL=100,000
  One-yearrisk-freerater=3%
  (a)UsingtheActuarialApproach(CreditRisk+)tomeasuringcreditrisk,calculate
  theprobabilitythatthelossoccurringoverthenextyearis300,000orless.
  (b)AcolleaguehassuggestedthattheCreditRisk+approachavoidsthelimitationsof
  theCreditMetricsandKMVapproaches.Evaluatethiscomment.
  COURSE8:Fall2005-7-GOTONEXTPAGE
  Investment
  MorningSession
 
  7.(4points)Youareonassignmentwiththeportfoliomanagementteamthathasbeen
  investinginequitiesprimarilyintheUSA.Theteamisinterestedinimplementingan
  expandedinternationalequitystrategy.
  Identifytheissuesyoushouldconsiderpriortoinvestingincountriesormarketswith
  whichyouarenotfamiliar.
  COURSE8:Fall2005-8-GOTONEXTPAGE
  Investment
  MorningSession
 
  8.(6points)Youaregiventhefollowingsecuritiesfora1-yearperiod:
  SecurityPricePayoffin
  “Up”State
  Payoffin
  “Down”State
  A11.50.7
  B15/1121
  C?1.80.85
  CalculatethepriceofSecurityC.
  COURSE8:Fall2005-9-STOP
  Investment
  MorningSession
 
  9.(5points)CMPLife’smarketinggroupisintroducinganewproductthatallowsthe
  policyholdertoallocatepremiumsbetweenanaccumulationfundandapayoutannuity.
  Premiuminflow$20millionpermonth
  Accumulationfund35%investmentgradeconvertiblebonds
  65%investmentgradecorporatebonds
  Payoutannuity20yearcertain,levelpayments
  (a)Listtheassumptionsyouwouldneedfromthepricingactuariestohelpyou
  constructinvestmentguidelinesfortheinvestmentmanagers.
  (b)Describetheinformationyouwillprovidetotheinvestmentmanagersonanongoing
  basis.
  (c)Explainwhetherabenchmarkoftheuniverseofallconvertiblesecurities
  (includingbothinvestmentandnon-investmentgrade)wouldbeappropriatefor
  theaccumulationportionoftheportfolio.
  (d)Describetheconsiderationsyouwouldhavetomakewheninstructingtheasset
  managersifCMPLifestopssellingthisproductafter10yearsandthereareno
  additionalpremiums.
  **ENDOFEXAMINATION**
  MORNINGSESSION
  COURSE8:Fall2005-1-GOTONEXTPAGE
  Investment
  AfternoonSession
  **BEGINNINGOFEXAMINATION**
  INVESTMENT
  AFTERNOONSESSION
  BeginningWithQuestion10
  高顿网校之考试励志:把友谊限于两人范围之内的人,似乎把明智的友谊的安全感与爱的妒嫉和蠢举相混淆。 —— 亚当·斯密