以下则是北美精算师考试SOA——历年必备真题May2005ExamC(2),请耐心看笔记以及用你的真心去记住。
  5.(5points)YouaregiventhefollowinginformationwithrespecttoStockXYZ:
  ?price:50
  ?variance:4%
  ?dividendrate:0%
  Therisk-freeratecompoundedcontinuouslyis6%.
  YouarealsogiventhefollowingselectedvaluesfromtheStandardNormalCumulative
  DistributionFunction:
  ZN(Z)ZN(Z)ZN(Z)
  .010.5040.110.5438.210.5832
  .020.5080.120.5478.220.5871
  .030.5120.130.5517.230.5910
  .040.5160.140.5557.240.5948
  .050.5199.150.5596.250.5987
  .060.5239.160.5636.260.6026
  .070.5279.170.5675.270.6064
  .080.5319.180.5714.280.6103
  .090.5359.190.5753.290.6141
  .100.5398.200.5793.300.6179
  (a)Listtheassumptionsrequiredforput-callparity.
  (b)UsetheBlack-Scholesformulatocalculatethepriceofaone-yearEuropeancall
  optiononStockXYZwithastrikepriceof52.
  (c)Calculatethepriceofaone-yearEuropeanputoptiononStockXYZwithastrike
  priceof52.
  Showallwork.
  Course6:Spring2005-6-GOONTONEXTPAGE
  MorningSession
 
  6.(6points)Youaregiventhefollowingwithrespecttoaportfolioofbonds:
  Bond
  Annual
  CouponPar
  Market
  Value
  Option
  Features
  Yearsto
  Maturity
  A4.50%100100none2
  B6.00%100
  callableinone
  yearat1012
  Youaregiventhefollowingwithrespecttoabinomiallattice:
  ?rL:4%
  ?σ:15%
  ?timeintervalbetweennodes:1year
  (a)Calculatetheone-yearspotrate.
  (b)Calculatethetwo-yearspotrate.
  (c)Calculatetheone-yearimpliedforwardrate.
  (d)Calculateth*ueoftheoptioninBondB.
  Showallwork.
 
  7.(4points)OutlinetherisksfacedbyaU.S.investorinpurchasinga10-yearprivatelyplaced
  U.S.corporatecallablebond.
  Course6:Spring2005-7-GOONTONEXTPAGE
  MorningSession
  COURSE6
  MORNINGSESSION
  SECTIONB–MULTIPLECHOICE
  Course6:Spring2005-8-GOONTONEXTPAGE
  MorningSession
  1-5.Eachofquestions1through5consistsoftwolists.Inthelistattheleftaretwoitems,
  letteredXandY.Inthelistattherightarethreeitems,numberedI,IIandIII.ONEof
  thelettereditemsisrelatedinsomewaytoEXACTLYTWOofthenumbereditems.
  Indicatetherelateditemsusingthefollowinganswercode:
  LetteredItem
  IsRelatedtoNumberedItems
  (A)
  X
  IandIIonly
  (B)
  X
  IIandIIIonly
  (C)
  Y
  IandIIonly
  (D)
  Y
  IandIIIonly
  (E)
  Thecorrectanswerisnotgivenby(A),(B),(C)or(D).
  1.X.Yield-to-maturityreturnmethodI.Requiresanexplicitreinvestment
  rateassumption
  Y.TotalreturnmethodII.Iscommonlyusedforpricingand
  trading
  III.Ignoresthecapitalgainorlossfrom
  securitysales
  2.X.EffectivedurationmatchingI.Veryexpensivetoimplement
  Y.CashflowmatchingII.Onlyworksforsmallchangesin
  interestrates
  III.Accountsforoptionsembeddedin
  theassetsandliabilities
  Course6:Spring2005-9-GOONTONEXTPAGE
  MorningSession
  高顿网校之名人感触:按照自己的意志去做,不要听那些闲言碎语,你就一定会成功。 —— 纳斯雷丹·霍查