月FRM1级第一部分风险管理基础和第二部分定量分析讲

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FoundationsofRiskManagementAIMS†Creatingvaluewithriskmanagement†Marketefficiency,equilibriumandCAPM(重点)†Performancemeasurementandattribution(重点)†Sharperatioandinformationratio(重点)†Trackingerror†FactormodelsandArbitragePricingTheory(重点)†Riskmanagementfailures†Casestudies†EthicsFinancialRiskmanagement2010CopyrightbyDMC1DefineRisk(I)‡Riskcanbedefinedasthevolatilityofunexpectedoutcomes,whichcanrepresentthevalueofassets,equity,orearnings.‡Volatilitymostfrequentlyreferstothestandarddeviation(标准方差)ofthecontinuouslycompoundedreturns(连续复利回报)ofafinancialinstrumentwithaspecifictimehorizon.FinancialRiskmanagement2010CopyrightbyDMC2‡standarddeviationisameasureofthedispersion(离散程度)ofadataset(金融数据).Alowstandarddeviationindicatesthatthedatapointstendtobeveryclosetothemean(平均值),whilehighstandarddeviationindicatesthatthedataare“spreadout”(分散)overalargerangeofvalues.FinancialRiskmanagement2010CopyrightbyDMC3DefineRisk(II)FinancialRiskmanagement2010CopyrightbyDMC4DefineRisk(III)112)(−=∑−=−NNixxiσ如是总体,标准差公式根号内除以n,如是样本,标准差公式根号内除以(n-1),因为我们大量接触的是样本,所以普遍使用根号内除以(n-1),‡Continuouslycompoundedreturns:†设本金为p0,年利率为i,当每年含有m个复利结算周期(若一个月为一个复利结算周期,则m=12,若以一季度为一个复利结算周期,则m=4)时,则1年后的本利和为:当复利结算的周期数(这意味着资金运用率最大限度的提高)时:FinancialRiskmanagement2010CopyrightbyDMC5DefineRisk(IV)SignificantMarketEventsofPastSeveralDecadesFinancialRiskmanagement2010CopyrightbyDMC6SignificantMarketEventsofPastSeveralDecadesFinancialRiskmanagement72010CopyrightbyDMCDefineDerivativeContract†Derivativesareinstrumentsdesignedtomanagefinancialrisksefficiently.†Aderivativecontractcanbedefinedgenerallyasaprivatecontractderivingitsvaluefromsomeunderlyingassetprice,referencerate,orindex-suchasastock,bond,currency,orcommodity.Suchacontractalsospecifiesanotionalamount,definedintermsofcurrency,shares,bushels,orsomeotherunit.Incontrasttosecurities,suchasstocksandbonds,whichareissuedtoraisecapital,derivativesarecontracts,orprivateagreementsbetweentwoparties.FinancialRiskmanagement2010CopyrightbyDMC8DualRoleLeveragePlaysInDerivatives†Leverage:Borrowing†Theleverage,however,isadouble-edgedsword.Itmakesthederivativeanefficientinstrumentforhedgingandspeculationowingtoverylowtransactioncosts.Ontheotherhand,theabsenceofanupfrontcashpaymentmakesitmoredifficulttoassessthepotentialdownsiderisk.Hencederivativesriskshavetobemonitoredcarefully.FinancialRiskmanagement2010CopyrightbyDMC9DefineFinancialRiskManagement†Financialriskmanagementreferstothedesignandimplementationofproceduresforidentifying,measuring,andmanagingfinancialrisks.†Imagineyourselfasariskmanagerinchargeofcontrollingtheriskofagroupoffixed-incometraders.Howdoyoulimitpotentiallosseswhilestillallowingtraderstotakeviewsonmarkets?Thisistheessenceofariskmanager‘sjob.(stop-losslimit,notionallimit,sensitivitylimit(敏感性分析)FinancialRiskmanagement2010CopyrightbyDMC10DefineVaR†VARsummarizestheworstlossoveratargethorizonthatwillnotbeexceededwithagivenlevelofconfidence.†未来100天里99%置信区间的VaR是100万美元:在未来100天里,投资组合有99天的损失不会超过100万美元,只有1天的损失会超过100万美元.†VaR考虑了波动率和资产相关性。†VaR在正常市场下比较准确,在极端波动的情况下容易出现错误,例如2008年,很多金融机构的风险系统都失效。†VaR的缺点:没有给出最坏情况下的损失情况FinancialRiskmanagement2010CopyrightbyDMC11MarketRisk†Marketriskistheriskoflossesowingtomovementsinthelevelorvolatilityofmarketprices.†Marketriskcantaketwoforms:absoluterisk,measuredindollartent‘s(orintherelevantcurrency),andrelativerisk(ETF),measuredrelativetoabenchmarkindex.Whiletheformerfocusesonthevolatilityoftotalreturns,thelattermeasuresriskintermsoftrackingerror,ordeviationfromtheindex.FinancialRiskmanagement2010CopyrightbyDMC12ControllingMarketRisk†Marketriskiscontrolledbylimitsonnationals,exposures,VARmeasures,andindependentsupervisionbyriskmanagers.†对衍生产品合理的定价FinancialRiskmanagement2010CopyrightbyDMC13LiquidityriskAssetvs.Fundingliquidityrisk†Liquidityrisktakestwoforms,assetliquidityriskandfundingliquidityrisk.†Asset-liquidityrisk,alsoknownasmarket/product-liquidityrisk,ariseswhenatransactioncannotbeconductedatprevailingmarketpricesowingtothesizeofthepositionrelativetonormaltradinglots.Thisriskvariesacrosscategoriesofassetsandacrosstimeasafunctionofprevailingmarketconditions.FinancialRiskmanagement2010CopyrightbyDMC14†Funding-liquidityrisk,alsoknownascash/flowrisk,referstotheinabilitytomeetpaymentsobligations,whichmayforceearlyliquidation,thustransforming“paper”lossesintorealizedlosses.Thisisespeciallyaproblemforportfoliosthatareleveragedandsubjecttomargincallsfromthelender.Cash-flowriskinteractswithproduct-liquidityriskiftheportfoliocontainsilliquidassetsthatmustbesoldatlessthan“fair”marketvalue.(例子,雷曼兄弟)FinancialRiskmanagement2010CopyrightbyDMC15LiquidityriskAssetvs.FundingliquidityriskCreditRiskExposureandRecoveryRate†Creditriskistheriskoflossesowingtothefactthatcounterpartiesmaybeunwillingorunabletofulfilltheircontractualobligations.†Thislossencompassestheexposure,oramountatrisk,andtherecoveryrate,whichistheproportionpaidbacktothelender,usuallymeasuredintermsofcentsonthedollar.'“†Lossesowingtocreditrisk,however,canoccurbeforetheactualdefault.Moregenerally,creditriskshouldbedefinedasthepotentiallossFina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