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ChapterSevenRiskManagementforChangingInterestRates:Asset-LiabilityManagementandDurationTechniques
KeyTopicsAsset,Liability,andFundsManagementMarketRatesandInterestRateRiskTheGoalsofInterestRateHedgingInterest-SensitiveGapManagementDurationGapManagementLimitationsofInterestRateRiskManagementTechniques
IntroductionEvenasafinancialinstitutiontakesonrisk,itmustprotectthevalueofitsnetworthfromerosion,whichcouldresultinultimatefailureFinancial-servicemanagershavelearnedtolookattheirassetandliabilityportfoliosasanintegratedwholeTheymustconsiderhowtheirinstitution’swholeportfoliocontributestothefirm’sgoalsofadequateprofitabilityandacceptableriskKnownasasset-liabilitymanagement(ALM)Canprotectagainstbusinesscyclesandseasonalpressures
Asset-LiabilityManagementStrategiesAssetManagementStrategyControloverassets,nocontroloverliabilitiesLiabilityManagementStrategyControloverliabilitiesbychangingratesandothertermsFundsManagementStrategyWorkswithbothstrategies
EXHIBIT7–1Asset-LiabilityManagementinBankingandFinancialServices
InterestRateRisk:OneoftheGreatestManagementChallengesChanginginterestratesimpactboththebalancesheetandthestatementofincomeandexpensesoffinancialfirmsPriceRiskWheninterestratesrise,themarketvalueofthebondorassetfallsReinvestmentRiskWheninterestratesfall,thecouponpaymentsonthebondarereinvestedatlowerrates
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)ForcesDeterminingInterestRatesLoanableFundsTheoryTheMeasurementofInterestRatesYTMBankDiscountComponentsofInterestRates
EXHIBIT7–2DeterminationoftheRateofInterestintheFinancialMarketplaceWheretheDemandandSupplyofLoanableFunds(Credit)InteracttoSetthePriceofCredit
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)InterestratesarethepriceofcreditDemandedbylendersascompensationfortheuseofborrowedfundsExpressedinpercentagepointsandbasispoints(1/100ofapercentagepoint)YieldtoMaturity(YTM)Thediscountratethatequalizesthecurrentmarketvalueofaloanorsecuritywiththeexpectedstreamoffutureincomepaymentsthattheloanorsecuritywillgenerate
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)HowtoCalculatetheYieldtoMaturity
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)Anotherpopularinterestratemeasureisthebankdiscountrate(DR)Oftenquotedonshort-termloansandmoneymarketsecurities(suchasTreasurybills)
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)TheDRmeasureignorestheeffectofcompoundingandisbasedona360-dayyearUnliketheYTMmeasure,whichassumesa365-dayyearandassumesthatinterestincomeiscompoundedatthecalculatedYTMTheDRmeasureusesthefacevalueofafinancialinstrumenttocalculateitsyieldorrateofreturnMakescalculationseasierbutistheoreticallyincorrectThepurchasepriceofafinancialinstrumentisamuchbetterbasetouseincalculatingtheinstrument’struerateofreturn
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)ToconvertaDRtotheequivalentyieldtomaturity,wecanusetheformula
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)MarketinterestratesareafunctionofRisk-freerealrateofinterestVariousriskpremiumsDefaultRiskInflationRiskLiquidityRiskCallRiskMaturityRisk
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)Marketinterestrateformula
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)YieldCurvesGraphicalpictureoftherelationshipbetweenyieldsandmaturitiesofsecuritiesGenerallycreatedwithtreasurysecuritiestokeepdefaultriskconstantShapesoftheyieldcurveUpward–long-termratesarehigherthanshort-termratesDownward–short-termratesarehigherthanlong-termratesHorizontal–short-termandlong-termratesareequal
EXHIBIT7–3YieldCurvesforU.S.TreasurySecuritiesin2009and2010
InterestRateRisk:OneoftheGreatestManagementChallenges(continued)Typicallymanagersoffinancialinstitutionsthatfocusonlendingfaresomewhatbetterwithanupward-slopingyieldcurveMostlendinginstitutionsexperienceapositivematuritygapbetweentheaveragematurityoftheirassetsandtheaveragematurityoftheirliabilitiesIftheyieldcurveisupwardsloping,thenrevenuesfromlonger-termassetswilloutstripexpensesfromshorter-termliabilitiesTheresultwillnormallybeapositivenetinterestmargin(interestrevenuesgreaterthaninterestexpenses)Incontrast,arelativelyflat(horizontal)ornegativelyslopedyieldcurveoftengeneratesasmallorevennegativenetinterestmargin
EXHIBIT7–4TheSpreadbetweenShort-TermandLong-TermInterestRatesonTreasurySecurities(October2010)
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMarginInordertoprotectprofitsagainstadverseinterestratechanges,managementseekstoholdfixedthefinancialfirm’snetinterestmargin(NIM)
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Amongthemostpopularinterestratehedgingstrategiesinusetodayisinterest-sensitivegapmanagementGapmanagementtechniquesrequiremanagementtoperformananalysisofthematuritiesandrepricingopportunitiesassociatedwithinterest-bearingassetsandwithinterest-bearingliabilitiesIfmanagementfeelsitsinstitutionisexcessivelyexposedtointerestraterisk,itwilltrytomatchascloselyaspossiblethevolumeofassetsthatcanberepricedasinterestrateschangewiththevolumeofliabilitieswhoseratescanalsobeadjustedwithmarketconditionsduringthesametimeperiod
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)ExamplesofRepriceable(Interest-Sensitive)Assetsand(Interest-Sensitive)LiabilitiesandNonrepriceableAssetsandLiabilities
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Afinancialfirmcanhedgeitselfagainstinterestratechanges–nomatterwhichwayratesmove–bymakingsureforeachtimeperiodthatThegapistheportionofthebalancesheetaffectedbyinterestraterisk
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Ifinterest-sensitiveassetsexceedthevolumeofinterest-sensitiveliabilitiessubjecttorepricing,thefinancialfirmissaidtohaveapositivegapandtobeassetsensitiveIntheoppositesituation,supposeaninterest-sensitivebank’sliabilitiesarelargerthanitsinterest-sensitiveassets
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Thereareseveralwaystomeasuretheinterest-sensitivegap(ISGAP)Onemethod–DollarISGAPIfinterest-sensitiveassets(ISA)are$150millionandinterest-sensitiveliabilities(ISL)are$200millionTheDollarISGAP=ISA–ISL=$150million–$200million=-$50millionAninstitutionwhoseDollarISGAPispositiveisassetsensitive,whileanegativeDollarISGAPdescribesaliability-sensitivecondition
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)RelativeISGAPratioARelativeISGAPgreaterthanzeromeanstheinstitutionisassetsensitive,whileanegativeRelativeISGAPdescribesaliability-sensitivefinancialfirm
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)InterestSensitivityRatio(ISR)AnISRoflessthan1tellsuswearelookingataliability-sensitiveinstitution,whileanISRgreaterthanunitypointstoanasset-sensitiveinstitutionOnlyifinterest-sensitiveassetsandliabilitiesareequalisafinancialinstitutionrelativelyinsulatedfrominterestraterisk
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)GappingmethodsusedtodayvarygreatlyincomplexityandformAllmethods,however,requirefinancialmanagerstomakesomeimportantdecisions:Managementmustchoosethetimeperiodduringwhichthenetinterestmargin(NIM)istobemanagedtoachievesomedesiredvalueandthelengthofsubperiods(“maturitybuckets”)intowhichtheplanningperiodistobedividedManagementmustchooseatargetlevelforthenetinterestmarginIfmanagementwishestoincreasetheNIM,itmusteitherdevelopacorrectinterestrateforecastorfindwaystoreallocateearningassetsandliabilitiestoincreasethespreadbetweeninterestrevenuesandinterestexpensesManagementmustdeterminethevolumeofinterest-sensitiveassetsandinterest-sensitiveliabilitiesitwantsthefinancialfirmtohold
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Manyinstitutionsusecomputer-basedtechniquesinwhichtheirassetsandliabilitiesareclassifiedasdueorrepriceabletoday,duringthecomingweek,inthenext30days,andsoon
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Thenetinterestmarginisinfluencedbymultiplefactors:ChangesinthelevelofinterestratesChangesinthespreadbetweenassetyieldsandliabilitycostsChangesinthevolumeofinterest-bearing(earning)assetsafinancialinstitutionholdsasitexpandsorshrinkstheoverallscaleofitsactivitiesChangesinthevolumeofinterest-bearingliabilitiesthatareusedtofundearningassetsasafinancialinstitutiongrowsorshrinksinsizeChangesinthemixofassetsandliabilitiesthatmanagementdrawsuponasitshiftsbetweenfloatingandfixed-rateassetsandliabilities,betweenshorterandlongermaturityassetsandliabilities,andbetweenassetsbearinghigherversuslowerexpectedyields
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)Wecalculateafirm’snetinterestincometoseehowitwillchangeifinterestratesriseNetinterestincomecanbederivedfromthefollowingformula
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)AusefuloverallmeasureofinterestrateriskexposureisthecumulativegapThetotaldifferenceindollarsbetweenthoseassetsandliabilitiesthatcanberepricedoveradesignatedperiodoftimeGivenanyspecificchangeinmarketinterestrates,wecancalculateapproximatelyhownetinterestincomewillbeaffectedbyaninterestratechange
OneoftheGoalsofInterestRateHedging:ProtecttheNetInterestMargin(continued)ProblemswithInterest-SensitiveGAPManagementInterestpaidonliabilitiestendtomovefasterthaninterestratesearnedonassetsTheinterestrateattachedtobankassetsandliabilitiesdonotmoveatthesamespeedasmarketinterestratesThepointatwhichsomeassetsandliabilitiesarerepricedisnoteasytoidentifyTheinterest-sensitivegapdoesnotconsidertheimpactofchanginginterestratesonequitypositions
TABLE7–2EliminatinganInterest-SensitiveGap
TheConceptofDurationasaRisk-ManagementToolDurationisavalue-weightedandtime-weightedmeasureofmaturitythatconsidersthetimingofallcashinflowsfromearningassetsandallcashoutflowsassociatedwithliabilitiesMeasurestheaveragematurityofapromisedstreamoffuturecashpaymentsor
TheConceptofDurationasaRisk-ManagementTool(continued)Thenetworth(NW)ofanybusinessorhouseholdisequaltothevalueofitsassetslessthevalueofitsliabilitiesAsmarketinterestrateschange,thevalueofbothafinancialinstitution’sassetsanditsliabilitieswillchange,resultinginachangeinitsnetworth
TheConceptofDurationasaRisk-ManagementTool(continued)PortfoliotheoryteachesusthatAriseinmarketratesofinterestwillcausethemarketvalue(price)ofbothfixed-rateassetsandliabilitiestodeclineThelongerthematurityofafinancialfirm’sassetsandliabilities,themoretheywilltendtodeclineinmarketvalue(price)whenmarketinterestratesriseByequatingassetandliabilitydurations,managementcanbalancetheaveragematurityofexpectedcashinflowsfromassetswiththeaveragematurityofexpectedcashoutflowsassociatedwithliabilitiesThus,durationanalysiscanbeusedtostabilize,orimmunize,themarketvalueofafinancialinstitution’snetworth
TheConceptofDurationasaRisk-ManagementTool(continued)Theimportantfeatureofdurationfromarisk-managementpointofviewisthatitmeasuresthesensitivityofthemarketvalueoffinancialinstrumentstochangesininterestratesThepercentagechangeinthemarketpriceofanassetoraliabilityisequaltoitsdurationtimestherelativechangeininterestratesattachedtothatparticularassetorliability
TheConceptofDurationasaRisk-ManagementTool(continued)Therelationshipbetweenanasset’schangeinpriceanditschangeinyieldorinterestrateiscapturedbyakeyterminfinancethatisrelatedtoduration–convexityConvexityreferstothepresenceofanonlinearrelationshipbetweenchangesinanasset’spriceandchangesinmarketinterestratesItisanumberdesignedtoaidportfoliomanagersinmeasuringandcontrollingthemarketriskinaportfolioofassetsAnassetorportfoliobearingbothalowdurationandlowconvexitynormallydisplaysrelativelysmallmarketriskConvexityincreaseswiththedurationofanassetIttellsusthattherateofchangeinanyinterest-bearingasset’sprice(marketvalue)foragivenchangeininterestratesvariesaccordingtotheprevailinglevelofinterestrates
UsingDurationtoHedgeagainstInterestRateRiskAfinancial-serviceproviderinterestedinfullyhedgingagainstinterestratefluctuationswantstochooseassetsandliabilitiessuchthatsothatthedurationgapisasclosetozeroaspossible
UsingDurationtoHedgeagainstInterestRateRisk(continued)Becausethedollarvolumeofassetsusuallyexceedsthedollarvolumeofliabilities,afinancialinstitutionseekingtominimizetheeffectsofinterestratefluctuationswouldneedtoadjustforleverageEquation(7-21)statesthatthevalueofliabilitiesmustchangebyslightlymorethanthevalueofassetstoeliminateafinancialfirm’soverallinterest-rateriskexposureThelargertheleverage-adjusteddurationgap,themoresensitivewillbethenetworth(equitycapital)ofafinancialinstitutiontoachangeininterestrates
UsingDurationtoHedgeagainstInterestRateRisk(continued)ExpandingthebalancesheetrelationshipofEquation(7–17)
UsingDurationtoHedgeagainstInterestRateRisk(continued)Supposeabankholdsthefollowingportfolioofassetsandtheircorrespondingdurations
UsingDurationtoHedgeagainstInterestRateRisk(continued)Weightingeachassetdurationbyitsassociateddollarvolume,wecancalculatethedurationoftheassetportfolioas:
UsingDurationtoHedgeagainstInterestRateRisk(continued)Theimpactofchangingmarketinterestratesonnetworthcanbedescribedas:
TheLimitationsofDurationGapManagementFindingassetsandliabilitiesofthesamedurationcanbedifficultSomeassetsandliabilitiesmayhavepatternsofcashflowsthatarenotwelldefinedCustomerprepaymentsmaydistorttheexpectedcashflowsindurationCustomerdefaultsmaydistorttheexpectedcashflowsindurationConvexitycancauseproblems
QuickQuizWhatdothefollowingtermsmean:assetmanagement?liabilitymanagement?fundsmanagement?Whatistheyieldcurve,andwhyisitimportanttoknowaboutitsshapeorslope?Canyouexplaintheconceptofgapmanagement?Whenisafinancialfirmassetsensitive?Liabilitysensitive?Explaintheconceptofweightedinterest-sensitivegap.Howcanthisconceptaidmanagementinmeasuringafinancialinstitution’srealinterest-sensitivegapriskexposure?Whatisduration?Howisafinancialinstitution’sdurationgapdetermined?Whataretheadvantagesofusingdurationasopposedtointerest-sensitivegapanalysis?
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