Fixed-Income Securities Valuation, Risk Management and Portfolio Strategies Lionel Martellini Philippe Priaulet and Ste´phane Priaulet Fixed-Income Securities WileyFinanceSeries CountryRiskAssessment MichaelBouchet,Ephra¨ımClarkandBertrandGroslambert TheSimpleRulesofRisk:RevisitingtheArtofRiskManagement ErikBanks MeasuringMarketRisk KevinDowd AnIntroductiontoMarketRiskManagement KevinDowd BehaviouralFinance JamesMontier AssetManagement:EquitiesDemystified ShantaAcharya AnIntroductiontoCapitalMarkets:Products,Strategies,Participants AndrewMChisholm HedgeFunds:MythsandLimits Francois-SergeLhabitant TheManager’sConciseGuidetoRisk JihadSNader SecuritiesOperations:Aguidetotradeandpositionmanagement MichaelSimmons Modeling,MeasuringandHedgingOperationalRisk MarceloCruz MonteCarloMethodsinFinance PeterJa¨ckel StructuredEquityDerivatives:TheDefinitiveGuidetoExoticOptionsandStructuredNotes HarryKat AdvancedModellinginFinanceUsingExcelandVBA MaryJacksonandMikeStaunton OperationalRisk:MeasurementandModelling JackKing Advance Credit Risk Analysis: Financial Approaches and Mathematical Models to Assess, Price and Manage Credit Risk DidierCossinandHuguesPirotte InterestRateModelling JessicaJamesandNickWebber VolatilityandCorrelationinthePricingofEquity,FXandInterest-RateOptions RiccardoRebonato RiskManagementandAnalysisvol.1:MeasuringandModellingFinancialRisk CarolAlexander(ed) RiskManagementandAnalysisvol.2:NewMarketsandProducts CarolAlexander(ed) Interest-RateOptionModels:Understanding,AnalysingandUsingModelsforExoticInterest-RateOptions(second edition) RiccardoRebonato Fixed-Income Securities Valuation, Risk Management and Portfolio Strategies Lionel Martellini Philippe Priaulet and Ste´phane Priaulet Copyright(cid:1)c 2003 JohnWiley&SonsLtd,TheAtrium,SouthernGate,Chichester, WestSussexPO198SQ,England Telephone(+44)1243779777 Email(forordersandcustomerserviceenquiries):[email protected] VisitourHomePageonwww.wileyeurope.comorwww.wiley.com AllRightsReserved.Nopartofthispublicationmaybereproduced,storedinaretrievalsystemortransmittedinany formorbyanymeans,electronic,mechanical,photocopying,recording,scanningorotherwise,exceptunderthetermsof theCopyright,DesignsandPatentsAct1988orunderthetermsofalicenceissuedbytheCopyrightLicensingAgency Ltd,90TottenhamCourtRoad,LondonW1T4LP,UK,withoutthepermissioninwritingofthePublisher.Requeststo thePublishershouldbeaddressedtothePermissionsDepartment,JohnWiley&SonsLtd,TheAtrium,SouthernGate, Chichester,WestSussexPO198SQ,England,[email protected],orfaxedto(+44)1243770620. 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Theviews,thoughtsandopinionsexpressedinthisbookarethoseoftheauthorsintheirindividualcapacitiesandshould notinanywaybeattributedtoPhilippePriauletasarepresentative,officeroremployeeofHSBC-CCF. Theviews,thoughtsandopinionsexpressedinthisbookarethoseoftheauthorsintheirindividualcapacitiesandshould notinanywaybeattributedtoSte´phanePriauletasarepresentative,officeroremployeeofAXA. LibraryofCongressCataloging-in-PublicationData Martellini,Lionel. Fixed-incomesecurities: valuation,riskmanagement,andportfoliostrategies/Lionel Martellini,PhilippePriaulet,andSte´phanePriaulet p.cm.—(Wileyfinanceseries) Includesbibliographicalreferencesandindex. ISBN0-470-85277-1(pbk.:alk.paper) 1.Fixed-incomesecurities—Mathematicalmodels.2.Portfolio management—Mathematicalmodels.3.Bonds—Mathematicalmodels.4.Hedging (Finance)—Mathematicalmodels.I. Priaulet,Philippe.II.Priaulet,Ste´phane.III.Title.IV. Series. 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To Adhara, Antonella, Calypso, Daphne´, Isabelle and Manon To our parents and families To our friends Contents About the Authors xix Preface xxi Acknowledgments xxv Notation xxvii PART I INVESTMENT ENVIRONMENT 1 Bonds and Money-Market Instruments 3 1.1 Bonds 3 1.1.1 General Characteristics of Bonds 3 1.1.2 Bonds by Issuers 17 1.2 Money-Market Instruments 25 1.2.1 Definition 25 1.2.2 The Role of the Central Bank 25 1.2.3 T-Bills 26 1.2.4 Certificates of Deposit 28 1.2.5 Bankers’ Acceptances 29 1.2.6 Commercial Papers 29 1.2.7 Interbank Deposits 30 1.2.8 Repo and Reverse Repo Market Instruments 30 1.3 End of Chapter Summary 32 1.4 References and Further Reading 33 1.4.1 Books and Papers 33 1.4.2 Websites and Others 33 1.5 Problems 34 1.5.1 Problems on Bonds 34 1.5.2 Problems on Money-Market Instruments 36 1.6 Appendix: Sector Breakdown of the Euro, the UK and the Japan Corporate Bond Markets 37 2 Bond Prices and Yields 41 2.1 Introduction to Bond Pricing 41 2.2 Present Value Formula 43