WILEY END USER LICENSE AGREEMENT Go to www.wiley.com/go/eula to access Wiley’s ebook EULA. Investing in Mortgage-Backed and Asset-Backed Securities TheWileyFinanceseriescontainsbookswrittenspecificallyforfinanceand investment professionals, as well as sophisticated individual investors and their financial advisors. Book topics range from portfolio management to e-commerce, risk management, financial engineering, valuation and finan- cialinstrumentanalysis,aswellasmuchmore.Foralistofavailabletitles, visitourwebsiteatwww.WileyFinance.com. Foundedin1807,JohnWiley&Sonsistheoldestindependentpublish- ing company in the United States. With offices in North America, Europe, AustraliaandAsia,Wileyisgloballycommittedtodevelopingandmarket- ingprintandelectronicproductsandservicesforourcustomers’professional andpersonalknowledgeandunderstanding. Investing in Mortgage-Backed and Asset-Backed Securities Financial Modeling with R and Open Source Analytics + Website GLENN M. SCHULTZ, CFA FOREWORD BY FRANK J. FABOZZI, PH.D., CFA Copyright©2016byGlennM.Schultz.Allrightsreserved. PublishedbyJohnWiley&Sons,Inc.,Hoboken,NewJersey. PublishedsimultaneouslyinCanada. Nopartofthispublicationmaybereproduced,storedinaretrievalsystem,ortransmittedin anyformorbyanymeans,electronic,mechanical,photocopying,recording,scanning,or otherwise,exceptaspermittedunderSection107or108ofthe1976UnitedStatesCopyright Act,withouteitherthepriorwrittenpermissionofthePublisher,orauthorizationthrough paymentoftheappropriateper-copyfeetotheCopyrightClearanceCenter,Inc.,222 RosewoodDrive,Danvers,MA01923,(978)750-8400,fax(978)646-8600,orontheWeb atwww.copyright.com.RequeststothePublisherforpermissionshouldbeaddressedtothe PermissionsDepartment,JohnWiley&Sons,Inc.,111RiverStreet,Hoboken,NJ07030, (201)748-6011,fax(201)748-6008,oronlineathttp://www.wiley.com/go/permissions. LimitofLiability/DisclaimerofWarranty:Whilethepublisherandauthorhaveusedtheirbest effortsinpreparingthisbook,theymakenorepresentationsorwarrantieswithrespecttothe accuracyorcompletenessofthecontentsofthisbookandspecificallydisclaimanyimplied warrantiesofmerchantabilityorfitnessforaparticularpurpose.Nowarrantymaybecreated orextendedbysalesrepresentativesorwrittensalesmaterials.Theadviceandstrategies containedhereinmaynotbesuitableforyoursituation.Youshouldconsultwitha professionalwhereappropriate.Neitherthepublishernorauthorshallbeliableforanyloss ofprofitoranyothercommercialdamages,includingbutnotlimitedtospecial,incidental, consequential,orotherdamages. Forgeneralinformationonourotherproductsandservicesorfortechnicalsupport,please contactourCustomerCareDepartmentwithintheUnitedStatesat(800)762-2974,outside theUnitedStatesat(317)572-3993orfax(317)572-4002. Wileypublishesinavarietyofprintandelectronicformatsandbyprint-on-demand.Some materialincludedwithstandardprintversionsofthisbookmaynotbeincludedine-booksor inprint-on-demand.IfthisbookreferstomediasuchasaCDorDVDthatisnotincludedin theversionyoupurchased,youmaydownloadthismaterialathttp://booksupport.wiley.com. FormoreinformationaboutWileyproducts,visitwww.wiley.com. LibraryofCongressCataloging-in-PublicationData: Names:Schultz,GlennM.,author. Title:Investinginmortgageandassetbackedsecurities,+website: financialmodelingwithrandopensourceanalytics/GlennM.Schultz; forewordbyFrankJ.Fabozzi. Description:Hoboken:Wiley,2016.|Series:Wileyfinance|Includes bibliographicalreferencesandindex. Identifiers:LCCN2015035916(print)|LCCN2015047714(ebook)| ISBN9781118944004(hardback)|ISBN9781119221531(ePDF)| ISBN9781119221500(ePub) Subjects:LCSH:Mortgage-backedsecurities.|Securities.|Investments.| BISAC:BUSINESS&ECONOMICS/Investments&Securities. Classification:LCCHG4655.S3872016(print)|LCCHG4655(ebook)|DDC 332.63/244—dc23 LCrecordavailableathttp://lccn.loc.gov/2015035916 CoverDesign:Wiley CoverImage:©MaxKrasnov/Shutterstock PrintedintheUnitedStatesofAmerica 10 9 8 7 6 5 4 3 2 1 To Missi and Blake Contents Foreword xv Preface xvii Acknowledgments xxiii Introduction xxv PARTONE ValuationofFixed-IncomeSecurities CHAPTER1 TheTimeValueofMoney 3 1.1 PresentValue 3 1.2 FutureValue 4 1.3 PresentValueofanAnnuity 5 1.4 FutureValueofanAnnuity 6 1.5 SolvingFinancialQuestionswithPresentandFuture Value 6 1.6 ApplicationtoFixed-IncomeSecurities 8 CHAPTER2 TheoriesoftheTermStructureofInterestRates 9 2.1 TheRationalorPureExpectationsHypothesis 10 2.2 TheMarketSegmentationTheory 13 2.3 TheLiquidityPreferenceTheory 14 2.4 ModelingtheTermStructureofInterestRates 15 2.4.1 RelationshipoftheYieldCurvetoSpotRates andForwardRates 17 2.5 ApplicationofSpotandForwardRates 17 CHAPTER3 Fixed-IncomeMetrics 23 3.1 Maturity 24 3.2 YieldtoMaturity 24 vii
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