chance Brooks An IntroductIon to D Derivatives and e r i v Risk Management a t iA v n e sI 10th EDition n a t n r d o don M. chance & robert Brooks Rd iu s An IntroductIon to c k t MI o Derivatives and an n t a o g Risk Management e m e n t 10th EDition To register or access your online learning solution or purchase materials for your course, visit www.cengagebrain.com. 10th EDition don M. chance & robert Brooks 04969_cvr_ptg01_hires.indd 1 SE/Chance, An Introduction to Derivatives and Risk Management 10th Edition ISBN-13: 978-1-305-10496-9 ©2016 23/10/14 4:34 PM Designer: LD Printer: West Group Binding: Casebound Trim: 8" x 10" CMYK An Introduction to Derivatives and Risk Management Louisiana State University University of Alabama Australia (cid:129) Brazil (cid:129) Mexico (cid:129) Singapore (cid:129) United Kingdom (cid:129) United States AnIntroductiontoDerivativesandRisk ©2016,2013CengageLearning Management,10thEdition WCN:01-100-101 DonM.ChanceandRobertBrooks ALLRIGHTSRESERVED.Nopartofthisworkcoveredbythecopyright VicePresident,GeneralManager,Science, hereinmaybereproduced,transmitted,stored,orusedinanyformorby Math&QuantitativeBusiness:BalrajKalsi anymeansgraphic,electronic,ormechanical,includingbutnotlimited ProductDirector:JoeSabatino tophotocopying,recording,scanning,digitizing,taping,Webdistribution, informationnetworks,orinformationstorageandretrievalsystems, ProductManager:ClaraGoosman exceptaspermittedunderSection107or108ofthe1976UnitedStates ContentDeveloper:KendraBrown CopyrightAct,withoutthepriorwrittenpermissionofthepublisher. 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CengageLearningisaleadingproviderofcustomizedlearning solutionswithofficelocationsaroundtheglobe,includingSingapore, theUnitedKingdom,Australia,Mexico,Brazil,andJapan.Locateyour localofficeat:www.cengage.com/global CengageLearningproductsarerepresentedinCanadaby NelsonEducation,Ltd. TolearnmoreaboutCengageLearningSolutions,visit www.cengage.com Purchaseanyofourproductsatyourlocalcollegestoreoratour preferredonlinestorewww.cengagebrain.com Printed in the United States of America Print Number: 01 Print Year: 2014 Brief Contents Preface xv CHAPTER 1 Introduction 1 CHAPTER 2 Structure of Derivatives Markets 26 PART I Options 69 CHAPTER 3 Principles of Option Pricing 70 CHAPTER 4 Option Pricing Models: The Binomial Model 109 CHAPTER 5 Option Pricing Models: The Black Scholes Merton Model 143 CHAPTER 6 Basic Option Strategies 202 CHAPTER 7 Advanced Option Strategies 239 PART II Forwards, Futures, and Swaps 273 CHAPTER 8 Principles of Pricing Forwards, Futures, and Options on Futures 274 CHAPTER 9 Futures Arbitrage Strategies 316 CHAPTER 10 Forward and Futures Hedging, Spread, and Target Strategies 343 CHAPTER 11 Swaps 395 PART III Advanced Topics 437 CHAPTER 12 Interest Rate Forwards and Options 438 CHAPTER 13 Advanced Derivatives and Strategies 475 CHAPTER 14 Financial Risk Management Techniques and Applications 516 CHAPTER 15 Managing Risk in an Organization 559 Appendix A Solutions to Concept Checks A-1 (Thiscontentisalsoavailableonthetextbookcompanionsite.) Appendix B References B-1 (Thiscontentisavailableonthetextbookcompanionsiteonly.) Appendix C List of Symbols C-1 (Thiscontentisavailableonthetextbookcompanionsiteonly.) Appendix D List of Important Formulas D-1 (Thiscontentisavailableonthetextbookcompanionsiteonly.) Glossary G-1 Index I-1 iii Contents Preface .......................................................................xv CHAPTER 1 Introduction.................................................................. 1 1-1 DerivativeMarketsandInstruments 4 1-1a DerivativesMarkets 4 1-1b Options 4 1-1c ForwardContracts 4 1-1d Futures Contracts 5 1-1e Swaps 5 1-2 TheUnderlying Asset 5 1-3 ImportantConceptsinFinancialandDerivativeMarkets 6 1-3a Presuppositions forFinancialMarkets 6 1-3b RiskPreference 6 1-3c ShortSelling 7 1-3d RepurchaseAgreements 8 1-3e ReturnandRisk 8 1-3f MarketEfficiency andTheoreticalFairValue 10 MakingtheConnection RiskandReturnandArbitrage 11 1-4 FundamentalLinkagesbetweenSpotandDerivativeMarkets 12 1-4a ArbitrageandtheLawofOnePrice 12 1-4b TheStorageMechanism:SpreadingConsumptionacrossTime 13 1-4c DeliveryandSettlement 13 1-5 RoleofDerivativeMarkets 14 1-5a RiskManagement 14 1-5b PriceDiscovery 14 MakingtheConnection JetFuelRiskManagementatSouthwestAirlines 15 1-5c OperationalAdvantages 15 1-5d MarketEfficiency 16 1-6 CriticismsofDerivativeMarkets 16 1-7 MisusesofDerivatives 17 1-8 DerivativesandEthics 17 1-9 DerivativesandYourCareer 19 1-10 SourcesofInformationonDerivatives 19 1-11 BookOverview 20 1-11a OrganizationoftheBook 20 1-11b KeyFeatures oftheBook 20 1-11c SpecificNewFeaturesoftheTenthEdition 22 1-11d UseoftheBook 22 iv Contents v Summary 23 KeyTerms 23 FurtherReading 23 ConceptChecks 24 QuestionsandProblems 24 CHAPTER 2 Structure of Derivatives Markets .............................................. 26 2-1 TypesofDerivatives 26 2-1a Options 26 2-1b ForwardContracts 28 2-1c Futures Contracts 29 2-1d Swaps 30 2-1e OtherTypesofDerivatives 30 2-2 OriginsandDevelopmentofDerivativesMarkets 31 2-2a EvolutionofCommodityDerivatives 32 2-2b IntroductionandEvolutionofFinancial Derivatives 33 2-2c DevelopmentoftheOver-the-CounterDerivativesMarkets 35 MakingtheConnection CollegeFootballOptions 36 2-3 Exchange-ListedDerivativesTrading 37 2-3a DerivativesExchanges 37 2-3b Standardization ofContracts 39 2-3c Physical versusElectronicTrading 42 2-3d Mechanics ofTrading 43 2-3e OpeningandClosingOrders 43 2-3f Expiration andExerciseProcedures 44 2-4 Over-the-CounterDerivativesTrading 46 2-4a OpeningandEarlyTerminationOrders 49 2-4b Expiration andExerciseProcedures 51 2-5 ClearingandSettlement 51 2-5a RoleoftheClearinghouse 52 2-5b Daily Settlement 53 MakingtheConnection HowClearinghousesReduceCreditRisk 54 2-6 MarketParticipants 58 2-7 TransactionCosts 60 2-7a FloorTradingandClearingFees 60 2-7b Commissions 60 2-7c Bid–AskSpreads 61 2-7d DeliveryCosts 61 2-7e OtherTransactionCosts 61 2-8 Taxes 62 2-9 RegulationofDerivativesMarkets 62 Summary 65 KeyTerms 65 FurtherReading 65 ConceptChecks 66 QuestionsandProblems 67 vi Contents PART I Options CHAPTER 3 Principles of Option Pricing.................................................. 70 3-1 BasicNotation andTerminology 71 3-2 PrinciplesofCallOption Pricing 73 3-2a MinimumValueofaCall 73 3-2b MaximumValueofaCall 75 3-2c ValueofaCallatExpiration 75 3-2d EffectofTimetoExpiration 76 3-2e EffectofExercisePrice 78 3-2f LowerBoundofaEuropeanCall 81 MakingtheConnection AsynchronousClosingPricesandApparentBoundaryConditionViolations 83 3-2g AmericanCallversusEuropeanCall 84 3-2h Early ExerciseofAmericanCallsonDividend-PayingStocks 85 3-2i EffectofInterestRates 86 3-2j EffectofStockVolatility 86 TakingRiskinLife DrugEffectiveness 87 3-3 PrinciplesofPutOptionPricing 88 3-3a MinimumValueofaPut 88 3-3b MaximumValueofaPut 89 3-3c ValueofaPutatExpiration 90 3-3d EffectofTimetoExpiration 91 3-3e TheEffectofExercisePrice 92 3-3f LowerBoundofaEuropeanPut 94 3-3g AmericanPutversusEuropeanPut 96 3-3h Early ExerciseofAmericanPuts 96 3-3i Put–CallParity 96 MakingtheConnection Put–CallParityArbitrage 100 3-3j EffectofInterestRates 101 3-3k EffectofStockVolatility 101 Summary 101 KeyTerms 103 FurtherReading 103 ConceptChecks 103 QuestionsandProblems 104 Appendix 3:DynamicsofOptionBoundaryConditions:ALearning Exercise 107 CHAPTER 4 Option Pricing Models: The Binomial Model ................................. 109 4-1 One-PeriodBinomialModel 109 4-1a IllustrativeExample 113 4-1b HedgePortfolio 114 4-1c OverpricedCall 115 4-1d UnderpricedCall 115 4-2 Two-Period BinomialModel 116 4-2a IllustrativeExample 118 4-2b HedgePortfolio 118 Contents vii MakingtheConnection BinomialOptionPricing,RiskPremiums,andProbabilities 119 4-2c MispricedCallintheTwo-PeriodWorld 122 4-3 ExtensionsoftheBinomialModel 123 4-3a PricingPutOptions 123 4-3b AmericanPutsandEarlyExercise 125 4-3c Dividends,EuropeanCalls,AmericanCalls,andEarlyExercise 126 4-3d ForeignCurrencyOptions 130 4-3e IllustrativeExample 130 4-3f ExtendingtheBinomialModeltonPeriods 131 4-3g BehavioroftheBinomialModelforLargenandFixedOptionLife 133 4-3h AlternativeSpecifications oftheBinomialModel 135 4-3i Advantages oftheBinomialModel 137 MakingtheConnection UsesoftheBinomialOptionPricingFrameworkinPractice 137 SoftwareDemonstration4.1 Calculating theBinomialPricewiththeExcelSpreadsheet BlackScholesMertonBinomial10e.xlsm 138 Summary 139 KeyTerms 140 FurtherReading 140 ConceptChecks 140 QuestionsandProblems 141 CHAPTER 5 Option Pricing Models: The Black Scholes Merton Model..................... 143 5-1 OriginsoftheBlack Scholes MertonFormula 143 5-2 Black Scholes MertonModelastheLimitoftheBinomialModel 144 MakingtheConnection Logarithms,Exponentials,andFinance 146 5-3 AssumptionsoftheBlack Scholes MertonModel 147 5-3a StockPricesBehaveRandomlyandEvolveAccordingtoaLognormal Distribution 147 5-3b Risk-FreeRateandVolatility oftheLogReturnontheStockAreConstant throughouttheOption’sLife 150 5-3c NoTaxesorTransactionCosts 151 5-3d StockPaysNoDividends 151 5-3e OptionsAreEuropean 151 5-4 ANobelFormula 151 5-4a DigressiononUsingtheNormalDistribution 152 5-4b Numerical Example 154 5-4c Characteristics oftheBlack–Scholes–MertonFormula 155 SoftwareDemonstration5.1 Calculating theBlack-Scholes-MertonPricewiththeExcelSpreadsheet BlackScholesMerton Binomial10e.xlsm 157 5-5 VariablesintheBlack Scholes MertonModel 159 5-5a StockPrice 160 5-5b ExercisePrice 162 5-5c Risk-FreeRate 164 5-5d Volatility (orStandardDeviation) 164 5-5e TimetoExpiration 167 viii Contents 5-6 Black Scholes MertonModelWhentheStockPaysDividends 169 5-6a KnownDiscreteDividends 169 5-6b KnownContinuousDividendYield 169 5-6c Black–Scholes–MertonModelandCurrencyOptions 171 5-7 Black Scholes MertonModelandSomeInsightsintoAmericanCallOptions 171 5-7a EstimatingtheVolatility 173 5-7b HistoricalVolatility 173 5-7c ImpliedVolatility 175 SoftwareDemonstration5.2 CalculatingtheHistoricalVolatilitywiththeExcelSpreadsheet HistoricalVolatility10e.xlsm 176 MakingtheConnection Smiles,Smirks,andSurfaces 181 TakingRiskinLife CancerClusters 183 5-8 PutOptionPricingModels 185 5-9 ManagingtheRiskofOptions 187 5-9a WhentheBlack–Scholes–MertonModelMay andMayNotHold 192 Summary 193 KeyTerms 195 FurtherReading 195 ConceptChecks 196 QuestionsandProblems 196 Appendix 5:AShortcuttotheCalculation ofImpliedVolatility 200 CHAPTER 6 Basic Option Strategies...................................................... 202 6-1 TerminologyandNotation 203 6-1a ProfitEquations 203 6-1b DifferentHoldingPeriods 204 6-1c Assumptions 205 6-2 StockTransactions 206 6-2a Buy Stock 206 6-2b ShortSellStock 206 6-3 CallOption Transactions 207 6-3a Buy aCall 207 6-3b WriteaCall 211 6-4 PutOptionTransactions 214 6-4a Buy aPut 214 6-4b WriteaPut 217 6-5 CallsandStock:TheCoveredCall 220 6-5a SomeGeneralConsiderations withCoveredCalls 223 MakingtheConnection AlphaandCoveredCalls 224 6-6 PutsandStock:TheProtectivePut 225 MakingtheConnection UsingtheBlack–Scholes–MertonModeltoAnalyzetheAttractivenessofaStrategy 228 6-7 SyntheticPutsandCalls 229 SoftwareDemonstration6.1 AnalyzingOption StrategieswiththeExcelSpreadsheet OptionStrategyAnalyzer10e.xlsm 232 Contents ix Summary 235 KeyTerms 235 FurtherReading 235 ConceptChecks 236 QuestionsandProblems 236 CHAPTER 7 Advanced Option Strategies ................................................. 239 7-1 OptionSpreads:BasicConcepts 239 7-1a Why InvestorsUseOptionSpreads 240 7-1b Notation 240 7-2 MoneySpreads 241 7-2a BullSpreads 241 MakingtheConnection SpreadsandOptionMarginRequirements 244 7-2b BearSpreads 245 7-2c ANoteaboutCallBearSpreads andPutBullSpreads 247 7-2d Collars 247 7-2e Butterfly Spreads 250 MakingtheConnection DesigningaCollarforanInvestmentPortfolio 251 7-3 CalendarSpreads 255 7-3a TimeValueDecay 256 7-4 RatioSpreads 258 7-5 Straddles 260 7-5a ChoiceofHoldingPeriod 262 7-5b ApplicationsofStraddles 263 7-5c ShortStraddle 264 Taking RiskinLife FalsePositives 264 7-6 BoxSpreads 265 Summary 268 KeyTerms 268 FurtherReading 268 ConceptChecks 269 QuestionsandProblems 269 PART II Forwards, Futures, and Swaps CHAPTER 8 Principles of Pricing Forwards, Futures, and Options on Futures .............. 274 8-1 GenericCarryArbitrage 275 8-1a ConceptofPriceversusValue 275 8-1b ValueofaForwardContract 276 8-1c PriceofaForwardContract 278 8-1d ValueofaFutures Contract 278 MakingtheConnection WhenForwardandFuturesContractsAretheSame 279 8-1e PriceofaFutures Contract 280 8-1f ForwardversusFuturesPrices 281