確定利付証券:評価、リスク管理とポートフォリオ戦略<br>Fixed-Income Securities : Valuation, Risk Management and Portfolio Strategies (Wiley Finance)

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確定利付証券:評価、リスク管理とポートフォリオ戦略
Fixed-Income Securities : Valuation, Risk Management and Portfolio Strategies (Wiley Finance)

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  • 言語 ENG
  • 商品コード 9780470852774
  • DDC分類 332.632044

基本説明

"Wiley Finance"

Full Description

This textbook will be designed for fixed-income securities courses taught on MSc Finance and MBA courses. There is currently no suitable text that offers a 'Hull-type' book for the fixed income student market. This book aims to fill this need. The book will contain numerous worked examples, excel spreadsheets, with a building block approach throughout. A key feature of the book will be coverage of both traditional and alternative investment strategies in the fixed-income market, for example, the book will cover the modern strategies used by fixed-income hedge funds.

The text will be supported by a set of PowerPoint slides for use by the lecturer
First textbook designed for students written on fixed-income securities - a growing market
Contains numerous worked examples throughout
Includes coverage of important topics often omitted in other books i.e. deriving the zero yield curve, deriving credit spreads, hedging and also covers interest rate and credit derivatives

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

2.2.1 Time-Value of Money 43

2.2.2 The Mathematics of Discounting 43

2.2.3 Nominal versus Real Interest Rates 45

2.2.4 Time Basis and Compounding Frequency Conventions 46

2.2.5 Continuous Compounding 47

2.3 Taxonomy of Rates 49

2.3.1 Coupon Rate and Current Yield 49

2.3.2 Yield to Maturity 49

2.3.3 Spot Zero-Coupon (or Discount) Rate 51

2.3.4 Forward Rates 52

2.3.5 Bond Par Yield 54

2.4 End of Chapter Summary 54

2.5 References and Further Reading 54

2.6 Problems 55

Part II Term Structure of Interest Rates

3 Empirical Properties and Classical Theories of the Term Structure 63

3.1 Definition and Properties of the Term Structure 63

3.1.1 What Kind of Shape Can It Take? 65

3.1.2 How Does It Evolve over Time? 68

3.2 Classical Theories of the Term Structure 81

3.2.1 The Pure Expectations Theory 82

3.2.2 The Pure Risk Premium Theory 83

3.2.3 The Market Segmentation Theory 85

3.2.4 The Biased Expectations Theory: An Integrated Approach 86

3.2.5 Illustration and Empirical Validation 86

3.2.6 Summary and Extensions 87

3.3 End of Chapter Summary 88

3.4 References and Further Reading 89

3.4.1 On the Empirical Behavior of the Yield Curve 89

3.4.2 On the Principal Component Analysis of the Yield Curve 90

3.4.3 On the Classical Theories of the Term Structure of Interest Rates 90

3.5 Problems 91

4 Deriving the Zero-Coupon Yield Curve 96

4.1 Deriving the Nondefault Treasury Zero-Coupon Yield Curve 96

4.1.1 How to Select a Basket of Bonds? 96

4.1.2 Direct Methods 97

4.1.3 Indirect Methods 103

4.2 Deriving the Interbank Zero-Coupon Rate Curve 130

4.2.1 How to Select the Basket of Instruments? 130

4.2.2 Interpolation Methods 132

4.2.3 Least Squares Methods Based on Rates 132

4.2.4 Least Squares Methods Based on Prices 133

4.3 Deriving Credit Spread Term Structures 136

4.3.1 Disjoint Methods 136

4.3.2 Joint Methods 137

4.4 End of Chapter Summary 142

4.5 References and Further Reading 144

4.6 Problems 146

4.7 Appendix: A Useful Modified Newton's Algorithm 155

Part III Hedging Interest-Rate Risk

5 Hedging Interest-Rate Risk with Duration 163

5.1 Basics of Interest-Rate Risk: Qualitative Insights 163

5.1.1 The Five Theorems of Bond Pricing 163

5.1.2 Reinvestment Risk 164

5.1.3 Capital Gain Risk 165

5.1.4 Qualifying Interest-Rate Risk 166

5.2 Hedging with Duration 167

5.2.1 Using a One-Order Taylor Expansion 167

5.2.2 Duration, $Duration and Modified Duration 170

5.2.3 How to Hedge in Practice? 173

5.3 End of Chapter Summary 175

5.4 References and Further Reading 176

5.4.1 Books 176

5.4.2 Papers 176

5.5 Problems 177

6 Beyond Duration 182

6.1 Relaxing the Assumption of a Small Shift 182

6.1.1 Using a Second-Order Taylor Expansion 182

6.1.2 Properties of Convexity 185

6.1.3 Hedging Method 187

6.2 Relaxing the Assumption of a Parallel Shift 188

6.2.1 A Common Principle 188

6.2.2 Regrouping Risk Factors through a Principal Component Analysis 192

6.2.3 Hedging Using a Three-Factor Model of the Yield Curve 195

6.3 End of Chapter Summary 199

6.4 References and Further Reading 200

6.5 Problems 201

Part IV Investment Strategies

7 Passive Fixed-Income Portfolio Management 213

7.1 Straightforward Replication 213

7.2 Replication by Stratified Sampling 214

7.3 Tracking-Error Minimization 216

7.3.1 Optimization Procedure 216

7.3.2 Bond Return Covariance Matrix Estimation 217

7.4 Factor-Based Replication 226

7.5 Derivatives-Based Replication 229

7.6 Pros and Cons of Stratified Sampling versus Tracking-Error Minimization 230

7.7 End of Chapter Summary 230

7.8 References and Further Reading 231

7.8.1 Books and Papers 231

7.8.2 Websites 231

7.9 Problems 231

8 Active Fixed-Income Portfolio Management 233

8.1 Market Timing: Trading on Interest-Rate Predictions 233

8.1.1 Timing Bets on No Change in the Yield Curve or "Riding the Yield Curve" 234

8.1.2 Timing Bets on Interest-Rate Level 236

8.1.3 Timing Bets on Specific Changes in the Yield Curve 238

8.1.4 Scenario Analysis 251

8.1.5 Active Fixed-Income Style Allocation Decisions 255

8.2 Trading on Market Inefficiencies 268

8.2.1 Trading within a Given Market: The Bond Relative Value Analysis 269

8.2.2 Trading across Markets: Spread and Convergence Trades 276

8.3 End of Chapter Summary 282

8.4 References and Further Reading 283

8.4.1 On Active Fixed-Income Strategies 283

8.4.2 On Active Asset Allocation Decisions 284

8.4.3 Others 286

8.5 Problems 286

9 Performance Measurement on Fixed-Income Portfolios 293

9.1 Return Measures 293

9.1.1 Arithmetic Rate of Return 293

9.1.2 Geometric Rate of Return 294

9.2 Risk-Adjusted Performance Evaluation 295

9.2.1 Absolute Risk-Adjusted Performance Evaluation 296

9.2.2 Relative Risk-Adjusted Performance Evaluation 299

9.3 Application of Style Analysis to Performance Evaluation of Bond Portfolio Managers: An Example 309

9.3.1 Alpha Analysis 310

9.3.2 Passive Versus Active Managers 313

9.4 End of Chapter Summary 314

9.5 References and Further Reading 315

9.5.1 Books and Papers 315

9.5.2 Websites 316

9.6 Problems 316

Part V Swaps and Futures

10 Swaps 325

10.1 Description of Swaps 325

10.1.1 Definition 325

10.1.2 Terminology and Conventions 325

10.2 Pricing and Market Quotes 326

10.2.1 Pricing of Swaps 326

10.2.2 Market Quotes 333

10.3 Uses of Swaps 334

10.3.1 Optimizing the Financial Conditions of a Debt 335

10.3.2 Converting the Financial Conditions of a Debt 336

10.3.3 Creating New Assets Using Swaps 337

10.3.4 Hedging Interest-Rate Risk Using Swaps 339

10.4 Nonplain Vanilla Swaps 342

10.4.1 Accrediting, Amortizing and Roller Coaster Swaps 342

10.4.2 Basis Swap 343

10.4.3 Constant Maturity Swap and Constant Maturity Treasury Swap 343

10.4.4 Forward-Starting Swap 344

10.4.5 Inflation-Linked Swap 344

10.4.6 Libor in Arrears Swap 344

10.4.7 Yield-Curve Swap 345

10.4.8 Zero-Coupon Swap 345

10.5 End of Chapter Summary 346

10.6 References and Further Reading 346

10.6.1 Books and Papers 346

10.6.2 Websites 347

10.7 Problems 347

11 Forwards and Futures 353

11.1 Definition 353

11.2 Terminology, Conventions and Market Quotes 354

11.2.1 Terminology and Conventions 354

11.2.2 Quotes 356

11.3 Margin Requirements and the Role of the Clearing House 358

11.4 Conversion Factor and the Cheapest-to-Deliver Bond 359

11.4.1 The Cheapest to Deliver on the Repartition Date 360

11.4.2 The Cheapest to Deliver before the Repartition Date 361

11.5 Pricing of Forwards and Futures 362

11.5.1 Forward-Spot Parity or How to Price a Forward Contract? 362

11.5.2 The Forward Contract Payoff 364

11.5.3 Relation between Forward and Futures Prices 365

11.6 Uses of Forwards and Futures 365

11.6.1 Pure Speculation with Leverage Effect 365

11.6.2 Fixing Today the Financial Conditions of a Loan or Investment in the Future 366

11.6.3 Detecting Riskless Arbitrage Opportunities Using Futures 367

11.6.4 Hedging Interest-Rate Risk Using Futures 368

11.7 End of Chapter Summary 370

11.8 References and Further Reading 371

11.8.1 Books and Papers 371

11.8.2 Websites of Futures Markets and of the Futures Industry Association 371

11.9 Problems 372

11.10 Appendix: Forward and Futures Prices Are Identical When Interest Rates Are Constant 375

Part VI Modeling The Term Structure of Interest Rates and Credit Spreads

12 Modeling the Yield Curve Dynamics 381

12.1 The Binomial Interest-Rate Tree Methodology 382

12.1.1 Building an Interest-Rate Tree 382

12.1.2 Calibrating an Interest-Rate Tree 384

12.2 Continuous-Time Models 387

12.2.1 Single-Factor Models 388

12.2.2 Multifactor Models 392

12.3 Arbitrage Models 396

12.3.1 A Discrete-Time Example: Ho and Lee's Binomial Lattice 396

12.3.2 Arbitrage Models in Continuous Time 401

12.4 End of Chapter Summary 406

12.5 References and Further Reading 407

12.6 Problems 411

12.7 Appendix 1: The Hull and White Trinomial Lattice 413

12.7.1 Discretizing the Short Rate 413

12.7.2 Calibrating the Lattice to the Current Spot Yield Curve 416

12.7.3 Option Pricing 419

12.8 Appendix 2: An Introduction to Stochastic Processes in Continuous Time 420

12.8.1 Brownian Motion 420

12.8.2 Stochastic Integral 423

12.8.3 Stochastic Differential Equations (SDE) 425

12.8.4 Asset Price Process 426

12.8.5 Representation of Brownian Martingales 426

12.8.6 Continuous-Time Asset Pricing 427

12.8.7 Feynman-Kac Formula 431

12.8.8 Application to Equilibrium Models of the Term Structure 432

13 Modeling the Credit Spreads Dynamics 437

13.1 Analyzing Credit Spreads 438

13.1.1 Ratings 438

13.1.2 Default Probability 440

13.1.3 The Severity of Default 441

13.2 Modeling Credit Spreads 441

13.2.1 Structural Models 442

13.2.2 Subsequent Models 446

13.2.3 Reduced-Form Models 448

13.2.4 Historical versus Risk-Adjusted Probability of Default 450

13.3 End of Chapter Summary 452

13.4 References and Further Reading 453

13.4.1 Books and Papers 453

13.4.2 Websites 454

13.5 Problems 455

Part VII Plain Vanilla Options and More Exotic Derivatives

14 Bonds with Embedded Options and Options on Bonds 459

14.1 Callable and Putable Bonds 459

14.1.1 Institutional Aspects 459

14.1.2 Pricing 460

14.1.3 OAS Analysis 467

14.1.4 Effective Duration and Convexity 468

14.2 Convertible Bonds 470

14.2.1 Institutional Aspects 470

14.2.2 Valuation of Convertible Bonds 473

14.2.3 Convertible Arbitrage 479

14.3 Options on Bonds 482

14.3.1 Definition 482

14.3.2 Uses 483

14.3.3 Pricing 487

14.4 End of Chapter Summary 491

14.5 References and Further Reading 492

14.5.1 On Callable and Putable Bonds 492

14.5.2 On Convertible Bonds 492

14.5.3 On Options on Bonds 493

14.6 Problems 494

14.7 Appendix: Bond Option Prices in the Hull and White (1990) Model 498

14.7.1 Call on Zero-Coupon Bond 499

14.7.2 Call on Coupon Bond 499

15 Options on Futures, Caps, Floors and Swaptions 500

15.1 Options on Futures 500

15.1.1 Definition and Terminology 500

15.1.2 Pricing and Hedging Options on Futures 502

15.1.3 Market Quotes 505

15.1.4 Uses of Futures Options 508

15.2 Caps, Floors and Collars 508

15.2.1 Definition and Terminology 508

15.2.2 Pricing and Hedging Caps, Floors and Collars 510

15.2.3 Market Quotes 514

15.2.4 Uses of Caps, Floors and Collars 516

15.3 Swaptions 520

15.3.1 Definition and Terminology 520

15.3.2 Pricing and Hedging Swaptions 521

15.3.3 Market Quotes 526

15.3.4 Uses of Swaptions 526

15.4 End of Chapter Summary 527

15.5 References and Further Reading 528

15.5.1 Books and Papers 528

15.5.2 Websites 529

15.6 Problems 529

15.7 Appendix 1: Proof of the Cap and Floor Formulas in the Black (1976) Model 534

15.8 Appendix 2: Proof of the Swaption Formula in the Black (1976) Model 535

15.9 Appendix 3: Forward and Futures Option Prices Written on T-Bond and Libor in the Hull and White (1990) Model 536

15.9.1 Options on Forward Contracts 536

15.9.2 Options on Futures Contracts 537

15.10 Appendix 4: Cap, Floor and Swaption Prices in the Hull and White (1990) Model 539

15.10.1 Cap and Floor 539

15.10.2 Swaption 540

15.11 Appendix 5: Market Models (BGM/Jamshidian Approach) 541

15.11.1 Why Define New Variables? 541

15.11.2 Building New Variables 542

15.11.3 The Dynamics of L(t, θ) and K(t, t + θ) 543

15.11.4 Pricing of Caps 545

15.11.5 Calibration of the Model 546

16 Exotic Options and Credit Derivatives 548

16.1 Interest-Rate Exotic Options 548

16.1.1 Barrier Caps and Floors 548

16.1.2 Bounded Caps, Floors, Barrier Caps and Floors 550

16.1.3 Cancelable Swaps 551

16.1.4 Captions and Floortions 551

16.1.5 Choosercaps and Flexicaps-and-Floors 551

16.1.6 Contingent Premium Caps and Floors 553

16.1.7 Extendible Swaps 554

16.1.8 Incremental Fixed Swaps 554

16.1.9 Index Amortizing Bonds and Swaps 555

16.1.10 Marked-to-Market Caps 557

16.1.11 Moving Average Caps and Floors 557

16.1.12 N-Caps and Floors 558

16.1.13 Q-Caps and Floors 558

16.1.14 Range Accrual Swaps 559

16.1.15 Ratchet Caps and Floors 560

16.1.16 Reflex Caps and Floors 561

16.1.17 Rental Caps and Floors 562

16.1.18 Rolling Caps and Floors 562

16.1.19 Spread Options 563

16.1.20 Subsidized Swaps 563

16.1.21 Pricing and Hedging Interest-Rate Exotic Options 565

16.2 Credit Derivatives 565

16.2.1 The Significance of Credit Derivatives 565

16.2.2 Types of Credit Derivatives 567

16.3 End of Chapter Summary 575

16.4 References and Further Reading 575

16.4.1 On Interest-Rate Exotic Options 575

16.4.2 On Credit Derivatives 576

16.4.3 On Numerical Methods (See the Appendix 2) 576

16.4.4 Websites and Others 577

16.5 Problems 577

16.6 Appendix 1: Pricing and Hedging Barrier Caps and Floors in the Black Model 580

16.6.1 Barrier Cap Formulas 580

16.6.2 Barrier Floor Formulas 581

16.6.3 Barrier Cap and Floor Greeks 581

16.7 Appendix 2: Numerical Methods 583

16.7.1 Monte Carlo Simulations 583

16.7.2 Finite-Difference Methods 585

Part VIII Securitization

17 Mortgage-Backed Securities 593

17.1 Description of MBSs 593

17.1.1 Definition 593

17.1.2 The Amortization Mechanism 593

17.1.3 The Prepayment Feature 596

17.1.4 Typology of MBS 596

17.2 Market Quotes and Pricing 598

17.2.1 Market Quotes 599

17.2.2 Pricing of MBS 600

17.3 End of Chapter Summary 603

17.4 References and Further Reading 604

17.4.1 Books and Papers 604

17.4.2 Websites 605

17.5 Problems 605

18 Asset-Backed Securities 607

18.1 Description of ABSs 607

18.1.1 Definition 607

18.1.2 Credit Enhancement 607

18.1.3 Cash-Flow Structure 608

18.2 Market Quotes and Pricing 610

18.3 CAT Bonds and CAT Derivatives 612

18.4 End of Chapter Summary 615

18.5 References and Further Reading 615

18.6 Problems 616

Subject Index 617

Author Index 629