85,20 €*
Versandkostenfrei per Post / DHL
Lieferzeit 1-2 Wochen
Praise for FOUNDATIONS of the PRICING of FINANCIAL DERIVATIVES
"This book stands out for me in at least two important ways. First, quite incredibly, the authors have succeeded in presenting financial derivatives in a remarkably accessible user-friendly manner that integrates technical derivatives' mathematics with insightful conceptual understanding, enabling students to easily navigate the complex minefield of ideas and applications involved. Second, it combines a strong academic focus with an equivalent emphasis on addressing real-world problems across different echelons of difficulty levels."
-- PRADEEP YADAV, W. Ross Johnston Chair and Professor of Finance, University of Oklahoma
"This is a comprehensive and cleverly developed book on derivatives. It is an excellent text for advanced Master's and Ph.D. students (and for reference by professionals)."
-- JIMMY HILLIARD, Harbert Eminent Scholar and Professor of Finance, Auburn University
"The authors are great storytellers; they make derivatives come alive. The subject is obviously highly technical and intimidating at times, but they have made it so accessible, relevant and, most importantly, fun. The topics covered are comprehensive and yet very selective with all the right choices and emphasis. I wholeheartedly recommend this excellent textbook for both novice and advanced students of derivatives."
--YISONG S. TIAN, Professor of Finance, York University
Praise for FOUNDATIONS of the PRICING of FINANCIAL DERIVATIVES
"This book stands out for me in at least two important ways. First, quite incredibly, the authors have succeeded in presenting financial derivatives in a remarkably accessible user-friendly manner that integrates technical derivatives' mathematics with insightful conceptual understanding, enabling students to easily navigate the complex minefield of ideas and applications involved. Second, it combines a strong academic focus with an equivalent emphasis on addressing real-world problems across different echelons of difficulty levels."
-- PRADEEP YADAV, W. Ross Johnston Chair and Professor of Finance, University of Oklahoma
"This is a comprehensive and cleverly developed book on derivatives. It is an excellent text for advanced Master's and Ph.D. students (and for reference by professionals)."
-- JIMMY HILLIARD, Harbert Eminent Scholar and Professor of Finance, Auburn University
"The authors are great storytellers; they make derivatives come alive. The subject is obviously highly technical and intimidating at times, but they have made it so accessible, relevant and, most importantly, fun. The topics covered are comprehensive and yet very selective with all the right choices and emphasis. I wholeheartedly recommend this excellent textbook for both novice and advanced students of derivatives."
--YISONG S. TIAN, Professor of Finance, York University
ROBERT E. BROOKS, PHD, CFA, is Professor Emeritus of Finance at the University of Alabama. He is the President of Financial Risk Management, LLC, a quantitative finance consulting firm. He is the author of several books and maintains a YouTube channel, [...]
DON M. CHANCE, PHD, CFA, holds the James C. Flores Endowed Chair of MBA Studies and is Professor of Finance at the E.J. Ourso College of Business at Louisiana State University. He is the author of four books on derivatives and risk management. His consulting firm is Omega Risk Advisors, LLC, and his website is [...].
Preface xv
Chapter 1 Introduction and Overview 1
1.1 Motivation for This Book 2
1.2 What Is a Derivative? 6
1.3 Options Versus Forwards, Futures, and Swaps 8
1.4 Size and Scope of the Financial Derivatives Markets 9
1.5 Outline and Features of the Book 12
1.6 Final Thoughts and Preview 14
Questions and Problems 15
Notes 15
Part I Basic Foundations for Derivative Pricing
Chapter 2 Boundaries, Limits, and Conditions on Option Prices 19
2.1 Setup, Definitions, and Arbitrage 20
2.2 Absolute Minimum and Maximum Values 21
2.3 The Value of an American Option Relative to the Value of a European Option 22
2.4 The Value of an Option at Expiration 22
2.5 The Lower Bounds of European and American Options and the Optimality of Early Exercise 23
2.6 Differences in Option Values by Exercise Price 31
2.7 The Effect of Differences in Time to Expiration 37
2.8 The Convexity Rule 38
2.9 Put-Call Parity 40
2.10 The Effect of Interest Rates on Option Prices 47
2.11 The Effect of Volatility on Option Prices 47
2.12 The Building Blocks of European Options 48
2.13 Recap and Preview 49
Questions and Problems 50
Notes 51
Chapter 3 Elementary Review of Mathematics for Finance 53
3.1 Summation Notation 53
3.2 Product Notation 55
3.3 Logarithms and Exponentials 56
3.4 Series Formulas 58
3.5 Calculus Derivatives 59
3.6 Integration 68
3.7 Differential Equations 70
3.8 Recap and Preview 71
Questions and Problems 71
Notes 73
Chapter 4 Elementary Review of Probability for Finance 75
4.1 Marginal, Conditional, and Joint Probabilities 75
4.2 Expectations, Variances, and Covariances of Discrete Random Variables 80
4.3 Continuous Random Variables 86
4.4 Some General Results in Probability Theory 93
4.5 Technical Introduction to Common Probability Distributions Used in Finance 95
4.6 Recap and Preview 109
Questions and Problems 109
Notes 110
Chapter 5 Financial Applications of Probability Distributions 113
5.1 The Univariate Normal Probability Distribution 113
5.2 Contrasting the Normal with the Lognormal Probability Distribution 119
5.3 Bivariate Normal Probability Distribution 123
5.4 The Bivariate Lognormal Probability Distribution 125
5.5 Recap and Preview 126
Appendix 5A An Excel Routine for the Bivariate Normal Probability 126
Questions and Problems 128
Notes 128
Chapter 6 Basic Concepts in Valuing Risky Assets and Derivatives 129
6.1 Valuing Risky Assets 129
6.2 Risk-Neutral Pricing in Discrete Time 130
6.3 Identical Assets and the Law of One Price 133
6.4 Derivative Contracts 134
6.5 A First Look at Valuing Options 136
6.6 A World of Risk-Averse and Risk-Neutral Investors 137
6.7 Pricing Options Under Risk Aversion 138
6.8 Recap and Preview 138
Questions and Problems 139
Notes 139
Part II Discrete Time Derivatives Pricing Theory
Chapter 7 The Binomial Model 143
7.1 The One-Period Binomial Model for Calls 143
7.2 The One-Period Binomial Model for Puts 146
7.3 Arbitraging Price Discrepancies 149
7.4 The Multiperiod Model 151
7.5 American Options and Early Exercise in the Binomial Framework 154
7.6 Dividends and Recombination 155
7.7 Path Independence and Path Dependence 159
7.8 Recap and Preview 159
Appendix 7A Derivation of Equation (7.9) 159
Appendix 7B Pascal's Triangle and the Binomial Model 161
Questions and Problems 163
Notes 163
Chapter 8 Calculating the Greeks in the Binomial Model 165
8.1 Standard Approach 165
8.2 An Enhanced Method for Estimating Delta and Gamma 170
8.3 Numerical Examples 172
8.4 Dividends 174
8.5 Recap and Preview 175
Questions and Problems 175
Notes 176
Chapter 9 Convergence of the Binomial Model to the Black-Scholes-Merton Model 177
9.1 Setting Up the Problem 177
9.2 The Hsia Proof 181
9.3 Put Options 187
9.4 Dividends 188
9.5 Recap and Preview 188
Questions and Problems 189
Notes 190
Part III Continuous Time Derivatives Pricing Theory
Chapter 10 The Basics of Brownian Motion and Wiener Processes 193
10.1 Brownian Motion 193
10.2 The Wiener Process 195
10.3 Properties of a Model of Asset Price Fluctuations 196
10.4 Building a Model of Asset Price Fluctuations 199
10.5 Simulating Brownian Motion and Wiener Processes 202
10.6 Formal Statement of Wiener Process Properties 205
10.7 Recap and Preview 207
Appendix 10A Simulation of the Wiener Process and the Square of the Wiener Process for Successively Smaller Time Intervals 207
Questions and Problems 208
Notes 209
Chapter 11 Stochastic Calculus and Itô's Lemma 211
11.1 A Result from Basic Calculus 211
11.2 Introducing Stochastic Calculus and Itô's Lemma 212
11.3 Itô's Integral 215
11.4 The Integral Form of Itô's Lemma 216
11.5 Some Additional Cases of Itô's Lemma 217
11.6 Recap and Preview 219
Appendix 11A Technical Stochastic Integral Results 220
11A.1 Selected Stochastic Integral Results 220
11A.2 A General Linear Theorem 224
Questions and Problems 229
Notes 230
Chapter 12 Properties of the Lognormal and Normal Diffusion Processes for Modeling Assets 231
12.1 A Stochastic Process for the Asset Relative Return 232
12.2 A Stochastic Process for the Asset Price Change 235
12.3 Solving the Stochastic Differential Equation 236
12.4 Solutions to Stochastic Differential Equations Are Not Always the Same as Solutions to Corresponding Ordinary Differential Equations 237
12.5 Finding the Expected Future Asset Price 238
12.6 Geometric Brownian Motion or Arithmetic Brownian Motion? 240
12.7 Recap and Preview 241
Questions and Problems 242
Notes 242
Chapter 13 Deriving the Black-Scholes-Merton Model 245
13.1 Derivation of the European Call Option Pricing Formula 245
13.2 The European Put Option Pricing Formula 249
13.3 Deriving the Black-Scholes-Merton Model as an Expected Value 250
13.4 Deriving the Black-Scholes-Merton Model as the Solution of a Partial Differential Equation 254
13.5 Decomposing the Black-Scholes-Merton Model into Binary Options 258
13.6 Black-Scholes-Merton Option Pricing When There Are Dividends 259
13.7 Selected Black-Scholes-Merton Model Limiting Results 259
13.8 Computing the Black-Scholes-Merton Option Pricing Model Values 262
13.9 Recap and Preview 265
Appendix 13.A Deriving the Arithmetic Brownian Motion Option Pricing Model 265
Questions and Problems 269
Notes 270
Chapter 14 The Greeks in the Black-Scholes-Merton Model 271
14.1 Delta: The First Derivative with Respect to the Underlying Price 274
14.2 Gamma: The Second Derivative with Respect to the Underlying Price 274
14.3 Theta: The First Derivative with Respect to Time 275
14.4 Verifying the Solution of the Partial Differential Equation 275
14.5 Selected Other Partial Derivatives of the Black-Scholes-Merton Model 277
14.6 Partial Derivatives of the Black-Scholes-Merton European Put Option Pricing Model 278
14.7 Incorporating Dividends 279
14.8 Greek Sensitivities 280
14.9 Elasticities 283
14.10 Extended Greeks of the Black-Scholes-Merton Option Pricing Model 284
14.11 Recap and Preview 284
Questions and Problems 285
Notes 286
Chapter 15 Girsanov's Theorem in Option Pricing 287
15.1 The Martingale Representation Theorem 287
15.2 Introducing the Radon-Nikodym Derivative by Changing the Drift for a Single Random Variable 289
15.3 A Complete Probability Space 291
15.4 Formal Statement of Girsanov's Theorem 292
15.5 Changing the Drift in a Continuous Time Stochastic Process 293
15.6 Changing the Drift of an Asset Price Process 297
15.7 Recap and Preview 300
Questions and Problems 301
Notes 302
Chapter 16 Connecting Discrete and Continuous Brownian Motions 303
16.1 Brownian Motion in a Discrete World 303
16.2 Moving from a Discrete to a Continuous World 306
16.3 Changing the Probability Measure with the Radon-Nikodym Derivative in Discrete Time 310
16.4 The Kolmogorov Equations 313
16.5 Recap and Preview 321
Questions and Problems 322
Notes 322
Part IV Extensions and Generalizations of Derivative Pricing
Chapter 17 Applying Linear Homogeneity to Option Pricing 327
17.1 Introduction to Exchange Options 327
17.2 Homogeneous Functions 328
17.3 Euler's Rule 330
17.4 Using Linear Homogeneity and Euler's Rule to Derive the Black-Scholes-Merton Model 330
17.5 Exchange Option Pricing 333
17.6 Spread Options 337
17.7 Forward Start Options 339
17.8 Recap and Preview 341
Appendix 17A Linear Homogeneity and the Arithmetic Brownian Motion Model 342
Appendix 17B Multivariate Itô's Lemma 344
Appendix 17C Greeks of the Exchange Option Model 345
Questions and Problems 347
Notes 347
Chapter 18 Compound Option Pricing 349
18.1 Equity as an Option 350
18.2 Valuing an Option on the Equity as a Compound Option 351
18.3 Compound Option...
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Betriebswirtschaft |
| Genre: | Wirtschaft |
| Rubrik: | Recht & Wirtschaft |
| Medium: | Buch |
| Inhalt: |
Preface xvChapter 1 Introduction and Overview 11.1 Motivation for This Book 21.2 What Is a Derivative? 61.3 Options Versus Forwards
Futures and Swaps 81.4 Size and Scope of the Financial Derivatives Markets 91.5 Outline and Features of the Book 121.6 F |
| ISBN-13: | 9781394179657 |
| ISBN-10: | 1394179650 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Chance, Don M.
Brooks, Robert E. |
| Hersteller: | John Wiley & Sons Inc |
| Maße: | 261 x 185 x 45 mm |
| Von/Mit: | Don M. Chance (u. a.) |
| Erscheinungsdatum: | 25.01.2024 |
| Gewicht: | 1,354 kg |
ROBERT E. BROOKS, PHD, CFA, is Professor Emeritus of Finance at the University of Alabama. He is the President of Financial Risk Management, LLC, a quantitative finance consulting firm. He is the author of several books and maintains a YouTube channel, [...]
DON M. CHANCE, PHD, CFA, holds the James C. Flores Endowed Chair of MBA Studies and is Professor of Finance at the E.J. Ourso College of Business at Louisiana State University. He is the author of four books on derivatives and risk management. His consulting firm is Omega Risk Advisors, LLC, and his website is [...].
Preface xv
Chapter 1 Introduction and Overview 1
1.1 Motivation for This Book 2
1.2 What Is a Derivative? 6
1.3 Options Versus Forwards, Futures, and Swaps 8
1.4 Size and Scope of the Financial Derivatives Markets 9
1.5 Outline and Features of the Book 12
1.6 Final Thoughts and Preview 14
Questions and Problems 15
Notes 15
Part I Basic Foundations for Derivative Pricing
Chapter 2 Boundaries, Limits, and Conditions on Option Prices 19
2.1 Setup, Definitions, and Arbitrage 20
2.2 Absolute Minimum and Maximum Values 21
2.3 The Value of an American Option Relative to the Value of a European Option 22
2.4 The Value of an Option at Expiration 22
2.5 The Lower Bounds of European and American Options and the Optimality of Early Exercise 23
2.6 Differences in Option Values by Exercise Price 31
2.7 The Effect of Differences in Time to Expiration 37
2.8 The Convexity Rule 38
2.9 Put-Call Parity 40
2.10 The Effect of Interest Rates on Option Prices 47
2.11 The Effect of Volatility on Option Prices 47
2.12 The Building Blocks of European Options 48
2.13 Recap and Preview 49
Questions and Problems 50
Notes 51
Chapter 3 Elementary Review of Mathematics for Finance 53
3.1 Summation Notation 53
3.2 Product Notation 55
3.3 Logarithms and Exponentials 56
3.4 Series Formulas 58
3.5 Calculus Derivatives 59
3.6 Integration 68
3.7 Differential Equations 70
3.8 Recap and Preview 71
Questions and Problems 71
Notes 73
Chapter 4 Elementary Review of Probability for Finance 75
4.1 Marginal, Conditional, and Joint Probabilities 75
4.2 Expectations, Variances, and Covariances of Discrete Random Variables 80
4.3 Continuous Random Variables 86
4.4 Some General Results in Probability Theory 93
4.5 Technical Introduction to Common Probability Distributions Used in Finance 95
4.6 Recap and Preview 109
Questions and Problems 109
Notes 110
Chapter 5 Financial Applications of Probability Distributions 113
5.1 The Univariate Normal Probability Distribution 113
5.2 Contrasting the Normal with the Lognormal Probability Distribution 119
5.3 Bivariate Normal Probability Distribution 123
5.4 The Bivariate Lognormal Probability Distribution 125
5.5 Recap and Preview 126
Appendix 5A An Excel Routine for the Bivariate Normal Probability 126
Questions and Problems 128
Notes 128
Chapter 6 Basic Concepts in Valuing Risky Assets and Derivatives 129
6.1 Valuing Risky Assets 129
6.2 Risk-Neutral Pricing in Discrete Time 130
6.3 Identical Assets and the Law of One Price 133
6.4 Derivative Contracts 134
6.5 A First Look at Valuing Options 136
6.6 A World of Risk-Averse and Risk-Neutral Investors 137
6.7 Pricing Options Under Risk Aversion 138
6.8 Recap and Preview 138
Questions and Problems 139
Notes 139
Part II Discrete Time Derivatives Pricing Theory
Chapter 7 The Binomial Model 143
7.1 The One-Period Binomial Model for Calls 143
7.2 The One-Period Binomial Model for Puts 146
7.3 Arbitraging Price Discrepancies 149
7.4 The Multiperiod Model 151
7.5 American Options and Early Exercise in the Binomial Framework 154
7.6 Dividends and Recombination 155
7.7 Path Independence and Path Dependence 159
7.8 Recap and Preview 159
Appendix 7A Derivation of Equation (7.9) 159
Appendix 7B Pascal's Triangle and the Binomial Model 161
Questions and Problems 163
Notes 163
Chapter 8 Calculating the Greeks in the Binomial Model 165
8.1 Standard Approach 165
8.2 An Enhanced Method for Estimating Delta and Gamma 170
8.3 Numerical Examples 172
8.4 Dividends 174
8.5 Recap and Preview 175
Questions and Problems 175
Notes 176
Chapter 9 Convergence of the Binomial Model to the Black-Scholes-Merton Model 177
9.1 Setting Up the Problem 177
9.2 The Hsia Proof 181
9.3 Put Options 187
9.4 Dividends 188
9.5 Recap and Preview 188
Questions and Problems 189
Notes 190
Part III Continuous Time Derivatives Pricing Theory
Chapter 10 The Basics of Brownian Motion and Wiener Processes 193
10.1 Brownian Motion 193
10.2 The Wiener Process 195
10.3 Properties of a Model of Asset Price Fluctuations 196
10.4 Building a Model of Asset Price Fluctuations 199
10.5 Simulating Brownian Motion and Wiener Processes 202
10.6 Formal Statement of Wiener Process Properties 205
10.7 Recap and Preview 207
Appendix 10A Simulation of the Wiener Process and the Square of the Wiener Process for Successively Smaller Time Intervals 207
Questions and Problems 208
Notes 209
Chapter 11 Stochastic Calculus and Itô's Lemma 211
11.1 A Result from Basic Calculus 211
11.2 Introducing Stochastic Calculus and Itô's Lemma 212
11.3 Itô's Integral 215
11.4 The Integral Form of Itô's Lemma 216
11.5 Some Additional Cases of Itô's Lemma 217
11.6 Recap and Preview 219
Appendix 11A Technical Stochastic Integral Results 220
11A.1 Selected Stochastic Integral Results 220
11A.2 A General Linear Theorem 224
Questions and Problems 229
Notes 230
Chapter 12 Properties of the Lognormal and Normal Diffusion Processes for Modeling Assets 231
12.1 A Stochastic Process for the Asset Relative Return 232
12.2 A Stochastic Process for the Asset Price Change 235
12.3 Solving the Stochastic Differential Equation 236
12.4 Solutions to Stochastic Differential Equations Are Not Always the Same as Solutions to Corresponding Ordinary Differential Equations 237
12.5 Finding the Expected Future Asset Price 238
12.6 Geometric Brownian Motion or Arithmetic Brownian Motion? 240
12.7 Recap and Preview 241
Questions and Problems 242
Notes 242
Chapter 13 Deriving the Black-Scholes-Merton Model 245
13.1 Derivation of the European Call Option Pricing Formula 245
13.2 The European Put Option Pricing Formula 249
13.3 Deriving the Black-Scholes-Merton Model as an Expected Value 250
13.4 Deriving the Black-Scholes-Merton Model as the Solution of a Partial Differential Equation 254
13.5 Decomposing the Black-Scholes-Merton Model into Binary Options 258
13.6 Black-Scholes-Merton Option Pricing When There Are Dividends 259
13.7 Selected Black-Scholes-Merton Model Limiting Results 259
13.8 Computing the Black-Scholes-Merton Option Pricing Model Values 262
13.9 Recap and Preview 265
Appendix 13.A Deriving the Arithmetic Brownian Motion Option Pricing Model 265
Questions and Problems 269
Notes 270
Chapter 14 The Greeks in the Black-Scholes-Merton Model 271
14.1 Delta: The First Derivative with Respect to the Underlying Price 274
14.2 Gamma: The Second Derivative with Respect to the Underlying Price 274
14.3 Theta: The First Derivative with Respect to Time 275
14.4 Verifying the Solution of the Partial Differential Equation 275
14.5 Selected Other Partial Derivatives of the Black-Scholes-Merton Model 277
14.6 Partial Derivatives of the Black-Scholes-Merton European Put Option Pricing Model 278
14.7 Incorporating Dividends 279
14.8 Greek Sensitivities 280
14.9 Elasticities 283
14.10 Extended Greeks of the Black-Scholes-Merton Option Pricing Model 284
14.11 Recap and Preview 284
Questions and Problems 285
Notes 286
Chapter 15 Girsanov's Theorem in Option Pricing 287
15.1 The Martingale Representation Theorem 287
15.2 Introducing the Radon-Nikodym Derivative by Changing the Drift for a Single Random Variable 289
15.3 A Complete Probability Space 291
15.4 Formal Statement of Girsanov's Theorem 292
15.5 Changing the Drift in a Continuous Time Stochastic Process 293
15.6 Changing the Drift of an Asset Price Process 297
15.7 Recap and Preview 300
Questions and Problems 301
Notes 302
Chapter 16 Connecting Discrete and Continuous Brownian Motions 303
16.1 Brownian Motion in a Discrete World 303
16.2 Moving from a Discrete to a Continuous World 306
16.3 Changing the Probability Measure with the Radon-Nikodym Derivative in Discrete Time 310
16.4 The Kolmogorov Equations 313
16.5 Recap and Preview 321
Questions and Problems 322
Notes 322
Part IV Extensions and Generalizations of Derivative Pricing
Chapter 17 Applying Linear Homogeneity to Option Pricing 327
17.1 Introduction to Exchange Options 327
17.2 Homogeneous Functions 328
17.3 Euler's Rule 330
17.4 Using Linear Homogeneity and Euler's Rule to Derive the Black-Scholes-Merton Model 330
17.5 Exchange Option Pricing 333
17.6 Spread Options 337
17.7 Forward Start Options 339
17.8 Recap and Preview 341
Appendix 17A Linear Homogeneity and the Arithmetic Brownian Motion Model 342
Appendix 17B Multivariate Itô's Lemma 344
Appendix 17C Greeks of the Exchange Option Model 345
Questions and Problems 347
Notes 347
Chapter 18 Compound Option Pricing 349
18.1 Equity as an Option 350
18.2 Valuing an Option on the Equity as a Compound Option 351
18.3 Compound Option...
| Erscheinungsjahr: | 2024 |
|---|---|
| Fachbereich: | Betriebswirtschaft |
| Genre: | Wirtschaft |
| Rubrik: | Recht & Wirtschaft |
| Medium: | Buch |
| Inhalt: |
Preface xvChapter 1 Introduction and Overview 11.1 Motivation for This Book 21.2 What Is a Derivative? 61.3 Options Versus Forwards
Futures and Swaps 81.4 Size and Scope of the Financial Derivatives Markets 91.5 Outline and Features of the Book 121.6 F |
| ISBN-13: | 9781394179657 |
| ISBN-10: | 1394179650 |
| Sprache: | Englisch |
| Einband: | Gebunden |
| Autor: |
Chance, Don M.
Brooks, Robert E. |
| Hersteller: | John Wiley & Sons Inc |
| Maße: | 261 x 185 x 45 mm |
| Von/Mit: | Don M. Chance (u. a.) |
| Erscheinungsdatum: | 25.01.2024 |
| Gewicht: | 1,354 kg |
Ähnliche Produkte
Aktuell nicht verfügbar
Aktuell nicht verfügbar
Aktuell nicht verfügbar
Aktuell nicht verfügbar
Aktuell nicht verfügbar
Aktuell nicht verfügbar
