
The Volatility Surface
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"...I do recommend this book..." (Zentralblatt MATH , Vol. 1118 2007/20)More details
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Content
- Intro
- The Volatility Surface: A Practitioner's Guide
- Contents
- Figures
- Tables
- Foreword
- Preface
- HOW THIS BOOK IS ORGANIZED
- Acknowledgments
- Chapter 1: Stochastic Volatility and Local Volatility
- STOCHASTIC VOLATILITY
- LOCAL VOLATILITY
- Chapter 2: The Heston Model
- THE PROCESS
- THE HESTON SOLUTION FOR EUROPEAN OPTIONS
- DERIVATION OF THE HESTON CHARACTERISTIC FUNCTION
- SIMULATION OF THE HESTON PROCESS
- Chapter 3: The Implied Volatility Surface
- GETTING IMPLIED VOLATILITY FROM LOCAL VOLATILITIES
- LOCAL VOLATILITY IN THE HESTON MODEL
- IMPLIED VOLATILITY IN THE HESTON MODEL
- THE SPX IMPLIED VOLATILITY SURFACE
- Chapter 4: The Heston-Nandi Model
- LOCAL VARIANCE IN THE HESTON-NANDI MODEL
- A NUMERICAL EXAMPLE
- DISCUSSION OF RESULTS
- Chapter 5: Adding Jumps
- WHY JUMPS ARE NEEDED
- JUMP DIFFUSION
- CHARACTERISTIC FUNCTION METHODS
- STOCHASTIC VOLATILITY PLUS JUMPS
- Chapter 6: Modeling Default Risk
- MERTON'S MODEL OF DEFAULT
- CAPITAL STRUCTURE ARBITRAGE
- LOCAL AND IMPLIED VOLATILITY IN THE JUMP-TO-RUIN MODEL
- THE EFFECT OF DEFAULT RISK ON OPTION PRICES
- THE CREDITGRADES MODEL
- Chapter 7: Volatility Surface Asymptotics
- SHORT EXPIRATIONS
- THE MEDVEDEV-SCAILLET RESULT
- INCLUDING JUMPS
- LONG EXPIRATIONS: FOUQUE, PAPANICOLAOU, AND SIRCAR
- SMALL VOLATILITY OF VOLATILITY: LEWIS
- EXTREME STRIKES: ROGER LEE
- ASYMPTOTICS IN SUMMARY
- Chapter 8: Dynamics of the Volatility Surface
- DYNAMICS OF THE VOLATILITY SKEW UNDER STOCHASTIC VOLATILITY
- DYNAMICS OF THE VOLATILITY SKEW UNDER LOCAL VOLATILITY
- STOCHASTIC IMPLIED VOLATILITY MODELS
- DIGITAL OPTIONS AND DIGITAL CLIQUETS
- Chapter 9: Barrier Options
- DEFINITIONS
- LIMITING CASES
- THE REFLECTION PRINCIPLE
- THE LOOKBACK HEDGING ARGUMENT
- PUT-CALL SYMMETRY
- QUASISTATIC HEDGING AND QUALITATIVE VALUATION
- ADJUSTING FOR DISCRETE MONITORING
- PARISIAN OPTIONS
- SOME APPLICATIONS OF BARRIER OPTIONS
- CONCLUSION
- Chapter 10: Exotic Cliquets
- LOCALLY CAPPED GLOBALLY FLOORED CLIQUET
- REVERSE CLIQUET
- NAPOLEON
- Chapter 11: Volatility Derivatives
- SPANNING GENERALIZED EUROPEAN PAYOFFS
- VARIANCE AND VOLATILITY SWAPS
- VALUING VOLATILITY DERIVATIVES
- LISTED QUADRATIC-VARIATION BASED SECURITIES
- SUMMARY
- Postscript
- Bibliography
- Index
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