Stochastic Processes and Applications to Mathematical Finance
Editor
- Jiro Akahori(Ritsumeikan University, Japan)Shigeyoshi Ogawa(Ritsumeikan University, Japan)Shinzo Watanabe(Ritsumeikan University, Japan)
Abstract
This book contains 17 articles on stochastic processes (stochastic calculus and Malliavin calculus, functionals of Brownian motions and Lévy processes, stochastic control and optimization problems, stochastic numerics, and so on) and their applications to problems in mathematical finance.Individual chapters are listed in the "Chapters" tab
Suggested Citation
- Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), 2004. "Stochastic Processes and Applications to Mathematical Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 5487, August.
Handle: RePEc:wsi:wsbook:5487
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Citations
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Cited by:
- Ankush Agarwal & Stefano de Marco & Emmanuel Gobet & Gang Liu, 2017. "Rare event simulation related to financial risks: efficient estimation and sensitivity analysis," Working Papers hal-01219616, HAL.
- Akihiko Takahashi & Kohta Takehara, 2008. "A Hybrid Asymptotic Expansion Scheme: an Application to Long-term Currency Options ( Revised in April 2008, January 2009 and April 2010; forthcoming in "International Journal of Theoretical and A," CARF F-Series CARF-F-116, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2010. "A Hybrid Asymptotic Expansion Scheme: an Application to Long-term Currency Options," CIRJE F-Series CIRJE-F-734, CIRJE, Faculty of Economics, University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2008. "Fourier Transform Method with an Asymptotic Expansion Approach: an Application to Currency Options," CIRJE F-Series CIRJE-F-538, CIRJE, Faculty of Economics, University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2009. "Asymptotic Expansion Approaches in Finance: Applications to Currency Options," CARF F-Series CARF-F-165, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2007. "Fourier Transform Method with an Asymptotic Expansion Approach: an Application to Currency Options ( Revised in December 2008; subsequently published in "International Journal of Theoretical and ," CARF F-Series CARF-F-097, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2009. "Asymptotic Expansion Approaches in Finance: Applications to Currency Options," CIRJE F-Series CIRJE-F-654, CIRJE, Faculty of Economics, University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2007. "An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates (Revised in August 2007 and January 2009; subseq," CARF F-Series CARF-F-092, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
- Akihiko Takahashi & Kohta Takehara, 2007. "An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates," CIRJE F-Series CIRJE-F-474, CIRJE, Faculty of Economics, University of Tokyo.
Book Chapters
The following chapters of this book are listed in IDEAS- Christophe Berthelot & Mireille Bossy & Denis Talay, 2004. "Numerical Analysis and Misspecifications in Finance: From Model Risk to Localization Error Estimates for Nonlinear PDEs," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 1, pages 1-25, World Scientific Publishing Co. Pte. Ltd..
- Marzia De Donno, 2004. "The Term Structure of Interest Rates as a Random Field: a Stochastic Integration Approach," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 2, pages 27-52, World Scientific Publishing Co. Pte. Ltd..
- Emmanuel Gobet, 2004. "Revisiting the Greeks for European and American Options," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 3, pages 53-71, World Scientific Publishing Co. Pte. Ltd..
- Paolo Guasoni, 2004. "Excursions in the Martingale Hypothesis," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 4, pages 73-95, World Scientific Publishing Co. Pte. Ltd..
- Yasushi Ishikawa, 2004. "Analysis of Jump Processes and Its Application to Optimal Control," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 5, pages 97-118, World Scientific Publishing Co. Pte. Ltd..
- Hidehiro Kaise & Shuenn-Jyi Sheu, 2004. "Structure on Solutions of Ergodic Type Bellman Equations of First and Second Orders: Some Observations through the Singular Limits," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 6, pages 119-132, World Scientific Publishing Co. Pte. Ltd..
- Kenji Kamizono, 2004. "Multivariate Utility Maximization under Transaction Costs," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 7, pages 133-149, World Scientific Publishing Co. Pte. Ltd..
- Arturo Kohatsu-Higa, 2004. "Enlargement of Filtrations and Models for Insider Trading," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 8, pages 151-165, World Scientific Publishing Co. Pte. Ltd..
- Hiroshi Kunita, 2004. "Variational Equality and Portfolio Optimization for Price Processes with Jumps," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 9, pages 167-194, World Scientific Publishing Co. Pte. Ltd..
- Naoto Kunitomo & Akihiko Takahashi, 2004. "Applications of the Asymptotic Expansion Approach based on Malliavin-Watanabe Calculus in Financial Problems," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 10, pages 195-232, World Scientific Publishing Co. Pte. Ltd..
- Shigeo Kusuoka & Syoiti Ninomiya, 2004. "A New Simulation Method of Diffusion Processes Applied to Finance," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 11, pages 233-253, World Scientific Publishing Co. Pte. Ltd..
- Maria Elvira Mancino & Shigeyoshi Ogawa, 2004. "Non Linear Feedback Effects by Hedging Strategies," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 12, pages 255-269, World Scientific Publishing Co. Pte. Ltd..
- Hideo Nagai, 2004. "Risky Fraction Processes and Problems with Transaction Costs," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 13, pages 271-288, World Scientific Publishing Co. Pte. Ltd..
- Shigeyoshi Ogawa, 2004. "Noncausal Cauchy Problem for the Noncausal SDEs," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 14, pages 289-304, World Scientific Publishing Co. Pte. Ltd..
- Eckhard Platen, 2004. "A Benchmark Framework for Risk Management," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 15, pages 305-335, World Scientific Publishing Co. Pte. Ltd..
- Paavo Salminen & Marc Yor, 2004. "On Dufresne's Perpetuity, Translated and Reflected," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 16, pages 337-354, World Scientific Publishing Co. Pte. Ltd..
- Hiroshi Sugita, 2004. "An Analytic Approach to Secure Pseudo-Random Generation," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 17, pages 355-368, World Scientific Publishing Co. Pte. Ltd..
- Jiongmin Yong, 2004. "Some Problems Related to the Black-Scholes Type Security Markets," World Scientific Book Chapters, in: Jiro Akahori & Shigeyoshi Ogawa & Shinzo Watanabe (ed.), Stochastic Processes And Applications To Mathematical Finance, chapter 18, pages 369-400, World Scientific Publishing Co. Pte. Ltd..
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Keywords
Stochastic Processes; Stochastic Differential Equations; Malliavin Calculus; Stochastic Control and Optimization; Functionals of Brownian Motions and Lévy Processes; Stochastic Models of Financial Market; Derivative Pricing; Hedging Problem;All these keywords.
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