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STOCHASTIC PROCESSES AND APPLICATIONS TO MATHEMATICAL FINANCE
Proceedings of the Ritsumeikan International Symposium
Kasatu, Shiga, Japan, 5 - 9 March 2003
CONTENTS
FRONT MATTER
i
Numerical Analysis and Misspecifications in Finance: From Model Risk to Localization Error Estimates for Nonlinear PDEs
Christophe Berthelot
, Mireille Bossy
and Denis Talay
1
The Term Structure of Interest Rates as a Random Field: a Stochastic Integration Approach
Marzia De Donno
27
Revisiting the Greeks for European and American Options
Emmanuel Gobet
53
Excursions in the Martingale Hypothesis
Paolo Guasoni
73
Analysis of Jump Processes and Its Application to Optimal Control
Yasushi Ishikawa
97
Structure on Solutions of Ergodic Type Bellman Equations of First and Second Orders: Some Observations through the Singular Limits
Hidehiro Kaise
and Shuenn-Jyi Sheu
119
Multivariate Utility Maximization under Transaction Costs
Kenji Kamizono
133
Enlargement of Filtrations and Models for Insider Trading
Arturo Kohatsu-Higa
151
Variational Equality and Portfolio Optimization for Price Processes with Jumps
Hiroshi Kunita
167
Applications of the Asymptotic Expansion Approach based on Malliavin-Watanabe Calculus in Financial Problems
Naoto Kunitomo
and Akihiko Takahashi
195
A New Simulation Method of Diffusion Processes Applied to Finance
Shigeo Kusuoka
and Syoiti Ninomiya
233
Non Linear Feedback Effects by Hedging Strategies
Maria Elvira Mancino
and Shigeyoshi Ogawa
255
Risky Fraction Processes and Problems with Transaction Costs
Hideo Nagai
271
Noncausal Cauchy Problem for the Noncausal SDEs
Shigeyoshi Ogawa
289
A Benchmark Framework for Risk Management
Eckhard Platen
305
On Dufresne's Perpetuity, Translated and Reflected
Paavo Salminen
and Marc Yor
337
An Analytic Approach to Secure Pseudo-Random Generation
Hiroshi Sugita
355
Some Problems Related to the Black-Scholes Type Security Markets
Jiongmin Yong
369
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