Download or read book On the martingale representation theorem and approximate hedging a contingent claim in the minimum mean square deviation criterion written by and published by Dr. Vuong Quan Hoang. This book was released on with total page 12 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A proposition on the martingale representation theorem and on the approximate hedging of contingent claim in mean variance criterion written by and published by Dr. Vuong Quan Hoang. This book was released on with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Topics in Industrial and Applied Mathematics written by Rolf Jeltsch and published by Dr. Vuong Quan Hoang. This book was released on 2007 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Shanghai Forum on Industrial and Applied Mathematics was organized in May 2006 on the occasion that many famous industrial and applied mathematicians gathered in Shanghai from different countries to participate in the Officers' Meeting and the Board Meeting of the ICIAM (International Council for Industrial and Applied Mathematics). This volume collects the material covered by the majority of the lectures of which reflects panoramically recent results and trends in industrial and applied mathematics. This book will be very useful for graduate students and researchers in industrial and applied mathematics.
Download or read book Solution Models based on Symmetric and Asymmetric Information written by Edmundas Kazimieras Zavadskas and published by MDPI. This book was released on 2019-06-05 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Special Issue covers symmetry and asymmetry phenomena occurring in real-life problems. We invited authors to submit their theoretical or experimental research presenting engineering and economic problem solution models dealing with the symmetry or asymmetry of different types of information. The issue gained interest in the research community and received many submissions. After rigorous scientific evaluation by editors and reviewers, nine papers were accepted and published. The authors proposed different MADM and MODM solution models as integrated tools to find a balance between the components of sustainable global development, to find a symmetry axis concerning goals, risks, and constraints to cope with the complicated problems. Most approaches suggested decision models under uncertainty, combining the usual decision-making methods with interval-valued fuzzy or rough sets theory, also Z numbers. The application fields of the proposed models involved both problems of technological sciences and social sciences. The papers cover three essential areas: engineering, economy, and management. We hope that a summary of the Special Issue as provided here will encourage a detailed analysis of the papers included in the Printed Edition.
Download or read book Martingale Approximation written by Yu. V. Borovskikh and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-01-14 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: No detailed description available for "Martingale Approximation".
Download or read book Martingale Representation Hedging Policies and Contingent Claims written by David Bryan Colwell and published by . This book was released on 1991 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Discrete Time Quadratic Optimal Hedging for European Contingent Claims written by Easwar Subramanian and published by . This book was released on 2015 with total page 29 pages. Available in PDF, EPUB and Kindle. Book excerpt: We revisit the problem of optimally hedging a European contingent claim (ECC) using a hedging portfolio consisting of a risky asset that can be traded at pre-specified discrete times. The objective function to be minimized is either the second-moment or the variance of the hedging error calculated in the market probability measure. The main outcome of our work is to show that unique solutions exist in a larger class of admissible strategies under integrability and non-degeneracy conditions on the hedging asset price process that are weaker than previously thought possible. Specifically, we do not require the hedging asset price process to be square-integrable, and do not use the bounded mean-variance trade off assumption. Our criterion for admissible strategies only requires the cumulative trading gain, and not the incremental trading gains, to be square integrable. We derive explicit expressions for the second-moment and the variance of the hedging error to arrive at the respective optimal hedging strategies. We use the expressions mentioned above to also give explicit solutions to two constrained mean-variance frontier problems, namely, minimizing the variance subject to a lower bound on the mean profit, and maximizing the mean profit subject to an upper bound on the variance. Further, we explain the connections between our solution and that of the previous formulations. Finally, we identify the associated variance-optimal martingale measure and provide an expression for the L2-approximation price of the hedged ECC in that measure.
Download or read book Martingale Representation for Poisson Processess with Applications to Minimal Variance Hedging written by Günter Last and published by . This book was released on 2010 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Stochastic Calculus with Applications written by Fima C. Klebaner and published by Imperial College Press. This book was released on 2005 with total page 431 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a concise treatment of stochastic calculus and its applications. It gives a simple but rigorous treatment of the subject including a range of advanced topics, it is useful for practitioners who use advanced theoretical results. It covers advanced applications, such as models in mathematical finance, biology and engineering.Self-contained and unified in presentation, the book contains many solved examples and exercises. It may be used as a textbook by advanced undergraduates and graduate students in stochastic calculus and financial mathematics. It is also suitable for practitioners who wish to gain an understanding or working knowledge of the subject. For mathematicians, this book could be a first text on stochastic calculus; it is good companion to more advanced texts by a way of examples and exercises. For people from other fields, it provides a way to gain a working knowledge of stochastic calculus. It shows all readers the applications of stochastic calculus methods and takes readers to the technical level required in research and sophisticated modelling.This second edition contains a new chapter on bonds, interest rates and their options. New materials include more worked out examples in all chapters, best estimators, more results on change of time, change of measure, random measures, new results on exotic options, FX options, stochastic and implied volatility, models of the age-dependent branching process and the stochastic Lotka-Volterra model in biology, non-linear filtering in engineering and five new figures.Instructors can obtain slides of the text from the author.
Download or read book Continuous Time Finance written by Robert C. Merton and published by Wiley-Blackwell. This book was released on 1992-11-03 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Robert C. Merton's widely-used text provides an overview and synthesis of finance theory from the perspective of continuous-time analysis. It covers individual finance choice, corporate finance, financial intermediation, capital markets, and selected topics on the interface between private and public finance.
Download or read book New Approaches to Hedging written by Gunther Kaltenböck and published by BRILL. This book was released on 2012-11-02 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hedging is an essential part of everyday communication. It is a discourse strategy which is used to reduce commitment to the force or truth of an utterance to achieve an appropriate pragmatic effect. In recent years hedges have therefore attracted increased attention in Pragmatics and Applied Linguistics, with studies approaching the concept of hedging from various perspectives, such as speech act - and politeness theory, genre-specific investigations, interactional pragmatics, and studies of vague language. The present volume provides an up-to-date overview of current research on the topic by bringing together studies from a variety of fields. The contributions span a range of different languages, investigate the use of hedges in different communicative settings and text types, and consider all levels of linguistic analysis from prosody to morphology, syntax and semantics. What unites the different studies in this volume is a corpus-based approach, in which various theoretical concepts and categories are applied to, and tested against, actual language data. This allows for patterns of use to be uncovered which have previously gone unnoticed and provides valuable insights for the adjustment and fine-tuning of existing categories. The usage-based approach of the investigations therefore offers new theoretical and descriptive perspectives on the context-dependent nature and multifunctionality of hedges.
Download or read book Stochastic Differential Equations written by Bernt Oksendal and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: These notes are based on a postgraduate course I gave on stochastic differential equations at Edinburgh University in the spring 1982. No previous knowledge about the subject was assumed, but the presen tation is based on some background in measure theory. There are several reasons why one should learn more about stochastic differential equations: They have a wide range of applica tions outside mathematics, there are many fruitful connections to other mathematical disciplines and the subject has a rapidly develop ing life of its own as a fascinating research field with many interesting unanswered questions. Unfortunately most of the literature about stochastic differential equations seems to place so much emphasis on rigor and complete ness that is scares many nonexperts away. These notes are an attempt to approach the subject from the nonexpert point of view: Not knowing anything (except rumours, maybe) about a subject to start with, what would I like to know first of all? My answer would be: 1) In what situations does the subject arise? 2) What are its essential features? 3) What are the applications and the connections to other fields? I would not be so interested in the proof of the most general case, but rather in an easier proof of a special case, which may give just as much of the basic idea in the argument. And I would be willing to believe some basic results without proof (at first stage, anyway) in order to have time for some more basic applications.
Download or read book Backward Stochastic Differential Equations written by N El Karoui and published by CRC Press. This book was released on 1997-01-17 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the texts of seminars presented during the years 1995 and 1996 at the Université Paris VI and is the first attempt to present a survey on this subject. Starting from the classical conditions for existence and unicity of a solution in the most simple case-which requires more than basic stochartic calculus-several refinements on the hypotheses are introduced to obtain more general results.
Download or read book Financial Modelling with Jump Processes written by Peter Tankov and published by CRC Press. This book was released on 2003-12-30 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt: WINNER of a Riskbook.com Best of 2004 Book Award! During the last decade, financial models based on jump processes have acquired increasing popularity in risk management and option pricing. Much has been published on the subject, but the technical nature of most papers makes them difficult for nonspecialists to understand, and the mathematic
Download or read book Statistics of Financial Markets written by Jürgen Franke and published by Springer Science & Business Media. This book was released on 2004 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Extreme Value Theory (EVT), GARCH MODELS, Hypothesis Testing, Fitting Probability Distributions to Risk Factors and Portfolios.
Download or read book Dynamic Asset Pricing Theory written by Darrell Duffie and published by Princeton University Press. This book was released on 2010-01-27 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a thoroughly updated edition of Dynamic Asset Pricing Theory, the standard text for doctoral students and researchers on the theory of asset pricing and portfolio selection in multiperiod settings under uncertainty. The asset pricing results are based on the three increasingly restrictive assumptions: absence of arbitrage, single-agent optimality, and equilibrium. These results are unified with two key concepts, state prices and martingales. Technicalities are given relatively little emphasis, so as to draw connections between these concepts and to make plain the similarities between discrete and continuous-time models. Readers will be particularly intrigued by this latest edition's most significant new feature: a chapter on corporate securities that offers alternative approaches to the valuation of corporate debt. Also, while much of the continuous-time portion of the theory is based on Brownian motion, this third edition introduces jumps--for example, those associated with Poisson arrivals--in order to accommodate surprise events such as bond defaults. Applications include term-structure models, derivative valuation, and hedging methods. Numerical methods covered include Monte Carlo simulation and finite-difference solutions for partial differential equations. Each chapter provides extensive problem exercises and notes to the literature. A system of appendixes reviews the necessary mathematical concepts. And references have been updated throughout. With this new edition, Dynamic Asset Pricing Theory remains at the head of the field.
Download or read book Stochastic Analysis in Discrete and Continuous Settings written by Nicolas Privault and published by Springer. This book was released on 2009-07-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is an introduction to some aspects of stochastic analysis in the framework of normal martingales, in both discrete and continuous time. The text is mostly self-contained, except for Section 5.7 that requires some background in geometry, and should be accessible to graduate students and researchers having already received a basic training in probability. Prereq- sites are mostly limited to a knowledge of measure theory and probability, namely?-algebras,expectations,andconditionalexpectations.Ashortint- duction to stochastic calculus for continuous and jump processes is given in Chapter 2 using normal martingales, whose predictable quadratic variation is the Lebesgue measure. There already exists several books devoted to stochastic analysis for c- tinuous di?usion processes on Gaussian and Wiener spaces, cf. e.g. [51], [63], [65], [72], [83], [84], [92], [128], [134], [143], [146], [147]. The particular f- ture of this text is to simultaneously consider continuous processes and jump processes in the uni?ed framework of normal martingales.
