On The Martingale Representation Theorem And Approximate Hedging A Contingent Claim In The Minimum Mean Square Deviation Criterion
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Some Topics in Industrial and Applied Mathematics
| Author | : Rolf Jeltsch |
| Publisher | : Dr. Vuong Quan Hoang |
| Total Pages | : 24 |
| Release | : 2007 |
| Genre | : Applied mathematics |
| ISBN | : 7040219034 |
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.
Solution Models based on Symmetric and Asymmetric Information
| Author | : Edmundas Kazimieras Zavadskas |
| Publisher | : MDPI |
| Total Pages | : 202 |
| Release | : 2019-06-05 |
| Genre | : Technology & Engineering |
| ISBN | : 3039210068 |
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.
New Approaches to Hedging
| Author | : Gunther Kaltenböck |
| Publisher | : BRILL |
| Total Pages | : 324 |
| Release | : 2012-11-02 |
| Genre | : Language Arts & Disciplines |
| ISBN | : 9004253246 |
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.
Introduction to Stochastic Calculus with Applications
| Author | : Fima C. Klebaner |
| Publisher | : Imperial College Press |
| Total Pages | : 431 |
| Release | : 2005 |
| Genre | : Mathematics |
| ISBN | : 1860945554 |
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.
Continuous-Time Finance
| Author | : Robert C. Merton |
| Publisher | : Wiley-Blackwell |
| Total Pages | : 754 |
| Release | : 1992-11-03 |
| Genre | : Business & Economics |
| ISBN | : 9780631185086 |
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.
Stochastic Analysis in Discrete and Continuous Settings
| Author | : Nicolas Privault |
| Publisher | : Springer |
| Total Pages | : 322 |
| Release | : 2009-07-14 |
| Genre | : Mathematics |
| ISBN | : 3642023800 |
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.
Hedging Derivatives
| Author | : Thorsten Rheinlander |
| Publisher | : World Scientific |
| Total Pages | : 244 |
| Release | : 2011 |
| Genre | : Business & Economics |
| ISBN | : 981433880X |
Valuation and hedging of financial derivatives are intrinsically linked concepts. Choosing appropriate hedging techniques depends on both the type of derivative and assumptions placed on the underlying stochastic process. This volume provides a systematic treatment of hedging in incomplete markets. Mean-variance hedging under the risk-neutral measure is applied in the framework of exponential L(r)vy processes and for derivatives written on defaultable assets. It is discussed how to complete markets based upon stochastic volatility models via trading in both stocks and vanilla options. Exponential utility indifference pricing is explored via a duality with entropy minimization. Backward stochastic differential equations offer an alternative approach and are moreover applied to study markets with trading constraints including basis risk. A range of optimal martingale measures are discussed including the entropy, Esscher and minimal martingale measures. Quasi-symmetry properties of stochastic processes are deployed in the semi-static hedging of barrier options. This book is directed towards both graduate students and researchers in mathematical finance, and will also provide an orientation to applied mathematicians, financial economists and practitioners wishing to explore recent progress in this field."
Statistics of Financial Markets
| Author | : Jürgen Franke |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 454 |
| Release | : 2004 |
| Genre | : Business & Economics |
| ISBN | : 9783540216759 |
Extreme Value Theory (EVT), GARCH MODELS, Hypothesis Testing, Fitting Probability Distributions to Risk Factors and Portfolios.
Stochastic Differential Equations
| Author | : Bernt Oksendal |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 218 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 3662130505 |
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.
