On the martingale representation theorem and approximate hedging a contingent claim in the minimum mean square deviation criterion

On the martingale representation theorem and approximate hedging a contingent claim in the minimum mean square deviation criterion PDF Author:
Publisher: Dr. Vuong Quan Hoang
ISBN:
Category :
Languages : en
Pages : 12

Get Book Here

Book Description

On the martingale representation theorem and approximate hedging a contingent claim in the minimum mean square deviation criterion

On the martingale representation theorem and approximate hedging a contingent claim in the minimum mean square deviation criterion PDF Author:
Publisher: Dr. Vuong Quan Hoang
ISBN:
Category :
Languages : en
Pages : 12

Get Book Here

Book Description


Some Topics in Industrial and Applied Mathematics

Some Topics in Industrial and Applied Mathematics PDF Author: Rolf Jeltsch
Publisher: Dr. Vuong Quan Hoang
ISBN: 7040219034
Category : Applied mathematics
Languages : en
Pages : 24

Get Book Here

Book Description
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

Solution Models based on Symmetric and Asymmetric Information PDF Author: Edmundas Kazimieras Zavadskas
Publisher: MDPI
ISBN: 3039210068
Category : Technology & Engineering
Languages : en
Pages : 202

Get Book Here

Book Description
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

New Approaches to Hedging PDF Author: Gunther Kaltenböck
Publisher: BRILL
ISBN: 9004253246
Category : Language Arts & Disciplines
Languages : en
Pages : 324

Get Book Here

Book Description
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

Introduction to Stochastic Calculus with Applications PDF Author: Fima C. Klebaner
Publisher: Imperial College Press
ISBN: 1860945554
Category : Mathematics
Languages : en
Pages : 431

Get Book Here

Book Description
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

Continuous-Time Finance PDF Author: Robert C. Merton
Publisher: Wiley-Blackwell
ISBN: 9780631185086
Category : Business & Economics
Languages : en
Pages : 754

Get Book Here

Book Description
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.

Statistics of Financial Markets

Statistics of Financial Markets PDF Author: Jürgen Franke
Publisher: Springer Science & Business Media
ISBN: 9783540216759
Category : Business & Economics
Languages : en
Pages : 454

Get Book Here

Book Description
Extreme Value Theory (EVT), GARCH MODELS, Hypothesis Testing, Fitting Probability Distributions to Risk Factors and Portfolios.

Hedging Derivatives

Hedging Derivatives PDF Author: Thorsten Rheinlander
Publisher: World Scientific
ISBN: 981433880X
Category : Business & Economics
Languages : en
Pages : 244

Get Book Here

Book Description
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."

Stochastic Differential Equations

Stochastic Differential Equations PDF Author: Bernt Oksendal
Publisher: Springer Science & Business Media
ISBN: 3662130505
Category : Mathematics
Languages : en
Pages : 218

Get Book Here

Book Description
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.

Financial Modelling with Jump Processes

Financial Modelling with Jump Processes PDF Author: Peter Tankov
Publisher: CRC Press
ISBN: 1135437947
Category : Business & Economics
Languages : en
Pages : 552

Get Book Here

Book Description
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