Diffusions, Markov Processes, and Martingales, L. C. G. Rogers

Автор: Musiela Marek
Название: Martingale Methods in Financial Modelling
ISBN: 3540209662 ISBN-13(EAN): 9783540209669
Издательство: Springer
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Цена: 78250.00 T
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Описание: In the 2nd edition some sections of Part I are omitted for better readability, and a brand new chapter is devoted to volatility risk. As a consequence, hedging of plain-vanilla options and valuation of exotic options are no longer limited to the Black-Scholes framework with constant volatility. The theme of stochastic volatility also reappears systematically in the second part of the book, which has been revised fundamentally, presenting much more detailed analyses of the various interest-rate models available: the authors' perspective throughout is that the choice of a model should be based on the reality of how a particular sector of the financial market functions, never neglecting to examine liquid primary and derivative assets and identifying the sources of trading risk associated. This long-awaited new edition of an outstandingly successful, well-established book, concentrating on the most pertinent and widely accepted modelling approaches, provides the reader with a text focused on practical rather than theoretical aspects of financial modelling.

Автор: Schilling
Название: Measures, Integrals and Martingales
ISBN: 1316620247 ISBN-13(EAN): 9781316620243
Издательство: Cambridge Academ
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Цена: 49630.00 T
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Описание: Measure and integration are key topics in many areas of mathematics, including analysis, probability, mathematical physics and finance. This book offers a concise yet elementary introduction in which the theory is quickly and simply developed. Few prerequisites are required, making the text suitable for undergraduate lecture courses or self-study.

Автор: L. C. G. Rogers
Название: Diffusions, Markov Processes and Martingales
ISBN: 0521775930 ISBN-13(EAN): 9780521775939
Издательство: Cambridge Academ
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Цена: 77090.00 T
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Описание: This celebrated volume gives an accessible introduction to stochastic integrals, stochastic differential equations, excursion theory and the general theory of processes. Together with its companion, it helps equip graduate students for research into a subject of great intrinsic interest and wide application.

Автор: Bernt Oksendal and Agnes Sulem
Название: Applied Stochastic Control of Jump Diffusions
ISBN: 3540698256 ISBN-13(EAN): 9783540698258
Издательство: Springer
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Цена: 65210.00 T
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Описание: The main purpose of the book is to give a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and its applications. Both the dynamic programming method and the maximum principle method are discussed, as well as the relation between them. Corresponding verification theorems involving the Hamilton-Jacobi Bellman equation and/or (quasi-)variational inequalities are formulated. The text emphasises applications, mostly to finance. All the main results are illustrated by examples and exercises appear at the end of each chapter with complete solutions. This will help the reader understand the theory and see how to apply it. The book assumes some basic knowledge of stochastic analysis, measure theory and partial differential equations.In the 2nd edition there is a new chapter on optimal control of stochastic partial differential equations driven by LГ©vy processes. There is also a new section on optimal stopping with delayed information. Moreover, corrections and other improvements have been made.