Introduction to Stochastic Calculus Applied to Finance

Lamberton, Damien; Lapeyre, Bernard

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ISBN 10: 1584886269 ISBN 13: 9781584886266
Published by CRC Press, 2007
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Synopsis:

Since the publication of the first edition of this book, the area of mathematical finance has grown rapidly, with financial analysts using more sophisticated mathematical concepts, such as stochastic integration, to describe the behavior of markets and to derive computing methods. Maintaining the lucid style of its popular predecessor, Introduction to Stochastic Calculus Applied to Finance, Second Edition incorporates some of these new techniques and concepts to provide an accessible, up-to-date initiation to the field.

New to the Second Edition

  • Complements on discrete models, including Rogers' approach to the fundamental theorem of asset pricing and super-replication in incomplete markets
  • Discussions on local volatility, Dupire's formula, the change of numéraire techniques, forward measures, and the forward Libor model
  • A new chapter on credit risk modeling
  • An extension of the chapter on simulation with numerical experiments that illustrate variance reduction techniques and hedging strategies
  • Additional exercises and problems

    Providing all of the necessary stochastic calculus theory, the authors cover many key finance topics, including martingales, arbitrage, option pricing, American and European options, the Black-Scholes model, optimal hedging, and the computer simulation of financial models. They succeed in producing a solid introduction to stochastic approaches used in the financial world.
  • About the Author: Lamberton, Damien; Lapeyre, Bernard

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    Bibliographic Details

    Title: Introduction to Stochastic Calculus Applied ...
    Publisher: CRC Press
    Publication Date: 2007
    Binding: Hardcover
    Condition: Good
    Dust Jacket Condition: No Jacket
    Edition: 2nd Edition

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    Published by Taylor & Francis Inc 11.2007., 2007
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    Lapeyre, Bernard; Lamberton, Damien
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    Bernard Lapeyre, Damien Lamberton
    Published by Chapman and Hall/CRC 2007-11-30, 2007
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