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Martingale Methods in Financial Modelling by M Musiela,M Rutkowski
  • Martingale Methods in Financial Modelling

  • (Applications of Mathematics, Volume 36)

  • by M Musiela and M Rutkowski
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    Description of Martingale Methods in Financial Modelling

    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 reappears systematically in Part II, that has been revised fundamentally, presenting much more detailed analyses of interest-rate models: 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.

    Contents of Martingale Methods in Financial Modelling

    An Introduction to Financial Derivatives

    The Cox-Ross-Rubinstein Model

    Finite Security Markets

    The Black-Scholes Model

    Foreign Market Derivatives

    Americal Options

    Exotic Options

    Continuous-time Security Markets

    Interest Rates and Related Contracts

    Models of the Short-term Rate

    Models of Instantaneous Forward Rates

    Models of Bond Prices and LIBOR Rates

    Option Valuation in Gaussian Models

    Swap Derivatives

    Cross-currency Derivatives

    Appendices: Conditional Expectations, Itô Stochastic Calculus


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