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Martingale methods in financial modeling : theory and applications

This comprehensive and self-contained treatment of the theory and practice of option pricing describes the role of martingale methods in financial modelling. The emphasis is on using arbitrage-free models already accepted by the market as well as on building new ones but in a way that makes them consistent with the finance industry's derivatives pricing practice. Standard calls and puts, together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates, are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and to present to the industry useful mathematical tools.

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  • "Jin rong jian mo zhong de yang fang fa"
  • "金融建模中的鞅方法"

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  • "This comprehensive and self-contained treatment of the theory and practice of option pricing describes the role of martingale methods in financial modelling. The emphasis is on using arbitrage-free models already accepted by the market as well as on building new ones but in a way that makes them consistent with the finance industry's derivatives pricing practice. Standard calls and puts, together with numerous examples of exotic options such as barriers and quantos, for example on stocks, indices, currencies and interest rates, are analysed. The importance of choosing a convenient numeraire in price calculations is explained. Mathematical and financial language is used so as to bring mathematicians closer to practical problems of finance and to present to the industry useful mathematical tools."@en
  • ""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."--Publisher's description."

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  • "Statistics"@en
  • "Statistics"
  • "Electronic books"@en
  • "Electronic books"
  • "Llibres electrònics"

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  • "Martingale methods in financial modeling : theory and applications"@en
  • "Martingale methods in Financial Modelling"
  • "Martingale Methods in Financial Modelling"
  • "Martingale methods in financial modelling [theory and applications]"
  • "Martingale methods in financial modelling"
  • "Martingale methods in financial modelling"@en

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