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The Concepts and Practice of Mathematical Finance
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The Concepts and Practice of Mathematical Finance

The Concepts and Practice of Mathematical Finance

M.S. Joshi - Collection Mathematics, Finance and Risk

473 pages, parution le 29/12/2003

Résumé

For those starting out as practitioners of mathematical finance, this is an ideal introduction. It provides the reader with a clear understanding of the intuition behind derivatives pricing, how models are implemented, and how they are used and adapted in practice. Strengths and weaknesses of different models, e.g. Black-Scholes, stochastic volatility, jump-diffusion and variance gamma, are examined. Both the theory and the implementation of the industry-standard LIBOR market model are considered in detail. Uniquely, the book includes extensive discussion of the ideas behind the models, and is even-handed in examining various approaches to the subject. Thus each pricing problem is solved using several methods. Worked examples and exercises, with answers, are provided in plenty, and computer projects are given for many problems.

The author brings to this book a blend of practical experience and rigorous mathematical background, and supplies here the working knowledge needed to become a good quantitative analyst.

Sommaire

  • Risk
  • Pricing methodologies and arbitrages
  • Trees and option pricing
  • Practicalities
  • The Ito calculus
  • Risk neutrality and martingale measures
  • The practical pricing of a European option
  • Continuous barrier options
  • Multi-look exotic options
  • Static replication
  • Multiple source of risk
  • Options with early exercise features
  • Interest rate derivatives
  • The pricing of exotic interest rate derivtives
  • Incomplete markets and jump-diffusion processes
  • Stochastic volatility
  • Variance gamma models
  • Smile dynamics and the pricing of exotic options
  • Appendixes
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Caractéristiques techniques

  PAPIER
Éditeur(s) Cambridge University Press
Auteur(s) M.S. Joshi
Collection Mathematics, Finance and Risk
Parution 29/12/2003
Nb. de pages 473
Format 18 x 25
Couverture Relié
Poids 1240g
Intérieur Noir et Blanc
EAN13 9780521823555
ISBN13 978-0-521-82355-5

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