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  • Textbook
  • © 2009

Mathematical Methods for Financial Markets

  • Unlike other texts available in the field, this book is written to be accessible to both mathematicians and practitioners
  • Rather than provide full proofs throughout, the authors give the essence of the argument and then refer readers to the literature whenever the discussion might become too technical.
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Finance (FINANCE)

Part of the book sub series: Springer Finance Textbooks (SFTEXT)

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Table of contents (11 chapters)

  1. Front Matter

    Pages I-XXV
  2. Continuous Path Processes

    1. Front Matter

      Pages 1-1
    2. Continuous-Path Random Processes: Mathematical Prerequisites

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 3-78
    3. Basic Concepts and Examples in Finance

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 79-134
    4. Hitting Times: A Mix of Mathematics and Finance

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 135-210
    5. Complements on Brownian Motion

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 211-258
    6. Complements on Continuous Path Processes

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 259-332
    7. A Special Family of Diffusions: Bessel Processes

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 333-403
  3. Jump Processes

    1. Front Matter

      Pages 405-405
    2. Default Risk: An Enlargement of Filtration Approach

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 407-456
    3. Poisson Processes and Ruin Theory

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 457-508
    4. General Processes: Mathematical Facts

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 509-550
    5. Mixed Processes

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 551-590
    6. Lévy Processes

      • Monique Jeanblanc, Marc Yor, Marc Chesney
      Pages 591-646
  4. Back Matter

    Pages 647-732

About this book

Mathematical finance has grown into a huge area of research which requires a large number of sophisticated mathematical tools. This book simultaneously introduces the financial methodology and the relevant mathematical tools in a style that is mathematically rigorous and yet accessible to practitioners and mathematicians alike. It interlaces financial concepts such as arbitrage opportunities, admissible strategies, contingent claims, option pricing and default risk with the mathematical theory of Brownian motion, diffusion processes, and Lévy processes. The first half of the book is devoted to continuous path processes whereas the second half deals with discontinuous processes.

The extensive bibliography comprises a wealth of important references and the author index enables readers quickly to locate where the reference is cited within the book, making this volume an invaluable tool both for students and for those at the forefront of research and practice.

Authors and Affiliations

  • Dépt. Mathématiques, Université d'Evry, Evry CX, France

    Monique Jeanblanc

  • Labo. Probabilités et Modèles Aléatoires, Université Paris VI, Paris, France

    Marc Yor

  • Inst. Schweizerisches Bankwesen (ISB), Universität Zürich, Zürich, Switzerland

    Marc Chesney

Bibliographic Information

Buy it now

Buying options

eBook USD 79.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 99.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access