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  • Conference proceedings
  • © 2012

Numerical Methods in Finance

Bordeaux, June 2010

  • First book in this very precise area
  • Pedagogical and self-contained exposition
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Proceedings in Mathematics (PROM, volume 12)

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Table of contents (15 papers)

  1. Front Matter

    Pages i-xvii
  2. Particle Methods in Finance

    1. Front Matter

      Pages 1-1
    2. An Introduction to Particle Methods with Financial Applications

      • René Carmona, Pierre Del Moral, Peng Hu, Nadia Oudjane
      Pages 3-49
    3. American Option Valuation with Particle Filters

      • Bhojnarine R. Rambharat
      Pages 51-82
  3. Numerical Methods for Backward Conditional Expectations

    1. Front Matter

      Pages 113-113
  4. Numerical methods for backward conditional expectations

    1. Monte Carlo Approximations of American Options that Preserve Monotonicity and Convexity

      • Pierre Del Moral, Bruno Rémillard, Sylvain Rubenthaler
      Pages 115-143
    2. Optimal Hedging of American Options in Discrete Time

      • Bruno Rémillard, Alexandre Hocquard, Hugues Langlois, Nicolas Papageorgiou
      Pages 145-170
    3. Least-Squares Monte Carlo for Backward SDEs

      • Christian Bender, Jessica Steiner
      Pages 257-289
    4. Fourier Cosine Expansions and Put–Call Relations for Bermudan Options

      • Bowen Zhang, Cornelis W. Oosterlee
      Pages 323-350
  5. Numerical Methods for Energy Derivatives

    1. Front Matter

      Pages 351-351
  6. Numerical methods for energy derivatives

    1. Swing Options Valuation: A BSDE with Constrained Jumps Approach

      • Marie Bernhart, Huyên Pham, Peter Tankov, Xavier Warin
      Pages 379-400
    2. Swing Option Pricing by Optimal Exercise Boundary Estimation

      • François Turboult, Yassine Youlal
      Pages 401-419
    3. Gas Storage Hedging

      • Xavier Warin
      Pages 421-445
    4. Sensitivity Analysis of Energy Contracts by Stochastic Programming Techniques

      • J. Frédéric Bonnans, Zhihao Cen, Thibault Christel
      Pages 447-471

About this book

Numerical methods in finance have emerged as a vital field at the crossroads of probability theory, finance and numerical analysis. Based on presentations given at the workshop Numerical Methods in Finance held at the INRIA Bordeaux (France) on June 1-2, 2010, this book provides an overview of the major new advances in the numerical treatment of instruments with American exercises. Naturally it covers the most recent research on the mathematical theory and the practical applications of optimal stopping problems as they relate to financial applications. By extension, it also provides an original treatment of Monte Carlo methods for the recursive computation of conditional expectations and solutions of BSDEs and generalized multiple optimal stopping problems and their applications to the valuation of energy derivatives and assets. The articles were carefully written in a pedagogical style and a reasonably self-contained manner. The book is geared toward quantitative analysts, probabilists, and applied mathematicians interested in financial applications.

Editors and Affiliations

  • Dept. Operations Research &, Financial Engineering, Princeton University, Princeton, USA

    René A. Carmona

  • Centre INRIA Bordeaux Sud-Ouest, Institut de Mathématiques, Université Bordeaux I, Talence Cedex, France

    Pierre Del Moral, Peng Hu

  • EDF Recherche et Développement, Clamart, France

    Nadia Oudjane

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
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