rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Derivative Securities and Difference Methods
  name:
    name part: Zhu, You-lan.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Wu, Xiaonan.
    role:
      role term: author.
  name:
    name part: Chern, I-Liang.
    role:
      role term: author.
  name:
    name part: Sun, Zhi-zhong.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2013
    edition: 2nd ed. 2013.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXII, 647 p. online resource.
  abstract: This book is mainly devoted to finite difference numerical methods for solving partial differential equation (PDE) models of pricing a wide variety of financial derivative securities. With this objective, the book is divided into two main parts. In the first part, after an introduction concerning the basics on derivative securities, the authors explain how to establish the adequate PDE initial/initial-boundary value problems for different sets of derivative products (vanilla and exotic options, and interest rate derivatives). For many option problems, the analytic solutions are also derived with details. The second part is devoted to explaining and analyzing the application of finite differences techniques to the financial models stated in the first part of the book. For this, the authors recall some basics on finite difference methods, initial boundary value problems, and (having in view financial products with early exercise feature) linear complementarity and free boundary problems. In each chapter, the techniques related to these mathematical and numerical subjects are applied to a wide variety of financial products. This is a textbook for graduate students following a mathematical finance program as well as a valuable reference for those researchers working in numerical methods of financial derivatives. For this new edition, the book has been updated throughout with many new problems added. More details about numerical methods for some options, for example, Asian options with discrete sampling, are provided and the proof of solution-uniqueness of derivative security problems and the complete stability analysis of numerical methods for two-dimensional problems are added. Review of first edition: “…the book is highly well designed and structured as a textbook for graduate students following a mathematical finance program, which includes Black-Scholes dynamic hedging methodology to price financial derivatives. Also, it is a very valuable reference for those resear…
  table of contents: Introduction -- European Style Derivatives -- American Style Derivatives -- Exotic Options -- Interest Rate Derivative Securities -- Basic Numerical Methods -- Finite Difference Methods -- Initial-Boundary Value and LC Problems -- Free-Boundary Problems -- Interest Rate Modeling.
  note: by You-lan Zhu, Xiaonan Wu, I-Liang Chern, Zhi-zhong Sun.
  subject:
    topic: Mathematics
  subject:
    topic: Finance
  subject:
    topic: Partial differential equations
  subject:
    topic: Economics, Mathematical
  subject:
    topic: Computer mathematics
  subject:
    topic: Numerical analysis
  subject:
    topic: Mathematics
  subject:
    topic: Quantitative Finance
  subject:
    topic: Partial Differential Equations
  subject:
    topic: Computational Mathematics and Numerical Analysis
  subject:
    topic: Numerical Analysis
  subject:
    topic: Finance, general
  classification: HB135-147
  classification: 519
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Springer Finance
  identifier: 9781461473060
  identifier: http://dx.doi.org/10.1007/978-1-4614-7306-0
  record info:
    record creation date: 130704
    record change date: 20170124141931.0
    record identifier: 978-1-4614-7306-0