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Home > Catalogue > Computational Methods for Option Pricing
Computational Methods for Option Pricing


  • Page extent: 184 pages
  • Size: 228 x 152 mm
  • Weight: 0.562 kg

Library of Congress

  • Dewey number: 332.64/53/01519
  • Dewey version: 22
  • LC Classification: HG6024.A3 A26 2005
  • LC Subject headings:
    • Options (Finance)--Prices--Mathematical models

Library of Congress Record

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 (ISBN-13: 9780898715736 | ISBN-10: 0898715733)

DOI: 10.2277/0898715733

  • Published July 2005

Temporarily unavailable - available from November 2015

 (Stock level updated: 11:51 GMT, 27 November 2015)


This book is a must for becoming better acquainted with the modern tools of numerical analysis for several significant computational problems arising in finance. Important aspects of finance modeling are reviewed, involving partial differential equations and numerical algorithms for the fast and accurate pricing of financial derivatives and the calibration of parameters. The best numerical algorithms are fully explored and discussed, from their mathematical analysis up to their implementation in C++ with efficient numerical libraries. This is one of the few books that thoroughly covers the following topics: mathematical results and efficient algorithms for pricing American options; modern algorithms with adaptive mesh refinement for European and American options; regularity and error estimates are derived and give strong support to the mesh adaptivity, an essential tool for speeding up the numerical implementations; calibration of volatility with European and American options; the use of automatic differentiation of computer codes for computing greeks.

• Suitable for postgraduate students, professional scientists, and anyone with a knowledge of numerical analysis who wishes to learn about numerical and mathematical finance • The best numerical algorithms are explored and discussed in depth • Includes much information that is not available elsewhere


Preface; 1. Option pricing; 2. Black-Scholes equation; mathematical analysis; 3. Finite differences; 4. The finite element method; 5. Adaptive mesh refinement; 6. American options; 7. Sensitivities and calibration; 8. Calibration of local volatility with European options; 9. Calibration of local volatility with American options; Bibliography; Index.

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