SIAM Homepage | Search Catalog | New Books | Author Index | Series Index | Title Index | View My Shopping Cart



The catalog and shopping cart are hosted for SIAM by EasyCart. Your transaction is secure. If you have any questions about your order, contact siambooks@siam.org.

Purchase Now!

Computational Methods for Option PricingComputational Methods for Option Pricing

Yves Achdou and Olivier Pironneau


Frontiers in Applied Mathematics 30

Here is a book for anyone who would like to become better acquainted with the modern tools of numerical analysis for several significant computational problems arising in finance. The authors review some important aspects of finance modeling involving partial differential equations and focus on numerical algorithms for the fast and accurate pricing of financial derivatives and for the calibration of parameters.

Option pricing has become a technical topic that requires sophisticated numerical methods for robust and fast numerical solutions. This book explores the best numerical algorithms and discusses them in depth, from their mathematical analysis up to their implementation in C++ with efficient numerical libraries. Much of this information is not available elsewhere. In particular, this is one of the few books that gives detailed coverage of 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.

Audience

This is a book for postgraduate students, professional scientists in the field of finance, researchers, numerical code developers, and those well versed in numerical analysis desiring to learn about numerical and mathematical finance.

Contents

List of Algorithms; Preface; Chapter 1: Option Pricing; Chapter 2: Black–Scholes Equation. Mathematical Analysis; Chapter 3: Finite Differences; Chapter 4: The Finite Element Method; Chapter 5: Adaptive Mesh Refinement; Chapter 6: American Options; Chapter 7: Sensitivities and Calibration; Chapter 8: Calibration of Local Volatility with European Options; Chapter 9: Calibration of Local Volatility with American Options; Bibliography; Index.

To request an examination copy or desk copy of this book, please use our online request form at www.siam.org/catalog/adopt.php.

2005 / xvi + 303 pages / Softcover / ISBN-13: 978-0-898715-73-6 / ISBN-10: 0-89871-573-3 /
List Price $89.50 / SIAM Member Price $62.65 / Order Code FR30
Price
Quantity desired
   



Search our catalog for:

Shopping cart provided by: EasyCart.com
Select quantity and list or member price and then click the "Click to Order" button to add books to your shopping cart.
Banner art adapted from a figure by Hinke M. Osinga and Bernd Krauskopf (University of Auckland, NZ.)