An Introduction to Financial Option Valuation

Mathematics, Stochastics and Computation

Desmond J Higham author

Format:Hardback

Publisher:Cambridge University Press

Published:15th Apr '04

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An Introduction to Financial Option Valuation cover

This textbook provides an introduction to financial option valuation for undergraduates. Solutions available from [email protected].

This lively textbook provides an introduction to financial option valuation for undergraduates armed with a knowledge of first year calculus. Its approach gives equal weight to applied mathematics, stochastics and computations. Contains stand-alone MATLAB code to illustrate ideas and examples using real stock market data. Solutions available from [email protected] is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black–Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.

'… a well organized and well written text. The book 'does what it says on the cover', is written in plain English and I think is an excellent introductory text. It will be useful to students from a wide range of backgrounds and an essential complement to the standard undergraduate course which embeds mathematical finance into probability theory. Finally, with it being studded with references, it provides an easy entry into deeper material.' Chris Barnett, UK Nonlinear News
' … this is a very accessible basic introduction to the subject and Des Higham's unique writing style with many quotes and side remarks makes the reading even more enjoyable.' L. Grune, Z. Angew. Math. Mech.
'A colleague and I use Desmond Higham's financial options book in our Computational Finance and Applied Optimal (stochastic) Control courses as a very good computational reference, but some of the motivations are very good too, such as call-put parity and the Black-Scholes derivation. Our students find it very helpful for its MATLAB code and we have cited it in a risk-neutral Monte-Carlo paper.' Floyd B. Hanson, University of Illinois at Chicago
'This book provides a clear introduction to elementary option pricing via Matlab. It is eminently suitable for advanced undergraduates and beginning graduates.' Dr Brad Baxter, Birkbeck College, University of London
'The material is presented in a … vivid and pedagogical manner. …It could equally well be ready by people with limited mathematical knowledge wanting to learn the basics of mathematical finance …' Zentralblatt MATH

  • Winner of Germund Dalquist Prize awarded by SIAM 2005
  • Winner of Germund Dalquist Prize awarded by SIAM 2005

ISBN: 9780521838849

Dimensions: 255mm x 180mm x 23mm

Weight: 805g

296 pages