
Stochastic Calculus for Finance
Cambridge University Press
Published on 23. August 2012
Book
Hardback
186 pages
978-1-107-00264-7 (ISBN)
Description
This book focuses specifically on the key results in stochastic processes that have become essential for finance practitioners to understand. The authors study the Wiener process and Ito integrals in some detail, with a focus on results needed for the Black-Scholes option pricing model. After developing the required martingale properties of this process, the construction of the integral and the Ito formula (proved in detail) become the centrepiece, both for theory and applications, and to provide concrete examples of stochastic differential equations used in finance. Finally, proofs of the existence, uniqueness and the Markov property of solutions of (general) stochastic equations complete the book. Using careful exposition and detailed proofs, this book is a far more accessible introduction to Ito calculus than most texts. Students, practitioners and researchers will benefit from its rigorous, but unfussy, approach to technical issues. Solutions to the exercises are available online.
Reviews / Votes
'... a very accessible and comprehensive introduction.' Robert Stelzer, Mathematical ReviewsMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
College/higher education
Illustrations
Worked examples or Exercises; 6 Line drawings, unspecified
Dimensions
Height: 235 mm
Width: 157 mm
Thickness: 15 mm
Weight
429 gr
ISBN-13
978-1-107-00264-7 (9781107002647)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions

Marek Capinski | Ekkehard Kopp | Janusz Traple
Stochastic Calculus for Finance
E-Book
09/2012
1st Edition
Cambridge University Press
€26.49
Available for download

Marek Capinski | Ekkehard Kopp | Janusz Traple
Stochastic Calculus for Finance
Book
08/2012
Cambridge University Press
€54.10
Shipment within 15-20 days

Marek Capinski
Stochastic Calculus for Finance
E-Book
08/2012
Cambridge University Press
€21.99
Available for download
Persons
Marek Capinski has published over fifty research papers and nine books. His diverse interests include mathematical finance, corporate finance and stochastic hydrodynamics. For over thirty-five years he has been teaching these topics, mainly in Poland and in the UK, where he has held visiting fellowships. He is currently Professor of Applied Mathematics at AGH University of Science and Technology in Krakow, where he established a Master's programme in mathematical finance. Ekkehard Kopp is Emeritus Professor of Mathematics at the University of Hull, where he taught courses at all levels in analysis, measure and probability, stochastic processes and mathematical finance between 1970 and 2007. His editorial experience includes service as founding member of the Springer Finance series (1998-2008) and the Cambridge University Press AIMS Library series. He has authored more than fifty research publications and five books. Janusz Traple is Professor of Mathematics in the Faculty of Applied Mathematics at AGH University of Science and Technology in Krakow, Poland. His former positions and visiting fellowships include the Jagiellonian University in Krakow, Scuola Normale in Pisa, University of Siena and University of Florence. He has taught courses in differential equations, measure and probability and the theory of Markov processes, and he is the author of more than twenty research publications.
Author
AGH University of Science and Technology, Krakow
University of Hull
AGH University of Science and Technology, Krakow
Content
Preface; 1. Discrete time processes; 2. Wiener process; 3. Stochastic integrals; 4. Ito formula; 5. Stochastic differential equations; Index.