Fractional Calculus and Fractional Processes with Applications to Financial Economics: Theory and Application - Hardcover

Fallahgoul, Hasan

Hardcover

ISBN 10: 0128042486 ISBN 13: 9780128042489

Publisher: Academic Press, 2016

Synopsis

Fractional Calculus and Fractional Processes with Applications to Financial Economics presents the theory and application of fractional calculus and fractional processes to financial data. Fractional calculus dates back to 1695 when Gottfried Wilhelm Leibniz first suggested the possibility of fractional derivatives. Research on fractional calculus started in full earnest in the second half of the twentieth century. The fractional paradigm applies not only to calculus, but also to stochastic processes, used in many applications in financial economics such as modelling volatility, interest rates, and modelling high-frequency data. The key features of fractional processes that make them interesting are long-range memory, path-dependence, non-Markovian properties, self-similarity, fractal paths, and anomalous diffusion behaviour. In this book, the authors discuss how fractional calculus and fractional processes are used in financial modelling and finance economic theory. It provides a practical guide that can be useful for students, researchers, and quantitative asset and risk managers interested in applying fractional calculus and fractional processes to asset pricing, financial time-series analysis, stochastic volatility modelling, and portfolio optimization.

About this title

About the Author

Hasan A. Fallahgoul is currently a postdoctoral researcher at the Swiss Finance Institute @ EPFL, in the team lead by Professor Loriano Mancini. Prior to this position, he was a postdoctoral researcher at the European Center for Advanced Research in Economics and Statistics (ECARES), Universite Libre de Bruxelles, Belgium. His research interests are in Financial econometrics, quantitative finance, Levy processes and fractional calculus. Specializing in heavy-tailed distributions and their applications to finance. Dr. Fallahgoul has published several papers in scientific journals including Quantitative Finance, Applied Mathematics Letters, and Journal of Statistical Theory and Practice. He holds a PhD and MSc in applied mathematics from the K. N. Toosi University of Technology.

Edition details

• Publisher: Academic Press
• Publication date: 2016
• Language: English
• ISBN 10: 0128042486
• ISBN 13: 9780128042489
• Binding: Hardcover
• Number of pages: 118