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Fractional Calculus and Fractional Processes with Applications to Financial Economics

Theory and Application

Frank Fabozzi author Sergio Focardi author Hasan Fallahgoul author

Format:Hardback

Publisher:Elsevier Science Publishing Co Inc

Published:22nd Sep '16

Currently unavailable, and unfortunately no date known when it will be back

Fractional Calculus and Fractional Processes with Applications to Financial Economics cover

A comprehensive, go-to reference that explains fractional calculus, fractional processes, and their applications to financial economics

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.

ISBN: 9780128042489

Dimensions: unknown

Weight: 320g

118 pages