Complex-valued modeling in economics and finance

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Complex-Valued Modeling in Economics and Financeoutlines the theory, methodology, and techniques behind modeling economic processes using complex variables theory. The theory of complex variables functions is widely used in many scientific fields, since work with complex variables can appropriately describe different complex real-life processes. Many economic indicators and factors reflecting the properties of the same object can be represented in the form of complex variables. By describing the relationship between various indicators using the functions of these variables, new economic and financial models can be created which are often more accurate than the models of real variables. This book pays critical attention to complex variables production in stock market modeling, modeling illegal economy, time series forecasting, complex auto-aggressive models, and economic dynamics modeling. Very little has been published on this topic and its applications within the fields of economics and finance, and this volume appeals to graduate-level students studying economics, academic researchers in economics and finance, and economists.

Author(s): Sergey Svetunkov (auth.)
Edition: 1
Publisher: Springer-Verlag New York
Year: 2012

Language: English
Pages: 320
City: New York
Tags: Financial Economics; Economics/Management Science, general; Econometrics; Economics general

Front Matter....Pages i-xi
Theoretical Basis of Complex Economy....Pages 1-26
Properties of Complex Numbers of a Real Argument and Real Functions of a Complex Argument....Pages 27-62
Conformal Mappings of Functions of a Complex Variable....Pages 63-86
Principles of Complex-Valued Econometrics....Pages 87-142
Production Functions of Complex Argument....Pages 143-180
Production Functions of Complex Variables....Pages 181-232
Multifactor Complex-Valued Models of Economy....Pages 233-268
Modeling Economic Conditions of the Stock Market....Pages 269-290
Modeling and Forecasting of Economic Dynamics by Complex-Valued Models....Pages 291-318