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Chaotic Behavior in Monetary Systems: Comparison among Different Types of Taylor Rule
Abstract:The aim of the present study is to detect the chaotic behavior in monetary economic relevant dynamical system. The study employs three different forms of Taylor rules: current, forward, and backward looking. The result suggests the existence of the chaotic behavior in all three systems. In addition, the results strongly represent that using expectations in policy rule especially rational expectation hypothesis can increase complexity of the system and leads to more chaotic behavior.
Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1107858Procedia APA BibTeX Chicago EndNote Harvard JSON MLA RIS XML ISO 690 PDF
 Banks, J., V. Dragan and A. Jones, Chaos: A Mathematical Introduction. Cambridge University Press, Cambridge, 2003.
 Barkoulas, John T., “Testing for Deterministic Monetary Chaos: Metric and Topological Diagnostics”, Chaos Solutions and Fractals, vol. 38, 2008, pp.1013-1024.
 Benhabib, Jess, S. Schmitt-Grohe and Martin Uribe, “Chaotic Interest Rate Rules”, The American Economic Review, vol. 92, no.2, 2002, pp. 72-78.
 Bensaïda, Ahmed, “Noisy Chaos in Intraday Financial Data: Evidence from the American Index”, Applied Mathematics and Computation, vol. 226, 2014, pp. 258-265.
 Bensaïda, Ahmed, and Houda Litimi, “High Level Chaos in the Exchange and Index Markets”, Chaos, Solitons & Fractals, vol. 54, 2013, pp. 90-95.
 Clarida, Richard. Jordi Gali and Mark Gertler,” Optimal Monetary Policy in Open versus Closed Economies: An Integrated Approach”, American Economic Review, vol. 91, no. 2, 2001, pp. 248-252.
 Clarida, Richard. Jordi Gali and Mark Gertler, “Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory”, the Quarterly Journal of Economics, vol. 115, no. 1, 2000, pp. 147-180.
 Clarida, Richard. Jordi Gali and Mark Gertler, “Monetary Policy Rule in Practice: Some International Evidence”, European Economic Review, vol. 42, 1998, pp. 1033-1067.
 DeCoster, G. P. and D. W. Mitchwell, “Dynamic Implications of Chaotic Monetary Policy”, Journal of Macroeconomics, vol. 14, no. 2, 1992, pp. 267-87.
 DeCoster, G. P. and D. W. Mitchwell, “Nonlinear Monetary Dynamics”, Journal of Business and Economic Statistics, vol. 9, no. 4, 1991, pp.455- 461.
 Devany, R. L., A First course in Chaotic Dynamical System: Theory and Experiment, Addison-Wesely, Menlo Park California, 1992.
 Devany, R. L., An Introduction to Chaotic Dynamical System, 2nd edition, Addison-Wesely. Menlo Park California, 1989.
 Lynch, Stephen, Dynamical System with Application using MATLAB, 2nd edition, Birkhäuser, 2014.
 May, Robert M., “Simple Mathematical Models with very Complicated Dynamics”, Nature, vol. 261, 1976, pp. 459-67.
 Moosavi Mohseni, Reza and Adem Kilicman, “Hopf Bifurcation in an Open Monetary Economic System: Taylor versus Inflation Targeting Rule”, Chaos, Solitons & Fractals, vol. 61, 2014, pp. 8-12.
 Moosavi Mohseni, Reza and Adam Kilicman, Bifurcation in an Open Economic System: Finding Chaos in Monetary Policy Rules, International Conference on Mathematical Science and Statistics, 5-7 February, 2013, Kuala Lumpur, Malaysia.
 Muth, John F., Rational Expectations and the Theory of Price Movements, Econometrica, vol. 29, no. 3, 1961, pp. 315-335.
 Park, Joon Y. and Yoon Jae Whang, “Random Walk or Chaos: A Formal test on the Lyapunov Exponent”, Journal of Econometrics, vol. 169, 2012, pp. 61-74.
 Ruelle, David, and Floris Takens, “On the Nature of Turbulence”, Communications in Mathematical Physics, vol. 20, 1971, pp. 167-92.
 Smale, S., “A Survey of some Recent Developments in Differential Topology”, Bulletin of the American Mathematical Society, vol. 73, 1963, pp. 747-817.
 Smale, S., “Differentiable Dynamical Systems”, Bulletin of the American Mathematical Society, vol. 73, 1967, pp. 747-817.
 Taylor, John B., “Discretion versus Policy Rule in Practice”, Carnegie- Rochester Conference Series on Public Policy, vol. 39, 1993, pp. 195- 214.
 Turnovsky, Stephen J., Methods of Macroeconomic Dynamics, 2nd Edition, Cambridge. Massachusetts: The MIT Press, 2000.
 Vald, Sorin, “Investigation of Chaotic Behavior in Euro-Leu Exchange Rate”, Journal of Computer Science and Mathematics, vol. 8, no. 4, 2010, pp. 67-71.
 Yousefpoor, P., M. S. Esfahani and H. Nojumi, “Looking for Systematic Approach to Select Chaos Tests”, Applied Mathematics and Computation, vol. 198, 2008, pp. 73-91.
 Zivot, Eric, and Donald W. K. Andrews, “Further Evidence on the Great Crash, the Oil-Price Shock, and the Unit-Root Hypothesis”, Journal of Business & Economic Statistics, vol. 10, no. 3, 1992, pp. 251-70.