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The Euro/Dollar Exchange Rate: Chaotic or Non-Chaotic?

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  • Daniela Federici
  • Giancarlo Gandolfo

Abstract

The aim of this paper is to develop a continuous time exchange rate model that allows for heterogeneity of the agents’ beliefs, in order to explore non-linearities and possible chaotic behaviour. The theoretical model contains an intrinsic non-linearity that gives rise to a jerk differential equation, which is in principle capable of generating chaos. The model is econometrically estimated in continuous time with Euro/Dollar data and examined for the possible presence of chaotic motion. Our results indicate that the possibility of chaotic dynamics has to be rejected.

Suggested Citation

  • Daniela Federici & Giancarlo Gandolfo, 2011. "The Euro/Dollar Exchange Rate: Chaotic or Non-Chaotic?," CESifo Working Paper Series 3420, CESifo.
    • Handle: RePEc:ces:ceswps:_3420
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    Cited by:

    1. Giancarlo Gandolfo, 2015. "The Tobin tax in a continuous-time non-linear dynamic model of the exchange rate," Cambridge Journal of Economics, Cambridge Political Economy Society, vol. 39(6), pages 1629-1643.
    2. Wymer Clifford R., 2012. "Continuous-Tme Econometrics of Structural Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(2), pages 1-28, April.
    3. Fernando Vadillo, 2016. "On the Historical Exchange Rates Euro/US Dollar," Computational Economics, Springer;Society for Computational Economics, vol. 48(3), pages 463-472, October.

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    More about this item

    Keywords

    exchange rate; chaos; jerk equation; continuous time econometrics;
    All these keywords.

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F37 - International Economics - - International Finance - - - International Finance Forecasting and Simulation: Models and Applications
    • C49 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Other
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

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