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

  • Daniela Federici
  • Giancarlo Gandolfo

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.

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File URL: http://degit.sam.sdu.dk/papers/degit_16/c016_035.pdf
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Paper provided by DEGIT, Dynamics, Economic Growth, and International Trade in its series DEGIT Conference Papers with number c016_035.

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Length: 25 pages
Date of creation: Sep 2011
Date of revision:
Handle: RePEc:deg:conpap:c016_035
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  1. Scheinkman, Jose A & LeBaron, Blake, 1989. "Nonlinear Dynamics and Stock Returns," The Journal of Business, University of Chicago Press, vol. 62(3), pages 311-37, July.
  2. Jerome L. Stein, 2001. "The Equilibrium Value of the Euro/$ US Exchange Rate: An Evaluation of Research," CESifo Working Paper Series 525, CESifo Group Munich.
  3. Paul Grauwe & Hans Dewachter, 1993. "A chaotic model of the exchange rate: The role of fundamentalists and chartists," Open Economies Review, Springer, vol. 4(4), pages 351-379, December.
  4. Brzozowska-Rup, Katarzyna & Orłowski, Arkadiusz, 2004. "Application of bootstrap to detecting chaos in financial time series," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 317-321.
  5. Hommes, Cars H., 2006. "Heterogeneous Agent Models in Economics and Finance," Handbook of Computational Economics, in: Leigh Tesfatsion & Kenneth L. Judd (ed.), Handbook of Computational Economics, edition 1, volume 2, chapter 23, pages 1109-1186 Elsevier.
  6. Gandolfo, Giancarlo & Padoan, Pietro Carlo & Paladino, Giovanna, 1990. "Exchange rate determination: Single-equation or economy-wide models? : A test against the random walk," Journal of Banking & Finance, Elsevier, vol. 14(5), pages 965-992, November.
  7. Michel Beine & Jér�me Lahaye & Sébastien Laurent & Christopher J. Neely & Franz C. Palm, 2007. "Central bank intervention and exchange rate volatility, its continuous and jump components," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 12(2), pages 201-223.
  8. Michel Beine & Paul De Grauwe & Marianna Grimaldi, 2008. "The impact of FX Central Bank Intervention in a Noise Trading Framework," CREA Discussion Paper Series 08-15, Center for Research in Economic Analysis, University of Luxembourg.
  9. Chen, Shikuan, 1999. "Complex Dynamics of the Real Exchange Rate in an Open Macroeconomic Model," Journal of Macroeconomics, Elsevier, vol. 21(3), pages 493-508, July.
  10. Marianna Belloc & Daniela Federici, 2008. "A Two-Country NATREX Model for the Euro/Dollar," CESifo Working Paper Series 2290, CESifo Group Munich.
  11. Stein L., 2001. "The Equilibrium Value of The Euro/$ US Exchange Rate: An Evaluation of Research," European Research Studies Journal, European Research Studies Journal, vol. 0(1-2), pages 73-108, January -.
  12. repec:att:wimass:9725 is not listed on IDEAS
  13. LeBaron, Blake & Arthur, W. Brian & Palmer, Richard, 1999. "Time series properties of an artificial stock market," Journal of Economic Dynamics and Control, Elsevier, vol. 23(9-10), pages 1487-1516, September.
  14. Bajo-Rubio, Oscar & Fernandez-Rodriguez, Fernando & Sosvilla-Rivero, Simon, 1992. "Chaotic behaviour in exchange-rate series : First results for the Peseta--U.S. dollar case," Economics Letters, Elsevier, vol. 39(2), pages 207-211, June.
  15. William A. Barnett & A. Ronald Gallant & Melvin J. Hinich & Jochen A. Jungeilges & Daniel T. Kaplan & Mark J. Jensen, 1996. "A Single-Blind Controlled Competition among Tests for Nonlinearity and Chaos," Econometrics 9602005, EconWPA, revised 20 Sep 1996.
  16. Tesfatsion, Leigh & Judd, Kenneth L., 2006. "Handbook of Computational Economics, Vol. 2: Agent-Based Computational Economics," Staff General Research Papers 10368, Iowa State University, Department of Economics.
  17. Gandolfo, Giancarlo & Goldberg, Michael D., 2005. "International Finance And Open-Economy Macroeconomics," Macroeconomic Dynamics, Cambridge University Press, vol. 9(02), pages 263-266, April.
  18. Frankel, Jeff & Froot, Ken, 1986. "Using Survey Data to Test Standard Propositions Regarding Exchange Rate Expectations," Department of Economics, Working Paper Series qt1972q8wm, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  19. Meese, Richard A. & Rogoff, Kenneth, 1983. "Empirical exchange rate models of the seventies : Do they fit out of sample?," Journal of International Economics, Elsevier, vol. 14(1-2), pages 3-24, February.
  20. Brock, W.A. & Hommes, C.H., 1996. "A Rational Route to Randomness," Working papers 9530r, Wisconsin Madison - Social Systems.
  21. Bask, Mikael, 2000. "A Positive Lyapunov Exponent in Swedish Exchange Rates?," Umeå Economic Studies 528, Umeå University, Department of Economics.
  22. Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
  23. Szpiro, George G., 1994. "Exchange rate speculation and chaos inducing intervention," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 363-368, August.
  24. Kenneth S. Rogoff & Vania Stavrakeva, 2008. "The Continuing Puzzle of Short Horizon Exchange Rate Forecasting," NBER Working Papers 14071, National Bureau of Economic Research, Inc.
  25. Owen F. Humpage, 2003. "Government intervention in the foreign exchange market," Working Paper 0315, Federal Reserve Bank of Cleveland.
  26. Daniela Federici & Giancarlo Gandolfo, 2001. "Chaos and the exchange rate," The Journal of International Trade & Economic Development, Taylor & Francis Journals, vol. 11(2), pages 111-142.
  27. Cars H. Hommes, 2005. "Heterogeneous Agent Models in Economics and Finance," Tinbergen Institute Discussion Papers 05-056/1, Tinbergen Institute.
  28. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August.
  29. Jerome L. Stein, 2002. "Enlargement and the Value of the Euro," Australian Economic Papers, Wiley Blackwell, vol. 41(4), pages 462-479, December.
  30. Brooks, Chris, 1998. "Chaos in Foreign Exchange Markets: A Sceptical View," Computational Economics, Society for Computational Economics, vol. 11(3), pages 265-81, June.
  31. Sergio Da Silva, 2001. "Chaotic Exchange Rate Dynamics Redux," Open Economies Review, Springer, vol. 12(3), pages 281-304, July.
  32. Jeffrey A. Frankel & Kenneth A. Froot, 1985. "Using Survey Data to Test Some Standard Propositions Regarding Exchange Rate Expectations," NBER Working Papers 1672, National Bureau of Economic Research, Inc.
  33. Stein, Jerome L., 1990. "The real exchange rate," Journal of Banking & Finance, Elsevier, vol. 14(5), pages 1045-1078, November.
  34. Wymer, Clifford R., 2009. "Aperiodic Dynamics In The Bergstrom/Wymer Model Of The United Kingdom," Econometric Theory, Cambridge University Press, vol. 25(04), pages 1099-1111, August.
  35. De Grauwe, Paul & Dewachter, Hans, 1990. "A Chaotic Monetary Model of the Exchange Rate," CEPR Discussion Papers 466, C.E.P.R. Discussion Papers.
  36. Day, R. & Huang, W., 1988. "Bulls, Bears And Market Sheep," Papers m8822, Southern California - Department of Economics.
  37. Serletis, Apostolos & Shahmoradi, Asghar, 2004. "ABSENCE OF CHAOS AND 1/f SPECTRA, BUT EVIDENCE OF TAR NONLINEARITIES, IN THE CANADIAN EXCHANGE RATE," Macroeconomic Dynamics, Cambridge University Press, vol. 8(04), pages 543-551, September.
  38. Hommes, C.H. & Wagener, F.O.O., 2008. "Complex evolutionary systems in behavioral finance," CeNDEF Working Papers 08-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  39. De Grauwe, Paul & Grimaldi, Marianna, 2006. "Exchange rate puzzles: A tale of switching attractors," European Economic Review, Elsevier, vol. 50(1), pages 1-33, January.
  40. Gaunersdorfer, A. & Hommes, C.H. & Wagener, F.O.O., 2000. "Bifurcation Routes to Volatility Clustering," CeNDEF Working Papers 00-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  41. Resende, Marcelo & Zeidan, Rodrigo M., 2008. "Expectations and chaotic dynamics: Empirical evidence on exchange rates," Economics Letters, Elsevier, vol. 99(1), pages 33-35, April.
  42. Carl Chiarella & Roberto Dieci & Xue-Zhong He, 2008. "Heterogeneity, Market Mechanisms, and Asset Price Dynamics," Research Paper Series 231, Quantitative Finance Research Centre, University of Technology, Sydney.
  43. Belloc Marianna & Federici Daniela & Gandolfo Giancarlo, 2008. "The Euro/Dollar Equilibrium Real Exchange Rate: A Continuous Time Approach," Economia politica, Società editrice il Mulino, issue 2, pages 243-264.
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