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Dynamic Forecasting Rules and the Complexity of Exchange Rate Dynamics

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  • Dewachter, Hans
  • Houssa, Romain
  • Lyrio, Marco & Kaltwasser, Pablo Rovira

Abstract

This paper investigates the exchange rate dynamics implied by a heterogeneous agent model proposed in De Grauwe and Grimaldi (2006). The two groups of agents, chartists and fundamentalists, use simple forecasting rules and the ex post relative profitability to decide whether to switch to the other group. We extend this model by introducing a simple evolutionary selection mechanism which allows agents not only to switch between groups but also to adapt the forecasting rule of each group over time. Two results stand out: (i) This selection process naturally leads agents to choose forecasting rules over time which results in the convergence of the exchange rate to its fundamental value; and (ii) The learning rule is not robust to the introduction of shocks to the fundamental. Once we allow for random variation in the fundamental, the model exhibits again all of the nonlinear features discussed in De Grauwe and Grimaldi (2006): the disconnect puzzle, volatility clustering and fat tails.
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  • Dewachter, Hans & Houssa, Romain & Lyrio, Marco & Kaltwasser, Pablo Rovira, 2011. "Dynamic Forecasting Rules and the Complexity of Exchange Rate Dynamics," Insper Working Papers wpe_260, Insper Working Paper, Insper Instituto de Ensino e Pesquisa.
  • Handle: RePEc:ibm:ibmecp:wpe_260
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    References listed on IDEAS

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    1. Frankel, Jeffrey A & Froot, Kenneth A, 1986. "Understanding the U.S. Dollar in the Eighties: The Expectations of Chartists and Fundamentalists," The Economic Record, The Economic Society of Australia, vol. 0(0), pages 24-38, Supplemen.
    2. Westerhoff Frank H. & Reitz Stefan, 2003. "Nonlinearities and Cyclical Behavior: The Role of Chartists and Fundamentalists," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 7(4), pages 1-15, December.
    3. Boswijk, H. Peter & Hommes, Cars H. & Manzan, Sebastiano, 2007. "Behavioral heterogeneity in stock prices," Journal of Economic Dynamics and Control, Elsevier, vol. 31(6), pages 1938-1970, June.
    4. Hommes, Cars, 2011. "The heterogeneous expectations hypothesis: Some evidence from the lab," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 1-24, January.
    5. Chiarella, Carl & He, Xue-Zhong, 2002. "Heterogeneous Beliefs, Risk and Learning in a Simple Asset Pricing Model," Computational Economics, Springer;Society for Computational Economics, vol. 19(1), pages 95-132, February.
    6. de Jong, Eelke & Verschoor, Willem F.C. & Zwinkels, Remco C.J., 2010. "Heterogeneity of agents and exchange rate dynamics: Evidence from the EMS," Journal of International Money and Finance, Elsevier, vol. 29(8), pages 1652-1669, December.
    7. Amilon, Henrik, 2008. "Estimation of an adaptive stock market model with heterogeneous agents," Journal of Empirical Finance, Elsevier, vol. 15(2), pages 342-362, March.
    8. William A. Brock & Cars H. Hommes, 1997. "A Rational Route to Randomness," Econometrica, Econometric Society, vol. 65(5), pages 1059-1096, September.
    9. 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.
    10. 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.
    11. Lux, Thomas, 1998. "The socio-economic dynamics of speculative markets: interacting agents, chaos, and the fat tails of return distributions," Journal of Economic Behavior & Organization, Elsevier, vol. 33(2), pages 143-165, January.
    12. De Grauwe, Paul & Grimaldi, Marianna, 2005. "Heterogeneity of agents, transactions costs and the exchange rate," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 691-719, April.
    13. Paul De Grauwe & Marianna Grimaldi, 2005. "The Exchange Rate and its Fundamentals in a Complex World," Review of International Economics, Wiley Blackwell, vol. 13(3), pages 549-575, August.
    14. Taylor, Mark P. & Allen, Helen, 1992. "The use of technical analysis in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 11(3), pages 304-314, June.
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