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Heterogeneous speculators, endogenous fluctuations and interacting markets: A model of stock prices and exchange rates

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  • Dieci, Roberto
  • Westerhoff, Frank

Abstract

We develop a discrete-time model in which the stock markets of two countries are linked via and with the foreign exchange market. The foreign exchange market is characterized by nonlinear interactions between technical and fundamental traders. Such interactions may generate complex dynamics and recurrent switching between "bull" and "bear" market phases via a well-known pitchfork and period-doubling bifurcation path, when technical traders become more aggressive. The two stock markets are populated by fundamentalists, and prices tend to evolve towards stable steady states, driven by linear laws of motion. A connection between such markets is established by allowing investors to trade abroad, and the resulting three-dimensional dynamical system is analyzed. One goal of our paper is to explore potential spill-over effects between foreign exchange and stock markets. A second, related goal is to study how the bifurcation sequence which characterizes the market with heterogeneous speculators is modified in the presence of interactions with other markets.

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  • Dieci, Roberto & Westerhoff, Frank, 2010. "Heterogeneous speculators, endogenous fluctuations and interacting markets: A model of stock prices and exchange rates," Journal of Economic Dynamics and Control, Elsevier, vol. 34(4), pages 743-764, April.
  • Handle: RePEc:eee:dyncon:v:34:y:2010:i:4:p:743-764
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    Cited by:

    1. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 16.
    2. Huang, Weihong & Chen, Zhenxi, 2015. "Heterogeneous agents in multi-markets: A coupled map lattices approach," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 108(C), pages 3-15.
    3. Weihong HUANG & Zhenxi CHEN, 2012. "Regional Financial Markets With Common Currency," Economic Growth Centre Working Paper Series 1210, Nanyang Technological University, School of Social Sciences, Economic Growth Centre.
    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. Chen, Zhenxi & Huang, Weihong & Zheng, Huanhuan, 2015. "Estimating heterogeneous agents behavior in a two-market financial system," FinMaP-Working Papers 48, Collaborative EU Project FinMaP - Financial Distortions and Macroeconomic Performance: Expectations, Constraints and Interaction of Agents.
    6. Lee, Hsiu-Yun, 2011. "Nonlinear exchange rate dynamics under stochastic official intervention," Economic Modelling, Elsevier, vol. 28(4), pages 1510-1518, July.
    7. Reitz, Stefan & Pierdzioch, Christian & Rülke, Jan-Christoph, 2015. "Nonlinear Expectation Formation in the U.S. Stock Market," Annual Conference 2015 (Muenster): Economic Development - Theory and Policy 113210, Verein für Socialpolitik / German Economic Association.
    8. Pierdzioch, Christian & Reitz, Stefan & Ruelke, Jan-Christoph, 2015. "Nonlinear expectation formation in the U.S. stock market: Empirical evidence from the Livingston survey," Kiel Working Papers 1947 [rev.], Kiel Institute for the World Economy (IfW).
    9. He, Xue-Zhong & Zheng, Huanhuan, 2016. "Trading heterogeneity under information uncertainty," Journal of Economic Behavior & Organization, Elsevier, vol. 130(C), pages 64-80.
    10. Roberto Veneziani, 2017. "Macroeconomic and stock market interactions with endogenous aggregate sentiment dynamics," IMK Working Paper 186-2017, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    11. Dieci, Roberto & Westerhoff, Frank, 2011. "On the inherent instability of international financial markets: Natural nonlinear interactions between stock and foreign exchange markets," BERG Working Paper Series 79, Bamberg University, Bamberg Economic Research Group.
    12. Westerhoff, Frank, 2011. "Interactions between the real economy and the stock market," BERG Working Paper Series 84, Bamberg University, Bamberg Economic Research Group.
    13. Lengnick, Matthias & Wohltmann, Hans-Werner, 2016. "Optimal monetary policy in a new Keynesian model with animal spirits and financial markets," Journal of Economic Dynamics and Control, Elsevier, vol. 64(C), pages 148-165.
    14. Huang, Weihong & Chen, Zhenxi, 2014. "Modeling regional linkage of financial markets," Journal of Economic Behavior & Organization, Elsevier, vol. 99(C), pages 18-31.
    15. Zheng, Min & Liu, Ruipeng & Li, Youwei, 2018. "Long memory in financial markets: A heterogeneous agent model perspective," MPRA Paper 84886, University Library of Munich, Germany.
    16. Schmitt, Noemi & Westerhoff, Frank, 2014. "Speculative behavior and the dynamics of interacting stock markets," Journal of Economic Dynamics and Control, Elsevier, vol. 45(C), pages 262-288.
    17. Pierdzioch Christian & Stadtmann Georg, 2010. "Herdenverhalten von Wechselkursprognostikern? / Herd Behavior of Exchange Rate Forecasters?," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 230(4), pages 436-453, August.
    18. Zhu, Mei & Wang, Duo & Guo, Maozheng, 2011. "Stochastic equilibria of an asset pricing model with heterogeneous beliefs and random dividends," Journal of Economic Dynamics and Control, Elsevier, vol. 35(1), pages 131-147, January.
    19. Dieci, Roberto & Westerhoff, Frank, 2016. "Heterogeneous expectations, boom-bust housing cycles, and supply conditions: A nonlinear economic dynamics approach," Journal of Economic Dynamics and Control, Elsevier, vol. 71(C), pages 21-44.
    20. Mark Bowden, 2015. "A model of information flows and confirmatory bias in financial markets," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 38(2), pages 197-215, October.
    21. Dick, Christian D. & Menkhoff, Lukas, 2013. "Exchange rate expectations of chartists and fundamentalists," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1362-1383.
    22. Dieci, Roberto & Westerhoff, Frank, 2015. "Heterogeneous expectations, boom-bust housing cycles, and supply conditions: A nonlinear dynamics approach," BERG Working Paper Series 99, Bamberg University, Bamberg Economic Research Group.
    23. Bowden, Mark P., 2012. "Information contagion within small worlds and changes in kurtosis and volatility in financial prices," Journal of Macroeconomics, Elsevier, vol. 34(2), pages 553-566.
    24. Grosche, Stephanie, 2012. "Limitations of Granger Causality Analysis to assess the price effects from the financialization of agricultural commodity markets under bounded rationality," Discussion Papers 121868, University of Bonn, Institute for Food and Resource Economics.

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