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Why a simple herding model may generate the stylized facts of daily returns: Explanation and estimation

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  • Franke, Reiner
  • Westerhoff, Frank

Abstract

The paper proposes an elementary agent-based asset pricing model that, invoking the two trader types of fundamentalists and chartists, comprises four features: (i) price determination by excess demand; (ii) a herding mechanism that gives rise to a macroscopic adjustment equation for the market fractions of the two groups; (iii) a rush towards fundamentalism when the price misalignment becomes too large; and (iv) a stronger noise component in the demand per chartist trader than in the demand per fundamentalist trader, which implies a structural stochastic volatility in the returns. Combining analytical and numerical methods, the interaction between these elements is studied in the phase plane of the price and a majority index. In addition, the model is estimated by the method of simulated moments, where the choice of the moments reflects the basic stylized facts of the daily returns of a stock market index. A (parametric) bootstrap procedure serves to set up an econometric test to evaluate the model's goodness-of-fit, which proves to be highly satisfactory. The bootstrap also makes sure that the estimated structural parameters are well identified.

Suggested Citation

  • Franke, Reiner & Westerhoff, Frank, 2011. "Why a simple herding model may generate the stylized facts of daily returns: Explanation and estimation," BERG Working Paper Series 83, Bamberg University, Bamberg Economic Research Group.
    • Handle: RePEc:zbw:bamber:83
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    References listed on IDEAS

    as
    1. Witte, Björn-Christopher, 2011. "Removing systematic patterns in returns in a financial market model by artificially intelligent traders," BERG Working Paper Series 82, Bamberg University, Bamberg Economic Research Group.
    2. Pfeffer, Annamaria, 2010. "Staatliche Zinssubvention und Auslandsverschuldung: Eine Mittelwert-Varianz-Analyse am Beispiel Ungarn," BERG Working Paper Series 72, Bamberg University, Bamberg Economic Research Group.
    3. Bexheti, Abdulmenaf, 2010. "Anti-crisis measures in the republic of Macedonia and their effects: Are they sufficient?," BERG Working Paper Series 70, Bamberg University, Bamberg Economic Research Group.
    4. Altonji, Joseph G & Segal, Lewis M, 1996. "Small-Sample Bias in GMM Estimation of Covariance Structures," Journal of Business & Economic Statistics, American Statistical Association, vol. 14(3), pages 353-366, July.
    5. Nusser, Michael, 1998. "The implications of innovations and wage structure rigidity on economic growth and unemployment: A Schumpeterian approach to endogenous growth theory," BERG Working Paper Series 26, Bamberg University, Bamberg Economic Research Group.
    6. Bernd Hayo & Matthias Wrede, 2004. "Fiscal equalisation: Principles and an application to the European Union," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 23(3), pages 333-348, December.
    7. Lines Marji & Westerhoff Frank, 2012. "Effects of Inflation Expectations on Macroeconomic Dynamics: Extrapolative Versus Regressive Expectations," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-30, October.
    8. Treier, Volker, 1999. "Unemployment in reforming countries: Causes, fiscal impacts and the success of transformation," BERG Working Paper Series 29, Bamberg University, Bamberg Economic Research Group.
    9. Azzam, Osmat & Dhamo, Sotiraq & Kola, Tonin, 2005. "Introducing National Health Accounts in Albania," BERG Working Paper Series 55, Bamberg University, Bamberg Economic Research Group.
    10. Wrede, Matthias, 1999. "A note on reliefs for traveling expenses to work," BERG Working Paper Series 30, Bamberg University, Bamberg Economic Research Group.
    11. Witte, Björn-Christopher, 2009. "Temporal information gaps and market efficiency: A dynamic behavioral analysis," BERG Working Paper Series 64, Bamberg University, Bamberg Economic Research Group.
    12. Aßmann, Christian, 2008. "Assessing the Effect of Current Account and Currency Crises on Economic Growth," Economics Working Papers 2008-01, Christian-Albrechts-University of Kiel, Department of Economics.
    13. Wenzel, Heinz-Dieter (Ed.), 2007. "Der Kaspische Raum: Ausgewählte Themen zu Politik und Wirtschaft," BERG Working Paper Series 57, Bamberg University, Bamberg Economic Research Group.
    14. Alfarano Simone & Milakovic Mishael, 2012. "Identification of Interaction Effects in Survey Expectations: A Cautionary Note," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-23, October.
    15. Kurt A. Hafner, 2015. "Tax Competition and Economic Integration," Review of Development Economics, Wiley Blackwell, vol. 19(1), pages 45-61, February.
    16. Malaj, Arben & Mema, Fatmir & Hida, Sybi, 2005. "Albania, financial management in the education system: Higher education," BERG Working Paper Series 54, Bamberg University, Bamberg Economic Research Group.
    17. Lackenbauer, Jörg & Wenzel, Heinz-Dieter, 2001. "Zum Stand von Transformations- und EU-Beitrittsprozess in Mittel- und Osteuropa: Eine komparative Analyse," BERG Working Paper Series 37, Bamberg University, Bamberg Economic Research Group.
    18. Nusser, Michael, 1999. "The implications of wage structure rigidity on human capital accumulation, economic growth and unemployment: A Schumpeterian approach to endogenous growth theory," BERG Working Paper Series 28, Bamberg University, Bamberg Economic Research Group.
    19. Wrede, Matthias, 1998. "Pareto efficiency of the pay-as-you-go pension system in a three-period-OLG model," BERG Working Paper Series 27, Bamberg University, Bamberg Economic Research Group.
    20. Kalusche, Johannes, 2010. "Die Auswirkungen der Steuer- und Sozialreformen der Jahre 1999 - 2005 auf die automatischen Stabilisatoren Deutschlands," BERG Working Paper Series 76, Bamberg University, Bamberg Economic Research Group.
    21. Szüle, Borbála, 2003. "Inside financial conglomerates: Effects in the Hungarian pension fund markets," BERG Working Paper Series 42, Bamberg University, Bamberg Economic Research Group.
    22. Westerhoff, Frank, 2009. "A simple agent-based financial market model: Direct interactions and comparisons of trading profits," BERG Working Paper Series 61, Bamberg University, Bamberg Economic Research Group.
    23. 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.
    24. Bogdani, Irena Dh., 2002. "Public expenditure planning in Albania," BERG Working Paper Series 39, Bamberg University, Bamberg Economic Research Group.
    25. Kola, Tonin & Liko, Elida, 2008. "An empirical assessment of alternative exchange rate regimes in medium term in Albania," BERG Working Paper Series 58, Bamberg University, Bamberg Economic Research Group.
    26. Gervai, Pál & Trautmann, László & Wieszt, Attila, 2010. "The mission and culture of the corporation," BERG Working Paper Series 74, Bamberg University, Bamberg Economic Research Group.
    27. Franke, Reiner & Westerhoff, Frank, 2012. "Structural stochastic volatility in asset pricing dynamics: Estimation and model contest," Journal of Economic Dynamics and Control, Elsevier, vol. 36(8), pages 1193-1211.
    28. Stübben, Felix & Lackenbauer, Jörg & Wenzel, Heinz-Dieter, 2005. "Eine Dekade wirtschaftlicher Transformation in den Westbalkanstaaten: Ein Überblick," BERG Working Paper Series 53, Bamberg University, Bamberg Economic Research Group.
    29. Haensgen, Tineke, 2002. "Das Kyoto Protokoll: Eine ökonomische Analyse unter besonderer Berücksichtigung der flexiblen Mechanismen," BERG Working Paper Series 40, Bamberg University, Bamberg Economic Research Group.
    30. Roberto Dieci & Frank Westerhoff, 2012. "A simple model of a speculative housing market," Journal of Evolutionary Economics, Springer, vol. 22(2), pages 303-329, April.
    31. Carsten Eckel, 2009. "International Trade and Retailing," CESifo Working Paper Series 2597, CESifo.
    32. Kächelein, Holger, 2004. "Capital Tax Competition and Partial Cooperation : Welfare Enhancing or not?," BERG Working Paper Series 51, Bamberg University, Bamberg Economic Research Group.
    33. Jenei, György, 2009. "A post-accession crisis? Political developments and public sector modernization in Hungary," BERG Working Paper Series 67, Bamberg University, Bamberg Economic Research Group.
    34. Wrede, Matthias, 1999. "Mobility and reliefs for traveling expenses to work," BERG Working Paper Series 33, Bamberg University, Bamberg Economic Research Group.
    35. Malaj, Arben & Mema, Fatmir, 2003. "Strategic privatisation: Its achievements and challenges," BERG Working Paper Series 41, Bamberg University, Bamberg Economic Research Group.
    36. Thiel, Elke, 2004. "European Integration of Albania : Economic Aspects," BERG Working Paper Series 49, Bamberg University, Bamberg Economic Research Group.
    37. Witte, Björn-Christopher, 2011. "Fund managers - why the best might be the worst: On the evolutionary vigor of risk-seeking behavior," BERG Working Paper Series 81, Bamberg University, Bamberg Economic Research Group.
    38. Gaber, Stevan, 2010. "Economic implications from deficit finance," BERG Working Paper Series 69, Bamberg University, Bamberg Economic Research Group.
    39. Kremer, Jana, 1999. "Arbeitslosigkeit und Steuerpolitik," BERG Working Paper Series 32, Bamberg University, Bamberg Economic Research Group.
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    Cited by:

    1. Fabio Tramontana, 2013. "The role of cognitively biased imitators in a small scale agent-based financial market," DEM Working Papers Series 029, University of Pavia, Department of Economics and Management.

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    More about this item

    Keywords

    structural stochastic volatility; method of simulated moments; autocorrelation pattern; fat tails; bootstrapped p-values;
    All these keywords.

    JEL classification:

    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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