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

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  • Reiner Franke

    () (University of Kiel)

  • Frank Westerhoff

    (University of Bamberg)

Abstract

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

  • Reiner Franke & Frank Westerhoff, 2016. "Why a simple herding model may generate the stylized facts of daily returns: explanation and estimation," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 11(1), pages 1-34, April.
    • Handle: RePEc:spr:jeicoo:v:11:y:2016:i:1:d:10.1007_s11403-014-0140-6
    DOI: 10.1007/s11403-014-0140-6
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    as
    1. 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.
    2. 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.
    3. 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.
    4. Lee, Bong-Soo & Ingram, Beth Fisher, 1991. "Simulation estimation of time-series models," Journal of Econometrics, Elsevier, vol. 47(2-3), pages 197-205, February.
    5. 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.
    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. Hnatkovska, Viktoria & Marmer, Vadim & Tang, Yao, 2012. "Comparison of misspecified calibrated models: The minimum distance approach," Journal of Econometrics, Elsevier, vol. 169(1), pages 131-138.
    9. Donald W. K. Andrews, 2004. "the Block-Block Bootstrap: Improved Asymptotic Refinements," Econometrica, Econometric Society, vol. 72(3), pages 673-700, May.
    10. 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.
    11. Peter Winker & Manfred Gilli & Vahidin Jeleskovic, 2007. "An objective function for simulation based inference on exchange rate data," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 2(2), pages 125-145, December.
    12. Westerhoff, Frank H. & Dieci, Roberto, 2006. "The effectiveness of Keynes-Tobin transaction taxes when heterogeneous agents can trade in different markets: A behavioral finance approach," Journal of Economic Dynamics and Control, Elsevier, vol. 30(2), pages 293-322, February.
    13. Menkhoff, Lukas & Rebitzky, Rafael R. & Schröder, Michael, 2009. "Heterogeneity in exchange rate expectations: Evidence on the chartist-fundamentalist approach," Journal of Economic Behavior & Organization, Elsevier, vol. 70(1-2), pages 241-252, May.
    14. Wrede, Matthias, 1999. "A note on reliefs for traveling expenses to work," BERG Working Paper Series 30, Bamberg University, Bamberg Economic Research Group.
    15. 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.
    16. 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.
    17. Kurt A. Hafner, 2015. "Tax Competition and Economic Integration," Review of Development Economics, Wiley Blackwell, vol. 19(1), pages 45-61, February.
    18. Franke, Reiner, 2009. "Applying the method of simulated moments to estimate a small agent-based asset pricing model," Journal of Empirical Finance, Elsevier, vol. 16(5), pages 804-815, December.
    19. 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.
    20. Westerhoff Frank H., 2008. "The Use of Agent-Based Financial Market Models to Test the Effectiveness of Regulatory Policies," Journal of Economics and Statistics (Jahrbuecher fuer Nationaloekonomie und Statistik), De Gruyter, vol. 228(2-3), pages 195-227, April.
    21. 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.
    22. Farmer, J. Doyne & Joshi, Shareen, 2002. "The price dynamics of common trading strategies," Journal of Economic Behavior & Organization, Elsevier, vol. 49(2), pages 149-171, October.
    23. 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.
    24. 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.
    25. Heemeijer, Peter & Hommes, Cars & Sonnemans, Joep & Tuinstra, Jan, 2009. "Price stability and volatility in markets with positive and negative expectations feedback: An experimental investigation," Journal of Economic Dynamics and Control, Elsevier, vol. 33(5), pages 1052-1072, May.
    26. Szüle, Borbála, 2003. "Inside financial conglomerates: Effects in the Hungarian pension fund markets," BERG Working Paper Series 42, Bamberg University, Bamberg Economic Research Group.
    27. Lux, Thomas, 1997. "Time variation of second moments from a noise trader/infection model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(1), pages 1-38, November.
    28. 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.
    29. Lukas Menkhoff & Mark P. Taylor, 2007. "The Obstinate Passion of Foreign Exchange Professionals: Technical Analysis," Journal of Economic Literature, American Economic Association, vol. 45(4), pages 936-972, December.
    30. Westerhoff, Frank H., 2003. "Expectations driven distortions in the foreign exchange market," Journal of Economic Behavior & Organization, Elsevier, vol. 51(3), pages 389-412, July.
    31. 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.
    32. R. Cont, 2001. "Empirical properties of asset returns: stylized facts and statistical issues," Quantitative Finance, Taylor & Francis Journals, vol. 1(2), pages 223-236.
    33. 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.
    34. 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.
    35. Franke, Reiner, 2010. "On the specification of noise in two agent-based asset pricing models," Journal of Economic Dynamics and Control, Elsevier, vol. 34(6), pages 1140-1152, June.
    36. 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.
    37. Carsten Eckel, 2009. "International Trade and Retailing," CESifo Working Paper Series 2597, CESifo Group Munich.
    38. Kächelein, Holger, 2004. "Capital Tax Competition and Partial Cooperation : Welfare Enhancing or not?," BERG Working Paper Series 51, Bamberg University, Bamberg Economic Research Group.
    39. 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.
    40. Lux, Thomas, 1995. "Herd Behaviour, Bubbles and Crashes," Economic Journal, Royal Economic Society, vol. 105(431), pages 881-896, July.
    41. Wrede, Matthias, 1999. "Mobility and reliefs for traveling expenses to work," BERG Working Paper Series 33, Bamberg University, Bamberg Economic Research Group.
    42. Malaj, Arben & Mema, Fatmir, 2003. "Strategic privatisation: Its achievements and challenges," BERG Working Paper Series 41, Bamberg University, Bamberg Economic Research Group.
    43. Gaber, Stevan, 2010. "Economic implications from deficit finance," BERG Working Paper Series 69, Bamberg University, Bamberg Economic Research Group.
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    Cited by:

    1. repec:eee:ecmode:v:64:y:2017:i:c:p:322-333 is not listed on IDEAS
    2. Gaffeo, Edoardo & Molinari, Massimo, 2017. "Taxing financial transactions in fundamentally heterogeneous markets," Economic Modelling, Elsevier, vol. 64(C), pages 322-333.
    3. Barde, Sylvain, 2016. "Direct comparison of agent-based models of herding in financial markets," Journal of Economic Dynamics and Control, Elsevier, vol. 73(C), pages 329-353.
    4. 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.
    5. Schmitt, Noemi & Westerhoff, Frank, 2017. "On the bimodality of the distribution of the S&P 500's distortion: Empirical evidence and theoretical explanations," Journal of Economic Dynamics and Control, Elsevier, vol. 80(C), pages 34-53.
    6. repec:eee:dyncon:v:85:y:2017:i:c:p:21-45 is not listed on IDEAS
    7. repec:eee:ecosta:v:5:y:2018:i:c:p:83-106 is not listed on IDEAS
    8. Kukacka, Jiri & Barunik, Jozef, 2017. "Estimation of financial agent-based models with simulated maximum likelihood," Journal of Economic Dynamics and Control, Elsevier, vol. 85(C), pages 21-45.

    More about this item

    Keywords

    Structural stochastic volatility; Method of simulated moments; Autocorrelation pattern; Fat tails; Bootstrapped $$p$$ p values;

    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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