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On the specification of noise in two agent-based asset pricing models

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  • Franke, Reiner

Abstract

The paper is concerned with two recent agent-based models of speculative dynamics from the literature, one by Gaunersdorfer and Hommes (2007) and the other by He and Li (2007). At short as well as long lags, both of them display an autocorrelation structure in absolute and squared returns that comes fairly close to that of real data at a daily frequency. The note argues that these long memory effects are to be ascribed to the stochastic specification of the price equation, which despite the wide fluctuations in these models fails to normalize the price shocks. Under an appropriate respecification, the long memory completely disappears. It is subsequently shown that an alternative introduction of randomness, which may be called structural stochastic volatility, can restore the original properties and even improves upon them.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:dyncon:v:34:y:2010:i:6:p:1140-1152
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    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.
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    Cited by:

    1. Noemi Schmitt & Frank Westerhoff, 2017. "Heterogeneity, spontaneous coordination and extreme events within large-scale and small-scale agent-based financial market models," Journal of Evolutionary Economics, Springer, vol. 27(5), pages 1041-1070, November.
    2. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 16, July-Dece.
    3. Schmitt, Noemi, 2018. "Heterogeneous expectations and asset price dynamics," BERG Working Paper Series 134, Bamberg University, Bamberg Economic Research Group.
    4. Agliari, Anna & Naimzada, Ahmad & Pecora, Nicolò, 2018. "Boom-bust dynamics in a stock market participation model with heterogeneous traders," Journal of Economic Dynamics and Control, Elsevier, vol. 91(C), pages 458-468.
    5. Kukacka, Jiri & Kristoufek, Ladislav, 2020. "Do ‘complex’ financial models really lead to complex dynamics? Agent-based models and multifractality," Journal of Economic Dynamics and Control, Elsevier, vol. 113(C).
    6. He, Xue-Zhong & Li, Youwei, 2015. "Testing of a market fraction model and power-law behaviour in the DAX 30," Journal of Empirical Finance, Elsevier, vol. 31(C), pages 1-17.
    7. 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.
    8. Tramontana, Fabio & Westerhoff, Frank & Gardini, Laura, 2010. "On the complicated price dynamics of a simple one-dimensional discontinuous financial market model with heterogeneous interacting traders," Journal of Economic Behavior & Organization, Elsevier, vol. 74(3), pages 187-205, June.
    9. 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.
    10. Kai Li, 2014. "Asset Price Dynamics with Heterogeneous Beliefs and Time Delays," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2014, January-A.
    11. Frank Westerhoff & Reiner Franke, 2012. "Converse trading strategies, intrinsic noise and the stylized facts of financial markets," Quantitative Finance, Taylor & Francis Journals, vol. 12(3), pages 425-436, June.
    12. Qi Nan Zhai, 2015. "Asset Pricing Under Ambiguity and Heterogeneity," PhD Thesis, Finance Discipline Group, UTS Business School, University of Technology, Sydney, number 1-2015, January-A.
    13. F. Cavalli & A. Naimzada & N. Pecora & M. Pireddu, 2021. "Market sentiment and heterogeneous agents in an evolutive financial model," Journal of Evolutionary Economics, Springer, vol. 31(4), pages 1189-1219, September.
    14. Cavalli, Fausto & Naimzada, Ahmad & Pecora, Nicolò & Pireddu, Marina, 2018. "Market sentiment and heterogeneous fundamentalists in an evolutive financial market mode," MPRA Paper 90289, University Library of Munich, Germany.

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