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Heterogeneous expectations and long range correlation of the volatility of asset returns

Author

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  • Jérôme Coulon

    (SCOR SE Zurich Branch - SCOR SE Zurich Branch)

  • Yannick Malevergne

    (COACTIS - COnception de l'ACTIon en Situation - UL2 - Université Lumière - Lyon 2 - UJM - Université Jean Monnet - Saint-Étienne)

Abstract

Inspired by the recent literature on aggregation theory, we aim at relating the long range correlation of the stocks return volatility to the heterogeneity of the investors' expectations about the level of the future volatility. Based on a semi-parametric model of investors' anticipations, we make the connection between the distributional properties of the heterogeneity parameters and the auto-covariance/auto-correlation functions of the realized volatility. We report different behaviors, or change of convention, whose observation depends on the market phase under consideration. In particular, we report and justify the fact that the volatility exhibits significantly longer memory during the phases of speculative bubble than during the phase of recovery following the collapse of a speculative bubble.

Suggested Citation

  • Jérôme Coulon & Yannick Malevergne, 2010. "Heterogeneous expectations and long range correlation of the volatility of asset returns," Working Papers halshs-00541953, HAL.
    • Handle: RePEc:hal:wpaper:halshs-00541953
    Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00541953
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    Cited by:

    1. Samuel E. Vazquez, 2009. "Scale Invariance, Bounded Rationality and Non-Equilibrium Economics," Papers 0902.3840, arXiv.org.

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