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Bubbles and long-range dependence in asset prices volatilities

Author

Listed:
  • KIRMAN, Alan
  • TEYSSIÈRE, Gilles

Abstract

A model for a financial asset is constructed with two types of agents. The agents differ in terms of their beliefs. The proportions of the two types change over time according to a stochastic process which models the interaction between the agents. Thus, unlike other models, agents do not persist in holding "wrong" beliefs. Bubble-like phenomena in the assetprice occur. We consider several tests for detecting long range dependence and change-points in the conditional variance process. Although the model seems to generate long-memory properties of the volatility series, we show that this is due to the switching of regimes which are detected by the tests we propose.

Suggested Citation

  • KIRMAN, Alan & TEYSSIÈRE, Gilles, 2002. "Bubbles and long-range dependence in asset prices volatilities," LIDAM Discussion Papers CORE 2002060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    • Handle: RePEc:cor:louvco:2002060
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    File URL: https://sites.uclouvain.be/core/publications/coredp/coredp2002.html
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    Citations

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    Cited by:

    1. Jonathan Dark, 2004. "Long memory in the volatility of the Australian All Ordinaries Index and the Share Price Index futures," Monash Econometrics and Business Statistics Working Papers 5/04, Monash University, Department of Econometrics and Business Statistics.
    2. Mikhail Anufriev & Giulio Bottazzi, 2004. "Asset Pricing Model with Heterogeneous Investment Horizons," LEM Papers Series 2004/22, Laboratory of Economics and Management (LEM), Sant'Anna School of Advanced Studies, Pisa, Italy.
    3. Kirman, Alan & Teyssiere, Gilles, 2005. "Testing for bubbles and change-points," Journal of Economic Dynamics and Control, Elsevier, vol. 29(4), pages 765-799, April.
    4. Jonathan Dark, 2004. "Bivariate error correction FIGARCH and FIAPARCH models on the Australian All Ordinaries Index and its SPI futures," Monash Econometrics and Business Statistics Working Papers 4/04, Monash University, Department of Econometrics and Business Statistics.
    5. Bottazzi, Giulio & Dosi, Giovanni & Rebesco, Igor, 2005. "Institutional architectures and behavioral ecologies in the dynamics of financial markets," Journal of Mathematical Economics, Elsevier, vol. 41(1-2), pages 197-228, February.
    6. Anufriev Mikhail & Bottazzi Giulio, 2012. "Asset Pricing with Heterogeneous Investment Horizons," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 16(4), pages 1-38, October.
    7. Sriboonchitta, Songsak & Chaitip, Prasert & Balogh, Peter & Kovacs, Sandor & Chaiboonsri, Chukiat, 2011. "On Tests For Long Memory Process Behavior Of International Tourism Market: Thailand And India," APSTRACT: Applied Studies in Agribusiness and Commerce, AGRIMBA, vol. 5(3-4), pages 1-6.
    8. Dufrénot, Gilles & Lardic, Sandrine & Mathieu, Laurent & Mignon, Valérie & Péguin-Feissolle, Anne, 2008. "Explaining the European exchange rates deviations: Long memory or non-linear adjustment?," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 18(3), pages 207-215, July.

    More about this item

    Keywords

    interaction; bubbles; testing; long-memory; heteroskedasticity; change-point;
    All these keywords.

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • D40 - Microeconomics - - Market Structure, Pricing, and Design - - - General
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

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