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Nonlinear dynamics and recurrence plots for detecting financial crisis

Author

Listed:
  • Peter Martey Addo

    (PSE - Paris School of Economics - UP1 - Université Paris 1 Panthéon-Sorbonne - ENS-PSL - École normale supérieure - Paris - PSL - Université Paris Sciences et Lettres - EHESS - École des hautes études en sciences sociales - ENPC - École des Ponts ParisTech - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement, CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

  • Monica Billio

    (University of Ca’ Foscari [Venice, Italy])

  • Dominique Guegan

    (CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique)

Abstract
Identification of financial bubbles and crisis is a topic of major concern since it is important to prevent collapses that can severely impact nations and economies. Our analysis deals with the use of the recently proposed 'delay vector variance' (DVV) method, which examines local predictability of a signal in the phase space to detect the presence of determinism and nonlinearity in a time series. Optimal embedding parameters used in the DVV analysis are obtained via a differential entropy based method using wavelet-based surrogates. We exploit the concept of recurrence plots to study the stock market to locate hidden patterns, non-stationarity, and to examine the nature of these plots in events of financial crisis. In particular, the recurrence plots are employed to detect and characterize financial cycles. A comprehensive analysis of the feasibility of this approach is provided. We show that our methodology is useful in the diagnosis and detection of financial bubbles, which have significantly impacted economic upheavals in the past few decades.

Suggested Citation

  • Peter Martey Addo & Monica Billio & Dominique Guegan, 2013. "Nonlinear dynamics and recurrence plots for detecting financial crisis," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) hal-00964975, HAL.
    • Handle: RePEc:hal:cesptp:hal-00964975
    DOI: 10.1016/j.najef.2013.02.014
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    References listed on IDEAS

    as
    1. Claude Diebolt & Catherine Kyrtsou, 2005. "New Trends in Macroeconomics," Post-Print hal-00279607, HAL.
    2. Peter Martey Addo & Monica Billio & Dominique Guegan, 2012. "Alternative Methodology for Turning-Point Detection in Business Cycle : A Wavelet Approach," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00694420, HAL.
    3. Belaire-Franch, Jorge, 2004. "Testing for non-linearity in an artificial financial market: a recurrence quantification approach," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 483-494, August.
    4. Aizenman, Joshua & Noy, Ilan, 2012. "Overview of the special issue on international finance in the aftermath of the 2008 global crisis," The North American Journal of Economics and Finance, Elsevier, vol. 23(3), pages 265-268.
    5. Peter Martey Addo & Monica Billio & Dominique Guegan, 2013. "Understanding Exchange Rates Dynamics," Documents de travail du Centre d'Economie de la Sorbonne 13023, Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne.
    6. Claude Diebolt & Catherine Kyrtsou (ed.), 2005. "New Trends in Macroeconomics," Springer Books, Springer, number 978-3-540-28556-4, January.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Nonlinearity analysis; Surrogates; Delay vector variance (DVV) method; Wavelets; Financial bubbles; Embedding parameters; Recurrence plots;
    All these keywords.

    JEL classification:

    • C14 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Semiparametric and Nonparametric Methods: General
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • G01 - Financial Economics - - General - - - Financial Crises

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