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The reaction of stock markets to crashes and events: A comparison study between emerging and mature markets using wavelet transforms

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  • Sharkasi, Adel
  • Crane, Martin
  • Ruskin, Heather J.
  • Matos, Jose A.

Abstract

We study here the behaviour of the first three eigenvalues (λ1,λ2,λ3) and their ratios [(λ1/λ2),(λ1/λ3),(λ2/λ3)] of the covariance matrices of the original return series and of those rebuilt from wavelet components for emerging and mature markets. It has been known for some time that the largest eigenvalue (λ1) contains information on the risk associated with the particular assets of which the covariance matrix is comprised. Here, we wish to ascertain whether the subdominant eigenvalues (λ2,λ3) hold information on the risk of the stock market and also to measure the recovery time for emerging and mature markets. To do this, we use the discrete wavelet transform which gives a clear picture of the movements in the return series by reconstructing them using each wavelet component. Our results appear to indicate that mature markets respond to crashes differently to emerging ones, in that emerging markets may take up to two months to recover while major markets take less than a month to do so. In addition, the results appears to show that the subdominant eigenvalues (λ2,λ3) give additional information on market movement, especially for emerging markets and that a study of the behaviour of the other eigenvalues may provide insight on crash dynamics.

Suggested Citation

  • Sharkasi, Adel & Crane, Martin & Ruskin, Heather J. & Matos, Jose A., 2006. "The reaction of stock markets to crashes and events: A comparison study between emerging and mature markets using wavelet transforms," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 368(2), pages 511-521.
    • Handle: RePEc:eee:phsmap:v:368:y:2006:i:2:p:511-521
    DOI: 10.1016/j.physa.2005.12.048
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    References listed on IDEAS

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    1. Sandeep Patel & Asani Sarkar, 1998. "Stock market crises in developed and emerging markets," Research Paper 9809, Federal Reserve Bank of New York.
    2. Sharifi, S. & Crane, M. & Shamaie, A. & Ruskin, H., 2004. "Random matrix theory for portfolio optimization: a stability approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 335(3), pages 629-643.
    3. Di Matteo, T. & Aste, T. & Dacorogna, M.M., 2003. "Scaling behaviors in differently developed markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 183-188.
    4. Plerou, V. & Gopikrishnan, P. & Rosenow, B. & Amaral, L.A.N. & Stanley, H.E., 2001. "Collective behavior of stock price movements—a random matrix theory approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 299(1), pages 175-180.
    5. Pafka, Szilárd & Kondor, Imre, 2003. "Noisy covariance matrices and portfolio optimization II," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 319(C), pages 487-494.
    6. Adel Sharkasi & Martin Crane & Heather J. Ruskin, 2006. "Apples and Oranges: the difference between the Reaction of the Emerging and Mature Markets to Crashes," Springer Books, in: Hideki Takayasu (ed.), Practical Fruits of Econophysics, pages 38-42, Springer.
    7. Philip D Wooldridge & Dietrich Domanski & Anna Cobau, 2003. "Changing links between mature and emerging financial markets," BIS Quarterly Review, Bank for International Settlements, September.
    8. Kwapień, J & Drożdż, S & Speth, J, 2004. "Time scales involved in emergent market coherence," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 337(1), pages 231-242.
    9. Vasiliki Plerou & Parameswaran Gopikrishnan & Bernd Rosenow & Luis A. Nunes Amaral & H. Eugene Stanley, 1999. "Universal and non-universal properties of cross-correlations in financial time series," Papers cond-mat/9902283, arXiv.org.
    10. Galluccio, Stefano & Bouchaud, Jean-Philippe & Potters, Marc, 1998. "Rational decisions, random matrices and spin glasses," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 259(3), pages 449-456.
    11. Salomons, Roelof & Grootveld, Henk, 2002. "The equity risk premium: emerging versus developed markets," Research Report 02E45, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    12. Matteo, T. Di & Aste, T. & Dacorogna, Michel M., 2005. "Long-term memories of developed and emerging markets: Using the scaling analysis to characterize their stage of development," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 827-851, April.
    13. repec:dgr:rugsom:02e45 is not listed on IDEAS
    14. Ilhan Meric & Gulser Meric, 1997. "Co-Movements of European Equity Markets Before and After the 1987 Crash," Multinational Finance Journal, Multinational Finance Journal, vol. 1(2), pages 137-152, June.
    15. Wilcox, Diane & Gebbie, Tim, 2004. "On the analysis of cross-correlations in South African market data," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 344(1), pages 294-298.
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    6. Quinton Morris & Gary Van Vuuren & Paul Styger, 2009. "Further Evidence Of Long Memory In The South African Stock Market," South African Journal of Economics, Economic Society of South Africa, vol. 77(1), pages 81-101, March.
    7. Khalfaoui, Rabeh, 2018. "Oil–gold time varying nexus: A time–frequency analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 503(C), pages 86-104.
    8. Jammazi, Rania, 2012. "Cross dynamics of oil-stock interactions: A redundant wavelet analysis," Energy, Elsevier, vol. 44(1), pages 750-777.
    9. Conlon, T. & Ruskin, H.J. & Crane, M., 2007. "Random matrix theory and fund of funds portfolio optimisation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 382(2), pages 565-576.
    10. Jiawen Xu & Yixuan Li & Kai Liu & Tao Chen, 2023. "Portfolio selection: from under-diversification to concentration," Empirical Economics, Springer, vol. 64(4), pages 1539-1557, April.
    11. Khalfaoui Rabeh, K & Boutahar Mohamed, B, 2011. "A time-scale analysis of systematic risk: wavelet-based approach," MPRA Paper 31938, University Library of Munich, Germany.
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