IDEAS home Printed from https://ideas.repec.org/p/hal/wpaper/hal-00597018.html
   My bibliography  Save this paper

New Extreme-Value Dependance Measures and Finance Applications

Author

Listed:
  • Ser-Huang Poon

    (Department of Accounting and Finance - University of Strathclyde [Glasgow])

  • Michael Rockinger

    (GREGH - Groupement de Recherche et d'Etudes en Gestion à HEC - HEC Paris - Ecole des Hautes Etudes Commerciales - CNRS - Centre National de la Recherche Scientifique)

  • J. Tawn

    (Department of mathematics and statistics)

Abstract

In the finance literature, cross-sectional dependence in extreme returns of risky assets is often modelled implicitly assuming an asymptotically dependent structure. If the true dependence structure is asymptotically independent then existing finance models will lead to over-estimation of the risk of simultaneous extreme events. We provide simple techniques for deciding between these dependence classes and for quantifying the degree of dependence in each class. Examples based on daily stock market returns show that there is strong evidence in favour of asymptotically independent models for dependence in extremal stock market returns, and that most of the extremal dependence is due to heteroskedasticity in stock returns processes.

Suggested Citation

  • Ser-Huang Poon & Michael Rockinger & J. Tawn, 2001. "New Extreme-Value Dependance Measures and Finance Applications," Working Papers hal-00597018, HAL.
    • Handle: RePEc:hal:wpaper:hal-00597018
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. P. Hartmann & S. Straetmans & C. G. de Vries, 2004. "Asset Market Linkages in Crisis Periods," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 313-326, February.
    2. Richardson, Matthew & Smith, Tom, 1993. "A Test for Multivariate Normality in Stock Returns," The Journal of Business, University of Chicago Press, vol. 66(2), pages 295-321, April.
    3. Harvey, Campbell R. & Siddique, Akhtar, 1999. "Autoregressive Conditional Skewness," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(4), pages 465-487, December.
    4. Casper De Vries & Jon Danielsson & Casper G, de Vries, 1996. "Tail Index and Quantile Estimation with Very High Frequency Data," CESifo Working Paper Series 116, CESifo.
    5. Jansen, Dennis W & de Vries, Casper G, 1991. "On the Frequency of Large Stock Returns: Putting Booms and Busts into Perspective," The Review of Economics and Statistics, MIT Press, vol. 73(1), pages 18-24, February.
    6. Solnik, Bruno H & Longin, François, 2000. "Extreme Correlation of International Equity Markets," CEPR Discussion Papers 2538, C.E.P.R. Discussion Papers.
    7. Stuart G. Coles & Jonathan A. Tawn, 1994. "Statistical Methods for Multivariate Extremes: An Application to Structural Design," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 43(1), pages 1-31, March.
    8. LONGIN, François & SOLNIK, Bruno, 2000. "Extreme correlation of international equity markets," HEC Research Papers Series 705, HEC Paris.
    9. Francis X. Diebold & Til Schuermann & John D. Stroughair, 1998. "Pitfalls and Opportunities in the Use of Extreme Value Theory in Risk Management," Center for Financial Institutions Working Papers 98-10, Wharton School Center for Financial Institutions, University of Pennsylvania.
    10. ROCKINGER, Michael & JONDEAU, Eric, 2000. "Entropy densities," HEC Research Papers Series 709, HEC Paris.
    11. Rockinger, Michael & Jondeau, Eric, 2002. "Entropy densities with an application to autoregressive conditional skewness and kurtosis," Journal of Econometrics, Elsevier, vol. 106(1), pages 119-142, January.
    12. Terry A. Marsh and Niklas Wagner., 2000. "Return-Volume Dependence and Extremes in International Equity Markets," Research Program in Finance Working Papers RPF-293, University of California at Berkeley.
    13. Longin, Francois M., 2000. "From value at risk to stress testing: The extreme value approach," Journal of Banking & Finance, Elsevier, vol. 24(7), pages 1097-1130, July.
    14. P. Bortot & S. Coles & J. Tawn, 2000. "The multivariate Gaussian tail model: an application to oceanographic data," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 49(1), pages 31-049.
    15. Longin, Francois M, 1996. "The Asymptotic Distribution of Extreme Stock Market Returns," The Journal of Business, University of Chicago Press, vol. 69(3), pages 383-408, July.
    16. Bruno Solnik & François Longin, 2000. "Extreme correlation of International Equity Markets," Working Papers hal-00598166, HAL.
    17. Starica, Catalin, 1999. "Multivariate extremes for models with constant conditional correlations," Journal of Empirical Finance, Elsevier, vol. 6(5), pages 515-553, December.
    18. Martens, Martin & Poon, Ser-Huang, 2001. "Returns synchronization and daily correlation dynamics between international stock markets," Journal of Banking & Finance, Elsevier, vol. 25(10), pages 1805-1827, October.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Viviana Fernández, 2003. "Extreme Value Theory: Value at Risk and Returns Dependence Around the World," Documentos de Trabajo 161, Centro de Economía Aplicada, Universidad de Chile.
    2. Jonathan B. Hill, 2004. "Gaussian Tests of "Extremal White Noise" for Dependent, Heterogeneous, Heavy Tailed Time Series with an Application," Econometrics 0411014, University Library of Munich, Germany, revised 04 Nov 2005.
    3. Sebastian Schich, 2004. "European stock market dependencies when price changes are unusually large," Applied Financial Economics, Taylor & Francis Journals, vol. 14(3), pages 165-177.
    4. Geluk, J.L. & De Vries, C.G., 2006. "Weighted sums of subexponential random variables and asymptotic dependence between returns on reinsurance equities," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 39-56, February.
    5. Fukuhara, Masahiro & Saruwatari, Yasufumi, 2003. "An Analysis of Contagion in Emerging Currency Markets Using Multivariate Extreme Value Theory," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 21(2), pages 113-131, August.
    6. David Laibson & Andrea Repetto & Jeremy Tobacman, 2003. "Wealth Accumulation, Credit Card Borrowing, and Consuption-Income Comovement," Documentos de Trabajo 166, Centro de Economía Aplicada, Universidad de Chile.
    7. Viviana Fernandez, 2004. "Extremal Dependence In Exchange Rate Markets," Econometric Society 2004 Latin American Meetings 13, Econometric Society.
    8. Hartmann, Philipp & Straetmans, Stefan & de Vries, Casper, 2004. "Fundamentals and joint currency crises," Working Paper Series 324, European Central Bank.
    9. K. Minderhoud, 2006. "Systemic Risk in the Dutch Financial Sector," De Economist, Springer, vol. 154(2), pages 177-195, June.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Rockinger, M. & Jondeau, E., 2001. "Conditional Dependency of Financial Series: An Application of Copulas," Working papers 82, Banque de France.
    2. Marco Rocco, 2011. "Extreme value theory for finance: a survey," Questioni di Economia e Finanza (Occasional Papers) 99, Bank of Italy, Economic Research and International Relations Area.
    3. Geluk, J.L. & De Vries, C.G., 2006. "Weighted sums of subexponential random variables and asymptotic dependence between returns on reinsurance equities," Insurance: Mathematics and Economics, Elsevier, vol. 38(1), pages 39-56, February.
    4. De Vries, C.G., 2005. "The simple economics of bank fragility," Journal of Banking & Finance, Elsevier, vol. 29(4), pages 803-825, April.
    5. Bali, Turan G. & Neftci, Salih N., 2003. "Disturbing extremal behavior of spot rate dynamics," Journal of Empirical Finance, Elsevier, vol. 10(4), pages 455-477, September.
    6. P. Hartmann & S. Straetmans & C. G. de Vries, 2004. "Asset Market Linkages in Crisis Periods," The Review of Economics and Statistics, MIT Press, vol. 86(1), pages 313-326, February.
    7. Jorge A. Chan-Lau & Donald J. Mathieson & James Y. Yao, 2004. "Extreme Contagion in Equity Markets," IMF Staff Papers, Palgrave Macmillan, vol. 51(2), pages 1-8.
    8. Gregory R. Duffee, 2001. "Asymmetric cross-sectional dispersion in stock returns: evidence and implications," Working Paper Series 2000-18, Federal Reserve Bank of San Francisco.
    9. Cumperayot, Phornchanok & Kouwenberg, Roy, 2013. "Early warning systems for currency crises: A multivariate extreme value approach," Journal of International Money and Finance, Elsevier, vol. 36(C), pages 151-171.
    10. Henri Bertholon & Alain Monfort & Fulvio Pegoraro, 2006. "Pricing and Inference with Mixtures of Conditionally Normal Processes," Working Papers 2006-28, Center for Research in Economics and Statistics.
    11. Ekaterina Dorodnykh, 2014. "Determinants of stock exchange integration: evidence in worldwide perspective," Journal of Economic Studies, Emerald Group Publishing, vol. 41(2), pages 292 - 316, March.
    12. Hong, Yongmiao & Liu, Yanhui & Wang, Shouyang, 2009. "Granger causality in risk and detection of extreme risk spillover between financial markets," Journal of Econometrics, Elsevier, vol. 150(2), pages 271-287, June.
    13. Packham, Natalie & Woebbeking, Fabian, 2018. "A factor-model approach for correlation scenarios and correlation stress-testing," IRTG 1792 Discussion Papers 2018-034, Humboldt University of Berlin, International Research Training Group 1792 "High Dimensional Nonstationary Time Series".
    14. Claudeci Da Silva & Hugo Agudelo Murillo & Joaquim Miguel Couto, 2014. "Early Warning Systems: Análise De Ummodelo Probit De Contágio De Crise Dos Estados Unidos Para O Brasil(2000-2010)," Anais do XL Encontro Nacional de Economia [Proceedings of the 40th Brazilian Economics Meeting] 110, ANPEC - Associação Nacional dos Centros de Pós-Graduação em Economia [Brazilian Association of Graduate Programs in Economics].
    15. Y. K. Tse & Albert K. C. Tsui, 2000. "A Multivariate GARCH Model with Time-Varying correlations," Econometrics 0004010, University Library of Munich, Germany.
    16. Chollete, Loran & de la Pena , Victor & Lu, Ching-Chih, 2009. "International Diversification: An Extreme Value Approach," UiS Working Papers in Economics and Finance 2009/26, University of Stavanger.
    17. Tae-Hwy Lee & Yong Bao & Burak Saltoglu, 2006. "Evaluating predictive performance of value-at-risk models in emerging markets: a reality check," Journal of Forecasting, John Wiley & Sons, Ltd., vol. 25(2), pages 101-128.
    18. Phornchanok Cumperayot Kouwenberg, 2015. "Stability of Thai Baht: Tales from the Tails," PIER Discussion Papers 1, Puey Ungphakorn Institute for Economic Research.
    19. Straetmans, Stefan & Candelon, Bertrand, 2013. "Long-term asset tail risks in developed and emerging markets," Journal of Banking & Finance, Elsevier, vol. 37(6), pages 1832-1844.
    20. Morana, Claudio & Beltratti, Andrea, 2002. "The effects of the introduction of the euro on the volatility of European stock markets," Journal of Banking & Finance, Elsevier, vol. 26(10), pages 2047-2064, October.

    More about this item

    Keywords

    Asymptotic independence; Extreme value theory; Hill's estimator; Tail index;
    All these keywords.

    JEL classification:

    • C13 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Estimation: General
    • C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes
    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hal:wpaper:hal-00597018. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: CCSD (email available below). General contact details of provider: https://hal.archives-ouvertes.fr/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.