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Extreme Volatilities, Financial Crises and L-moment Estimations of Tail-indexes

Author

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  • Bertrand B. Maillet

    (ABN AMRO Advisors, Variances and University of Paris-1 (CES/CNRS and EIF))

  • Jean-Philippe R. M�decin

    (Paris School of Economics, University of Paris-1 and Variances)

Abstract

Following Bali and Weinbaum (2005) and Maillet et al. (2010), we present several estimates of volatilities computed with high- and low frequency data and complement their results using additional measures of risk and several alternative methods for Tail-index estimation. The aim here is to confirm previous results regarding the slope of the tail of various risk measure distributions, in order to define the high watermarks of market risks. We also produce synthetic general results concerning the method of estimation of the Tail-indexes related to expressions of the L-moments. Based on estimates of Tail-indexes, retrieved from the high frequency 30� sampled CAC40 French stock Index series from the period 1997-2009, using Non-parametric Generalized Hill, Maximum Likelihood and various kinds of L-moment Methods for the estimation of both a Generalized Extreme Value density and a Generalized Pareto Distribution, we confirm that a heavy-tail density specification of the Log-volatility is not necessary.

Suggested Citation

  • Bertrand B. Maillet & Jean-Philippe R. M�decin, 2010. "Extreme Volatilities, Financial Crises and L-moment Estimations of Tail-indexes," Working Papers 2010_10, Department of Economics, University of Venice "Ca' Foscari".
    • Handle: RePEc:ven:wpaper:2010_10
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    Keywords

    Financial Crisis; Realized Volatility; Range-based Volatility; Extreme Value Distributions; Tail-index; L-moments; High Frequency Data.;
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    JEL classification:

    • G10 - Financial Economics - - General Financial Markets - - - General (includes Measurement and Data)
    • G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading

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