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Testing for Changes in the Unconditional Variance of Financial Time Series

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Author Info
Andreu Sansó ()
Vicent Aragó
Josep Lluís Carrion

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Abstract

Inclan and Tiao (1994) proposed a test for the detection of changes of the unconditional variance which has been used in financial time series analysis. In this article we show some serious drawbacks for using this test with this type of data. Specifically, it su.ers important size distortions for leptokurtic and platykurtic innovations. Moreover, the size distortions are more extreme for heteroskedastic conditional variance processes. These results invalidate in practice the use of the test for financial time series. To overcome these problems we propose new tests that explicitly consider the fourth moment properties of the disturbances and the conditional heteroskedasticity. Monte Carlo experiments show the good performance of these tests. The application of the new tests to the same series in Aggarwal, Inclan and Leal (1999) reveal that the changes in variance they detect are spurious.

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Publisher Info
Paper provided by Universitat de les Illes Balears, Departament d'Economía Aplicada in its series DEA Working Papers with number 5.

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Date of creation: Nov 2003
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Handle: RePEc:ubi:deawps:5

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Related research
Keywords: ICSS; Changes in Variance; Kurtosis; ARCH; IGARCH.;

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions
G19 - Financial Economics - - General Financial Markets - - - Other

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Phillips, P.C.B., 1986. "Testing for a Unit Root in Time Series Regression," Cahiers de recherche 8633, Universite de Montreal, Departement de sciences economiques.
    Other versions:
  2. Zhuanxin Ding & Clive W.J. Granger, 1994. "Modeling Volatility Persistence of Speculative Returns: A New Approach," University of California at San Diego, Economics Working Paper Series 94-05, Department of Economics, UC San Diego.
    Other versions:
  3. Bera, Anil K & Higgins, Matthew L, 1993. " ARCH Models: Properties, Estimation and Testing," Journal of Economic Surveys, Blackwell Publishing, vol. 7(4), pages 305-66, December.
  4. Elena Andreou & Eric Ghysels, 2002. "Detecting multiple breaks in financial market volatility dynamics," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(5), pages 579-600. [Downloadable!]
    Other versions:
  5. Perron, Pierre, 1990. "Testing for a Unit Root in a Time Series with a Changing Mean," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(2), pages 153-62, April.
    Other versions:
  6. Wouter J. den Haan & Andrew Levin, 1996. "A Practitioner's Guide to Robust Covariance Matrix Estimation," University of California at San Diego, Economics Working Paper Series 96-17, Department of Economics, UC San Diego. [Downloadable!]
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  7. Ling, Shiqing & McAleer, Michael, 2002. "Stationarity and the existence of moments of a family of GARCH processes," Journal of Econometrics, Elsevier, vol. 106(1), pages 109-117, January. [Downloadable!] (restricted)
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  8. Aggarwal, Reena & Inclan, Carla & Leal, Ricardo, 1999. "Volatility in Emerging Stock Markets," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(01), pages 33-55, March. [Downloadable!]
  9. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Blackwell Publishing, vol. 61(4), pages 631-53, October. [Downloadable!] (restricted)
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  10. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April. [Downloadable!] (restricted)
  11. Huang, Bwo-Nung & Yang, Chin-Wei, 2001. "The Impact of Settlement Time on the Volatility of Stock Market Revisited: An Application of the Iterated Cumulative Sums of Squares Detection Method for Changes of Variance," Applied Economics Letters, Taylor and Francis Journals, vol. 8(10), pages 665-68, October. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Gregory James & Michail Karoglou, 2009. "Financial Liberalisation and Stock Market Volatility: The Case of Indonesia," Discussion Paper Series 2009_11, Department of Economics, Loughborough University, revised Sep 2009. [Downloadable!]
  2. Ai Deng & Pierre Perron, 2005. "The Limit Distribution of the CUSUM of Square Test Under Genreal MIxing Conditions," Boston University - Department of Economics - Working Papers Series WP2005-046, Boston University - Department of Economics. [Downloadable!]
  3. Ai Deng & Pierre Perron, 2006. "The Limit Distribution of the CUSUM of Squares Test Under General Mixing Conditions," Boston University - Department of Economics - Working Papers Series wp2006-004, Boston University - Department of Economics. [Downloadable!]
    Other versions:
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