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Approximate Whittle Analysis of Fractional Cointegration and the Stock Market Synchronization Issue

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  • Gilles De Truchis

    ()
    (AMSE - Aix-Marseille School of Economics - Aix-Marseille Univ. - Centre national de la recherche scientifique (CNRS) - Ecole des Hautes Etudes en Sciences Sociales (EHESS) - Ecole Centrale Marseille (ECM))

Abstract

I consider a bivariate stationary fractional cointegration system and I propose a quasi-maximum likelihood estimator based on the Whittle analysis of the joint spectral density of the regressor and errors to estimate jointly all parameters of interest of the model: the long run coefficient and the long memory parameters of the regressor and errors. I lead a Monte Carlo experiment which reveals the good finite sample properties of this estimator, even when the parameter space is extended to the non-stationary regions. An application to the stock market synchronization is proposed to illustrate the empirical relevance of this estimator.

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Paper provided by HAL in its series Working Papers with number halshs-00793220.

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Date of creation: Sep 2012
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Handle: RePEc:hal:wpaper:halshs-00793220

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Keywords: Fractional cointegration; Frequency domain; Full-band estimator; Monte-Carlo simulation; Parametric estimation;

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  1. Donald W. K. Andrews & Patrik Guggenberger, 2003. "A Bias--Reduced Log--Periodogram Regression Estimator for the Long--Memory Parameter," Econometrica, Econometric Society, vol. 71(2), pages 675-712, March.
  2. Cheung, Yin-Wong & Lai, Kon S, 1993. "A Fractional Cointegration Analysis of Purchasing Power Parity," Journal of Business & Economic Statistics, American Statistical Association, vol. 11(1), pages 103-12, January.
  3. Javier Hualde & A Robinson, 2006. "Root-N-Consistent Estimation Of Weakfractional Cointegration," STICERD - Econometrics Paper Series /06/499, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  4. D Marinucci & Peter M Robinson, 2001. "Semiparametric Fractional Cointegration Analysis," STICERD - Econometrics Paper Series /2001/420, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
  5. Christensen, Bent Jesper & Nielsen, Morten Orregaard, 2006. "Asymptotic normality of narrow-band least squares in the stationary fractional cointegration model and volatility forecasting," Journal of Econometrics, Elsevier, vol. 133(1), pages 343-371, July.
  6. Egert, Balazs & Kocenda, Evzen, 2007. "Interdependence between Eastern and Western European stock markets: Evidence from intraday data," Economic Systems, Elsevier, vol. 31(2), pages 184-203, June.
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  8. Peter M. Robinson & Carlos Velasco, 2000. "Whittle pseudo-maximum likelihood estimation for nonstationary time series," LSE Research Online Documents on Economics 2273, London School of Economics and Political Science, LSE Library.
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  13. Gilmore, Claire G. & McManus, Ginette M., 2002. "International portfolio diversification: US and Central European equity markets," Emerging Markets Review, Elsevier, vol. 3(1), pages 69-83, March.
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  15. Nielsen, Morten Orregaard, 2007. "Local Whittle Analysis of Stationary Fractional Cointegration and the ImpliedRealized Volatility Relation," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 427-446, October.
  16. Morten Ørregaard Nielsen & Per Frederiksen, 2010. "Fully Modified Narrow-Band Least Squares Estimation of Weak Fractional Cointegration," CREATES Research Papers 2010-31, School of Economics and Management, University of Aarhus.
  17. Robinson, P.M., 2005. "The distance between rival nonstationary fractional processes," Journal of Econometrics, Elsevier, vol. 128(2), pages 283-300, October.
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  21. Balázs Égert & Evžen Kočenda, 2011. "Time-varying synchronization of European stock markets," Empirical Economics, Springer, vol. 40(2), pages 393-407, April.
  22. Cappiello, Lorenzo & Hördahl, Peter & Kadareja, Arjan & Manganelli, Simone, 2006. "The impact of the euro on financial markets," Working Paper Series 0598, European Central Bank.
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  24. Johansen, SØren, 2008. "A Representation Theory For A Class Of Vector Autoregressive Models For Fractional Processes," Econometric Theory, Cambridge University Press, vol. 24(03), pages 651-676, June.
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Cited by:
  1. de Truchis, Gilles & Keddad, Benjamin, 2013. "Southeast Asian monetary integration: New evidences from fractional cointegration of real exchange rates," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 26(C), pages 394-412.
  2. Gilles de Truchis & Benjamin Keddad, 2014. "Analyzing Financial Integration in East Asia through Fractional Cointegration in Volatilities," Working Papers 2014-382, Department of Research, Ipag Business School.

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