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Fractional Cointegration In StochasticVolatility Models

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  • Afonso Gonçalves da Silva
  • Peter M Robinson

Abstract

Asset returns are frequently assumed to be determined by one or more commonfactors. We consider a bivariate factor model, where the unobservable commonfactor and idiosyncratic errors are stationary and serially uncorrelated, but havestrong dependence in higher moments. Stochastic volatility models for the latentvariables are employed, in view of their direct application to asset pricing models.Assuming the underlying persistence is higher in the factor than in the errors, afractional cointegrating relationship can be recovered by suitable transformation ofthe data. We propose a narrow band semiparametric estimate of the factorloadings, which is shown to be consistent with a rate of convergence, and its finitesample properties are investigated in a Monte Carlo experiment.

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Paper provided by Suntory and Toyota International Centres for Economics and Related Disciplines, LSE in its series STICERD - Econometrics Paper Series with number /2007/519.

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Date of creation: May 2007
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Handle: RePEc:cep:stiecm:/2007/519

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Web page: http://sticerd.lse.ac.uk/_new/publications/default.asp

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Keywords: Fractional cointegration; stochastic volatility; narrow band leastsquares; semiparametric analysis.;

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  1. Clifford Hurvich & Eric Moulines & Philippe Soulier, 2004. "Estimating Long Memory in Volatility," Econometrics 0412006, EconWPA.
  2. Javier Hualde & Peter Robinson, . "Semiparametric Estimation of Fractional Cointegration," Faculty Working Papers 07/06, School of Economics and Business Administration, University of Navarra.
  3. Brunetti, Celso & Gilbert, Christopher L., 2000. "Bivariate FIGARCH and fractional cointegration," Journal of Empirical Finance, Elsevier, vol. 7(5), pages 509-530, December.
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Cited by:
  1. Afonso Goncalves da Silva & Peter Robinson, 2008. "Finite Sample Performance in Cointegration Analysis of Nonlinear Time Series with Long Memory," Econometric Reviews, Taylor & Francis Journals, vol. 27(1-3), pages 268-297.
  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.
  3. Gilles de Truchis & Benjamin Keddad, 2014. "On the risk comovements between the crude oil market and the U.S. dollar exchange rates," Working Papers 2014-383, Department of Research, Ipag Business School.

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