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Optimal Time Interval Selection in Long-Run Correlation Estimation

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  • Pedro H. Albuquerque

    (Texas A&M International University)

Abstract

This paper presents an asymptotically optimal time interval selection criterion for the long-run correlation block estimator (Bartlett kernel estimator) based on the Newey-West and Andrews-Monahan approaches. An alignment criterion that enhances finite-sample performance is also proposed. The procedure offers an optimal yet unobtrusive alternative to the common practice in finance and economics of arbitrarily choosing time intervals or lags in correlation studies. A Monte Carlo experiment using parameters derived from Dow Jones returns data confirms that the procedures are MSE-superior to typical alternatives such as aggregation over arbitrary time intervals, parametric VAR estimation, and Newey-West covariance matrix estimation with automatic lag selection.

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File URL: http://128.118.178.162/eps/em/papers/0511/0511017.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Econometrics with number 0511017.

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Length: 23 pages
Date of creation: 23 Nov 2005
Date of revision: 27 Nov 2005
Handle: RePEc:wpa:wuwpem:0511017

Note: Type of Document - pdf; pages: 23
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Web page: http://128.118.178.162

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Keywords: Long-Run Correlation; Bartlett; Lag Selection; Time Interval; Alignment; Newey-West;

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References

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  1. Cochrane, John H, 1988. "How Big Is the Random Walk in GNP?," Journal of Political Economy, University of Chicago Press, vol. 96(5), pages 893-920, October.
  2. John Y. Campbell & John Ammer, 1991. "What Moves the Stock and Bond Markets? A Variance Decomposition for Long-Term Asset Returns," NBER Working Papers 3760, National Bureau of Economic Research, Inc.
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  4. Engle, Robert F & Granger, Clive W J, 1987. "Co-integration and Error Correction: Representation, Estimation, and Testing," Econometrica, Econometric Society, vol. 55(2), pages 251-76, March.
  5. Fisher, Mark E & Seater, John J, 1993. "Long-Run Neutrality and Superneutrality in an ARIMA Framework," American Economic Review, American Economic Association, vol. 83(3), pages 402-15, June.
  6. Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
  7. McCallum, Bennett T., 1984. "On low-frequency estimates of long-run relationships in macroeconomics," Journal of Monetary Economics, Elsevier, vol. 14(1), pages 3-14, July.
  8. Newey, Whitney K & West, Kenneth D, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Wiley Blackwell, vol. 61(4), pages 631-53, October.
  9. Cochrane, John H. & Sbordone, Argia M., 1988. "Multivariate estimates of the permanent components of GNP and stock prices," Journal of Economic Dynamics and Control, Elsevier, vol. 12(2-3), pages 255-296.
  10. Donald W.K. Andrews & Christopher J. Monahan, 1990. "An Improved Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimator," Cowles Foundation Discussion Papers 942, Cowles Foundation for Research in Economics, Yale University.
  11. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  12. Granger, C.W.J. & Watson, Mark W., 1984. "Time series and spectral methods in econometrics," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 17, pages 979-1022 Elsevier.
  13. Kristin J. Forbes & Roberto Rigobon, 2002. "No Contagion, Only Interdependence: Measuring Stock Market Comovements," Journal of Finance, American Finance Association, vol. 57(5), pages 2223-2261, October.
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Cited by:
  1. Nektarios Aslanidis & Christos S. Savva, 2011. "Are There Still Portfolio Diversification Benefits In Eastern Europe? Aggregate Versus Sectoral Stock Market Data," Manchester School, University of Manchester, vol. 79(6), pages 1323-1352, December.
  2. Alagidede, Paul & Panagiotidis, Theodore & Zhang, Xu, 2010. "Why a diversified portfolio should include African assets," Stirling Economics Discussion Papers 2010-15, University of Stirling, Division of Economics.

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