IDEAS home Printed from https://ideas.repec.org/
MyIDEAS: Login to save this article or follow this journal

Testing Covariance Stationarity

  • Zhijie Xiao
  • Luiz Renato Lima

In this paper, we show that the widely used stationarity tests such as the Kwiatkowski Phillips, Schmidt, and Shin (KPSS) test have power close to size in the presence of time-varying unconditional variance. We propose a new test as a complement of the existing tests. Monte Carlo experiments show that the proposed test possesses the following characteristics: (i) in the presence of unit root or a structural change in the mean, the proposed test is as powerful as the KPSS and other tests; (ii) in the presence of a changing variance, the traditional tests perform badly whereas the proposed test has high power comparing to the existing tests; (iii) the proposed test has the same size as traditional stationarity tests under the null hypothesis of stationarity. An application to daily observations of return on U.S. Dollar/Euro exchange rate reveals the existence of instability in the unconditional variance when the entire sample is considered, but stability is found in subsamples.

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.

File URL: http://www.tandfonline.com/doi/abs/10.1080/07474930701639080
Download Restriction: Access to full text is restricted to subscribers.

As the access to this document is restricted, you may want to look for a different version under "Related research" (further below) or search for a different version of it.

Article provided by Taylor & Francis Journals in its journal Econometric Reviews.

Volume (Year): 26 (2007)
Issue (Month): 6 ()
Pages: 643-667

as
in new window

Handle: RePEc:taf:emetrv:v:26:y:2007:i:6:p:643-667
Contact details of provider: Web page: http://www.tandfonline.com/LECR20

Order Information: Web: http://www.tandfonline.com/pricing/journal/LECR20

References listed on IDEAS
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.:

as in new window
  1. Cysne, Rubens Penha, 2006. "An Intra-Household Approach to the Welfare Costs of Inflation (Revised Version, Forthcoming 2006, Estudos Econômicos)," Economics Working Papers (Ensaios Economicos da EPGE) 612, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  2. Benedikt M. Pötscher, 1999. "Lower Risk Bounds and Properties of Confidence Sets For Ill-Posed Estimation Problems with Applications to Spectral Density and Persistence Estimation, Unit Roots,and Estimation of Long Memory Paramet," Vienna Economics Papers 0202, University of Vienna, Department of Economics.
  3. Ploberger, Werner & Kramer, Walter, 1992. "The CUSUM Test with OLS Residuals," Econometrica, Econometric Society, vol. 60(2), pages 271-85, March.
  4. Michael Frommel & Lukas Menkhoff, 2003. "Increasing exchange rate volatility during the recent float," Applied Financial Economics, Taylor & Francis Journals, vol. 13(12), pages 877-883.
  5. Pagan, Adrian R. & Schwert, G. William, 1990. "Testing for covariance stationarity in stock market data," Economics Letters, Elsevier, vol. 33(2), pages 165-170, June.
  6. Flôres Junior, Renato Galvão & Fontoura, Maria Paula & Santos, Rogério Guerra, 2006. "Foreign direct investment spillovers in Portugal: additional lessons from a country study," Economics Working Papers (Ensaios Economicos da EPGE) 618, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  7. Cysne, Rubens Penha, 2006. "Income Inequality in a Job-Search Model With Heterogeneous Discount Factors (Revised Version, Forthcoming 2006, Revista Economia)," Economics Working Papers (Ensaios Economicos da EPGE) 611, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  8. Pagan, A.R. & Schwert, G.W., 1989. "Alternative Models For Conditional Stock Volatility," Papers 89-02, Rochester, Business - General.
  9. Flôres Junior, Renato Galvão & Watanuki, Masakazu, 2006. "Is China a Northern Partner to Mercosul?," Economics Working Papers (Ensaios Economicos da EPGE) 617, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  10. Robert M. De Jong & James Davidson, 2000. "Consistency of Kernel Estimators of Heteroscedastic and Autocorrelated Covariance Matrices," Econometrica, Econometric Society, vol. 68(2), pages 407-424, March.
  11. Moura, Rodrigo Leandro de & Neri, Marcelo Cortes, 2006. "Impactos da Nova Lei de Pisos Salariais Estaduais," Economics Working Papers (Ensaios Economicos da EPGE) 625, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  12. Phillips, Peter C B, 1995. "Fully Modified Least Squares and Vector Autoregression," Econometrica, Econometric Society, vol. 63(5), pages 1023-78, September.
  13. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  14. Monteiro, Paulo Klinger & Page Junior, Frank H., 2006. "Resultados uniformemente seguros e equilíbrio de Nash em jogos compactos," Economics Working Papers (Ensaios Economicos da EPGE) 621, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  15. Denis Kwiatkowski & Peter C.B. Phillips & Peter Schmidt, 1991. "Testing the Null Hypothesis of Stationarity Against the Alternative of a Unit Root: How Sure Are We That Economic Time Series Have a Unit Root?," Cowles Foundation Discussion Papers 979, Cowles Foundation for Research in Economics, Yale University.
  16. Issler, Joao Victor & de Mello Franco-Neto, Afonso Arinos & de Carvalho Guillen, Osmani Teixeira, 2008. "The welfare cost of macroeconomic uncertainty in the post-war period," Economics Letters, Elsevier, vol. 98(2), pages 167-175, February.
  17. repec:att:wimass:9208 is not listed on IDEAS
  18. Neri, Marcelo Cortes & Moura, Rodrigo Leandro de, 2005. "La institucionalidad del salario mínimo en Brasil," Economics Working Papers (Ensaios Economicos da EPGE) 607, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  19. Veloso, Fernando A. (Fernando Augusto) & Ferreira, Pedro Cavalcanti & Pessoa, Samuel de Abreu, 2006. "The Evolution of TFP in Latin America," Economics Working Papers (Ensaios Economicos da EPGE) 620, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  20. Bart Hobijn & Philip Hans Franses & Marius Ooms, 2004. "Generalizations of the KPSS-test for stationarity," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 58(4), pages 483-502.
  21. Luiz Renato Lima & Breno Pinheiro Néri, 2006. "Comparing Value-at-Risk Methodologies," Computing in Economics and Finance 2006 1, Society for Computational Economics.
  22. Jean-Marie Dufour, 1997. "Some Impossibility Theorems in Econometrics with Applications to Structural and Dynamic Models," Econometrica, Econometric Society, vol. 65(6), pages 1365-1388, November.
  23. Araújo, Fabio & Jaime Júnior, Pedro & Fernandes, Marcelo, 2006. "A Stochastic Discount Factor Approach to Asset Pricing Using Panel Data," Economics Working Papers (Ensaios Economicos da EPGE) 628, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  24. Leybourne, S J & McCabe, B P M, 1994. "A Consistent Test for a Unit Root," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 157-66, April.
  25. Loretan, Mico & Phillips, Peter C. B., 1994. "Testing the covariance stationarity of heavy-tailed time series: An overview of the theory with applications to several financial datasets," Journal of Empirical Finance, Elsevier, vol. 1(2), pages 211-248, January.
  26. Rubens Penha Cysne, 2006. "Income Inequality in a Job-Search Model With Heterogeneous Discount Factors," Economia, ANPEC - Associação Nacional dos Centros de Pósgraduação em Economia [Brazilian Association of Graduate Programs in Economics], vol. 7(2), pages 217-224.
  27. Andrews, Donald W K, 1991. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Econometrica, Econometric Society, vol. 59(3), pages 817-58, May.
  28. Monteiro, Paulo Klinger, 2004. "First-Price auction symmetric equlibria with a general distribution," Economics Working Papers (Ensaios Economicos da EPGE) 568, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  29. Robert F. Engle & Jose Gonzalo Rangel, 2005. "The Spline GARCH Model for Unconditional Volatility and its Global Macroeconomic Causes," Working Papers 2005/13, Czech National Bank, Research Department.
  30. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
  31. Faust, Jon, 1996. "Near Observational Equivalence and Theoretical size Problems with Unit Root Tests," Econometric Theory, Cambridge University Press, vol. 12(04), pages 724-731, October.
  32. Whitney K. Newey & Kenneth D. West, 1994. "Automatic Lag Selection in Covariance Matrix Estimation," Review of Economic Studies, Oxford University Press, vol. 61(4), pages 631-653.
  33. Pessoa, Samuel de Abreu, 2006. "Perspectivas de Crescimento no Longo Prazo para o Brasil: Questões em Aberto," Economics Working Papers (Ensaios Economicos da EPGE) 609, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  34. Araújo, Aloísio Pessoa de & Funchal, Bruno, 2006. "How much debtors' punishment?," Economics Working Papers (Ensaios Economicos da EPGE) 615, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  35. Kim, Kiwhan & Schmidt, Peter, 1993. "Unit root tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 59(3), pages 287-300, October.
  36. repec:cup:etheor:v:12:y:1996:i:4:p:724-31 is not listed on IDEAS
  37. Flôres Junior, Renato Galvão & Watanuki, Masakazu, 2006. "Integration Options for Mercosul - An Investigation Using the AMIDA Model," Economics Working Papers (Ensaios Economicos da EPGE) 610, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  38. Jansson, Michael, 2002. "Consistent Covariance Matrix Estimation For Linear Processes," Econometric Theory, Cambridge University Press, vol. 18(06), pages 1449-1459, December.
  39. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation for Research in Economics, Yale University.
  40. Giraitis, Liudas & Kokoszka, Piotr & Leipus, Remigijus & Teyssiere, Gilles, 2003. "Rescaled variance and related tests for long memory in volatility and levels," Journal of Econometrics, Elsevier, vol. 112(2), pages 265-294, February.
  41. Luiz Renato Lima & Zhijie Xiao, 2010. "Is there long memory in financial time series?," Applied Financial Economics, Taylor & Francis Journals, vol. 20(6), pages 487-500.
  42. Svaiter, Benar Fux & Monteiro, Paulo Klinger & Page Junior, Frank H., 2006. "Exclusão e multidimensionalidade de tipos em leilões ótimos," Economics Working Papers (Ensaios Economicos da EPGE) 623, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
Full references (including those not matched with items on IDEAS)

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

When requesting a correction, please mention this item's handle: RePEc:taf:emetrv:v:26:y:2007:i:6:p:643-667. See general information about how to correct material in RePEc.

For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: ()

If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

If references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.

If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.

Please note that corrections may take a couple of weeks to filter through the various RePEc services.

This information is provided to you by IDEAS at the Research Division of the Federal Reserve Bank of St. Louis using RePEc data.