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Testing covariance stationarity

Listed author(s):
  • Xiao, Zhijie
  • Lima, Luiz Renato Regis de Oliveira

In this paper, we show that the widely used stationarity tests such as the 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 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 US 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.

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Paper provided by FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil) in its series Economics Working Papers (Ensaios Economicos da EPGE) with number 632.

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Date of creation: 01 Nov 2006
Handle: RePEc:fgv:epgewp:632
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  1. João Victor Issler & Afonso Arinos de Mello Franco & Osmani Teixeira de Carvalho Guillén, 2006. "The Welfare Cost of Macroeconomic Uncertainty in the Post-War Period," IBMEC RJ Economics Discussion Papers 2006-02, Economics Research Group, IBMEC Business School - Rio de Janeiro.
  2. Peter C.B. Phillips & Pierre Perron, 1986. "Testing for a Unit Root in Time Series Regression," Cowles Foundation Discussion Papers 795R, Cowles Foundation for Research in Economics, Yale University, revised Sep 1987.
  3. Jansson, Michael, 2002. "Consistent Covariance Matrix Estimation For Linear Processes," Econometric Theory, Cambridge University Press, vol. 18(06), pages 1449-1459, December.
  4. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "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?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
  5. Araújo, Fabio & Issler, João Victor & 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).
  6. 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).
  7. Ploberger, Werner & Kramer, Walter, 1992. "The CUSUM Test with OLS Residuals," Econometrica, Econometric Society, vol. 60(2), pages 271-285, March.
  8. Lima, Luiz Renato Regis de Oliveira & Neri, Breno de Andrade Pinheiro, 2006. "Comparing value-at-risk methodologies," Economics Working Papers (Ensaios Economicos da EPGE) 629, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  9. Peter C.B. Phillips, 1993. "Fully Modified Least Squares and Vector Autoregression," Cowles Foundation Discussion Papers 1047, Cowles Foundation for Research in Economics, Yale University.
  10. Donald W.K. Andrews, 1988. "Heteroskedasticity and Autocorrelation Consistent Covariance Matrix Estimation," Cowles Foundation Discussion Papers 877R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  11. 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.
  12. Flôres Junior, Renato Galvão & Watanuki, Masakazu, 2006. "Integration options for mercosul - an investigation Uusing the AMIDA Model," Economics Working Papers (Ensaios Economicos da EPGE) 610, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
  13. 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.
  14. Pagan, A.R. & Schwert, G.W., 1989. "Alternative Models For Conditional Stock Volatility," Papers 89-02, Rochester, Business - General.
  15. Tim Bollerslev, 1986. "Generalized autoregressive conditional heteroskedasticity," EERI Research Paper Series EERI RP 1986/01, Economics and Econometrics Research Institute (EERI), Brussels.
  16. 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).
  17. 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.
  18. 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.
  19. de Jong, R.M. & Davidson, J., 1996. "Consistency of Kernel Estimators of Heteroscedastic and Autocorrelated Covariance Matrices," Discussion Paper 1996-52, Tilburg University, Center for Economic Research.
  20. Svaiter, Benar Fux & Monteiro, P. K. & 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).
  21. 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).
  22. Benedikt M. Poetscher, 2002. "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 Parame," Econometrica, Econometric Society, vol. 70(3), pages 1035-1065, May.
  23. Peter C.B. Phillips, 1985. "Time Series Regression with a Unit Root," Cowles Foundation Discussion Papers 740R, Cowles Foundation for Research in Economics, Yale University, revised Feb 1986.
  24. 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.
  25. 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).
  26. 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.
  27. 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).
  28. Monteiro, P. K., 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. 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.
  30. 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.
  31. Veloso, Fernando A. & 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).
  32. Aloisio Araujo & Bruno Funchal, 2008. "How much debtors’ punishment?," Fucape Working Papers 01, Fucape Business School.
  33. 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.
  34. repec:cup:etheor:v:12:y:1996:i:4:p:724-31 is not listed on IDEAS
  35. Peter C.B. Phillips & Victor Solo, 1989. "Asymptotics for Linear Processes," Cowles Foundation Discussion Papers 932, Cowles Foundation for Research in Economics, Yale University.
  36. 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).
  37. 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.
  38. Monteiro, P. K. & 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).
  39. Kim, Kiwhan & Schmidt, Peter, 1993. "Unit root tests with conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 59(3), pages 287-300, October.
  40. 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).
  41. 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.
  42. 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 157-166, April.
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