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Published in: Journal of Quantitative Economics 2/2019

19-03-2019 | Original Article

A Recursive Monte Carlo Study of Structural-Break Sensitivity of Adjustment Coefficients in Cointegrated VAR Systems

Author: Takamitsu Kurita

Published in: Journal of Quantitative Economics | Issue 2/2019

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Abstract

This paper studies the sensitivity of adjustment coefficients to various structural breaks in a cointegrated vector autoregressive system. A Monte Carlo simulation study is conducted in a recursive manner to examine fluctuations of finite-sample estimates of the coefficients. The study reveals the wide-ranging influences of breaks on the estimates, which can give rise to inference for spurious time-varying adjustment coefficients, although the underlying true coefficients are stable and time-invariant. It is thus advisable to be cautious about seemingly time-varying adjustment coefficients when analyzing time series data subject to structural breaks.

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Literature
go back to reference Anderson, T.W. 1951. Estimating linear restrictions on regression coefficients for multivariate normal distributions. Annals of Mathematical Statistics 22: 327–351.CrossRef Anderson, T.W. 1951. Estimating linear restrictions on regression coefficients for multivariate normal distributions. Annals of Mathematical Statistics 22: 327–351.CrossRef
go back to reference Andrade, P., C. Bruneau, and S. Gregoir. 2005. Testing for the cointegration rank when some cointegrating directions are changing. Journal of Econometrics 124: 269–310.CrossRef Andrade, P., C. Bruneau, and S. Gregoir. 2005. Testing for the cointegration rank when some cointegrating directions are changing. Journal of Econometrics 124: 269–310.CrossRef
go back to reference Angrick, S., and N. Nemoto. 2017. Central banking below zero: the implementation of negative interest rates in Europe and Japan. Asia Europe Journal 15: 417–443.CrossRef Angrick, S., and N. Nemoto. 2017. Central banking below zero: the implementation of negative interest rates in Europe and Japan. Asia Europe Journal 15: 417–443.CrossRef
go back to reference Bårdsen, G., O. Eitrheim, E.S. Jansen, and R. Nymoen. 2005. The Econometrics of Macroeconomic Modelling. Oxford: Oxford University Press. Bårdsen, G., O. Eitrheim, E.S. Jansen, and R. Nymoen. 2005. The Econometrics of Macroeconomic Modelling. Oxford: Oxford University Press.
go back to reference Brouwer, G.D., and N.R. Ericsson. 1998. Modeling inflation in Australia. Journal of Business & Economic Statistics 16: 433–449. Brouwer, G.D., and N.R. Ericsson. 1998. Modeling inflation in Australia. Journal of Business & Economic Statistics 16: 433–449.
go back to reference Burke, S.P., and J. Hunter. 2011. Long-run equilibrium price targetting. Quantitative and Qualitative Analysis in Social Sciences 5: 26–36. Burke, S.P., and J. Hunter. 2011. Long-run equilibrium price targetting. Quantitative and Qualitative Analysis in Social Sciences 5: 26–36.
go back to reference Choo, H.G., and T. Kurita. 2011. An empirical investigation of monetary interaction in the Korean economy. International Review of Economics & Finance 20: 267–280.CrossRef Choo, H.G., and T. Kurita. 2011. An empirical investigation of monetary interaction in the Korean economy. International Review of Economics & Finance 20: 267–280.CrossRef
go back to reference Clements, M.P., and D.F. Hendry. 1999. Forecasting Non-Stationary Economic Time Series. Cambridge: MIT press. Clements, M.P., and D.F. Hendry. 1999. Forecasting Non-Stationary Economic Time Series. Cambridge: MIT press.
go back to reference Doornik, J.A. 2005. The role of simulation in econometrics. In Palgrave Handbook of Econometrics, vol. 1, ed. T.C. Mills, and K. Patterson, 787–811. Basingstoke: Palgrave Macmillan. Doornik, J.A. 2005. The role of simulation in econometrics. In Palgrave Handbook of Econometrics, vol. 1, ed. T.C. Mills, and K. Patterson, 787–811. Basingstoke: Palgrave Macmillan.
go back to reference Doornik, J.A. 2007. An Object-Oriented Matrix Programming Language—Ox \(^{TM}\)5. London: Timberlake Consultants Ltd. Doornik, J.A. 2007. An Object-Oriented Matrix Programming Language—Ox \(^{TM}\)5. London: Timberlake Consultants Ltd.
go back to reference Doornik, J.A., and D.F. Hendry. 2007a. Modelling Dynamic Systems—PcGive \(^{TM}\)12, vol. 2. London: Timberlake Consultants Ltd. Doornik, J.A., and D.F. Hendry. 2007a. Modelling Dynamic Systems—PcGive \(^{TM}\)12, vol. 2. London: Timberlake Consultants Ltd.
go back to reference Doornik, J.A., and D.F. Hendry. 2007b. Interactive Monte Carlo Experimentation in Econometrics using PcNaive \( ^{TM}\)4. London: Timberlake Consultants Ltd. Doornik, J.A., and D.F. Hendry. 2007b. Interactive Monte Carlo Experimentation in Econometrics using PcNaive \( ^{TM}\)4. London: Timberlake Consultants Ltd.
go back to reference Doornik, J.A., D.F. Hendry, and B. Nielsen. 1998. Inference in cointegrating models: UK M1 revisited. Journal of Economic Surveys 12: 533–572.CrossRef Doornik, J.A., D.F. Hendry, and B. Nielsen. 1998. Inference in cointegrating models: UK M1 revisited. Journal of Economic Surveys 12: 533–572.CrossRef
go back to reference Hansen, P.R. 2003. Structural changes in the cointegrated vector autoregressive model. Journal of Econometrics 114: 261–295.CrossRef Hansen, P.R. 2003. Structural changes in the cointegrated vector autoregressive model. Journal of Econometrics 114: 261–295.CrossRef
go back to reference Hansen, H., and S. Johansen. 1999. Some tests for parameter constancy in cointegrated VAR-models. Econometrics Journal 2: 306–333.CrossRef Hansen, H., and S. Johansen. 1999. Some tests for parameter constancy in cointegrated VAR-models. Econometrics Journal 2: 306–333.CrossRef
go back to reference Hendry, D.F. 1984. Monte Carlo experimentation in econometrics. In Handbook of Econometrics, vol. 2, ed. Z. Griliches, and M.D. Intriligator, 937–976. Amsterdam: Elsevier Science Publishers BV.CrossRef Hendry, D.F. 1984. Monte Carlo experimentation in econometrics. In Handbook of Econometrics, vol. 2, ed. Z. Griliches, and M.D. Intriligator, 937–976. Amsterdam: Elsevier Science Publishers BV.CrossRef
go back to reference Hendry, D.F. 2000. On detectable and non-detectable structural change. Structural Change and Economic Dynamics 11: 45–65.CrossRef Hendry, D.F. 2000. On detectable and non-detectable structural change. Structural Change and Economic Dynamics 11: 45–65.CrossRef
go back to reference Hendry, D.F., and J. Doornik. 1997. The implications for econometric modelling of forecast failure. Scottish Journal of Political Economy 44: 437–461.CrossRef Hendry, D.F., and J. Doornik. 1997. The implications for econometric modelling of forecast failure. Scottish Journal of Political Economy 44: 437–461.CrossRef
go back to reference Hendry, D.F., and B. Nielsen. 2007. Econometric Modeling—A Likelihood Approach. Princeton: Princeton University Press. Hendry, D.F., and B. Nielsen. 2007. Econometric Modeling—A Likelihood Approach. Princeton: Princeton University Press.
go back to reference Hendry, D.F., and M. Massmann. 2007. Co-breaking: Recent advances and a synopsis of the literature. Journal of Business and Economic Statistics 25: 33–51.CrossRef Hendry, D.F., and M. Massmann. 2007. Co-breaking: Recent advances and a synopsis of the literature. Journal of Business and Economic Statistics 25: 33–51.CrossRef
go back to reference Hoover, K.D., S. Johansen, and K. Juselius. 2008. Allowing the data to speak freely: The macroeconometrics of the cointegrated vector autoregression. American Economic Review 98: 251–255.CrossRef Hoover, K.D., S. Johansen, and K. Juselius. 2008. Allowing the data to speak freely: The macroeconometrics of the cointegrated vector autoregression. American Economic Review 98: 251–255.CrossRef
go back to reference Hunter, J., S.P. Burke, and A. Canepa. 2017. Multivariate Modelling of Non-stationary Economic Time Series. Basingstoke: Palgrave Macmillan.CrossRef Hunter, J., S.P. Burke, and A. Canepa. 2017. Multivariate Modelling of Non-stationary Economic Time Series. Basingstoke: Palgrave Macmillan.CrossRef
go back to reference Johansen, S. 1988. Statistical analysis of cointegration vectors. Journal of Economic Dynamics and Control 12: 231–254.CrossRef Johansen, S. 1988. Statistical analysis of cointegration vectors. Journal of Economic Dynamics and Control 12: 231–254.CrossRef
go back to reference Johansen, S. 1996. Likelihood-Based Inference in Cointegrated Vector Auto-Regressive Models, 2nd printing. Oxford: Oxford University Press. Johansen, S. 1996. Likelihood-Based Inference in Cointegrated Vector Auto-Regressive Models, 2nd printing. Oxford: Oxford University Press.
go back to reference Johansen, S., R. Mosconi, and B. Nielsen. 2000. Cointegration analysis in the presence of structural breaks in the deterministic trend. Econometrics Journal 3: 216–249.CrossRef Johansen, S., R. Mosconi, and B. Nielsen. 2000. Cointegration analysis in the presence of structural breaks in the deterministic trend. Econometrics Journal 3: 216–249.CrossRef
go back to reference Juselius, K. 1998. A structured VAR for Denmark under changing monetary regimes. Journal of Business and Economic Statistics 16: 400–411. Juselius, K. 1998. A structured VAR for Denmark under changing monetary regimes. Journal of Business and Economic Statistics 16: 400–411.
go back to reference Juselius, K. 2006. The Cointegrated VAR Model - Methodology and Applications. Oxford: Oxford University Press. Juselius, K. 2006. The Cointegrated VAR Model - Methodology and Applications. Oxford: Oxford University Press.
go back to reference Nielsen, H.B. 2004. Cointegration analysis in the presence of outliers. Econometrics Journal 7: 249–271.CrossRef Nielsen, H.B. 2004. Cointegration analysis in the presence of outliers. Econometrics Journal 7: 249–271.CrossRef
go back to reference Nielsen, H.B. 2008. Influential observations in cointegrated VAR models: Danish money demand 1973–2003. Econometrics Journal 11: 39–57.CrossRef Nielsen, H.B. 2008. Influential observations in cointegrated VAR models: Danish money demand 1973–2003. Econometrics Journal 11: 39–57.CrossRef
go back to reference Perron, P. 1989. The great crash, the oil price shock, and the unit root hypothesis. Econometrica 57: 1361–1401.CrossRef Perron, P. 1989. The great crash, the oil price shock, and the unit root hypothesis. Econometrica 57: 1361–1401.CrossRef
go back to reference Perron, P. 1990. Testing for a unit root in a time series with a changing mean. Journal of Business and Economic Statistics 8: 153–162. Perron, P. 1990. Testing for a unit root in a time series with a changing mean. Journal of Business and Economic Statistics 8: 153–162.
go back to reference Seo, B. 1998. Tests for structural change in cointegrated systems. Econometric Theory 14: 222–259.CrossRef Seo, B. 1998. Tests for structural change in cointegrated systems. Econometric Theory 14: 222–259.CrossRef
go back to reference Teräsvirta, T., D. Tjøstheim, and C.W.J. Granger. 2010. Modelling nonlinear economic time series. Oxford: Oxford University Press.CrossRef Teräsvirta, T., D. Tjøstheim, and C.W.J. Granger. 2010. Modelling nonlinear economic time series. Oxford: Oxford University Press.CrossRef
Metadata
Title
A Recursive Monte Carlo Study of Structural-Break Sensitivity of Adjustment Coefficients in Cointegrated VAR Systems
Author
Takamitsu Kurita
Publication date
19-03-2019
Publisher
Springer India
Published in
Journal of Quantitative Economics / Issue 2/2019
Print ISSN: 0971-1554
Electronic ISSN: 2364-1045
DOI
https://doi.org/10.1007/s40953-019-00162-2

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