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Fixed Bandwidth Asymptotics in Single Equation Models of Cointegration with an Application to Money Demand

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Author Info
Helle Bunzel

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Abstract

This paper provides a new approach to testing cointegration parameters in a single-equation cointegration environment. The novelty is in improving over the well-known heteroscedasticity and autocorrelation consistent (HAC) robust standard errors using fixed bandwidth (fixed-b) asymptotic theory and adapting it to the cointegration environment. It is shown that the standard tests still have asymptotic distributions free of serial correlation nuisance parameters regardless of the bandwidth or kernel used, even if the regressors in the cointegration relationship are endogenous. Using asymptotic power and finite sample size simulation experiments, specific practical and user-friendly recommendations regarding kernel and bandwidth choices are made. Finite sample simulations comparing the size and power of the tests using the fixed-b asymptotics to some of the currently popular tests are performed. These simulations confirm that the well-known size distortion of the standard tests can be greatly reduced. Alternatively, one can obtain greater power with much the same level of size distortion, depending on the choice of kernel and bandwidth. Finally, the newly developed tests are employed to investigate the standard money-demand relationship for US data

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Paper provided by Econometric Society in its series Econometric Society 2004 North American Summer Meetings with number 219.

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Date of creation: 11 Aug 2004
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Handle: RePEc:ecm:nasm04:219

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Keywords: Cointegration Fixed Bandwidth Asymptotics Money Demand

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Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models

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  4. Peter C.B. Phillips & Mico Loretan, 1989. "Estimating Long Run Economic Equilibria," Cowles Foundation Discussion Papers 928, Cowles Foundation, Yale University. [Downloadable!]
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  5. Johansen, Soren & Juselius, Katarina, 1990. "Maximum Likelihood Estimation and Inference on Cointegration--With Applications to the Demand for Money," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 52(2), pages 169-210, May.
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  7. Robinson, P M, 1991. "Automatic Frequency Domain Inference on Semiparametric and Nonparametric Models," Econometrica, Econometric Society, vol. 59(5), pages 1329-63, September. [Downloadable!] (restricted)
  8. Stock, James H & Watson, Mark W, 1993. "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, Econometric Society, vol. 61(4), pages 783-820, July. [Downloadable!] (restricted)
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  9. Metin, Kivilcim, 1998. "The Relationship between Inflation and the Budget Deficit in Turkey," Journal of Business & Economic Statistics, American Statistical Association, vol. 16(4), pages 412-22, October.
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  13. Eugene Canjels & Mark W. Watson, 1997. "Estimating Deterministic Trends In The Presence Of Serially Correlated Errors," The Review of Economics and Statistics, MIT Press, vol. 79(2), pages 184-200, May. [Downloadable!] (restricted)
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  15. Phillips, Peter C B & Hansen, Bruce E, 1990. "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, Blackwell Publishing, vol. 57(1), pages 99-125, January. [Downloadable!] (restricted)
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