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Threshold cointegration

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  • Nathan S. Balke
  • Thomas B. Fomby

Abstract

In this paper, the authors consider a model in which there is discontinuous adjustment to a long-run equilibrium. Here, the equilibrium error follows a threshold autoregression that is mean-reverting outside a given range and has a unit root inside the range. The authors suggest a two-step approach for examining threshold cointegration. They find that standard time series methods developed for testing for cointegration in the linear case work reasonably well when threshold cointegration is present. The authors then consider a 'sup-Wald' test of linearity that takes the double-threshold model as the alternative hypothesis. Copyright 1997 by Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association.

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Paper provided by Federal Reserve Bank of Dallas in its series Research Paper with number 9209.

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Date of creation: 1992
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Handle: RePEc:fip:feddrp:9209

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Keywords: Discount ; Federal funds market (United States);

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  1. Campbell, John & Shiller, Robert, 1987. "Cointegration and Tests of Present Value Models," Scholarly Articles 3122490, Harvard University Department of Economics.
  2. Sheshinski, Eytan & Weiss, Yoram, 1983. "Optimum Pricing Policy under Stochastic Inflation," Review of Economic Studies, Wiley Blackwell, vol. 50(3), pages 513-29, July.
  3. Corbae, Dean & Ouliaris, Sam, 1988. "Cointegration and Tests of Purchasing Power Parity," The Review of Economics and Statistics, MIT Press, vol. 70(3), pages 508-11, August.
  4. Johansen, Soren, 1991. "Estimation and Hypothesis Testing of Cointegration Vectors in Gaussian Vector Autoregressive Models," Econometrica, Econometric Society, vol. 59(6), pages 1551-80, November.
  5. Phillips, P C B, 1987. "Time Series Regression with a Unit Root," Econometrica, Econometric Society, vol. 55(2), pages 277-301, March.
  6. Granger, Clive W J, 1986. "Developments in the Study of Cointegrated Economic Variables," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 48(3), pages 213-28, August.
  7. 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.
  8. repec:fth:coluec:465 is not listed on IDEAS
  9. John Y. Campbell, 1986. "Does Saving Anticipate Declining Labor Income? An Alternative Test of the Permanent Income Hypothesis," NBER Working Papers 1805, National Bureau of Economic Research, Inc.
  10. Bentolila, Samuel & Bertola, Giuseppe, 1990. "Firing Costs and Labour Demand: How Bad Is Eurosclerosis?," Review of Economic Studies, Wiley Blackwell, vol. 57(3), pages 381-402, July.
  11. Dixit, Avinash, 1991. "A simplified treatment of the theory of optimal regulation of Brownian motion," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 657-673, October.
  12. 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.
  13. Peter C.B. Phillips, 1988. "Error Correction and Long Run Equilibrium in Continuous Time," Cowles Foundation Discussion Papers 882R, Cowles Foundation for Research in Economics, Yale University, revised Jul 1989.
  14. Granger, Clive W J & Hallman, Jeffrey J, 1991. "Long Memory Series with Attractors," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 53(1), pages 11-26, February.
  15. Stock, James H, 1987. "Asymptotic Properties of Least Squares Estimators of Cointegrating Vectors," Econometrica, Econometric Society, vol. 55(5), pages 1035-56, September.
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