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Feedback covariates unit root tests : an application to the sustainability of fiscal policy

  • Fève, Patrick
  • Hénin, Pierre-Yves
  • Jolivaldt, Philippe

Sustainability tests often ignore the joint dynamics of stock and flow variables. This paper shows that such a practice leads to inappropriate statistical inference, and that taking into account this joint dynamics when testing for unit root induces large power gains. This paper introduces a new statistics denoted FADF (Feedback augmented Dickey Fuller), which fully combines feedback effects and covariates. The paper derives the limit distribution of the test statistic and comments on the asymptotic power functions. A simulation study and an empirical application based on US public debt sustainability illustrate the potential of this approach.

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Paper provided by CEPREMAP in its series CEPREMAP Working Papers (Couverture Orange) with number 9810.

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Length: 36 pages
Date of creation: 1998
Date of revision:
Handle: RePEc:cpm:cepmap:9810
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  1. Peter C.B. Phillips, 1988. "Optimal Inference in Cointegrated Systems," Cowles Foundation Discussion Papers 866R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1989.
  2. David W. Wilcox, 1987. "The substainability of government deficits: implications of the present- value borrowing constraint," Working Paper Series / Economic Activity Section 77, Board of Governors of the Federal Reserve System (U.S.).
  3. Smith, Gregor W & Zin, Stanley E, 1991. "Persistent Deficits and the Market Value of Government Debt," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 6(1), pages 31-44, Jan.-Marc.
  4. Cavanagh, Christopher L. & Elliott, Graham & Stock, James H., 1995. "Inference in Models with Nearly Integrated Regressors," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1131-1147, October.
  5. Bohn, Henning, 1991. "Budget balance through revenue or spending adjustments? : Some historical evidence for the United States," Journal of Monetary Economics, Elsevier, vol. 27(3), pages 333-359, June.
  6. Campbell, J.Y. & Perron, P., 1991. "Pitfalls and Opportunities: What Macroeconomics should know about unit roots," Papers 360, Princeton, Department of Economics - Econometric Research Program.
  7. Peter C.B. Phillips, 1986. "Towards a Unified Asymptotic Theory for Autoregression," Cowles Foundation Discussion Papers 782R, Cowles Foundation for Research in Economics, Yale University, revised Aug 1986.
  8. Hansen, Bruce E., 1995. "Rethinking the Univariate Approach to Unit Root Testing: Using Covariates to Increase Power," Econometric Theory, Cambridge University Press, vol. 11(05), pages 1148-1171, October.
  9. Russell Davidson & James G. MacKinnon, 1994. "Graphical Methods for Investigating the Size and Power of Hypothesis Tests," Working Papers 903, Queen's University, Department of Economics.
  10. Haug, Alfred A, 1995. "Has Federal Budget Deficit Policy Changed in Recent Years?," Economic Inquiry, Western Economic Association International, vol. 33(1), pages 104-18, January.
  11. Muellbauer, John N J, 1996. "Income Persistence and Macro-Policy Feedbacks in the U.S," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 58(4), pages 703-33, November.
  12. Lawrence J. Christiano & Martin Eichenbaum, 1989. "Unit roots in real GNP: do we know, and do we care?," Discussion Paper / Institute for Empirical Macroeconomics 18, Federal Reserve Bank of Minneapolis.
  13. Bharat Trehan & Carl E. Walsh, 1987. "Common trends, the government's budget constraint, and revenue smoothing," Working Papers in Applied Economic Theory 87-11, Federal Reserve Bank of San Francisco.
  14. Robert Holzmann & Yves Hervé & Roland Demmel, 1996. "The maastricht fiscal criteria: Required but ineffective?," Empirica, Springer, vol. 23(1), pages 25-58, February.
  15. Wickens, M. R. & Uctum, Merih, 1993. "The sustainability of current account deficits : A test of the US intertemporal budget constraint," Journal of Economic Dynamics and Control, Elsevier, vol. 17(3), pages 423-441, May.
  16. Hakkio, Craig S & Rush, Mark, 1991. "Is the Budget Deficit "Too Large?"," Economic Inquiry, Western Economic Association International, vol. 29(3), pages 429-45, July.
  17. Quintos, Carmela E, 1995. "Sustainability of the Deficit Process with Structural Shifts," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(4), pages 409-17, October.
  18. Hamilton, James D & Flavin, Marjorie A, 1986. "On the Limitations of Government Borrowing: A Framework for EmpiricalTesting," American Economic Review, American Economic Association, vol. 76(4), pages 808-19, September.
  19. Peter C.B. Phillips & Bruce E. Hansen, 1988. "Statistical Inference in Instrumental Variables," Cowles Foundation Discussion Papers 869R, Cowles Foundation for Research in Economics, Yale University, revised Apr 1989.
  20. Bohn, Henning, 1995. "The Sustainability of Budget Deficits in a Stochastic Economy," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(1), pages 257-71, February.
  21. repec:cup:etheor:v:11:y:1995:i:5:p:1131-47 is not listed on IDEAS
  22. repec:cup:etheor:v:11:y:1995:i:5:p:1148-71 is not listed on IDEAS
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