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Discrete choice modeling with nonstationary panels applied to exchange rate regime choice

  • Jin, Sainan

This paper develops a regression limit theory for discrete choice nonstationary panels with large cross section (N) and time series (T) dimensions. Some results emerging from this theory are directly applicable in the wider context of M-estimation. This includes an extension of work by Wooldridge [Wooldridge, J.M., 1994. Estimation and Inference for Dependent Processes. In: Engle, R.F., McFadden, D.L. (Eds.). Handbook of Econometrics, vol. 4, North-Holland, Amsterdam] on the limit theory of local extremum estimators to multi-indexed processes in nonlinear nonstationary panel data models. It is shown that the maximum likelihood (ML) estimator is consistent without an incidental parameters problem and has a limit theory with a fast rate of convergence N1/2T3/4 (in the stationary case, the rate is N1/2T1/2) for the regression coefficients and thresholds, and a normal limit distribution. In contrast, the limit distribution is known to be mixed normal in time series modeling, as shown in [Park, J.Y., Phillips, P.C.B., 2000, Nonstationary binary choice. Econometrica, 68, 1249-1280] (hereafter PP), and [Phillips, P.C.B., Jin, S., Hu, L., 2007. Nonstationary discrete choice: A corrigendum and addendum. Journal of Econometrics 141(2), 1115-1130] (hereafter, PJH). The approach is applied to exchange rate regime choice by monetary authorities, and we provide an analysis of the empirical phenomenon known as "fear of floating".

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Article provided by Elsevier in its journal Journal of Econometrics.

Volume (Year): 150 (2009)
Issue (Month): 2 (June)
Pages: 312-321

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Handle: RePEc:eee:econom:v:150:y:2009:i:2:p:312-321
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  1. Stanley Fischer, 2001. "Exchange Rate Regimes: Is the Bipolar View Correct?," Journal of Economic Perspectives, American Economic Association, vol. 15(2), pages 3-24, Spring.
  2. Amartya Lahiri & Carlos A. Vegh, 2001. "Living with the Fear of Floating: An Optimal Policy Perspective," NBER Working Papers 8391, National Bureau of Economic Research, Inc.
  3. Jinyong Hahn & Whitney Newey, 2003. "Jackknife and analytical bias reduction for nonlinear panel models," CeMMAP working papers CWP17/03, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  4. Hausmann, Ricardo & Panizza, Ugo & Stein, Ernesto, 2001. "Why do countries float the way they float?," Journal of Development Economics, Elsevier, vol. 66(2), pages 387-414, December.
  5. Peter C.B. Phillips & Sainan Jin & Ling Hu, 2005. "Nonstationary Discrete Choice: A Corrigendum and Addendum," Cowles Foundation Discussion Papers 1516, Cowles Foundation for Research in Economics, Yale University.
  6. Carmen M. Reinhart & Kenneth S. Rogoff & Miguel A. Savastano, 2003. "Addicted to Dollars," NBER Working Papers 10015, National Bureau of Economic Research, Inc.
    • Carmen M. Reinhart & Kenneth S. Rogoff & Miguel A. Savastano, 2003. "Addicted to Dollars," CEMA Working Papers 594, China Economics and Management Academy, Central University of Finance and Economics.
  7. Lancaster, Tony, 2000. "The incidental parameter problem since 1948," Journal of Econometrics, Elsevier, vol. 95(2), pages 391-413, April.
  8. Carmen M. Reinhart & Kenneth S. Rogoff, 2002. "The Modern History of Exchange Rate Arrangements: A Reinterpretation," NBER Working Papers 8963, National Bureau of Economic Research, Inc.
  9. Maurice Obstfeld & Kenneth Rogoff, 1995. "The Mirage of Fixed Exchange Rates," NBER Working Papers 5191, National Bureau of Economic Research, Inc.
  10. Lawrence H. Summers, 2000. "International Financial Crises: Causes, Prevention, and Cures," American Economic Review, American Economic Association, vol. 90(2), pages 1-16, May.
  11. Reinhart, Carmen & Calvo, Guillermo, 2002. "Fear of floating," MPRA Paper 14000, University Library of Munich, Germany.
  12. Peter C.B. Phillips & Hyungsik R. Moon, 1999. "Linear Regression Limit Theory for Nonstationary Panel Data," Cowles Foundation Discussion Papers 1222, Cowles Foundation for Research in Economics, Yale University.
  13. Peter C.B. Phillips & Joon Y. Park, 1998. "Asymptotics for Nonlinear Transformations of Integrated Time Series," Cowles Foundation Discussion Papers 1182, Cowles Foundation for Research in Economics, Yale University.
  14. Hahn, Jinyong & Kuersteiner, Guido, 2011. "Bias Reduction For Dynamic Nonlinear Panel Models With Fixed Effects," Econometric Theory, Cambridge University Press, vol. 27(06), pages 1152-1191, December.
  15. Joon Y. Park & Peter C. B. Phillips, 1999. "Nonstationary Binary Choice," Working Paper Series no5, Institute of Economic Research, Seoul National University.
  16. Tony Lancaster, 2002. "Orthogonal Parameters and Panel Data," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 647-666.
  17. Sebastian Edwards, 1996. "The Determinants of the Choice between Fixed and Flexible Exchange-Rate Regimes," NBER Working Papers 5756, National Bureau of Economic Research, Inc.
  18. Chamberlain, Gary, 1984. "Panel data," Handbook of Econometrics, in: Z. Griliches† & M. D. Intriligator (ed.), Handbook of Econometrics, edition 1, volume 2, chapter 22, pages 1247-1318 Elsevier.
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