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

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  • Jin, Sainan
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    Abstract

    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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    Bibliographic Info

    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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    Web page: http://www.elsevier.com/locate/jeconom

    Related research

    Keywords: Discrete choice model Exchange rate regime Fear of floating Fixed effects Joint limits Brownian local time;

    References

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    1. Park, Joon Y. & Phillips, Peter C.B., 1999. "Asymptotics For Nonlinear Transformations Of Integrated Time Series," Econometric Theory, Cambridge University Press, vol. 15(03), pages 269-298, June.
    2. Ricardo Hausmann & Ugo Panizza & Ernesto H. Stein, 2000. "Why Do Countries Float the Way They Float?," IDB Publications 6467, Inter-American Development Bank.
    3. Jinyong Hahn & Whitney Newey, 2004. "Jackknife and Analytical Bias Reduction for Nonlinear Panel Models," Econometrica, Econometric Society, vol. 72(4), pages 1295-1319, 07.
    4. 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.
    5. Carmen M. Reinhart & Kenneth S. Rogoff, 2004. "The Modern History of Exchange Rate Arrangements: A Reinterpretation," The Quarterly Journal of Economics, MIT Press, vol. 119(1), pages 1-48, February.
    6. Peter C.B. Phillips & Joon Y. Park, 1999. "Nonstationary Binary Choice," Cowles Foundation Discussion Papers 1223, Cowles Foundation for Research in Economics, Yale University.
    7. Reinhart, Carmen & Calvo, Guillermo, 2002. "Fear of floating," MPRA Paper 14000, University Library of Munich, Germany.
    8. Lawrence H. Summers, 2000. "International Financial Crises: Causes, Prevention, and Cures," American Economic Review, American Economic Association, vol. 90(2), pages 1-16, May.
    9. Hsiao,Cheng, 2003. "Analysis of Panel Data," Cambridge Books, Cambridge University Press, number 9780521522717, October.
    10. 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.
    11. 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.
    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. Maurice Obstfeld & Kenneth Rogoff, 1995. "The Mirage of Fixed Exchange Rates," NBER Working Papers 5191, National Bureau of Economic Research, Inc.
    14. Phillips, Peter C.B. & Jin, Sainan & Hu, Ling, 2007. "Nonstationary discrete choice: A corrigendum and addendum," Journal of Econometrics, Elsevier, vol. 141(2), pages 1115-1130, December.
    15. 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.
    16. Lancaster, Tony, 2000. "The incidental parameter problem since 1948," Journal of Econometrics, Elsevier, vol. 95(2), pages 391-413, April.
    17. 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.
    18. Jay C. Shambaugh, 2004. "The Effect of Fixed Exchange Rates on Monetary Policy," The Quarterly Journal of Economics, MIT Press, vol. 119(1), pages 300-351, February.
    19. Lancaster, Tony, 2002. "Orthogonal Parameters and Panel Data," Review of Economic Studies, Wiley Blackwell, vol. 69(3), pages 647-66, July.
    20. 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.
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