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Smooth transition models and arbitrage consistency

Slow adjustment of real exchange rate towards its long run equilibrium in linear models has long puzzled researchers and provided the impetus for the adoption of particular classes of nonlinear models. The exponential smooth transition model has been particularly successful as an ex post characterization of time series purchasing power parity data providing faster adjustment speeds. In this paper we discuss some of its theoretical limitations as an ex ante data generating mechanism since one interpretation of it is that expectations are adaptive. We propose a new nonlinear model which is conceptually superior to the ESTAR model since it is consistent with rational expectations. One of the advantages of the model is that it can be solved and estimated by nonlinear least squares. Using monthly post-1973 real exchange rate data, we show that the model implies even faster speeds of adjustment.

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Paper provided by Lancaster University Management School, Economics Department in its series Working Papers with number 566786.

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Date of creation: 2005
Date of revision:
Handle: RePEc:lan:wpaper:566786
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  1. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," CEPR Discussion Papers 1672, C.E.P.R. Discussion Papers.
  2. Martin Martens & Paul Kofman & Ton C. F. Vorst, 1998. "A threshold error-correction model for intraday futures and index returns," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 13(3), pages 245-263.
  3. Taylor, Nick & Dijk, Dick van & Franses, Philip Hans & Lucas, Andre, 2000. "SETS, arbitrage activity, and stock price dynamics," Journal of Banking & Finance, Elsevier, vol. 24(8), pages 1289-1306, August.
  4. Andrei Shleifer ad Robert W. Vishny, 1995. "The Limits of Arbitrage," Harvard Institute of Economic Research Working Papers 1725, Harvard - Institute of Economic Research.
  5. van Dijk, D.J.C. & Terasvirta, T. & Franses, Ph.H.B.F., 2000. "Smooth transition autoregressive models - A survey of recent developments," Econometric Institute Research Papers EI 2000-23/A, Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute.
  6. Berka, Martin, 2005. "General Equilibrium Model of Arbitrage Trade and Real Exchange Rate Persistence," MPRA Paper 234, University Library of Munich, Germany.
  7. Lothian, James R & Taylor, Mark P, 1996. "Real Exchange Rate Behavior: The Recent Float from the Perspective of the Past Two Centuries," Journal of Political Economy, University of Chicago Press, vol. 104(3), pages 488-509, June.
  8. Taylor, Mark P & Peel, David A & Sarno, Lucio, 2001. "Nonlinear Mean-Reversion in Real Exchange Rates: Toward a Solution to the Purchasing Power Parity Puzzles," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 1015-42, November.
  9. White, Halbert, 1980. "A Heteroskedasticity-Consistent Covariance Matrix Estimator and a Direct Test for Heteroskedasticity," Econometrica, Econometric Society, vol. 48(4), pages 817-38, May.
  10. Michael, Panos & Nobay, A Robert & Peel, David A, 1997. "Transactions Costs and Nonlinear Adjustment in Real Exchange Rates: An Empirical Investigation," Journal of Political Economy, University of Chicago Press, vol. 105(4), pages 862-79, August.
  11. D. A. Peel & I. A. Venetis, 2003. "Purchasing power parity over two centuries: trends and nonlinearity," Applied Economics, Taylor & Francis Journals, vol. 35(5), pages 609-617.
  12. Louis Dorrance Johnston & Menzie David Chinn, 1997. "Real Exchange Rate Levels, Productivity and Demand Shocks: Evidence from a Panel of 14 Countries," IMF Working Papers 97/66, International Monetary Fund.
  13. Koop, Gary & Pesaran, M. Hashem & Potter, Simon M., 1996. "Impulse response analysis in nonlinear multivariate models," Journal of Econometrics, Elsevier, vol. 74(1), pages 119-147, September.
  14. Dumas, Bernard, 1992. "Dynamic Equilibrium and the Real Exchange Rate in a Spatially Separated World," Review of Financial Studies, Society for Financial Studies, vol. 5(2), pages 153-80.
  15. Gerald P. Dwyer & Peter Locke & Wei Yu, 1995. "Index arbitrage and nonlinear dynamics between the S&P 500 futures and cash," FRB Atlanta Working Paper 95-17, Federal Reserve Bank of Atlanta.
  16. Granger, Clive W. J. & Terasvirta, Timo, 1993. "Modelling Non-Linear Economic Relationships," OUP Catalogue, Oxford University Press, number 9780198773207, July.
  17. Baum, Christopher F. & Barkoulas, John T. & Caglayan, Mustafa, 2001. "Nonlinear adjustment to purchasing power parity in the post-Bretton Woods era," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 379-399, June.
  18. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
  19. Peel, David A & Taylor, Mark P, 2002. "Covered Interest Rate Arbitrage in the Interwar Period and the Keynes-Einzig Conjecture," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 34(1), pages 51-75, February.
  20. Sercu, Piet & Uppal, Raman & Van Hulle, Cynthia, 1995. " The Exchange Rate in the Presence of Transaction Costs: Implications for Tests of Purchasing Power Parity," Journal of Finance, American Finance Association, vol. 50(4), pages 1309-19, September.
  21. repec:tpr:qjecon:v:104:y:1989:i:2:p:205-28 is not listed on IDEAS
  22. Uppal, Raman, 1993. " A General Equilibrium Model of International Portfolio Choice," Journal of Finance, American Finance Association, vol. 48(2), pages 529-53, June.
  23. Anderson, Heather M, 1997. "Transaction Costs and Non-linear Adjustment towards Equilibrium in the US Treasury Bill Market," Oxford Bulletin of Economics and Statistics, Department of Economics, University of Oxford, vol. 59(4), pages 465-84, November.
  24. Koedijk, Kees G. & Schotman, Peter C. & Van Dijk, Mathijs A., 1998. "The re-emergence of PPP in the 1990s," Journal of International Money and Finance, Elsevier, vol. 17(1), pages 51-61, February.
  25. Taylor, Mark P. & Peel, David A., 2000. "Nonlinear adjustment, long-run equilibrium and exchange rate fundamentals," Journal of International Money and Finance, Elsevier, vol. 19(1), pages 33-53, February.
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