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Can the SupLR test discriminate between different switching

Author

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  • CHARFEDDINE Lanouar

    (University of Paris II, Centre de recherche ERMES, doctorant associés à L'ENS Cahcan)

Abstract

In recent years two classes of switching models have been proposed, the Markov switching models, Hamilton (1989) and the Threshold Auto- Regressive Models (TAR), Lim and Tong (1980). These two models have the advantage of being able to modelize and capture asymmetry, sudden changes and irreversibility time observed in many economic and financial time series. Despite these similarities and common points, these models have been envolved, in the literature, largely independently. In this paper, using the $SupLR$ test, we study the possibility of discrimination between these two models. This approach is motivated by the fact that the majority of authors, in applications, use switching models without any statistical justification. We show that when the null hypothesis is rejected it appears that different switching models are significant. Then, using simulation experiments we show that it is very difficult to differenciate between MSAR and SETAR models specially with large samples. The power of the $SupLR$ test seems to be sensitive to the mean, the noise variance and the delay parameter which appear in each model. Finally, we apply this methodology to the US GNP growth rate and the US/UK exchange rate.

Suggested Citation

  • CHARFEDDINE Lanouar, 2005. "Can the SupLR test discriminate between different switching," International Finance 0511002, EconWPA.
  • Handle: RePEc:wpa:wuwpif:0511002 Note: Type of Document - pdf; pages: 26
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    References listed on IDEAS

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    1. Maurice Obstfeld & Kenneth Rogoff, 2001. "The Six Major Puzzles in International Macroeconomics: Is There a Common Cause?," NBER Chapters,in: NBER Macroeconomics Annual 2000, Volume 15, pages 339-412 National Bureau of Economic Research, Inc.
    2. Mark Bils & Peter J. Klenow, 2004. "Some Evidence on the Importance of Sticky Prices," Journal of Political Economy, University of Chicago Press, vol. 112(5), pages 947-985, October.
    3. Engel, Charles, 1993. "Real exchange rates and relative prices : An empirical investigation," Journal of Monetary Economics, Elsevier, vol. 32(1), pages 35-50, August.
    4. Crucini, Mario J. & Shintani, Mototsugu, 2008. "Persistence in law of one price deviations: Evidence from micro-data," Journal of Monetary Economics, Elsevier, vol. 55(3), pages 629-644, April.
    5. Lane, Philip R., 2001. "The new open economy macroeconomics: a survey," Journal of International Economics, Elsevier, pages 235-266.
    6. David C. Parsley & Shang-Jin Wei, 2001. "Limiting Currency Volatility to Stimulate Goods Market Integration: A Price Based Approach," NBER Working Papers 8468, National Bureau of Economic Research, Inc.
    7. Burstein, Ariel Tomas & Eichenbaum, Martin & Rebelo, Sérgio, 2002. "Why Are Rates of Inflation So Low After large Devaluations," CEPR Discussion Papers 3178, C.E.P.R. Discussion Papers.
    8. Charles Engel, 1999. "Accounting for U.S. Real Exchange Rate Changes," Journal of Political Economy, University of Chicago Press, vol. 107(3), pages 507-538, June.
    9. Krusell, Per & Smith, Anthony A., 1997. "Income And Wealth Heterogeneity, Portfolio Choice, And Equilibrium Asset Returns," Macroeconomic Dynamics, Cambridge University Press, vol. 1(02), pages 387-422, June.
    10. Ariel Burstein & Martin Eichenbaum & Sergio Rebelo, 2005. "Large Devaluations and the Real Exchange Rate," Journal of Political Economy, University of Chicago Press, vol. 113(4), pages 742-784, August.
    11. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
    12. James E. Anderson & Eric van Wincoop, 2004. "Trade Costs," Journal of Economic Literature, American Economic Association, pages 691-751.
    13. Jean Imbs & Haroon Mumtaz & Morten O. Ravn & Hélène Rey, 2005. "PPP Strikes Back: Aggregation And the Real Exchange Rate," The Quarterly Journal of Economics, Oxford University Press, vol. 120(1), pages 1-43.
    14. Taylor, John B, 1980. "Aggregate Dynamics and Staggered Contracts," Journal of Political Economy, University of Chicago Press, vol. 88(1), pages 1-23, February.
    15. Giovannini, Alberto, 1988. "Exchange rates and traded goods prices," Journal of International Economics, Elsevier, vol. 24(1-2), pages 45-68, February.
    16. Jose Manuel Campa & Linda S. Goldberg, 2002. "Exchange rate pass-through into import prices: a macro or micro phenomenon?," Staff Reports 149, Federal Reserve Bank of New York.
    17. Engel, Charles & Rogers, John H, 1996. "How Wide Is the Border?," American Economic Review, American Economic Association, vol. 86(5), pages 1112-1125, December.
    18. Engel, Charles & Rogers, John H., 2001. "Deviations from purchasing power parity: causes and welfare costs," Journal of International Economics, Elsevier, vol. 55(1), pages 29-57, October.
    19. Taylor, Alan M, 2001. "Potential Pitfalls for the Purchasing-Power-Parity Puzzle? Sampling and Specification Biases in Mean-Reversion Tests of the Law of One Price," Econometrica, Econometric Society, vol. 69(2), pages 473-498, March.
    20. José Manuel Campa & Linda S. Goldberg, 2005. "Exchange Rate Pass-Through into Import Prices," The Review of Economics and Statistics, MIT Press, vol. 87(4), pages 679-690, November.
    21. Fernando Alvarez & Andrew Atkeson & Patrick J. Kehoe, 2002. "Money, Interest Rates, and Exchange Rates with Endogenously Segmented Markets," Journal of Political Economy, University of Chicago Press, vol. 110(1), pages 73-112, February.
    22. V. V Chari & Patrick J. Kehoe & Ellen R. McGrattan, 2002. "Can Sticky Price Models Generate Volatile and Persistent Real Exchange Rates?," Review of Economic Studies, Oxford University Press, vol. 69(3), pages 533-563.
    23. Krugman, Paul, 1980. "Scale Economies, Product Differentiation, and the Pattern of Trade," American Economic Review, American Economic Association, vol. 70(5), pages 950-959, December.
    24. Khan, Aubhik & Thomas, Julia K., 2003. "Nonconvex factor adjustments in equilibrium business cycle models: do nonlinearities matter?," Journal of Monetary Economics, Elsevier, vol. 50(2), pages 331-360, March.
    25. Dornbusch, Rudiger, 1976. "Expectations and Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 84(6), pages 1161-1176, December.
    26. Michael B. Devereux & James Yetman, 2002. "Price Setting and Exhange Rate Pass-Through," Working Papers 222002, Hong Kong Institute for Monetary Research.
    27. Mark J. Zbaracki & Mark Ritson & Daniel Levy & Shantanu Dutta & Mark Bergen, 2004. "Managerial and Customer Costs of Price Adjustment: Direct Evidence from Industrial Markets," The Review of Economics and Statistics, MIT Press, vol. 86(2), pages 514-533, May.
    28. Eytan Sheshinski & Yoram Weiss, 1977. "Inflation and Costs of Price Adjustment," Review of Economic Studies, Oxford University Press, vol. 44(2), pages 287-303.
    29. Mario J. Crucini & Chris I. Telmer & Marios Zachariadis, 2005. "Understanding European Real Exchange Rates," American Economic Review, American Economic Association, vol. 95(3), pages 724-738, June.
    30. Parsley, David C. & Wei, Shang-Jin, 2001. "Explaining the border effect: the role of exchange rate variability, shipping costs, and geography," Journal of International Economics, Elsevier, vol. 55(1), pages 87-105, October.
    31. repec:cup:macdyn:v:1:y:1997:i:2:p:387-422 is not listed on IDEAS
    32. Burstein, Ariel T., 2006. "Inflation and output dynamics with state-dependent pricing decisions," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1235-1257, October.
    33. Mussa, Michael, 1986. "Nominal exchange rate regimes and the behavior of real exchange rates: Evidence and implications," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 25(1), pages 117-214, January.
    34. 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 1309-1319, September.
    35. Mark, Nelson C, 1995. "Exchange Rates and Fundamentals: Evidence on Long-Horizon Predictability," American Economic Review, American Economic Association, vol. 85(1), pages 201-218, March.
    36. Isard, Peter, 1977. "How Far Can We Push the "Law of One Price"?," American Economic Review, American Economic Association, vol. 67(5), pages 942-948, December.
    37. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
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    More about this item

    Keywords

    Switching Models; SETAR processes SupLR test; Empirical power; exchange rates;

    JEL classification:

    • C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Hypothesis Testing: General
    • C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Statistical Simulation Methods: General
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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