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Testing under non-standard conditions in frequency domain: with applications to Markov regime-switching models of exchange rates and federal funds rate

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  • Fangxiong Gong
  • Roberto S. Mariano

Abstract

We propose two test statistics in the frequency domain and derive their exact asymptotic null distributions under the condition of unidentified nuisance parameters. The proposed methods are particularly applicable in unobserved components models. Also, it is shown that the tests have considerable power when applied to a class of Markov regime switching models. We show that, after transforming the Markov regime switching model into the frequency domain representation we only have to face the issue of unidentified nuisance parameters in a nonlinear context. The singularity problem disappears. Compared to Hansen's (1992, 1996) LR-bound test of the same Markov regime switching model, our LM test performs better in terms of finite sample power, except in the special case of the Markov switching model in which the model becomes a Normal mixture model. Our test needs only a one-dimensional grid search while Hansen's (1992, 1996) test requires a three-dimensional grid search. The LM test is applied to Markov regime switching models of exchange rates and the Federal Funds rate. We used the same exchange rates data in Engel and Hamilton (1990). The null of random walk is not rejected in the exchange rates model. The null is rejected for the Federal Funds rate in subsample periods 1955:1-1979:9 and 1982:10-1995:11.

Suggested Citation

  • Fangxiong Gong & Roberto S. Mariano, 1997. "Testing under non-standard conditions in frequency domain: with applications to Markov regime-switching models of exchange rates and federal funds rate," Staff Reports 23, Federal Reserve Bank of New York.
  • Handle: RePEc:fip:fednsr:23
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    References listed on IDEAS

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    1. David Domeij & Martin Floden, 2006. "The Labor-Supply Elasticity and Borrowing Constraints: Why Estimates are Biased," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(2), pages 242-262, April.
    2. Jean-Charles Rochet & Xavier Vives, 2004. "Coordination Failures and the Lender of Last Resort: Was Bagehot Right After All?," Journal of the European Economic Association, MIT Press, vol. 2(6), pages 1116-1147, December.
    3. Morris, Stephen & Shin, Hyun Song, 1998. "Unique Equilibrium in a Model of Self-Fulfilling Currency Attacks," American Economic Review, American Economic Association, vol. 88(3), pages 587-597, June.
    4. Barro, Robert J & Gordon, David B, 1983. "A Positive Theory of Monetary Policy in a Natural Rate Model," Journal of Political Economy, University of Chicago Press, vol. 91(4), pages 589-610, August.
    5. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules and Macroeconomic Stability: Evidence and Some Theory," The Quarterly Journal of Economics, Oxford University Press, vol. 115(1), pages 147-180.
    6. Roc Armenter & Martin Bodenstein, 2005. "Does the time inconsistency problem make flexible exchange rates look worse than you think?," Staff Reports 230, Federal Reserve Bank of New York.
    7. Aubhik Khan & Robert G. King & Alexander L. Wolman, 2001. "The pitfalls of monetary discretion," Working Paper 01-08, Federal Reserve Bank of Richmond.
    8. Dupor, Bill, 2003. "Optimal random monetary policy with nominal rigidity," Journal of Economic Theory, Elsevier, vol. 112(1), pages 66-78, September.
    9. Stefania Albanesi & V. V. Chari & Lawrence J. Christiano, 2003. "Expectation Traps and Monetary Policy," Review of Economic Studies, Oxford University Press, vol. 70(4), pages 715-741.
    10. Lawrence J. Christiano & Christopher J. Gust, 2000. "The expectations trap hypothesis," Economic Perspectives, Federal Reserve Bank of Chicago, issue Q II, pages 21-39.
    11. Chari, V. V. & Christiano, Lawrence J. & Eichenbaum, Martin, 1998. "Expectation Traps and Discretion," Journal of Economic Theory, Elsevier, vol. 81(2), pages 462-492, August.
    12. Goodfriend, Marvin & King, Robert G., 2005. "The incredible Volcker disinflation," Journal of Monetary Economics, Elsevier, vol. 52(5), pages 981-1015, July.
    13. Albert Marcet & Juan P. Nicolini, 2003. "Recurrent Hyperinflations and Learning," American Economic Review, American Economic Association, pages 1476-1498.
    14. Morris, Stephen & Shin, Hyun Song, 2004. "Coordination risk and the price of debt," European Economic Review, Elsevier, vol. 48(1), pages 133-153, February.
    15. Krueger, Alan B. & Mueller, Andreas I., 2011. "Job Search and Job Finding in a Period of Mass Unemployment: Evidence from High-Frequency Longitudinal Data," IZA Discussion Papers 5450, Institute for the Study of Labor (IZA).
    16. Altonji, Joseph G, 1986. "Intertemporal Substitution in Labor Supply: Evidence from Micro Data," Journal of Political Economy, University of Chicago Press, vol. 94(3), pages 176-215, June.
    17. King, Robert G. & Wolman, Alexander L., 2004. "Monetary discretion, pricing complementarity and dynamic multiple equilibria," Working Paper Series 343, European Central Bank.
    18. Kydland, Finn E & Prescott, Edward C, 1977. "Rules Rather Than Discretion: The Inconsistency of Optimal Plans," Journal of Political Economy, University of Chicago Press, vol. 85(3), pages 473-491, June.
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    Cited by:

    1. Cheung, Yin-Wong & Erlandsson, Ulf G., 2005. "Exchange Rates and Markov Switching Dynamics," Journal of Business & Economic Statistics, American Statistical Association, vol. 23, pages 314-320, July.
    2. Dewachter, Hans, 2001. "Can Markov switching models replicate chartist profits in the foreign exchange market?," Journal of International Money and Finance, Elsevier, vol. 20(1), pages 25-41, February.

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