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Can Exchange Rate Dynamics in Krugman¡¯s Target-zone Model be Directly Tested?Abstract: Despite Krugman's (1991) model being a benchmark for modelling target zones, empirical support has been sparse due to the subtle non-linear relationship between the observable exchange rate and underlying unobservable fundamental. This paper provides an alternative approach to derive explicit exchange rate dynamics by approximating a quadratic relationship between the exchange rate and fundamental through a power-series method. The exchange rate dynamics with a parametric class of drift terms of the stochastic fundamental, including zero-trend (Krugman¡¯s model), symmetric and asymmetric mean-reverting forces regarding how central banks intervene are ready for direct empirical tests. The empirical results demonstrate that the derived dynamics following a square-root process (in Krugman¡¯s model), or mean-reverting square-root process, adequately fit the exchange rate data of various target-zone systems including the Exchange Rate Mechanism and the Linked Exchange Rate System of the Hong Kong dollar. The model parameters of the exchange rate dynamics under the asymmetric mean-reverting fundamental are shown to be associated with realignment of the currencies¡¯ target zones

Author

Listed:
  • Cho-Hoi Hui

    (Hong Kong Monetary Authority)

  • Chi-Fai Lo

    (The Chinese University of Hong Kong)

  • Po-Hon Chau

    (The Chinese University of Hong Kong)

Abstract

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Suggested Citation

  • Cho-Hoi Hui & Chi-Fai Lo & Po-Hon Chau, 2017. "Can Exchange Rate Dynamics in Krugman¡¯s Target-zone Model be Directly Tested?Abstract: Despite Krugman's (1991) model being a benchmark for modelling target zones, empirical support has been sparse d," Working Papers 032017, Hong Kong Institute for Monetary Research.
    • Handle: RePEc:hkm:wpaper:032017
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    1. Anthony, Myrvin & MacDonald, Ronald, 1998. "On the mean-reverting properties of target zone exchange rates: Some evidence from the ERM," European Economic Review, Elsevier, vol. 42(8), pages 1493-1523, September.
    2. Lo, C.F. & Hui, C.H. & Fong, T. & Chu, S.W., 2015. "A quasi-bounded target zone model — Theory and application to Hong Kong dollar," International Review of Economics & Finance, Elsevier, vol. 37(C), pages 1-17.
    3. Hui, Cho-Hoi & Lo, Chi-Fai & Fong, Tom Pak-Wing, 2016. "Swiss franc's one-sided target zone during 2011–2015," International Review of Economics & Finance, Elsevier, vol. 44(C), pages 54-67.
    4. Giuseppe Bertola & Lars E. O. Svensson, 1993. "Stochastic Devaluation Risk and the Empirical Fit of Target-Zone Models," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(3), pages 689-712.
    5. Nieuwland, Frederick G M C & Verschoor, Willem F C & Wolff, Christian C P, 1994. "Stochastic trends and jumps in EMS exchange rates," Journal of International Money and Finance, Elsevier, vol. 13(6), pages 699-727, December.
    6. António Portugal Duarte & João Sousa Andrade & Adelaide Duarte, 2013. "Exchange Rate Target Zones: A Survey Of The Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 27(2), pages 247-268, April.
    7. Lera, Sandro Claudio & Sornette, Didier, 2016. "Quantitative modelling of the EUR/CHF exchange rate during the target zone regime of September 2011 to January 2015," Journal of International Money and Finance, Elsevier, vol. 63(C), pages 28-47.
    8. Hans Genberg & Cho-Hoi Hui, 2011. "The Credibility of Hong Kong's Link from the Perspective of Modern Financial Theory," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(1), pages 185-206, February.
    9. Paul R. Krugman, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 106(3), pages 669-682.
    10. Angelos Kanas, 1998. "Testing for a unit root in ERM exchange rates in the presence of structural breaks: evidence from the bootstrap," Applied Economics Letters, Taylor & Francis Journals, vol. 5(7), pages 407-410.
    11. Ball, Clifford A. & Roma, Antonio, 1993. "A jump diffusion model for the European monetary system," Journal of International Money and Finance, Elsevier, vol. 12(5), pages 475-492, October.
    12. Froot, Kenneth A. & Obstfeld, Maurice, 1991. "Exchange-rate dynamics under stochastic regime shifts : A unified approach," Journal of International Economics, Elsevier, vol. 31(3-4), pages 203-229, November.
    13. Rose, Andrew K. & Svensson, Lars E. O., 1994. "European exchange rate credibility before the fall," European Economic Review, Elsevier, vol. 38(6), pages 1185-1216, June.
    14. Anthony, Myrvin & MacDonald, Ronald, 1999. "The width of the band and exchange rate mean-reversion: some further ERM-based results," Journal of International Money and Finance, Elsevier, vol. 18(3), pages 411-428.
    15. Lars E. O. Svensson, 1992. "An Interpretation of Recent Research on Exchange Rate Target Zones," Journal of Economic Perspectives, American Economic Association, vol. 6(4), pages 119-144, Fall.
    16. Krugman,Paul & Miller,Marcus (ed.), 1992. "Exchange Rate Targets and Currency Bands," Cambridge Books, Cambridge University Press, number 9780521435260.
    17. Ball, Clifford A. & Roma, Antonio, 1994. "Target zone modelling and estimation for European Monetary System exchange rates," Journal of Empirical Finance, Elsevier, vol. 1(3-4), pages 385-420, July.
    18. Kristian Stegenborg Larsen & Michael Sørensen, 2007. "Diffusion Models For Exchange Rates In A Target Zone," Mathematical Finance, Wiley Blackwell, vol. 17(2), pages 285-306, April.
    19. F. De Jong & F. C. Drost & B. J. M. Werker, 2001. "A Jump‐diffusion Model for Exchange Rates in a Target Zone," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 55(3), pages 270-300, November.
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    • F31 - International Economics - - International Finance - - - Foreign Exchange

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