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A quasi-bounded target zone model — Theory and application to Hong Kong dollar

Author

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  • Lo, C.F.
  • Hui, C.H.
  • Fong, T.
  • Chu, S.W.

Abstract

This paper proposes a quasi-bounded process for exchange rate dynamics within a target zone, consistent with a credible exchange rate band in which the exchange rate cannot breach the strong-side limit while the weak-side limit is only accessible under restricted conditions of the relationship between the parameters of the drift term and stochastic part of the process. The empirical results suggest that this model can describe the dynamics of the Hong Kong dollar under a target-zone system, where the drifting force is an increasing function of foreign reserves.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:reveco:v:37:y:2015:i:c:p:1-17
    DOI: 10.1016/j.iref.2014.10.010
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    1. Myung Jig Kim & Charles R. Nelson & Richard Startz, 1991. "Mean Reversion in Stock Prices? A Reappraisal of the Empirical Evidence," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(3), pages 515-528.
    2. 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.
    3. 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.
    4. Hacker, R. Scott & Karlsson, Hyunjoo Kim & Månsson, Kristofer, 2014. "An investigation of the causal relations between exchange rates and interest rate differentials using wavelets," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 321-329.
    5. John C. Cox & Jonathan E. Ingersoll Jr. & Stephen A. Ross, 2005. "A Theory Of The Term Structure Of Interest Rates," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 5, pages 129-164, World Scientific Publishing Co. Pte. Ltd..
    6. 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.
    7. Lai, Ching-chong & Fang, Chung-rou & Chang, Juin-jen, 2008. "Volatility trade-offs in exchange rate target zones," International Review of Economics & Finance, Elsevier, vol. 17(3), pages 366-379.
    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. Lin, Hwan C., 2008. "Forward-rate target zones and exchange rate dynamics," Journal of International Money and Finance, Elsevier, vol. 27(5), pages 831-846, September.
    12. Angel Serrat, 2000. "Exchange Rate Dynamics in a Multilateral Target Zone," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(1), pages 193-211.
    13. Kempa, Bernd & Nelles, Michael, 1999. "Nonfundamental FX trading and excess volatility in credible target zones Theory and empirical evidence," International Review of Economics & Finance, Elsevier, vol. 8(1), pages 55-70, January.
    14. 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.
    15. 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.
    16. Svensson, Lars E. O., 1991. "The term structure of interest rate differentials in a target zone : Theory and Swedish data," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 87-116, August.
    17. 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.
    18. Gomez-Puig, Marta & Montalvo, JoseG., 1997. "A new indicator to assess the credibility of the EMS," European Economic Review, Elsevier, vol. 41(8), pages 1511-1535, August.
    19. 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.
    20. David Cook & James Yetman, 2014. "Currency Boards when Interest Rates are Zero," Pacific Economic Review, Wiley Blackwell, vol. 19(1), pages 135-151, February.
    21. Krugman,Paul & Miller,Marcus (ed.), 1992. "Exchange Rate Targets and Currency Bands," Cambridge Books, Cambridge University Press, number 9780521435260, January.
    22. 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.
    23. Dmitry Davydov & Vadim Linetsky, 2001. "Pricing and Hedging Path-Dependent Options Under the CEV Process," Management Science, INFORMS, vol. 47(7), pages 949-965, July.
    24. 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.
    25. 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.
    26. Paul Krugman & Marcus Miller, 1992. "Exchange Rate Targets and Currency Bands," NBER Books, National Bureau of Economic Research, Inc, number krug92-1.
    27. Paul Krugman & Julio Rotemberg, 1990. "Target Zones with Limited Reserves," NBER Working Papers 3418, National Bureau of Economic Research, Inc.
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    Cited by:

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    2. Hui, Cho-Hoi & Lo, Chi-Fai & Chau, Po-Hon & Wong, Andrew, 2020. "Does Bitcoin behave as a currency?: A standard monetary model approach," International Review of Financial Analysis, Elsevier, vol. 70(C).
    3. Hertrich Markus, 2016. "The Costs of Implementing a Unilateral One-Sided Exchange Rate Target Zone," Review of Economics, De Gruyter, vol. 67(1), pages 91-120, May.
    4. 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.
    5. Hui, Cho-Hoi & Lo, Chi-Fai & Cheung, Chi-Hin & Wong, Andrew, 2020. "Crude oil price dynamics with crash risk under fundamental shocks," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).

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    More about this item

    Keywords

    Target zone; Exchange rate system;

    JEL classification:

    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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