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Can one hear the shape of a target zone?


  • Jean-Louis Arcand
  • Max-Olivier Hongler
  • Shekhar Hari Kumar
  • Daniele Rinaldo


We develop an exchange rate target zone model with finite exit time and non-Gaussian tails. We show how the tails are a consequence of time-varying investor risk aversion, which generates mean-preserving spreads in the fundamental distribution. We solve explicitly for stationary and non-stationary exchange rate paths, and show how both depend continuously on the distance to the exit time and the target zone bands. This enables us to show how central bank intervention is endogenous to both the distance of the fundamental to the band and the underlying risk. We discuss how the feasibility of the target zone is shaped by the set horizon and the degree of underlying risk, and we determine a minimum time at which the required parity can be reached. We prove that increases in risk after a certain threshold can yield endogenous regime shifts where the ``honeymoon effects'' vanish and the target zone cannot be feasibly maintained. None of these results can be obtained by means of the standard Gaussian or affine models. Numerical simulations allow us to recover all the exchange rate densities established in the target zone literature. The generality of our framework has important policy implications for modern target zone arrangements.

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  • Jean-Louis Arcand & Max-Olivier Hongler & Shekhar Hari Kumar & Daniele Rinaldo, 2020. "Can one hear the shape of a target zone?," Papers 2002.00948,, revised Jun 2022.
  • Handle: RePEc:arx:papers:2002.00948

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    References listed on IDEAS

    1. Lundbergh, Stefan & Terasvirta, Timo, 2006. "A time series model for an exchange rate in a target zone with applications," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 579-609.
    2. Sebnem Kalemli-Ozcan & Liliana Varela, 2019. "Exchange Rate and Interest Rate Disconnect: The Role of Capital Flows, Currency Risk and Default Risk," 2019 Meeting Papers 351, Society for Economic Dynamics.
    3. Olivier Coibion & Yuriy Gorodnichenko, 2015. "Information Rigidity and the Expectations Formation Process: A Simple Framework and New Facts," American Economic Review, American Economic Association, vol. 105(8), pages 2644-2678, August.
    4. Ajevskis, Viktors, 2015. "An exchange rate target zone model with a terminal condition and mean-reverting fundamentals," MPRA Paper 65078, University Library of Munich, Germany.
    5. Jesús Crespo-Cuaresma & Balázs Egert & Ronald MacDonald, 2005. "Non-Linear Exchange Rate Dynamics in Target Zones: A Bumpy Road towards a Honeymoon - Some Evidence from the ERM, ERM2 and Selected New EU Member States," CESifo Working Paper Series 1511, CESifo.
    6. Viktors Ajevskis, 2011. "A target zone model with the terminal condition of joining a currency area," Applied Economics Letters, Taylor & Francis Journals, vol. 18(13), pages 1273-1278.
    7. Stefan Avdjiev & Valentina Bruno & Catherine Koch & Hyun Song Shin, 2019. "The Dollar Exchange Rate as a Global Risk Factor: Evidence from Investment," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 67(1), pages 151-173, March.
    8. Sandro Claudio Lera & Didier Sornette, 2015. "Currency target zone modeling: An interplay between physics and economics," Papers 1508.04754,, revised Oct 2015.
    9. Ferreira, Alex & Moore, Michael & Mukherjee, Satrajit, 2019. "Expectation errors in the foreign exchange market," Journal of International Money and Finance, Elsevier, vol. 95(C), pages 44-51.
    10. Bessec, Marie, 2003. "Mean-reversion vs. adjustment to PPP: the two regimes of exchange rate dynamics under the EMS, 1979-1998," Economic Modelling, Elsevier, vol. 20(1), pages 141-164, January.
    11. Menzie D. Chinn & Michael J. Moore, 2011. "Order Flow and the Monetary Model of Exchange Rates: Evidence from a Novel Data Set," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(8), pages 1599-1624, December.
    12. Alexandra Janssen & Rahel Studer, 2014. "The Swiss franc's honeymoon," ECON - Working Papers 170, Department of Economics - University of Zurich, revised Jan 2017.
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