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An Exchange Rate Target Zone Model with a Terminal Condition and Mean-Reverting Fundamentals

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  • Viktors Ajevskis

Abstract

This paper proposes a target zones exchange rate model with a terminal condition of entering a currency zone. It is assumed that the exchange rate is a function of the fundamental and time. Another essential assumptions of the model is that the fundamental process is bounded inside a band and that terminal condition for the exchange rate holds. The fundamental is specified in two ways: as a regulated Brownian motion and Ornstein-Uhlenbeck processes. For the case of the Brownian motion process the closed form solution of the problem is obtained, whereas for the Ornstein-Uhlenbeck process the closed form solution does not exist, therefore we had to use numerical method for solving of the problem. Both specifications are compared numerically.

Suggested Citation

  • Viktors Ajevskis, 2015. "An Exchange Rate Target Zone Model with a Terminal Condition and Mean-Reverting Fundamentals," Papers 1506.04880, arXiv.org.
    • Handle: RePEc:arx:papers:1506.04880
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    References listed on IDEAS

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    1. 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.
    2. 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.
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    Cited by:

    1. Arcand, Jean-Louis & Kumar, Shekhar Hari & Hongler, Max-Olivier & Rinaldo, Daniele, 2023. "Can one hear the shape of a target zone?," Journal of Mathematical Economics, Elsevier, vol. 107(C).

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    More about this item

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C6 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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