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Realignment Risk and Currency Option Pricing in Target Zones

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Listed:
  • Bernard Dumas
  • L. Peter Jennergren
  • Bertil Naslund

Abstract

This paper extends the Krugman target zone model by including a realignment mechanism. Various properties of that realignment mechanism are discussed. The movement of the exchange rate is governed both by a Wiener process on fundamental and by a Poisson jump process with endogenous realignment size. The realignment mechanism is such that (except in cases where a speculative attack occurs) no jump in fundamental is needed to accompany the jump in the exchange rate. A risk neutral valuation of currency options is constructed. Some properties of option values under realignment risk are illustrated by numerical results.

Suggested Citation

  • Bernard Dumas & L. Peter Jennergren & Bertil Naslund, 1993. "Realignment Risk and Currency Option Pricing in Target Zones," NBER Working Papers 4458, National Bureau of Economic Research, Inc.
    • Handle: RePEc:nbr:nberwo:4458
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    Cited by:

    1. Bernard Dumas & Lars Peter Jennergren & Bertil Näslund, 1992. "Currency option pricing in credible target zones," Working Papers hal-00611601, HAL.
    2. Mundaca, Gabriela, 2003. "A Drift of the "Drift Adjustment Method"," Memorandum 16/2002, Oslo University, Department of Economics.
    3. Lioui, Abraham, 1998. "Currency risk hedging: Futures vs. forward," Journal of Banking & Finance, Elsevier, vol. 22(1), pages 61-81, January.
    4. Pierdzioch, Christian, 2000. "Noise Traders? Trigger Rates, FX Options, and Smiles," Kiel Working Papers 970, Kiel Institute for the World Economy (IfW Kiel).
    5. Mordecai Avriel & Jens Hilscher & Alon Raviv, 2013. "Inflation Derivatives Under Inflation Target Regimes," Journal of Futures Markets, John Wiley & Sons, Ltd., vol. 33(10), pages 911-938, October.
    6. Young-Kyu Moh, 2006. "Continuous-time model of uncovered interest parity with regulated jump-diffusion interest differential," Applied Economics, Taylor & Francis Journals, vol. 38(21), pages 2523-2533.
    7. Ekvall, Niklas & Peter Jennergren, L. & Naslund, Bertil, 1997. "Currency option pricing with mean reversion and uncovered interest parity: A revision of the Garman-Kohlhagen model," European Journal of Operational Research, Elsevier, vol. 100(1), pages 41-59, July.
    8. Urban J. Jermann, 2017. "Financial Markets' Views about the Euro–Swiss Franc Floor," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 49(2-3), pages 553-565, March.
    9. Urban J. Jermann & Bin Wei & Vivian Z. Yue, 2022. "The Two‐Pillar Policy for the RMB," Journal of Finance, American Finance Association, vol. 77(6), pages 3093-3140, December.
    10. Rangvid, Jesper & Sorensen, Carsten, 2001. "Determinants of the implied shadow exchange rates from a target zone," European Economic Review, Elsevier, vol. 45(9), pages 1665-1696, October.
    11. Neuhaus, Holger, 1995. "Der Informationsgehalt von Derivaten für die Geldpolitik: Implizite Volatilitäten und Wahrscheinlichkeiten," Discussion Paper Series 1: Economic Studies 1995,03, Deutsche Bundesbank.
    12. Neuhaus, Holger, 1995. "The information content of derivatives for monetary policy: Implied volatilities and probabilities," Discussion Paper Series 1: Economic Studies 1995,03e, Deutsche Bundesbank.
    13. Fathi Abid & Moncef Habibi, 2010. "Hedging Transaction Exposure within the Context of a Basket Foreign Exchange Rate Arrangement," Working Papers 523, Economic Research Forum, revised 05 Jan 2010.
    14. Lim, Terence & Lo, Andrew W. & Merton, Robert C. & Scholes, Myron S., 2006. "The Derivatives Sourcebook," Foundations and Trends(R) in Finance, now publishers, vol. 1(5–6), pages 365-572, April.
    15. Sandun Perera & Winston Buckley & Hongwei Long, 2018. "Market-reaction-adjusted optimal central bank intervention policy in a forex market with jumps," Annals of Operations Research, Springer, vol. 262(1), pages 213-238, March.
    16. Peter P. Carr & Zura Kakushadze, 2017. "FX options in target zones," Quantitative Finance, Taylor & Francis Journals, vol. 17(10), pages 1477-1486, October.
    17. Naszódi, Anna, 2002. "A sávos árfolyamú deviza megközelítése opciók segítségével [The option-based description of the exchange rate in a target-zone system]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(1), pages 25-44.
    18. Alexandra Janssen & Rahel Studer, 2014. "The Swiss franc's honeymoon," ECON - Working Papers 170, Department of Economics - University of Zurich, revised Jan 2017.
    19. Chernov, Mikhail, 2007. "On the Role of Risk Premia in Volatility Forecasting," Journal of Business & Economic Statistics, American Statistical Association, vol. 25, pages 411-426, October.
    20. Bardhan, Indrajit, 1995. "Exchange rate shocks, currency options and the Siegel paradox," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 441-458, June.
    21. Dumas, Bernard & Jennergren, L. Peter & Naslund, Bertil, 1995. "Comment on 'Exchange rate shocks, currency options and the Siegel paradox' by Indrajit Bardhan," Journal of International Money and Finance, Elsevier, vol. 14(3), pages 459-460, June.
    22. Naszódi, Anna, 2004. "A sáveltolás árfolyamhatásának vizsgálata opciós modell keretei között [Target-zone rearrangement and exchange-rate behaviour in an options-based model]," Közgazdasági Szemle (Economic Review - monthly of the Hungarian Academy of Sciences), Közgazdasági Szemle Alapítvány (Economic Review Foundation), vol. 0(7), pages 638-658.
    23. Pierdzioch, Christian, 2000. "The Effectiveness of the FX Market Interventions of the Bundesbank During the Louvre Period: An Options-Based Analysis," Kiel Working Papers 971, Kiel Institute for the World Economy (IfW Kiel).
    24. Peter M. Garber & Michael G. Spencer, 1996. "Dynamic Hedging and the Interest Rate Defense," NBER Chapters, in: The Microstructure of Foreign Exchange Markets, pages 209-228, National Bureau of Economic Research, Inc.

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    More about this item

    JEL classification:

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

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