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Currency Option Pricing in Credible Target Zones

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  • Bernard Dumas
  • L. Peter Jennergren
  • Bertil Naslund

Abstract

This paper develops a model for valuing options on a currency which is maintained within a band. The starting point of our model is the well known Krugman model for exchange-rate behavior within a target zone. Results from model runs provide insight into evidence reported by other authors of mispricing of currency options by extensions of the Black-Scholes model.

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File URL: http://www.nber.org/papers/w4522.pdf
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Bibliographic Info

Paper provided by National Bureau of Economic Research, Inc in its series NBER Working Papers with number 4522.

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Date of creation: Nov 1993
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Publication status: published as Review of Futures Markets, Vol. 12, No. 2, pp. 323-346. (April 1992)
Handle: RePEc:nbr:nberwo:4522

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  1. Flood, Robert P. & Rose, Andrew K. & Mathieson, Donald J., 1991. "An empirical exploration of exchange-rate target-zones," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 35(1), pages 7-65, January.
  2. Flood, Robert P & Garber, Peter M, 1991. "The Linkage between Speculative Attack and Target Zone Models of Exchange Rates," The Quarterly Journal of Economics, MIT Press, vol. 106(4), pages 1367-72, November.
  3. Obstfeld, Maurice & Stockman, Alan C., 1985. "Exchange-rate dynamics," Handbook of International Economics, in: R. W. Jones & P. B. Kenen (ed.), Handbook of International Economics, edition 1, volume 2, chapter 18, pages 917-977 Elsevier.
  4. Delgado, F. & Dumas, B., 1990. "Monetary Contracting Between Central Banks And The Design Of Sustainable Exchange-Rate Zones," Weiss Center Working Papers 20-90, Wharton School - Weiss Center for International Financial Research.
  5. Lars E. O. Svensson, 1990. "Target Zones and Interest Rate Variability," IMF Working Papers 90/31, International Monetary Fund.
  6. Garman, Mark B. & Kohlhagen, Steven W., 1983. "Foreign currency option values," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 231-237, December.
  7. Philippe Jorion, 1988. "On Jump Processes in the Foreign Exchange and Stock Markets," Review of Financial Studies, Society for Financial Studies, vol. 1(4), pages 427-445.
  8. Bertola, Giuseppe & Svensson, Lars E O, 1993. "Stochastic Devaluation Risk and the Empirical Fit of Target-Zone Models," Review of Economic Studies, Wiley Blackwell, vol. 60(3), pages 689-712, July.
  9. 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.
  10. Paul R. Krugman, 1988. "Target Zones and Exchange Rate Dynamics," NBER Working Papers 2481, National Bureau of Economic Research, Inc.
  11. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
  12. Francisco Delgado & Bernard Dumas, . "Monetary Contracting between Central Banks and the Design of Sustainable Exchange-Rate Zones (Reprint 035)," Rodney L. White Center for Financial Research Working Papers 20-90, Wharton School Rodney L. White Center for Financial Research.
  13. Delgado, F. & Dumas, B., 1990. "Monetary Contracting Between Central Banks And The Design Of Sustainable Exchange-Rate Zones," The Warwick Economics Research Paper Series (TWERPS) 360, University of Warwick, Department of Economics.
  14. Lindbecg, H. Soderlind, P., 1992. "Target Zone Models and the Intervention Policy; The Swedish Case," Papers 496, Stockholm - International Economic Studies.
  15. Paul Krugman & Marcus Miller, 1992. "Exchange Rate Targets and Currency Bands," NBER Books, National Bureau of Economic Research, Inc, number krug92-1, May.
  16. Lindberg, H. & Soderlind, P., 1991. "Testing the Basic Target Zone Model on Swedish Data," Papers 488, Stockholm - International Economic Studies.
  17. Francisco Delgado & Bernard Dumas, 1990. "Monetary Contracting Between Central Banks and the Design of SustainableExchange-Rate Zones," NBER Working Papers 3440, National Bureau of Economic Research, Inc.
  18. Eduardo R. Borensztein & Michael P. Dooley, 1987. "Options on Foreign Exchange and Exchange Rate Expectations," IMF Staff Papers, Palgrave Macmillan, vol. 34(4), pages 643-680, December.
  19. Bodurtha, James N. & Courtadon, Georges R., 1987. "Tests of an American Option Pricing Model on the Foreign Currency Options Market," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(02), pages 153-167, June.
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Citations

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Cited by:
  1. Dibeh, Ghassan, 2006. "Target zone dynamics where the fundamental follows a SDE with periodic forcing," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 363(2), pages 437-445.
  2. Mordecai Avriel & Jens Hilscher & Alon Raviv, 2012. "Inflation Derivatives Under Inflation Target Regimes," Working Papers 43, Brandeis University, Department of Economics and International Businesss School.
  3. Dumas, Bernard & Peter Jennergren, L. & Naslund, Bertil, 1995. "Realignment risk and currency option pricing in target zones," European Economic Review, Elsevier, vol. 39(8), pages 1523-1544, October.
  4. Christian Pierdzioch, 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.
  5. 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.
  6. 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.
  7. Mundaca, Gabriela, 2003. "A Drift of the "Drift Adjustment Method"," Memorandum 16/2002, Oslo University, Department of Economics.
  8. 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.

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