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Currency Option Pricing in Credible Target Zones

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Author Info

  • Dumas, B.
  • Jennergren, L.P.
  • Naslund, B.

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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Bibliographic Info

Paper provided by Wharton School - Weiss Center for International Financial Research in its series Weiss Center Working Papers with number 93-7.

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Length: 16 pages
Date of creation: 1993
Date of revision:
Handle: RePEc:fth:pennif:93-7

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Keywords: exchange rate ; financial policy;

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References

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  1. Robert P. Flood & Andrew K. Rose & Donald J. Mathieson, 1990. "An Empirical Exploration of Exchange Rate Target-Zones," NBER Working Papers 3543, National Bureau of Economic Research, Inc.
  2. Svensson, Lars E. O., 1991. "Target zones and interest rate variability," Journal of International Economics, Elsevier, vol. 31(1-2), pages 27-54, August.
  3. 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.
  4. Paul Krugman & Marcus Miller, 1992. "Exchange Rate Targets and Currency Bands," NBER Books, National Bureau of Economic Research, Inc, number krug92-1, May.
  5. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
  6. Krugman, Paul R, 1991. "Target Zones and Exchange Rate Dynamics," The Quarterly Journal of Economics, MIT Press, vol. 106(3), pages 669-82, August.
  7. 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.
  8. Maurice Obstfeld & Alan C. Stockman, 1983. "Exchange-Rate Dynamics," NBER Working Papers 1230, National Bureau of Economic Research, Inc.
  9. Lindbecg, H. Soderlind, P., 1992. "Target Zone Models and the Intervention Policy; The Swedish Case," Papers 496, Stockholm - International Economic Studies.
  10. 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.
  11. 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.
  12. 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.
  13. 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.
  14. Lindberg, H. & Soderlind, P., 1991. "Testing the Basic Target Zone Model on Swedish Data," Papers 488, Stockholm - International Economic Studies.
  15. 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.
  16. 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.
  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. 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.
  19. 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.
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Citations

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Cited by:
  1. 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.
  2. 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.
  3. 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.
  4. Mundaca, Gabriela, 2003. "A Drift of the "Drift Adjustment Method"," Memorandum 16/2002, Oslo University, Department of Economics.
  5. 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.
  6. 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.
  7. 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.
  8. 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.

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