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Realignment risk and currency option pricing in target zones

  • Dumas, Bernard
  • Peter Jennergren, L.
  • Naslund, Bertil

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.

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Article provided by Elsevier in its journal European Economic Review.

Volume (Year): 39 (1995)
Issue (Month): 8 (October)
Pages: 1523-1544

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Handle: RePEc:eee:eecrev:v:39:y:1995:i:8:p:1523-1544
Contact details of provider: Web page: http://www.elsevier.com/locate/eer

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  1. Donald J. Mathieson & Robert P. Flood & Andrew K. Rose, 1991. "An Empirical Exploration of Exchange Rate Target-Zones," IMF Working Papers 91/15, International Monetary Fund.
  2. Giuseppe Bertola & Lars E.O. Svensson, 1991. "Stochastic Devaluation Risk and the Empirical Fit of Target Zone Models," NBER Working Papers 3576, National Bureau of Economic Research, Inc.
  3. Maurice Obstfeld & Alan C. Stockman, 1983. "Exchange-Rate Dynamics," NBER Working Papers 1230, National Bureau of Economic Research, Inc.
  4. Froot, Kenneth A. & Obstfeld, Maurice, 1991. "Exchange-rate dynamics under stochastic regime shifts : A unified approach," Journal of International Economics, Elsevier, vol. 31(3-4), pages 203-229, November.
  5. Bernard Dumas & L. Peter Jennergren & Bertil Naslund, 1993. "Currency Option Pricing in Credible Target Zones," NBER Working Papers 4522, National Bureau of Economic Research, Inc.
  6. Svensson, Lars E. O., 1991. "The term structure of interest rate differentials in a target zone : Theory and Swedish data," Journal of Monetary Economics, Elsevier, vol. 28(1), pages 87-116, August.
  7. Rose, A.K. & Svensson, L.E., 1991. "Expected and Predicted Realignments: the FF/DM Exchange Rate during the EMS," Papers 485, Stockholm - International Economic Studies.
  8. Orlin J. Grabbe, . "The Pricing of Call and Put Options on Foreign Exchange," Rodney L. White Center for Financial Research Working Papers 6-83, Wharton School Rodney L. White Center for Financial Research.
  9. Lars E.O. Svensson, 1989. "Target Zones and Interest Rate Variability," NBER Working Papers 3218, National Bureau of Economic Research, Inc.
  10. Edison, Hali J. & Fisher, Eric O'N, 1991. "A long-run view of the European monetary system," Journal of International Money and Finance, Elsevier, vol. 10(1), pages 53-70, March.
  11. Akgiray, Vedat & Booth, G Geoffrey, 1988. "Mixed Diffusion-Jump Process Modeling of Exchange Rate Movements," The Review of Economics and Statistics, MIT Press, vol. 70(4), pages 631-37, November.
  12. Hans Lindberg & Lars E.O. Svensson & Paul Soderlind, 1991. "Devaluation Expectations: The Swedish Krona 1982-1991," NBER Working Papers 3918, National Bureau of Economic Research, Inc.
  13. Paul Krugman & Marcus Miller, 1992. "Exchange Rate Targets and Currency Bands," NBER Books, National Bureau of Economic Research, Inc, number krug92-1, October.
  14. 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.
  15. Merton, Robert C., 1976. "Option pricing when underlying stock returns are discontinuous," Journal of Financial Economics, Elsevier, vol. 3(1-2), pages 125-144.
  16. Tucker, Alan L & Pond, Lallon, 1988. "The Probability Distribution of Foreign Exchange Price Changes: Tests of Candidate Processes," The Review of Economics and Statistics, MIT Press, vol. 70(4), pages 638-47, November.
  17. Paul R. Krugman, 1988. "Target Zones and Exchange Rate Dynamics," NBER Working Papers 2481, National Bureau of Economic Research, Inc.
  18. Lindberg, H. & Soderlind, P., 1991. "Testing the Basic Target Zone Model on Swedish Data," Papers 488, Stockholm - International Economic Studies.
  19. Orlin J. Grabbe, . "The Pricing of Call and Put Options on Foreign Exchange," Rodney L. White Center for Financial Research Working Papers 06-83, Wharton School Rodney L. White Center for Financial Research.
  20. Orlin Grabbe, J., 1983. "The pricing of call and put options on foreign exchange," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 239-253, December.
  21. Dumas, B. & Jennergren, L.P. & Naslund, B., 1993. "Siegel's Paradox and Pricing of Currency Options," Weiss Center Working Papers 93-8, Wharton School - Weiss Center for International Financial Research.
  22. Delgado, Francisco & Dumas, Bernard, 1993. "Monetary contracting between central banks and the design of sustainable exchange-rate zones," Journal of International Economics, Elsevier, vol. 34(3-4), pages 201-224, May.
  23. Robert P. Flood & Peter M. Garber, 1989. "The Linkage Between Speculative Attack and Target Zone Models of Exchange Rates," NBER Working Papers 2918, National Bureau of Economic Research, Inc.
  24. Geske, Robert, 1979. "The valuation of compound options," Journal of Financial Economics, Elsevier, vol. 7(1), pages 63-81, March.
  25. Lindbecg, H. Soderlind, P., 1992. "Target Zone Models and the Intervention Policy; The Swedish Case," Papers 496, Stockholm - International Economic Studies.
  26. Lars E. O. Svensson, 1992. "An Interpretation of Recent Research on Exchange Rate Target Zones," Journal of Economic Perspectives, American Economic Association, vol. 6(4), pages 119-144, Fall.
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