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The valuation of European call options on zero-coupon bonds in the run-up to a fixed exchange-rate regime

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  • Reher, Gerrit
  • Wilfling, Bernd

Abstract

We analyze the dynamics of zero-coupon bond options in a situation in which the currently floating exchange rate between two countries' currencies is announced to be fixed on a given future date. To this end, we combine two strands of research that have been treated as separate issues up to date. In particular, we make use of recent theoretical work on continuous-time dynamics of exchange rates and interest-rate differentials between the economies involved (as provided by the international-economics literature) and derive a closed-form pricing formula for a European call option on zero-coupon bonds (by means established in the classical finance literature). In a Monte-Carlo simulation study we show that significant option-pricing errors can occur when the key features of interest-rate dynamics during the run-up to the fixed exchange-rate regime are ignored.

Suggested Citation

  • Reher, Gerrit & Wilfling, Bernd, 2014. "The valuation of European call options on zero-coupon bonds in the run-up to a fixed exchange-rate regime," International Review of Economics & Finance, Elsevier, vol. 29(C), pages 483-496.
    • Handle: RePEc:eee:reveco:v:29:y:2014:i:c:p:483-496
    DOI: 10.1016/j.iref.2013.07.011
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    1. Favero, Carlo A. & Giavazzi, Francesco & Iacone, Fabrizio & Guido Tabellini, 2000. "Extracting information from asset prices: The methodology of EMU calculators," European Economic Review, Elsevier, vol. 44(9), pages 1607-1632, October.
    2. De Grauwe, Paul, 1996. "Forward Interest Rates as Predictors of EMU," CEPR Discussion Papers 1395, C.E.P.R. Discussion Papers.
    3. Jesper Lund, 1999. "A Model for Studying the Effect of EMU on European Yield Curves," Review of Finance, European Finance Association, vol. 2(3), pages 321-363.
    4. Wilfling Bernd, 2003. "Interest Rate Volatility Prior to Monetary Union under Alternative Pre-Switch Regimes," German Economic Review, De Gruyter, vol. 4(4), pages 433-457, December.
    5. Sutherland, Alan, 1995. "State- and time-contingent switches of exchange rate regime," Journal of International Economics, Elsevier, vol. 38(3-4), pages 361-374, May.
    6. Kempa, Bernd & Nelles, Michael, 1999. "Nonfundamental FX trading and excess volatility in credible target zones Theory and empirical evidence," International Review of Economics & Finance, Elsevier, vol. 8(1), pages 55-70, January.
    7. 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.
    8. Lee, Byung-Joo, 2013. "Uncovered interest parity puzzle: Asymmetric responses," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 238-249.
    9. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    10. Tervala, Juha, 2013. "Learning by devaluating: A supply-side effect of competitive devaluation," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 275-290.
    11. Alois Geyer & Stephan Kossmeier & Stefan Pichler, 2004. "Measuring Systematic Risk in EMU Government Yield Spreads," Review of Finance, European Finance Association, vol. 8(2), pages 171-197.
    12. David Sondermann & Mark Trede & Bernd Wilfling, 2011. "Estimating the degree of interventionist policies in the run-up to EMU," Applied Economics, Taylor & Francis Journals, vol. 43(2), pages 207-218.
    13. 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.
    14. Svensson, Lars E. O., 1991. "Target zones and interest rate variability," Journal of International Economics, Elsevier, vol. 31(1-2), pages 27-54, August.
    15. Jin, Hailong & Choi, E. Kwan, 2013. "Profits and losses from currency intervention," International Review of Economics & Finance, Elsevier, vol. 27(C), pages 14-20.
    16. Tse, Y.K. & Yip, Paul S.L., 2006. "Exchange-rate systems and interest-rate behaviour: The experience of Hong Kong and Singapore," International Review of Economics & Finance, Elsevier, vol. 15(2), pages 212-227.
    17. Jamshidian, Farshid, 1989. " An Exact Bond Option Formula," Journal of Finance, American Finance Association, vol. 44(1), pages 205-209, March.
    18. De Grauwe, Paul & Dewachter, Hans & Veestraeten, Dirk, 1999. "Price dynamics under stochastic process switching: some extensions and an application to EMU1," Journal of International Money and Finance, Elsevier, vol. 18(2), pages 195-224, February.
    19. 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.
    20. Alois Geyer & Stephan Kossmeier & Stefan Pichler, 2004. "Measuring Systematic Risk in EMU Government Yield Spreads," Review of Finance, Springer, vol. 8(2), pages 171-197.
    21. Naszodi, Anna, 2011. "Exchange rate dynamics under state-contingent stochastic process switching," Journal of International Money and Finance, Elsevier, vol. 30(5), pages 896-908, September.
    22. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    23. Bates, David S., 1999. "Financial markets' assessments of EMU," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 51(1), pages 229-269, December.
    24. Wilfling, Bernd & Maennig, Wolfgang, 2001. "Exchange rate dynamics in anticipation of time-contingent regime switching: modelling the effects of a possible delay," Journal of International Money and Finance, Elsevier, vol. 20(1), pages 91-113, February.
    25. Bernd Wilfling, 2003. "Interest Rate Volatility Prior to Monetary Union under Alternative Pre-Switch Regimes," German Economic Review, Verein für Socialpolitik, vol. 4, pages 433-457, November.
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    More about this item

    Keywords

    Exchange-rate dynamics; Uncovered interest parity; Interest-rate options; Switching exchange-rate regimes;
    All these keywords.

    JEL classification:

    • E42 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Monetary Sytsems; Standards; Regimes; Government and the Monetary System
    • F31 - International Economics - - International Finance - - - Foreign Exchange
    • F33 - International Economics - - International Finance - - - International Monetary Arrangements and Institutions
    • F37 - International Economics - - International Finance - - - International Finance Forecasting and Simulation: Models and Applications
    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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