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Equilibrium Valuation of Currency Options in a Small Open Economy

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  • Melanie Cao

Abstract

The log-normal Garman and Kohlhagen (1983) currency option model usually creates pricing biases when matched with the market prices. The observed price bias pattern is generally consistent with the mixed jump-diffusion distribution for exchange rates. Various studies have provided evidence of jump risks in exchange rate movements. This paper argues that the jump risk in the exchange rates may be correlated with the market. Thus an equilibrium framework is needed to price the systematic jump components in currency option prices. I propose an equilibrium model to investigate the dynamics of the exchange rate in a small open monetary economy with stochastic jump-diffusion processes for both the money supply and aggregate dividend. It is shown that the exchange rate is affected by government monetary policies, aggregate dividends and the level of investment in foreign assets. As a result, the exchange rate exhibits more discontinuities than stock prices as empirically documented. Since the jump in the exchange rate is correlated with aggregate consumption, the jump risk in the exchange rate derived from aggregate dividend must be priced for currency options. I further derive the foreign agents' risk-neutral valuation of the European currency option and provide restrictions to ensure the parity conditions in currency option market. In general, these restrictions depend on the agent's risk preference.

Suggested Citation

  • Melanie Cao, 1997. "Equilibrium Valuation of Currency Options in a Small Open Economy," Working Papers 960, Queen's University, Department of Economics.
  • Handle: RePEc:qed:wpaper:960
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    File URL: http://qed.econ.queensu.ca/working_papers/papers/qed_wp_960.pdf
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    References listed on IDEAS

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    1. Rotemberg, Julio J., 1985. "Money and the terms of trade," Journal of International Economics, Elsevier, vol. 19(1-2), pages 141-160, August.
    2. Lucas, Robert Jr., 1982. "Interest rates and currency prices in a two-country world," Journal of Monetary Economics, Elsevier, vol. 10(3), pages 335-359.
    3. Kollman, R., 1996. "The Exchange Rate in a Dynamic-Optimizing Current Account Model with Nominal Rigidities: A Quantitative Investigation," Cahiers de recherche 9614, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
    4. Obstfeld, Maurice & Taylor, Alan M., 1997. "Nonlinear Aspects of Goods-Market Arbitrage and Adjustment: Heckscher's Commodity Points Revisited," Journal of the Japanese and International Economies, Elsevier, vol. 11(4), pages 441-479, December.
    5. Obstfeld, Maurice, 1996. "Models of currency crises with self-fulfilling features," European Economic Review, Elsevier, vol. 40(3-5), pages 1037-1047, April.
    6. Alvarez, Fernando & Atkeson, Andrew, 1997. "Money and exchange rates in the Grossman-Weiss-Rotemberg model," Journal of Monetary Economics, Elsevier, vol. 40(3), pages 619-640, December.
    7. Kenneth Rogoff, 1996. "The Purchasing Power Parity Puzzle," Journal of Economic Literature, American Economic Association, vol. 34(2), pages 647-668, June.
    8. Charles Engel & John H. Rogers, 1995. "Regional Patterns in the Law of One Price: The Roles of Geography vs. Currencies," NBER Working Papers 5395, National Bureau of Economic Research, Inc.
    9. Mussa, Michael, 1982. "A Model of Exchange Rate Dynamics," Journal of Political Economy, University of Chicago Press, vol. 90(1), pages 74-104, February.
    10. Stockman, Alan C., 1988. "Real exchange-rate variability under pegged and floating nominal exchange-rate systems: An equilibrium theory," Carnegie-Rochester Conference Series on Public Policy, Elsevier, vol. 29(1), pages 259-294, January.
    11. Kimball, Miles S, 1995. "The Quantitative Analytics of the Basic Neomonetarist Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1241-1277, November.
    12. Schlagenhauf, Don E. & Wrase, Jeffrey M., 1995. "Liquidity and real activity in a simple open economy model," Journal of Monetary Economics, Elsevier, vol. 35(3), pages 431-461, June.
    13. Grilli, Vittorio & Roubini, Nouriel, 1992. "Liquidity and exchange rates," Journal of International Economics, Elsevier, vol. 32(3-4), pages 339-352, May.
    14. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
    15. Francesco Giavazzi & Marco Pagano, 1991. "The Advantage of Tying One's Hands: EMS Discipline and Central Bank Credibility," NBER Chapters,in: International Volatility and Economic Growth: The First Ten Years of The International Seminar on Macroeconomics, pages 303-330 National Bureau of Economic Research, Inc.
    16. Maurice Obstfeld & Kenneth S. Rogoff, 1996. "Foundations of International Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262150476, January.
    17. Carmen M. Reinhart & Graciela L. Kaminsky, 1999. "The Twin Crises: The Causes of Banking and Balance-of-Payments Problems," American Economic Review, American Economic Association, vol. 89(3), pages 473-500, June.
    18. Rodriguez Mendizabal, Hugo, 2002. "Monetary Union and the Transaction Cost Savings of a Single Currency," Review of International Economics, Wiley Blackwell, vol. 10(2), pages 263-277, May.
    19. Romer, David, 1987. "The monetary transmission mechanism in a general equilibrium version of the baumol-tobin model," Journal of Monetary Economics, Elsevier, vol. 20(1), pages 105-122, July.
    20. Helpman, Elhanan & Razin, Assaf, 1982. "A Comparison of Exchange Rate Regimes in the Presence of Imperfect Capital Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 23(2), pages 365-388, June.
    21. Dowd, Kevin & Greenaway, David, 1993. "Currency Competition, Network Externalities and Switching Costs: Towards an Alternative View of Optimum Currency Areas," Economic Journal, Royal Economic Society, vol. 103(420), pages 1180-1189, September.
    22. Krugman, Paul, 1979. "A Model of Balance-of-Payments Crises," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 11(3), pages 311-325, August.
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    More about this item

    Keywords

    Exchange rates; Systematic jumps; Currency options; Open economy; Equilibrium;

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • F31 - International Economics - - International Finance - - - Foreign Exchange

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