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The Pricing of Foreign Currency Options

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  • Angelo Melino
  • Stuart M. Turnbull

Abstract

This study examines the assumption that the exchange rate follows a log-normal probability distribution and it tests whether different stochastic specifications translate into important differences in implied option prices. The authors investigate a class of processes, which includes the log-normal probability distribution as a limiting case. None of the models perform particularly well. The main problem appears to be that the volatility estimates from actual exchange rate data are significantly smaller than those implied by observed option prices.

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Bibliographic Info

Article provided by Canadian Economics Association in its journal Canadian Journal of Economics.

Volume (Year): 24 (1991)
Issue (Month): 2 (May)
Pages: 251-81

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Handle: RePEc:cje:issued:v:24:y:1991:i:2:p:251-81

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Postal: Canadian Economics Association Prof. Steven Ambler, Secretary-Treasurer c/o Olivier Lebert, CEA/CJE/CPP Office C.P. 35006, 1221 Fleury Est Montréal, Québec, Canada H2C 3K4
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Citations

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Cited by:
  1. Lieu, Derming, 1997. "Estimation of empirical pricing equations for foreign-currency options: Econometric models vs. arbitrage-free models," International Review of Economics & Finance, Elsevier, vol. 6(3), pages 259-286.
  2. Chatayan Wiphatthanananthakul & Michael McAleer, 2009. "Simple Expected Volatility (SEV) Index: Application to SET50 Index Options," CARF F-Series CARF-F-173, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  3. Kim, Jerim & Kim, Bara & Moon, Kyoung-Sook & Wee, In-Suk, 2012. "Valuation of power options under Heston's stochastic volatility model," Journal of Economic Dynamics and Control, Elsevier, vol. 36(11), pages 1796-1813.
  4. Chen, Gang & Roberts, Matthew C. & Roe, Brian E., 2005. "Empirical Performance of Alternative Option Pricing Models for Commodity Futures Options," 2005 Annual meeting, July 24-27, Providence, RI 19183, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
  5. Peter A. Abken & Saikat Nandi, 1996. "Options and volatility," Economic Review, Federal Reserve Bank of Atlanta, issue Dec, pages 21-35.
  6. Akihiko Takahashi & Kohta Takehara, 2007. "An Asymptotic Expansion Approach to Currency Options with a Market Model of Interest Rates under Stochastic Volatility Processes of Spot Exchange Rates," Asia-Pacific Financial Markets, Springer, vol. 14(1), pages 69-121, March.
  7. Anatoliy Swishchuk & Maksym Tertychnyi & Winsor Hoang, 2014. "Currency Derivatives Pricing for Markov-modulated Merton Jump-diffusion Spot Forex Rate," Papers 1402.2273, arXiv.org.
  8. Shang-Jin Wei & Jeffrey A. Frankel, 1991. "Are Option-Implied Forecasts of Exchange Rate Volatility Excessively Variable?," NBER Working Papers 3910, National Bureau of Economic Research, Inc.
  9. Akihiko Takahashi & Kota Takehara & Akira Yamazaki, 2006. "Pricing Currency Options with a Market Model of Interest Rates under Jump-Diffusion Stochastic Volatility Processes of Spot Exchange Rates," CARF F-Series CARF-F-082, Center for Advanced Research in Finance, Faculty of Economics, The University of Tokyo.
  10. Vivek Bhargava & Robert Brooks & D. K. Malhotra, 2001. "Implied volatilities, stochastic interest rates, and currency futures options valuation: an empirical investigation," The European Journal of Finance, Taylor & Francis Journals, vol. 7(3), pages 231-246.
  11. Anatoliy Swishchuk & Maksym Tertychnyi & Robert Elliott, 2014. "Pricing Currency Derivatives with Markov-modulated Levy Dynamics," Papers 1402.1953, arXiv.org.

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