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Tests of an American Option Pricing Model on the Foreign Currency Options Market

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  • Bodurtha, James N.
  • Courtadon, Georges R.

Abstract

This paper tests the ability of the American option pricing model proposed by Parkinson [18] or Mason [14] to explain the pricing of the foreign currency options traded on the Philadelphia Stock Exchange from February 28, 1983 to March 26, 1985. We find that the model underprices out-of-the-money options relative to at-the-money and in-the-money options. This relative underpricing is driven by an underpricing of out-of-the-money call options of short maturity. In addition, the degree of relative mispricing for most categories of options is shown to be a decreasing function of the time to maturity of the options. Longer maturity options appear to trade at similar levels of implied volatility whether they are in, at, or out of the money. Most of these biases appear consistent with the fact that the underlying spot currency rate follows a mixed jump diffusion process as described in [17].

Suggested Citation

  • 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.
  • Handle: RePEc:cup:jfinqa:v:22:y:1987:i:02:p:153-167_01
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    References listed on IDEAS

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    Cited by:

    1. Butler, J. S. & Schachter, Barry, 1996. "The statistical properties of parameters inferred from the black-scholes formula," International Review of Financial Analysis, Elsevier, vol. 5(3), pages 223-235.
    2. Dumas, B. & Jennergren, L.P. & Naslund, B., 1993. "Currency Option Pricing in Credible Target Zones," Weiss Center Working Papers 93-7, Wharton School - Weiss Center for International Financial Research.
    3. Dumas, B. & Jennergren, L.P. & Naslund, B., 1993. "Currency Option Pricing in Credible Target Zones," Weiss Center Working Papers 93-7, Wharton School - Weiss Center for International Financial Research.
    4. Lim, G. C. & Lye, J. N. & Martin, G. M. & Martin*, V. L., 1998. "The distribution of exchange rate returns and the pricing of currency options," Journal of International Economics, Elsevier, pages 351-368.
    5. José Manuel Campa & P.H. Kevin Chang & James F. Refalo, 1999. "An Options-Based Analysis of Emerging Market Exchange Rate Expectations: Brazil's Real Plan, 1994-1997," Working Papers 99-08, New York University, Leonard N. Stern School of Business, Department of Economics.
    6. Frans Roon & Chris Veld, 1996. "An empirical investigation of the factors that determine the pricing of Dutch index warrants," European Financial Management, European Financial Management Association, vol. 2(1), pages 97-112.
    7. Jiang, George J., 1998. "Jump-diffusion model of exchange rate dynamics : estimation via indirect inference," Research Report 98A40, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    8. 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.
    9. Chihwa Kao, 2001. "Geography, Industrial Organization, and Agglomeration Heteroskedasticity Models with Estimates of the Variances of Foreign Exchange Rates," Center for Policy Research Working Papers 34, Center for Policy Research, Maxwell School, Syracuse University.
    10. David S. Bates, 1995. "Testing Option Pricing Models," NBER Working Papers 5129, National Bureau of Economic Research, Inc.
    11. Cao, Melanie, 2001. "Systematic jump risks in a small open economy: simultaneous equilibrium valuation of options on the market portfolio and the exchange rate," Journal of International Money and Finance, Elsevier, vol. 20(2), pages 191-218, April.
    12. Campa, Jose M. & Chang, P. H. Kevin & Refalo, James F., 2002. "An options-based analysis of emerging market exchange rate expectations: Brazil's Real Plan, 1994-1999," Journal of Development Economics, Elsevier, pages 227-253.
    13. Sanjiv Ranjan Das & Rangarajan K. Sundaram, 1997. "Taming the Skew: Higher-Order Moments in Modeling Asset Price Processes in Finance," NBER Working Papers 5976, National Bureau of Economic Research, Inc.
    14. 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.
    15. Chihwa Kao, 2001. "Some New Approaches to Formulate and Estimate Friction-Bernoulli Jump Diffusion and Friction-GARCH," Center for Policy Research Working Papers 35, Center for Policy Research, Maxwell School, Syracuse University.
    16. Walter H. Fisher & Christian Keuschnigg, 2002. "Public Policy for Efficient Education," Metroeconomica, Wiley Blackwell, pages 361-390.
    17. Shastri, Kuldeep & Sirodom, Kulpatra, 1995. "An empirical test of the BS and CSR valuation models for warrants listed in Thailand," Pacific-Basin Finance Journal, Elsevier, pages 465-483.
    18. Hsuan-Chu Lin & Ren-Raw Chen & Oded Palmon, 2016. "Explaining the volatility smile: non-parametric versus parametric option models," Review of Quantitative Finance and Accounting, Springer, vol. 46(4), pages 907-935, May.
    19. Barone-Adesi, Giovanni & Rasmussen, Henrik & Ravanelli, Claudia, 2005. "An option pricing formula for the GARCH diffusion model," Computational Statistics & Data Analysis, Elsevier, pages 287-310.
    20. El-Mekkaoui, Mazen & Flood, Mark D., 1998. "Put-call parity revisited: intradaily tests in the foreign currency options market," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 8(3-4), pages 357-376, December.
    21. Vajanne, Laura, . "The Exchange Rate Under Target Zones," ETLA A, The Research Institute of the Finnish Economy, number 16.
    22. 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.

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