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A Note on the Term Structure of Implied Volatilities for the Yen/U.S. Dollar Currency Option

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  • Nobuya Takezawa
  • Noriyoshi Shiraishi

Abstract

This paper tests the relationship between short dated and long dated implied volatilities obtained from Tokyo market currency option prices by employing three different volatility models: a mean reverting model, a GARCH model, and an EGARCH model. We document evidence that long dated average expected volatility is higher than that predicted by the term structure relationship during the dramatic appreciation of yen/dollar exchange in the early 1990's. Copyright Kluwer Academic Publishers 1998

Suggested Citation

  • Nobuya Takezawa & Noriyoshi Shiraishi, 1998. "A Note on the Term Structure of Implied Volatilities for the Yen/U.S. Dollar Currency Option," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 5(3), pages 227-236, November.
    • Handle: RePEc:kap:apfinm:v:5:y:1998:i:3:p:227-236
    DOI: 10.1023/A:1010041822931
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    1. Simon Benninga, 1989. "Numerical Techniques in Finance," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262521415, April.
    2. Melino, Angelo & Turnbull, Stuart M., 1990. "Pricing foreign currency options with stochastic volatility," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 239-265.
    3. Jorion, Philippe, 1995. "Predicting Volatility in the Foreign Exchange Market," Journal of Finance, American Finance Association, vol. 50(2), pages 507-528, June.
    4. Scott, Elton & Tucker, Alan L., 1989. "Predicting currency return volatility," Journal of Banking & Finance, Elsevier, vol. 13(6), pages 839-851, December.
    5. Louis O. Scott, 1992. "The Information Content of Prices in Derivative Security Markets," IMF Staff Papers, Palgrave Macmillan, vol. 39(3), pages 596-625, September.
    6. Bollerslev, Tim, 1986. "Generalized autoregressive conditional heteroskedasticity," Journal of Econometrics, Elsevier, vol. 31(3), pages 307-327, April.
    7. Johnson, Herb & Shanno, David, 1987. "Option Pricing when the Variance Is Changing," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(2), pages 143-151, June.
    8. Xu, Xinzhong & Taylor, Stephen J., 1995. "Conditional volatility and the informational efficiency of the PHLX currency options market," Journal of Banking & Finance, Elsevier, vol. 19(5), pages 803-821, August.
    9. Canina, Linda & Figlewski, Stephen, 1993. "The Informational Content of Implied Volatility," The Review of Financial Studies, Society for Financial Studies, vol. 6(3), pages 659-681.
    10. Newey, Whitney & West, Kenneth, 2014. "A simple, positive semi-definite, heteroscedasticity and autocorrelation consistent covariance matrix," Applied Econometrics, Russian Presidential Academy of National Economy and Public Administration (RANEPA), vol. 33(1), pages 125-132.
    11. Scott, Louis O., 1987. "Option Pricing when the Variance Changes Randomly: Theory, Estimation, and an Application," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(4), pages 419-438, December.
    12. Poterba, James M & Summers, Lawrence H, 1986. "The Persistence of Volatility and Stock Market Fluctuations," American Economic Review, American Economic Association, vol. 76(5), pages 1142-1151, December.
    13. Hiroto Kuwahara & Terry A. Marsh, 1992. "The Pricing of Japanese Equity Warrants," Management Science, INFORMS, vol. 38(11), pages 1610-1641, November.
    14. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    15. Wiggins, James B., 1987. "Option values under stochastic volatility: Theory and empirical estimates," Journal of Financial Economics, Elsevier, vol. 19(2), pages 351-372, December.
    16. Heynen, Ronald & Kemna, Angelien & Vorst, Ton, 1994. "Analysis of the Term Structure of Implied Volatilities," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(1), pages 31-56, March.
    17. repec:bla:jfinan:v:44:y:1989:i:4:p:1011-23 is not listed on IDEAS
    18. Xu, Xinzhong & Taylor, Stephen J., 1994. "The Term Structure of Volatility Implied by Foreign Exchange Options," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 29(1), pages 57-74, March.
    19. William D. Harrington, 1988. "The Developing Legal and Regulatory Status of Foreign Currency Options: A Comparative Study," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 6(2), pages 29-74, November.
    20. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    21. Campa, Jose Manuel & Chang, P H Kevin, 1995. "Testing the Expectations Hypothesis on the Term Structure of Volatilities in Foreign Exchange Options," Journal of Finance, American Finance Association, vol. 50(2), pages 529-547, June.
    22. Hull, John C & White, Alan D, 1987. "The Pricing of Options on Assets with Stochastic Volatilities," Journal of Finance, American Finance Association, vol. 42(2), pages 281-300, June.
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