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Cross-dynamics of volatility term structures implied by foreign exchange options

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  • Krylova, Elizaveta
  • Nikkinen, Jussi
  • Vähämaa, Sami

Abstract

This paper examines the cross-dynamics of volatility term structure slopes implied by foreign exchange options. The empirical findings demonstrate that a few principal components can explain a vast proportion of the variation in volatility term structure slopes across the major exchange rates. Furthermore, the results indicate that the euro is the dominant currency, as the implied volatility term structure of the euro is found to affect all the other volatility term structures, while the term structure of the euro appears to be virtually unaffected by the other currencies. Finally, our results provide evidence of significant nonlinearities in the relationship between the euro and the Swiss franc.

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  • Krylova, Elizaveta & Nikkinen, Jussi & Vähämaa, Sami, 2009. "Cross-dynamics of volatility term structures implied by foreign exchange options," Journal of Economics and Business, Elsevier, vol. 61(5), pages 355-375, September.
    • Handle: RePEc:eee:jebusi:v:61:y::i:5:p:355-375
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    1. Toda, Hiro Y & Phillips, Peter C B, 1993. "Vector Autoregressions and Causality," Econometrica, Econometric Society, vol. 61(6), pages 1367-1393, November.
    2. Helmut Frisch, 2003. "The euro and its consequences: What makes a currency strong?," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 31(1), pages 15-31, March.
    3. Matthias Fengler & Wolfgang Härdle & Christophe Villa, 2003. "The Dynamics of Implied Volatilities: A Common Principal Components Approach," Review of Derivatives Research, Springer, vol. 6(3), pages 179-202, October.
    4. Baeck, E.G. & Brock, W.A., 1992. "A Nonparametric Test for Independence of a Multivariate Time Series," Working papers 9204, Wisconsin Madison - Social Systems.
    5. Angela Black & David McMillan, 2004. "Long run trends and volatility spillovers in daily exchange rates," Applied Financial Economics, Taylor & Francis Journals, vol. 14(12), pages 895-907.
    6. Eui Jung Chang & Benjamin Miranda Tabak, 2007. "Are implied volatilities more informative? The Brazilian real exchange rate case," Applied Financial Economics, Taylor & Francis Journals, vol. 17(7), pages 569-576.
    7. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    8. Soku Byoun & Chuck C. Y. Kwok & Hun Y. Park, 2003. "Expectations Hypothesis of the Term Structure of Implied Volatility: Evidence from Foreign Currency and Stock Index Options," Journal of Financial Econometrics, Oxford University Press, vol. 1(1), pages 126-151.
    9. Mixon, Scott, 2007. "The implied volatility term structure of stock index options," Journal of Empirical Finance, Elsevier, vol. 14(3), pages 333-354, June.
    10. Carsten Detken & Philipp Hartmann, 2000. "The Euro and International Capital Markets," International Finance, Wiley Blackwell, vol. 3(1), pages 53-94, April.
    11. Pesaran, H. Hashem & Shin, Yongcheol, 1998. "Generalized impulse response analysis in linear multivariate models," Economics Letters, Elsevier, vol. 58(1), pages 17-29, January.
    12. Calvet, Laurent E. & Fisher, Adlai J. & Thompson, Samuel B., 2006. "Volatility comovement: a multifrequency approach," Journal of Econometrics, Elsevier, vol. 131(1-2), pages 179-215.
    13. Speight, Alan E. H. & McMillan, David G., 2001. "Volatility spillovers in East European black-market exchange rates," Journal of International Money and Finance, Elsevier, vol. 20(3), pages 367-378, June.
    14. Nikkinen, Jussi & Sahlstrom, Petri & Vahamaa, Sami, 2006. "Implied volatility linkages among major European currencies," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 16(2), pages 87-103, April.
    15. Mark Rubinstein., 1994. "Implied Binomial Trees," Research Program in Finance Working Papers RPF-232, University of California at Berkeley.
    16. Hiemstra, Craig & Jones, Jonathan D, 1994. "Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation," Journal of Finance, American Finance Association, vol. 49(5), pages 1639-1664, December.
    17. Campa, Jose Manuel & Chang, P. H. Kevin, 1998. "The forecasting ability of correlations implied in foreign exchange options," Journal of International Money and Finance, Elsevier, vol. 17(6), pages 855-880, December.
    18. Abad, Pilar & Novales, Alfonso, 2005. "An error correction factor model of term structure slopes in international swap markets," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 15(3), pages 229-254, July.
    19. Bollen, Nicolas P. B & Rasiel, Emma, 2003. "The performance of alternative valuation models in the OTC currency options market," Journal of International Money and Finance, Elsevier, vol. 22(1), pages 33-64, February.
    20. Fung, Hung-Gay & Patterson, Gary A., 1999. "Volatility linkage among currency futures markets during US trading and non-trading periods," Journal of Multinational Financial Management, Elsevier, vol. 9(2), pages 129-153, March.
    21. Peter Christoffersen & Stefano Mazzotta, 2005. "The Accuracy of Density Forecasts from Foreign Exchange Options," Journal of Financial Econometrics, Oxford University Press, vol. 3(4), pages 578-605.
    22. Wang, Alan T., 2007. "Does implied volatility of currency futures option imply volatility of exchange rates?," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 374(2), pages 773-782.
    23. Das, Sanjiv Ranjan & Sundaram, Rangarajan K., 1999. "Of Smiles and Smirks: A Term Structure Perspective," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 34(2), pages 211-239, June.
    24. Robert Mundell, 1998. "What the euro means for the dollar and the international Monetary system," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 26(3), pages 227-237, September.
    25. Inagaki, Kazuyuki, 2007. "Testing for volatility spillover between the British pound and the euro," Research in International Business and Finance, Elsevier, vol. 21(2), pages 161-174, June.
    26. Malik, Ali Khalil, 2005. "European exchange rate volatility dynamics: an empirical investigation," Journal of Empirical Finance, Elsevier, vol. 12(1), pages 187-215, January.
    27. 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.
    28. Emilio Dominguez & Alfonso Novales, 2002. "A factor model of term structure slopes in Eurocurrency markets," Applied Economics Letters, Taylor & Francis Journals, vol. 9(9), pages 585-593.
    29. Stein, Jeremy, 1989. " Overreactions in the Options Market," Journal of Finance, American Finance Association, vol. 44(4), pages 1011-1023, September.
    30. Kim, Minho & Kim, Minchoul, 2003. "Implied volatility dynamics in the foreign exchange markets," Journal of International Money and Finance, Elsevier, vol. 22(4), pages 511-528, August.
    31. Bonser-Neal, Catherine & Tanner, Glenn, 1996. "Central bank intervention and the volatility of foreign exchange rates: evidence from the options market," Journal of International Money and Finance, Elsevier, vol. 15(6), pages 853-878, December.
    32. 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.
    33. 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.
    34. Garman, Mark B. & Kohlhagen, Steven W., 1983. "Foreign currency option values," Journal of International Money and Finance, Elsevier, vol. 2(3), pages 231-237, December.
    35. Rubinstein, Mark, 1994. "Implied Binomial Trees," Journal of Finance, American Finance Association, vol. 49(3), pages 771-818, July.
    36. 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.
    37. Kearney, Colm & Patton, Andrew J, 2000. "Multivariate GARCH Modeling of Exchange Rate Volatility Transmission in the European Monetary System," The Financial Review, Eastern Finance Association, vol. 35(1), pages 29-48, February.
    38. Ederington, Louis H. & Lee, Jae Ha, 1996. "The Creation and Resolution of Market Uncertainty: The Impact of Information Releases on Implied Volatility," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 31(4), pages 513-539, December.
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    6. Athanasios P. Fassas & Nikolas Hourvouliades, 2019. "VIX Futures as a Market Timing Indicator," JRFM, MDPI, vol. 12(3), pages 1-9, July.
    7. Inagaki, Kazuyuki, 2007. "Testing for volatility spillover between the British pound and the euro," Research in International Business and Finance, Elsevier, vol. 21(2), pages 161-174, June.
    8. Yue Peng & Wing Ng, 2012. "Analysing financial contagion and asymmetric market dependence with volatility indices via copulas," Annals of Finance, Springer, vol. 8(1), pages 49-74, February.
    9. Xie, Qichang & Tang, Guoqiang, 2022. "Do market conditions interfere with the transmission of uncertainty from oil market to stock market? Evidence from a modified quantile-on-quantile approach," Energy Economics, Elsevier, vol. 114(C).
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    11. Liu, Ming-Lei & Ji, Qiang & Fan, Ying, 2013. "How does oil market uncertainty interact with other markets? An empirical analysis of implied volatility index," Energy, Elsevier, vol. 55(C), pages 860-868.

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    More about this item

    Keywords

    Implied volatility Volatility term structure Foreign exchange options;

    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies
    • F33 - International Economics - - International Finance - - - International Monetary Arrangements and Institutions
    • F40 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - General

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