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

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

Abstract

This paper examines the cross-dynamics of volatility term structures implied by foreign exchange options. The data used in the empirical analysis consist of daily observations of implied volatilities for OTC options on the euro, Japanese yen, British pound, Swiss franc, and Canadian dollar, quoted against the U.S. dollar. The empirical findings demonstrate that two common factors can explain a vast proportion of the variation in volatility term structures across currencies. 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 reveal a rather deviant relation between the volatility term structures of the euro and Swiss franc by providing evidence of significant nonlinearities in the relationship between these two currencies. JEL Classification: E52, E58, F33, F40

Suggested Citation

  • Vähämaa, Sami & Krylova, Elizaveta & Nikkinen, Jussi, 2005. "Cross-dynamics of volatility term structures implied by foreign exchange options," Working Paper Series 530, European Central Bank.
    • Handle: RePEc:ecb:ecbwps:2005530
    Note: 450747
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    2. Ornelas, José Renato Haas & Mauad, Roberto Baltieri, 2019. "Implied volatility term structure and exchange rate predictability," International Journal of Forecasting, Elsevier, vol. 35(4), pages 1800-1813.
    3. Qian Han & Jufang Liang & Boqiang Wu, 2016. "Cross Economic Determinants of Implied Volatility Smile Dynamics: Three Major European Currency Options," European Financial Management, European Financial Management Association, vol. 22(5), pages 817-852, November.
    4. Peter K. Friz & Paul Gassiat & Paolo Pigato, 2022. "Short-dated smile under rough volatility: asymptotics and numerics," Quantitative Finance, Taylor & Francis Journals, vol. 22(3), pages 463-480, March.
    5. Äijö, Janne, 2008. "Implied volatility term structure linkages between VDAX, VSMI and VSTOXX volatility indices," Global Finance Journal, Elsevier, vol. 18(3), pages 290-302.
    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).
    10. Zhifang He & Jiaqi Chen & Fangzhao Zhou & Guoqing Zhang & Fenghua Wen, 2022. "Oil price uncertainty and the risk‐return relation in stock markets: Evidence from oil‐importing and oil‐exporting countries," International Journal of Finance & Economics, John Wiley & Sons, Ltd., vol. 27(1), pages 1154-1172, January.
    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

    foreign exchange options; implied volatility; volatility term structure;
    All these keywords.

    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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