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Basel II and the Risk Management of Basket Options with Time-Varying Correlations

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  • Amy S. K. Wong

    (Tinbergen Institute, Erasmus University Rotterdam)

Abstract

The impact of jumps, regime switches, and linearly changing correlation term structures on the risk management of basket options has been examined in this paper. First, the results show that there is an asymmetric correlation effect on the value-at-risk of basket options. Second, the time at which a correlation shock occurs during the life of an option is particularly important for hedged basket options. Finally, the square-rootof- time rule can lead to severe underestimation of value-at-risk for basket options with time-varying correlations – for some cases, even by a factor exceeding the minimum regulatory stress factor.

Suggested Citation

  • Amy S. K. Wong, 2006. "Basel II and the Risk Management of Basket Options with Time-Varying Correlations," International Journal of Central Banking, International Journal of Central Banking, vol. 2(4), December.
    • Handle: RePEc:ijc:ijcjou:y:2006:q:4:a:1
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    References listed on IDEAS

    as
    1. Danielsson, Jon & Zigrand, Jean-Pierre, 2006. "On time-scaling of risk and the square-root-of-time rule," Journal of Banking & Finance, Elsevier, vol. 30(10), pages 2701-2713, October.
    2. William N. Goetzmann & Lingfeng Li & K. Geert Rouwenhorst, 2005. "Long-Term Global Market Correlations," The Journal of Business, University of Chicago Press, vol. 78(1), pages 1-38, January.
    3. Francis X. Diebold & Andrew Hickman & Atsushi Inoue & Til Schuermann, 1997. "Converting 1-Day Volatility to h-Day Volatitlity: Scaling by Root-h is Worse Than You Think," Center for Financial Institutions Working Papers 97-34, Wharton School Center for Financial Institutions, University of Pennsylvania.
    4. Philippe Artzner & Freddy Delbaen & Jean‐Marc Eber & David Heath, 1999. "Coherent Measures of Risk," Mathematical Finance, Wiley Blackwell, vol. 9(3), pages 203-228, July.
    5. Clifford R Dammers & Robert N McCauley, 2006. "Basket weaving: the euromarket experience with basket currency bonds," BIS Quarterly Review, Bank for International Settlements, March.
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    More about this item

    JEL classification:

    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets
    • G21 - Financial Economics - - Financial Institutions and Services - - - Banks; Other Depository Institutions; Micro Finance Institutions; Mortgages

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