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Multi-asset barrier options and occupation time derivatives

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  • Hoi Ying Wong
  • Yue-Kuen Kwok
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    Abstract

    A general framework is formulated to price various forms of European style multi-asset barrier options and occupation time derivatives with one state variable having the barrier feature. Based on the lognormal assumption of asset price processes, the splitting direction technique is developed for deriving the joint density functions of multi-variate terminal asset prices with provision for single or double barriers on one of the state variables. A systematic procedure is illustrated whereby multi-asset option price formulas can be deduced in a systematic manner as extensions from those of their one-asset counterparts. The formulation has been applied successfully to derive the analytic price formulas of multi-asset options with external two-sided barriers and sequential barriers, multi-asset step options and delayed barrier options. The successful numerical implementation of these price formulas is demonstrated.

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    File URL: http://www.tandfonline.com/doi/abs/10.1080/1350486032000107352
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    Bibliographic Info

    Article provided by Taylor & Francis Journals in its journal Applied Mathematical Finance.

    Volume (Year): 10 (2003)
    Issue (Month): 3 ()
    Pages: 245-266

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    Handle: RePEc:taf:apmtfi:v:10:y:2003:i:3:p:245-266

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    Web page: http://www.tandfonline.com/RAMF20

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    Related research

    Keywords: multi-asset barrier options; occupation time derivatives; splitting direction technique;

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    Cited by:
    1. Tristan Guillaume, 2011. "Some sequential boundary crossing results for geometric Brownian motion and their applications in financial engineering," Post-Print hal-00924277, HAL.

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