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Path-dependent game options with Asian features

Author

Listed:
  • Guo, Peidong
  • Zhang, Jizhou
  • Wang, Qian

Abstract

The game option is a special American option, where the option seller has the early exercise right as well as the buyer. The purpose of this paper is to examine the pricing behaviors of a call game option with a floating strike, where the payoff of the option depends on the geometric average value of the underlying assets over the life of the option(i.e., the game option with the Asian feature). We obtain the integral expression of option pricing formula and provide the integral expression for the penalties paid by the option seller. In addition, we derive optimal exercise strategies and continuation regions of options. Finally, the influence of relevant parameters on liquidated damages is analyzed through numerical simulation.

Suggested Citation

  • Guo, Peidong & Zhang, Jizhou & Wang, Qian, 2020. "Path-dependent game options with Asian features," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    • Handle: RePEc:eee:chsofr:v:141:y:2020:i:c:s0960077920308055
    DOI: 10.1016/j.chaos.2020.110412
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    References listed on IDEAS

    as
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    More about this item

    Keywords

    Game options; Asian features; American options; Path dependent;
    All these keywords.

    JEL classification:

    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing

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