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Pricing multi-asset contingent claims in a multi-dimensional binomial market

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  • Jarek Kk{e}dra
  • Assaf Libman
  • Victoria Steblovskaya

Abstract

We consider an incomplete multi-asset binomial market model. We prove that for a wide class of contingent claims the extremal multi-step martingale measure is a power of the corresponding single-step extremal martingale measure. This allows for closed form formulas for the bounds of a no-arbitrage contingent claim price interval. We construct a feasible algorithm for computing those boundaries as well as for the corresponding hedging strategies. Our results apply, for example, to European basket call and put options and Asian arithmetic average options.

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  • Jarek Kk{e}dra & Assaf Libman & Victoria Steblovskaya, 2021. "Pricing multi-asset contingent claims in a multi-dimensional binomial market," Papers 2106.13283, arXiv.org, revised Feb 2023.
    • Handle: RePEc:arx:papers:2106.13283
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    File URL: http://arxiv.org/pdf/2106.13283
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