A Note on the Fundamental Theorem of Asset Pricing under Model Uncertainty

Autor: Erhan Bayraktar, Yuchong Zhang, Zhou Zhou
Jazyk: angličtina
Rok vydání: 2014
Předmět:
Zdroj: Risks, Vol 2, Iss 4, Pp 425-433 (2014)
Druh dokumentu: article
ISSN: 2227-9091
DOI: 10.3390/risks2040425
Popis: We show that the recent results on the Fundamental Theorem of Asset Pricing and the super-hedging theorem in the context of model uncertainty can be extended to the case in which the options available for static hedging (hedging options) are quoted with bid-ask spreads. In this set-up, we need to work with the notion of robust no-arbitrage which turns out to be equivalent to no-arbitrage under the additional assumption that hedging options with non-zero spread are non-redundant. A key result is the closedness of the set of attainable claims, which requires a new proof in our setting.
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