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  • 标题:A Note on the Fundamental Theorem of Asset Pricing under Model Uncertainty
  • 本地全文:下载
  • 作者:Bayraktar, Erhan ; Zhang, Yuchong ; Zhou, Zhou
  • 期刊名称:Risks
  • 印刷版ISSN:2227-9091
  • 出版年度:2014
  • 卷号:2
  • 期号:4
  • 页码:425-433
  • 出版社:MDPI, Open Access Journal
  • 摘要: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.
  • 关键词:Model uncertainty; bid-ask prices for options; semi-static hedging; non-dominated collection of probability measures; Fundamental Theorem of Asset Pricing; super-hedging; robust no-arbitrage; non-redundant options
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