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This article is cited in 7 scientific papers (total in 7 papers)
Constructive no-arbitrage criterion under transaction costs in the case of finite discrete time
D. B. Rokhlin Rostov State University
Abstract:
We obtain a constructive criterion for robust no-arbitrage in discrete-time market models with transaction costs. This criterion is expressed in terms of the supports of the regular conditional upper distributions of the solvency cones. We also consider the model with a bank account. A method for construction of arbitrage strategies is proposed.
Keywords:
robust no-arbitrage, transaction costs, arbitrage portfolios, measurable set-valued maps, supports of the regular conditional distributions.
Received: 15.11.2005 Revised: 08.02.2006
Citation:
D. B. Rokhlin, “Constructive no-arbitrage criterion under transaction costs in the case of finite discrete time”, Teor. Veroyatnost. i Primenen., 52:1 (2007), 41–59; Theory Probab. Appl., 52:1 (2008), 93–107
Linking options:
https://www.mathnet.ru/eng/tvp3https://doi.org/10.4213/tvp3 https://www.mathnet.ru/eng/tvp/v52/i1/p41
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Abstract page: | 554 | Full-text PDF : | 191 | References: | 105 | First page: | 31 |
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