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No-arbitrage criteria for financial markets with efficient friction

Christophe Stricker (**), (), Miklós Rásonyi (*), and Yuri Kabanov ()
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Christophe Stricker (**),: Laboratoire de Mathématiques, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon, Cedex France
Miklós Rásonyi (*),: Computer and Automation Institute of the Hungarian Academy of Sciences, 1111 Budapest, Hungary Manuscript
Yuri Kabanov: Laboratoire de Mathématiques, Université de Franche-Comté, 16 Route de Gray, 25030 Besançon, Cedex France

Authors registered in the RePEc Author Service: Юрий Михайлович Кабанов

Finance and Stochastics, 2002, vol. 6, issue 3, 382 pages

Abstract: We consider a multi-asset discrete-time model of a financial market with proportional transaction costs and efficient friction and prove necessary and sufficient conditions for the absence of arbitrage. Our main result is an extension of the Dalang-Morton-Willinger theorem. As an application, we establish a hedging theorem giving a description of the set of initial endowments which allows to super-replicate a given contingent claim.

Keywords: Transaction costs; arbitrage; hedging; solvency (search for similar items in EconPapers)
JEL-codes: G11 G13 (search for similar items in EconPapers)
Date: 2002-05-17
Note: received: February 2001; final version received: September 2001
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Citations: View citations in EconPapers (43)

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