No-arbitrage of second kind in countable markets with proportional transaction costs
Motivated by applications to bond markets, we propose a multivariate framework for discrete time financial markets with proportional transaction costs and a countable infinite number of tradable assets. We show that the no-arbitrage of second kind property (NA2 in short), recently introduced by Rasonyi for finite-dimensional markets, allows us to provide a closure property for the set of attainable claims in a very natural way, under a suitable efficient friction condition. We also extend to this context the equivalence between NA2 and the existence of many (strictly) consistent price systems.
|Date of creation:||Aug 2010|
|Date of revision:||Feb 2013|
|Publication status:||Published in Annals of Applied Probability 2013, Vol. 23, No. 2, 427-454|
|Contact details of provider:|| Web page: http://arxiv.org/|
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- D. Vallière & E. Denis & Y. Kabanov, 2009.
"Hedging of American options under transaction costs,"
Finance and Stochastics,
Springer, vol. 13(1), pages 105-119, January.
- Yuri Kabanov & Dimitri De Vallière & Emmanuel Denis, 2009. "Hedging of American options under transaction costs," Post-Print hal-00488688, HAL.
- M. De Donno & M. Pratelli, 2006. "A theory of stochastic integration for bond markets," Papers math/0602532, arXiv.org.
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