Absence of Arbitrage in Markets with Proportional Transaction Costs
DOI:
https://doi.org/10.15678/ZNUEK.2015.0937.0109Keywords:
financial markets models, arbitrage, transaction costs, simple trading strategiesAbstract
The aim of the paper was to present in a clear and unified way various results concerning the absence of arbitrage in the modelling of financial markets with proportional transaction costs. The absence of weak and strict arbitrage opportunities criteria in a finite time horizon discrete time market model are given. Sufficient conditions for the absence of simple arbitrage (i.e. arbitrage over simple investment strategies) in a continuous time market model are presented. Special attention is devoted to transactions without short selling.
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References
Grigoriev P.G. [2005], On Low Dimensional Case in the Fundamental Asset Pricing Theorem with Transaction Costs, „Statistics and Decisions", vol. 23, http://dx.doi.org/10.1524/stnd.2005.23.1.33.
Guasoni P., Rásonyi M., Schachermayer W. [2008], Consistent Price Systems and Face-Lifting Pricing under Transaction Costs, „The Annals of Applied Probability", vol. 18, http://dx.doi.org/10.1214/07-aap461.
Guasoni P., Rásonyi M., Schachermayer W. [2010], The Fundamental Theorem of Asset Pricing for Continuous Processes under Small Transaction Costs, „Annals of Finance", vol. 6.
Kabanov Y., Rásonyi M., Stricker Ch. [2002], No-arbitrage Criteria for Financial Markets with Efficient Friction, „Finance and Stochastics", vol. 6, http://dx.doi.org/10.1007/s007800100062.
Kabanov Y., Safarian M. [2009], Markets with Transaction Costs. Mathematical Theory, Springer-Verlag, Berlin Heidelberg.
Rygiel A., Stettner Ł. [2012], Arbitrage for Simple Strategies, „Applicationes Mathematicae", vol. 39, http://dx.doi.org/10.4064/am39-4-1.
Sayit H., Viens F. [2011], Arbitrage-free Models in Markets with Transaction Costs, „Electronic Communications in Probability", vol. 16, http://dx.doi.org/10.1214/ecp.v16-1671.
