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Necessary conditions for the existence of utility maximizing strategies under transaction costs

  • Paolo Guasoni und Walter Schachermayer
Veröffentlicht/Copyright: 25. September 2009
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Abstract

For any utility function with asymptotic elasticity equal to one, we construct a market model in countable discrete time, such that the utility maximization problem with proportional transaction costs admits no solution.

This proves that the necessity of the reasonable asymptotic elasticity condition, established by Kramkov and Schachermayer in the frictionless case, remains also valid in the presence of transaction costs.

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Published Online: 2009-09-25
Published in Print: 2004-02-01

© 2004 Oldenbourg Wissenschaftsverlag GmbH

Heruntergeladen am 21.12.2025 von https://www.degruyterbrill.com/document/doi/10.1524/stnd.22.2.153.49129/html
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