Dual formulation of the utility maximization problem under transaction costs

Griselda Deelstra, Huyên Pham, Nizar Touzi

Research output: Contribution to journalArticlepeer-review


In the context of a general multivariate financial market with transaction costs, we consider the problem of maximizing expected utility from terminal wealth. In contrast with the existing literature, where only the liquidation value of the terminal portfolio is relevant, we consider general utility functions which are only required to be consistent with the structure of the transaction costs. An important feature of our analysis is that the utility function is not required to be C1. Such nonsmoothness is suggested by major natural examples. Our main result is an extension of the well-known dual formulation of the utility maximization problem to this context.

Original languageEnglish (US)
Pages (from-to)1353-1383
Number of pages31
JournalAnnals of Applied Probability
Issue number4
StatePublished - Nov 2001


  • Dual formulation
  • Nonsmooth analysis
  • Transaction costs
  • Utility maximization

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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