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A geometric approach to portfolio optimization in models with transaction costs

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Abstract

We consider a continuous-time stochastic optimization problem with infinite horizon, linear dynamics, and cone constraints which includes as a particular case portfolio selection problems under transaction costs for models of stock and currency markets. Using an appropriate geometric formalism we show that the Bellman function is the unique viscosity solution of a HJB equation. Copyright Springer-Verlag Berlin/Heidelberg 2004

Suggested Citation

  • Yuri Kabanov & Claudia Klüppelberg, 2004. "A geometric approach to portfolio optimization in models with transaction costs," Finance and Stochastics, Springer, vol. 8(2), pages 207-227, May.
  • Handle: RePEc:spr:finsto:v:8:y:2004:i:2:p:207-227
    DOI: 10.1007/s00780-003-0114-3
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    Cited by:

    1. Thomas Breuer & Martin Jandačka, 2008. "Portfolio selection with transaction costs under expected shortfall constraints," Computational Management Science, Springer, vol. 5(4), pages 305-316, October.
    2. Bruno Bouchard & Elyès Jouini, 2010. "Transaction Costs in Financial Models," Post-Print halshs-00703138, HAL.
    3. Erhan Bayraktar & Yuchong Zhang, 2014. "Stochastic Perron's Method for the Probability of lifetime ruin problem under transaction costs," Papers 1404.7406, arXiv.org, revised Nov 2014.
    4. Soren Christensen & Marc Wittlinger, 2012. "Optimal relaxed portfolio strategies for growth rate maximization problems with transaction costs," Papers 1209.0305, arXiv.org, revised Jun 2013.

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