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Kim and Omberg Revisited: The Duality Approach

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  • Anna Battauz
  • Marzia De Donno
  • Alessandro Sbuelz

Abstract

We give an alternative duality-based proof to the solution of the expected utility maximization problem analyzed by Kim and Omberg. In so doing, we also provide an example of incomplete-market optimal investment problem for which the duality approach is conducive to an explicit solution.

Suggested Citation

  • Anna Battauz & Marzia De Donno & Alessandro Sbuelz, 2015. "Kim and Omberg Revisited: The Duality Approach," Journal of Probability and Statistics, Hindawi, vol. 2015, pages 1-6, August.
  • Handle: RePEc:hin:jnljps:581854
    DOI: 10.1155/2015/581854
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    Cited by:

    1. Kamma, Thijs & Pelsser, Antoon, 2022. "Near-optimal asset allocation in financial markets with trading constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 766-781.
    2. Anna Battauz & Marzia Donno & Alessandro Sbuelz, 2017. "Reaching nirvana with a defaultable asset?," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 40(1), pages 31-52, November.
    3. Nasini, Stefano & Labbé, Martine & Brotcorne, Luce, 2022. "Multi-market portfolio optimization with conditional value at risk," European Journal of Operational Research, Elsevier, vol. 300(1), pages 350-365.
    4. Kirkby, J. Lars & Mitra, Sovan & Nguyen, Duy, 2020. "An analysis of dollar cost averaging and market timing investment strategies," European Journal of Operational Research, Elsevier, vol. 286(3), pages 1168-1186.

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