Kim and Omberg Revisited: The Duality Approach

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.

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Main Authors: Anna Battauz, Marzia De Donno, Alessandro Sbuelz
Format: Article
Language:English
Published: Wiley 2015-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2015/581854
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author Anna Battauz
Marzia De Donno
Alessandro Sbuelz
author_facet Anna Battauz
Marzia De Donno
Alessandro Sbuelz
author_sort Anna Battauz
collection DOAJ
description 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.
format Article
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issn 1687-952X
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publishDate 2015-01-01
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spelling doaj-art-38435c1e423d4caca80df63c11a3cf3a2025-08-20T02:38:58ZengWileyJournal of Probability and Statistics1687-952X1687-95382015-01-01201510.1155/2015/581854581854Kim and Omberg Revisited: The Duality ApproachAnna Battauz0Marzia De Donno1Alessandro Sbuelz2Department of Finance and IGIER, Bocconi University, Via Röntgen 1, 20136 Milan, ItalyDepartment of Economics, University of Parma, Via Kennedy 6, 43125 Parma, ItalyDepartment of Mathematical Sciences, Mathematical Finance and Econometrics, Catholic University of Milan, Via Necchi 9, 20123 Milan, ItalyWe 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.http://dx.doi.org/10.1155/2015/581854
spellingShingle Anna Battauz
Marzia De Donno
Alessandro Sbuelz
Kim and Omberg Revisited: The Duality Approach
Journal of Probability and Statistics
title Kim and Omberg Revisited: The Duality Approach
title_full Kim and Omberg Revisited: The Duality Approach
title_fullStr Kim and Omberg Revisited: The Duality Approach
title_full_unstemmed Kim and Omberg Revisited: The Duality Approach
title_short Kim and Omberg Revisited: The Duality Approach
title_sort kim and omberg revisited the duality approach
url http://dx.doi.org/10.1155/2015/581854
work_keys_str_mv AT annabattauz kimandombergrevisitedthedualityapproach
AT marziadedonno kimandombergrevisitedthedualityapproach
AT alessandrosbuelz kimandombergrevisitedthedualityapproach