Continuous Time Portfolio Selection under Conditional Capital at Risk

Portfolio optimization with respect to different risk measures is of interest to both practitioners and academics. For there to be a well-defined optimal portfolio, it is important that the risk measure be coherent and quasiconvex with respect to the proportion invested in risky assets. In this pape...

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Main Authors: Gordana Dmitrasinovic-Vidovic, Ali Lari-Lavassani, Xun Li, Antony Ware
Format: Article
Language:English
Published: Wiley 2010-01-01
Series:Journal of Probability and Statistics
Online Access:http://dx.doi.org/10.1155/2010/976371
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author Gordana Dmitrasinovic-Vidovic
Ali Lari-Lavassani
Xun Li
Antony Ware
author_facet Gordana Dmitrasinovic-Vidovic
Ali Lari-Lavassani
Xun Li
Antony Ware
author_sort Gordana Dmitrasinovic-Vidovic
collection DOAJ
description Portfolio optimization with respect to different risk measures is of interest to both practitioners and academics. For there to be a well-defined optimal portfolio, it is important that the risk measure be coherent and quasiconvex with respect to the proportion invested in risky assets. In this paper we investigate one such measure—conditional capital at risk—and find the optimal strategies under this measure, in the Black-Scholes continuous time setting, with time dependent coefficients.
format Article
id doaj-art-3785b5b3beb442e0a53acf17a87f578e
institution Kabale University
issn 1687-952X
1687-9538
language English
publishDate 2010-01-01
publisher Wiley
record_format Article
series Journal of Probability and Statistics
spelling doaj-art-3785b5b3beb442e0a53acf17a87f578e2025-02-03T01:32:06ZengWileyJournal of Probability and Statistics1687-952X1687-95382010-01-01201010.1155/2010/976371976371Continuous Time Portfolio Selection under Conditional Capital at RiskGordana Dmitrasinovic-Vidovic0Ali Lari-Lavassani1Xun Li2Antony Ware3The Mathematical and Computational Finance Laboratory, University of Calgary, Calgary, AB, T2N 1N4, CanadaThe Mathematical and Computational Finance Laboratory, University of Calgary, Calgary, AB, T2N 1N4, CanadaThe Mathematical and Computational Finance Laboratory, University of Calgary, Calgary, AB, T2N 1N4, CanadaThe Mathematical and Computational Finance Laboratory, University of Calgary, Calgary, AB, T2N 1N4, CanadaPortfolio optimization with respect to different risk measures is of interest to both practitioners and academics. For there to be a well-defined optimal portfolio, it is important that the risk measure be coherent and quasiconvex with respect to the proportion invested in risky assets. In this paper we investigate one such measure—conditional capital at risk—and find the optimal strategies under this measure, in the Black-Scholes continuous time setting, with time dependent coefficients.http://dx.doi.org/10.1155/2010/976371
spellingShingle Gordana Dmitrasinovic-Vidovic
Ali Lari-Lavassani
Xun Li
Antony Ware
Continuous Time Portfolio Selection under Conditional Capital at Risk
Journal of Probability and Statistics
title Continuous Time Portfolio Selection under Conditional Capital at Risk
title_full Continuous Time Portfolio Selection under Conditional Capital at Risk
title_fullStr Continuous Time Portfolio Selection under Conditional Capital at Risk
title_full_unstemmed Continuous Time Portfolio Selection under Conditional Capital at Risk
title_short Continuous Time Portfolio Selection under Conditional Capital at Risk
title_sort continuous time portfolio selection under conditional capital at risk
url http://dx.doi.org/10.1155/2010/976371
work_keys_str_mv AT gordanadmitrasinovicvidovic continuoustimeportfolioselectionunderconditionalcapitalatrisk
AT alilarilavassani continuoustimeportfolioselectionunderconditionalcapitalatrisk
AT xunli continuoustimeportfolioselectionunderconditionalcapitalatrisk
AT antonyware continuoustimeportfolioselectionunderconditionalcapitalatrisk