Moawia, Alghalith (2010): Forward dynamic utilities: a new model and new results.
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Abstract
We present a new model of forward dynamic utilities. In doing so, we provide unique (viscosity) solutions. In addition, we introduce Hausdorff-continuous viscosity solutions to the portfolio model.
Item Type: | MPRA Paper |
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Original Title: | Forward dynamic utilities: a new model and new results |
Language: | English |
Keywords: | forward dynamic utility, investment, portfolio, uncertainty, risk, stochastic |
Subjects: | G - Financial Economics > G1 - General Financial Markets > G10 - General D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D80 - General |
Item ID: | 21074 |
Depositing User: | Moawia Alghalith |
Date Deposited: | 04 Mar 2010 10:57 |
Last Modified: | 29 Sep 2019 04:03 |
References: | Bardi, M. and I. Capuzzo Dolcetta (1997). Optimal Control and Viscosity Solutions of Hamilton-Jacobi-Bellman Equations, Birkhauser Boston. Duffie, D. and T. Zariphopoulou (1993)."Optimal investment with undiversiable income risk," Mathematical Finance, 3, 135-148. Minani, F. (2007). Hausdorff continuous viscosity solutions to Hamilton-Jacobi equations and their numerical analysis. Unpublished Ph.D. thesis, University of Pretoria. Musiela, M. and T. Zariphopoulou (2009). "Portfolio choice under dynamic investment performance criteria." Quantitative Finance, 9, pp 161 - 170. Musiela, M. and T. Zariphopoulou (2007). "Investment and valuation under backward and forward dynamic exponential utilities in a stochastic factor model." in Advances in Mathematical Finance, Birkhauser, Boston, pp 303-334. Musiela, M. and T. Zariphopoulou (2005). "The backward and forward dynamic utilities and their associated systems: the case study of the binomial model." in Indifference Pricing. Princeton University Press. Zariphopoulou, T. (2009). "Optimal asset allocation in a stochastic factor model - an overview and open problems." Preprint. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/21074 |
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