%0 Journal Article %T Portfolio Optimization without the Self-Financing Assumption %A Moawia Alghalith %J Advances in Pure Mathematics %P 81-83 %@ 2160-0384 %D 2011 %I Scientific Research Publishing %R 10.4236/apm.2011.13018 %X In this paper, we relax the assumption of a self-financing strategy in the dynamic investment models. In so doing we provide smooth solutions and constrained viscosity solutions. %K Portfolio %K Investment %K Stochastic %K Viscosity Solutions %K Self Financing %U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=5196