Moawia, Alghalith (2009): A new approach to stochastic optimization: the investment-consumption model.
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Abstract
We derive general explicit solutions to the investment-consumption model without the restrictive assumption of HARA or exponential utility function and without reliance on the existing duality or variational methods.
| Item Type: | MPRA Paper |
|---|---|
| Original Title: | A new approach to stochastic optimization: the investment-consumption model |
| Language: | English |
| Keywords: | portfolio, investment, stochastic optimization |
| Subjects: | G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice; Investment Decisions |
| Item ID: | 19315 |
| Depositing User: | Moawia Alghalith |
| Date Deposited: | 16. Dec 2009 05:36 |
| Last Modified: | 16. Feb 2013 05:59 |
| References: | Alghalith, M. (2008). "Recent applications of theory of the firm under uncertainty." European Journal of Operational Research, 186, pp 443-450. Castaneda-Leyva, N. and D. Hernandez-Hernandez (2006). "Optimal consumption-investment problems in incomplete markets with random coefficients." Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC apos;05. 44th IEEE Conference, pp 6650 - 6655. Fleming, W. (2004). "Some optimal investment, production and consumption models." Contemporary Mathematics: Mathematics of Finance AMS-IMS-SIAM Proceedings, pp 115-124. Focardi, F. and F. Fabozzi (2004). " The Mathematics of Financial Modeling and Investment Management. " Wiley E-Series. Liu, J. (1999). Portfolio selection in stochastic environments. Working paper, Stanford University. 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. Pham, H. (2002). Smooth solutions to optimal investment models with stochastic volatilities and portfolio constraints. Applied Mathematics and Optimization, 46, pp 55-78. |
| URI: | http://mpra.ub.uni-muenchen.de/id/eprint/19315 |


