A new approach to stochastic optimization: the investment-consumption model

Moawia, Alghalith (2009): A new approach to stochastic optimization: the investment-consumption model.

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
• Language: English
• Keywords: portfolio, investment, stochastic optimization
• Subjects: G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions

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.