Alghalith, Moawia (2009): General closed-form solutions to the dynamic optimization problem in incomplete markets.
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Abstract
In this paper, we provide general closed-form solutions to the incomplete-market random-coefficient dynamic optimization problem without the restrictive assumption of exponential or HARA utility function. Moreover, we explicitly express the optimal portfolio as a function of the optimal consumption and show the impact of optimal consumption on the optimal portfolio.
Item Type: | MPRA Paper |
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Original Title: | General closed-form solutions to the dynamic optimization problem in incomplete markets |
Language: | English |
Keywords: | portfolio, incomplete markets, stochastic, dynamic,investment, consumption |
Subjects: | D - Microeconomics > D2 - Production and Organizations > D21 - Firm Behavior: Theory G - Financial Economics > G1 - General Financial Markets > G11 - Portfolio Choice ; Investment Decisions |
Item ID: | 21950 |
Depositing User: | Moawia Alghalith |
Date Deposited: | 12 Apr 2010 02:02 |
Last Modified: | 26 Sep 2019 15:41 |
References: | Cvitanic, J. and Zapatero, F. (2004). Introduction to the economics and mathematics of financial markets, MIT Press, Cambridge, MA. Fleming, W. (2004). "Some optimal investment, production and consumption models." Contemporary Mathematics, 351, pp 115-124. Focardi, F. and F. Fabozzi (2004). " The Mathematics of Financial Modeling and Investment Management. " Wiley E-Series. 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: | https://mpra.ub.uni-muenchen.de/id/eprint/21950 |
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General closed-form solutions to the dynamic optimization problem in incomplete markets. (deposited 16 Dec 2009 05:43)
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