Utility Maximization in Imperfected Markets
AbstractWe analyze a problem of maximization of expected terminal wealth and consumption in markets with some ``imperfection'', such as constraints on the permitted portfolios, labor income, or/and nonlinearity of portfolio dynamics. By using general optional decomposition under constraints in multiplicative form, we develop a dual formulation. Then, under some conditions imposed on the model setting and the utility functions, we are able to prove an existence and uniqueness of an optimal solution to primal and to the corresponding dual problem by convex duality.
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Bibliographic InfoPaper provided by EconWPA in its series Finance with number 0301007.
Length: 41 pages
Date of creation: 21 Jan 2003
Date of revision: 22 Jan 2003
Note: Type of Document - Tex/WordPerfect/Handwritten; prepared on IBM PC - PC-TEX/UNIX Sparc TeX; to print on HP/PostScript/Franciscan monk; pages: 41; figures: included/request from author/draw your own
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Stochastic Optimization; Utility Optimization; Duality Theory; Convex and State Constraints; Optional Decomposition; Optimal Stopping;
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- G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
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