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Utility maximization in incomplete markets with random endowment

Cvitanic, Jaksa and Schachermayer, Walter and Wang, Hui (2000) Utility maximization in incomplete markets with random endowment. Working Papers SFB "Adaptive Information Systems and Modelling in Economics and Management Science", 64. SFB Adaptive Information Systems and Modelling in Economics and Management Science, WU Vienna University of Economics and Business, Vienna.

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Abstract

This paper solves a long-standing open problem in mathematical finance: to find a solution to the problem of maximizing utility from terminal wealth of an agent with a random endowment process, in the general, semimartingale model for incomplete markets, and to characterize it via the associated dual problem. We show that this is indeed possible if the dual problem and its domain are carefully defined. More precisely, we show that the optimal terminal wealth is equal to the inverse of marginal utility evaluated at the solution to the dual problem, which is in the form of the regular part of an element of(L∞)* (the dual space of L∞). (author's abstract)

Item Type: Paper
Keywords: utility maximization / incomplete markets / random endowment / duality
Classification Codes: JEL G11
Divisions: Departments > Finance, Accounting and Statistics > Statistics and Mathematics
Departments > Informationsverarbeitung u Prozessmanag. > Informationswirtschaft
Departments > Informationsverarbeitung u Prozessmanag. > Produktionsmanagement > Taudes
Departments > Marketing > Service Marketing und Tourismus
Depositing User: Repository Administrator
Date Deposited: 11 Feb 2002 09:02
Last Modified: 01 Apr 2015 19:40
URI: http://epub.wu.ac.at/id/eprint/518

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