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Optimal Investment with Taxes: An Existence Result


Elyes Jouini


Universite de Paris 9 Dauphine - CEREMADE

Pierre-françois Koehl


National Institute of Statistics and Economic Studies (INSEE) - National School for Statistical and Economic Administration (ENSAE)

Nizar Touzi


Ecole Polytechnique, Paris


Journal of Mathematical Economics, Vol. 33, pp. 373-388, 2000

Abstract:     
We study the deterministic control problem of maximizing utility from consumption of an agent who seeks to optimally allocate his wealth between consumption and investment in a financial asset subject to taxes on benefits with first-in-first-out priority rule on sales. Short sales are prohibited and consumption is restricted to be non-negative. Such a problem has been introduced in a previous paper by the same authors where the first-order conditions have been derived. In this paper, we establish an existence result for this non-classical optimal control problem.

Keywords: Optimal investment with taxes, Weak compactness, Levy convergence

JEL Classification: C69, D11, D91

Accepted Paper Series


Date posted: August 15, 2007  

Suggested Citation

Jouini, Elyes, Koehl, Pierre-françois and Touzi, Nizar, Optimal Investment with Taxes: An Existence Result. Available at SSRN: http://ssrn.com/abstract=1007234

Contact Information

Elyes Jouini (Contact Author)
Universite de Paris 9 Dauphine - CEREMADE ( email )
Place du Marechal de Lattre de Tassigny
Paris Cedex 16, 75775
France
+ 33 1 44 05 46 75 (Phone)
+ 33 1 44 05 45 99 (Fax)
Pierre-françois Koehl
National Institute of Statistics and Economic Studies (INSEE) - National School for Statistical and Economic Administration (ENSAE) ( email )
92245 Malakoff Cedex
France
Nizar Touzi
Ecole Polytechnique, Paris ( email )
1 rue Descartes
Paris, 75005
France
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