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1 Laboratoire Analyse et Probabilités 2 LPMA - Laboratoire de Probabilités et Modèles Aléatoires

Abstract : This paper concerns with the problem of determining an optimal control on the dividend and investment policy of a firm. We allow the company to make an investment by increasing its outstanding indebtedness, which would impact its capital structure and risk profile, thus resulting in higher interest rate debts. We formulate this problem as a mixed singular and switching control problem and use a viscosity solution approach combined with the smooth-fit property to get qualitative descriptions of the solution. We further enrich our studies with a complete resolution of the problem in the two-regime case.

Keywords : switching problem debt constraints optimal singular stochastic control viscosity solution smooth-fit property system of variational inequalities debt constraints.

Autor: Etienne Chevalier - Vathana Ly Vath - Simone Scotti -



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