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An Optimal Dividend and Investment Control Problem under Debt Constraints

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.
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Contributor : Vathana Ly Vath <>
Submitted on : Monday, December 19, 2011 - 11:54:04 AM
Last modification on : Wednesday, December 9, 2020 - 3:17:11 PM
Long-term archiving on: : Tuesday, March 20, 2012 - 2:27:01 AM


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  • HAL Id : hal-00653293, version 1


Etienne Chevalier, Vathana Ly Vath, Simone Scotti. An Optimal Dividend and Investment Control Problem under Debt Constraints. 2011. ⟨hal-00653293⟩



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