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arXiv · 1808.02182

Optimal bail-out dividends problem with transaction cost and capital injection constraint

Mauricio Junca·Harold Moreno-Franco·José Luis Pérez
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Abstract

We consider the bail-out optimal dividend problem under fixed transaction costs for a L\'evy risk model. Furthermore, we consider the version with a constraint expected net present value of injected capital. To characterize the solution to the aforementioned models, we first solve the bail-out optimal dividend problem under transaction costs and capital injection and show the optimality of reflected (c1; c2)- policies. Next, we introduce the dual Lagrangian problem and show that the complementary slackness conditions are satisfied, characterizing the optimal Lagrange multiplier. Finally, we illustrate our findings with a series of numerical examples.

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Mauricio Junca, Harold Moreno-Franco, José Luis Pérez. 2018-08-07. Optimal bail-out dividends problem with transaction cost and capital injection constraint. https://arxiv.org/abs/1808.02182

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