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arxiv: math/0703825 · v3 · submitted 2007-03-28 · 🧮 math.OC · math.PR· q-fin.GN

A Unified Treatment of Dividend Payment Problems under Fixed Cost and Implementation Delays

classification 🧮 math.OC math.PRq-fin.GN
keywords corporationdelaysdividendfunctionimplementationprocessesvaluealgorithms
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In this paper we solve the dividend optimization problem for a corporation or a financial institution when the managers of the corporation are facing (regulatory) implementation delays. We consider several cash reservoir models for the firm including two mean-reverting processes, Ornstein-Uhlenbeck and square-root processes. We provide our solution via a new characterization of the value function for one-dimensional diffusions and provide easily implementable algorithms to find the optimal control and the value function.

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