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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