Mete Soner, H., Reppen, Max and Rochet, Jean-Charles (2018) Optimal dividend policies with random profitability. TSE Working Paper, n. 18-886, Toulouse

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Abstract

We study an optimal dividend problem under a bankruptcy constraint. Firms face a trade-off between potential bankruptcy and extraction of profits. In contrast to previous works, general cash flow drifts, including Ornstein–Uhlenbeck and CIR processes, are considered. We provide rigorous proofs of continuity of the value function, whence dynamic programming, as well as uniqueness of the solution to the Hamilton–Jacobi–Bellman equation, and study its qualitative properties both analytically and numerically. The value function is thus given by a nonlinear PDE with a gradient constraint from below in one dimension. We find that the optimal strategy is both a barrier and a band strategy and that it includes voluntary liquidation in parts of the state space. Finally, we present and numerically study extensions of the model, including equity issuance and gambling for resurrection.

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• Optimal dividend policies with random profitability. (deposited 24 Apr 2018 09:35) [Currently Displayed]
  • Optimal dividend policies with random profitability. (deposited 25 Nov 2019 10:53)