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Optimal dividend policies with random profitability

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  • Mete Soner, H.
  • Reppen, Max
  • Rochet, Jean-Charles

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.

Suggested Citation

  • Mete Soner, H. & Reppen, Max & Rochet, Jean-Charles, 2018. "Optimal dividend policies with random profitability," TSE Working Papers 18-886, Toulouse School of Economics (TSE).
  • Handle: RePEc:tse:wpaper:32401
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    References listed on IDEAS

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    1. Abel Cadenillas & Sudipto Sarkar & Fernando Zapatero, 2007. "Optimal Dividend Policy With Mean‐Reverting Cash Reservoir," Mathematical Finance, Wiley Blackwell, vol. 17(1), pages 81-109, January.
    2. Parsiad Azimzadeh & Peter A. Forsyth, 2015. "Weakly chained matrices, policy iteration, and impulse control," Papers 1510.03928, arXiv.org, revised Sep 2017.
    3. Hackbarth, Dirk & Miao, Jianjun & Morellec, Erwan, 2006. "Capital structure, credit risk, and macroeconomic conditions," Journal of Financial Economics, Elsevier, vol. 82(3), pages 519-550, December.
    4. Jun Cai & Hans Gerber & Hailiang Yang, 2006. "Optimal Dividends In An Ornstein-Uhlenbeck Type Model With Credit And Debit Interest," North American Actuarial Journal, Taylor & Francis Journals, vol. 10(2), pages 94-108.
    5. Akyildirim, Erdinç & Güney, I. Ethem & Rochet, Jean-Charles & Soner, H. Mete, 2014. "Optimal dividend policy with random interest rates," Journal of Mathematical Economics, Elsevier, vol. 51(C), pages 93-101.
    6. Julien Hugonnier & Semyon Malamud & Erwan Morellec, 2015. "Capital Supply Uncertainty, Cash Holdings, and Investment," Review of Financial Studies, Society for Financial Studies, vol. 28(2), pages 391-445.
    7. Johannes Muhle-Karbe & Max Reppen & H. Mete Soner, 2016. "A Primer on Portfolio Choice with Small Transaction Costs," Papers 1612.01302, arXiv.org, revised May 2017.
    8. Fama, Eugene F & French, Kenneth R, 2000. "Forecasting Profitability and Earnings," The Journal of Business, University of Chicago Press, vol. 73(2), pages 161-175, April.
    9. Radner, Roy & Shepp, Larry, 1996. "Risk vs. profit potential: A model for corporate strategy," Journal of Economic Dynamics and Control, Elsevier, vol. 20(8), pages 1373-1393, August.
    10. Pauli Murto & Marko Terviö, 2014. "Exit Options And Dividend Policy Under Liquidity Constraints," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 55, pages 197-221, February.
    11. Jean‐Paul Décamps & Thomas Mariotti & Jean‐Charles Rochet & Stéphane Villeneuve, 2011. "Free Cash Flow, Issuance Costs, and Stock Prices," Journal of Finance, American Finance Association, vol. 66(5), pages 1501-1544, October.
    12. Jean-Paul Decamps & Thomas Mariotti & Jean-Charles Rocher & Stephane Villeneuve, 2011. "Free Cash Flows, Inssuance Costs and Volatility," Post-Print halshs-00738437, HAL.
    13. Myers, Stewart C., 1977. "Determinants of corporate borrowing," Journal of Financial Economics, Elsevier, vol. 5(2), pages 147-175, November.
    14. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    15. Ronald W. Anderson & Andrew Carverhill, 2012. "Corporate Liquidity and Capital Structure," Review of Financial Studies, Society for Financial Studies, vol. 25(3), pages 797-837.
    16. Bolton, Patrick & Chen, Hui & Wang, Neng, 2013. "Market timing, investment, and risk management," Journal of Financial Economics, Elsevier, vol. 109(1), pages 40-62.
    17. Andrea Barth & Santiago Moreno–Bromberg & Oleg Reichmann, 2016. "A Non-stationary Model of Dividend Distribution in a Stochastic Interest-Rate Setting," Computational Economics, Springer;Society for Computational Economics, vol. 47(3), pages 447-472, March.
    18. Zhengjun Jiang & Martijn Pistorius, 2012. "Optimal dividend distribution under Markov regime switching," Finance and Stochastics, Springer, vol. 16(3), pages 449-476, July.
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    2. Calvia, Alessandro & Ferrari, Giorgio, 2021. "Nonlinear Filtering of Partially Observed Systems Arising in Singular Stochastic Optimal Control," Center for Mathematical Economics Working Papers 651, Center for Mathematical Economics, Bielefeld University.
    3. Giorgio Ferrari & Patrick Schuhmann & Shihao Zhu, 2021. "Optimal Dividends under Markov-Modulated Bankruptcy Level," Papers 2111.03724, arXiv.org.
    4. Bandini, Elena & de Angelis, Tiziano & Ferrari, Giorgio & Gozzi, Fausto, 2020. "Optimal Dividend Payout under Stochastic Discounting," Center for Mathematical Economics Working Papers 636, Center for Mathematical Economics, Bielefeld University.
    5. Alex S. L. Tse, 2020. "Dividend policy and capital structure of a defaultable firm," Mathematical Finance, Wiley Blackwell, vol. 30(3), pages 961-994, July.
    6. Stefan Kremsner & Alexander Steinicke & Michaela Szölgyenyi, 2020. "A Deep Neural Network Algorithm for Semilinear Elliptic PDEs with Applications in Insurance Mathematics," Risks, MDPI, Open Access Journal, vol. 8(4), pages 1-18, December.

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