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Learning about profitability and dynamic cash management

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  • Décamps, Jean-Paul
  • Villeneuve, Stéphane

Abstract

We study a dynamic model of a rm whose shareholders learn about its profitability, face costs of external nancing and costs of holding cash. The shareholders' problem involves a notoriously challenging singular stochastic control problem with a two-dimensional degenerate diffusion process. We solve it by means of an explicit construction of its value function, and derive a corporate life-cycle with two stages: a "probation stage" where it is never optimal for the firm to issue new shares, and a "mature stage" where the firm resorts to the market whenever needed. The cash target level is non-monotonic in the belief about the profitability and reaches its highest value on the edge between the two stages. It follows new insights on the firm's volatility and its payout ratio which depend on the firm's stage in its life cycle.

Suggested Citation

  • Décamps, Jean-Paul & Villeneuve, Stéphane, 2022. "Learning about profitability and dynamic cash management," TSE Working Papers 22-1301, Toulouse School of Economics (TSE).
    • Handle: RePEc:tse:wpaper:126577
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    1. Ramana Nanda & William R. Kerr, 2015. "Financing Innovation," Annual Review of Financial Economics, Annual Reviews, vol. 7(1), pages 445-462, December.
    2. Thomas W. Bates & Kathleen M. Kahle & René M. Stulz, 2009. "Why Do U.S. Firms Hold So Much More Cash than They Used To?," Journal of Finance, American Finance Association, vol. 64(5), pages 1985-2021, October.
    3. Patrick Bolton & Hui Chen & Neng Wang, 2011. "A Unified Theory of Tobin's q, Corporate Investment, Financing, and Risk Management," Journal of Finance, American Finance Association, vol. 66(5), pages 1545-1578, October.
    4. Bolton, Patrick & Wang, Neng & Yang, Jinqiang, 2019. "Investment under uncertainty with financial constraints," Journal of Economic Theory, Elsevier, vol. 184(C).
    5. Ľuboš Pástor & Veronesi Pietro, 2003. "Stock Valuation and Learning about Profitability," Journal of Finance, American Finance Association, vol. 58(5), pages 1749-1789, October.
    6. , & ,, 2014. "Dynamic contracts when agent's quality is unknown," Theoretical Economics, Econometric Society, vol. 9(3), September.
    7. John R. Graham & Mark T. Leary, 2018. "The Evolution of Corporate Cash," Journal of Applied Corporate Finance, Morgan Stanley, vol. 30(4), pages 36-60, December.
    8. Gryglewicz, Sebastian, 2011. "A theory of corporate financial decisions with liquidity and solvency concerns," Journal of Financial Economics, Elsevier, vol. 99(2), pages 365-384, February.
    9. Leland, Hayne E, 1994. "Corporate Debt Value, Bond Covenants, and Optimal Capital Structure," Journal of Finance, American Finance Association, vol. 49(4), pages 1213-1252, September.
    10. A. Max Reppen & Jean‐Charles Rochet & H. Mete Soner, 2020. "Optimal dividend policies with random profitability," Mathematical Finance, Wiley Blackwell, vol. 30(1), pages 228-259, January.
    11. Robert C. Merton, 2005. "Theory of rational option pricing," World Scientific Book Chapters, in: Sudipto Bhattacharya & George M Constantinides (ed.), Theory Of Valuation, chapter 8, pages 229-288, World Scientific Publishing Co. Pte. Ltd..
    12. Zhiguo He & Bin Wei & Jianfeng Yu & Feng Gao, 2017. "Optimal Long-Term Contracting with Learning," The Review of Financial Studies, Society for Financial Studies, vol. 30(6), pages 2006-2065.
    13. 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(1), pages 197-221, February.
    14. Stéphane Villeneuve & Jean-Paul Descamps, 2007. "Optimal Dividend Policy and Growth Option," Post-Print hal-00173171, HAL.
    15. Opler, Tim & Pinkowitz, Lee & Stulz, Rene & Williamson, Rohan, 1999. "The determinants and implications of corporate cash holdings," Journal of Financial Economics, Elsevier, vol. 52(1), pages 3-46, April.
    16. Peter M. Demarzo & Yuliy Sannikov, 2017. "Learning, Termination, and Payout Policy in Dynamic Incentive Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 182-236.
    17. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 1.
    18. 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.
    19. Hall, Bronwyn H. & Lerner, Josh, 2010. "The Financing of R&D and Innovation," Handbook of the Economics of Innovation, in: Bronwyn H. Hall & Nathan Rosenberg (ed.), Handbook of the Economics of Innovation, edition 1, volume 1, chapter 0, pages 609-639, Elsevier.
    20. Peter Egger & Christian Keuschnigg, 2015. "Innovation, Trade, and Finance," American Economic Journal: Microeconomics, American Economic Association, vol. 7(2), pages 121-157, May.
    21. James R. Brown & Steven M. Fazzari & Bruce C. Petersen, 2009. "Financing Innovation and Growth: Cash Flow, External Equity, and the 1990s R&D Boom," Journal of Finance, American Finance Association, vol. 64(1), pages 151-185, February.
    22. repec:zbw:bofrdp:urn:nbn:fi:bof-201512141480 is not listed on IDEAS
    23. Jean-Paul Décamps & Stéphane Villeneuve, 2007. "Optimal dividend policy and growth option," Finance and Stochastics, Springer, vol. 11(1), pages 3-27, January.
    24. Faff, Robert & Kwok, Wing Chun & Podolski, Edward J. & Wong, George, 2016. "Do corporate policies follow a life-cycle?," Journal of Banking & Finance, Elsevier, vol. 69(C), pages 95-107.
    25. Décamps, Jean-Paul & Gryglewicz, S. & Morellec, E. & Villeneuve, Stéphane, 2015. "Corporate Policies with Temporary and Permanent Shocks," IDEI Working Papers 843, Institut d'Économie Industrielle (IDEI), Toulouse, revised Mar 2016.
    26. Bolton, Patrick & Chen, Hui & Wang, Neng, 2013. "Market timing, investment, and risk management," Journal of Financial Economics, Elsevier, vol. 109(1), pages 40-62.
    27. DeAngelo, Harry & DeAngelo, Linda & Stulz, Rene M., 2006. "Dividend policy and the earned/contributed capital mix: a test of the life-cycle theory," Journal of Financial Economics, Elsevier, vol. 81(2), pages 227-254, August.
    28. Løkka, Arne & Zervos, Mihail, 2008. "Optimal dividend and issuance of equity policies in the presence of proportional costs," Insurance: Mathematics and Economics, Elsevier, vol. 42(3), pages 954-961, June.
    29. Andrei, Daniel & Mann, William & Moyen, Nathalie, 2019. "Why did the q theory of investment start working?," Journal of Financial Economics, Elsevier, vol. 133(2), pages 251-272.
    30. John R Graham & Mark T Leary, 2018. "The Evolution of Corporate Cash," The Review of Financial Studies, Society for Financial Studies, vol. 31(11), pages 4288-4344.
    31. Dumas, Bernard, 1991. "Super contact and related optimality conditions," Journal of Economic Dynamics and Control, Elsevier, vol. 15(4), pages 675-685, October.
    32. G.M. Constantinides & M. Harris & R. M. Stulz (ed.), 2003. "Handbook of the Economics of Finance," Handbook of the Economics of Finance, Elsevier, edition 1, volume 1, number 2.
    33. Decamps, Jean-Paul & Mariotti, Thomas, 2004. "Investment timing and learning externalities," Journal of Economic Theory, Elsevier, vol. 118(1), pages 80-102, September.
    34. Steven R. Grenadier & Andrey Malenko, 2010. "A Bayesian Approach to Real Options: The Case of Distinguishing between Temporary and Permanent Shocks," Journal of Finance, American Finance Association, vol. 65(5), pages 1949-1986, October.
    35. Julien Hugonnier & Semyon Malamud & Erwan Morellec, 2015. "Capital Supply Uncertainty, Cash Holdings, and Investment," The Review of Financial Studies, Society for Financial Studies, vol. 28(2), pages 391-445.
    36. 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.
    37. 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.
    38. repec:zbw:bofrdp:2015_028 is not listed on IDEAS
    39. DeAngelo, Harry & DeAngelo, Linda & Stulz, René M., 2010. "Seasoned equity offerings, market timing, and the corporate lifecycle," Journal of Financial Economics, Elsevier, vol. 95(3), pages 275-295, March.
    40. Bronwyn H. Hall & Nathan Rosenberg (ed.), 2010. "Handbook of the Economics of Innovation," Handbook of the Economics of Innovation, Elsevier, edition 1, volume 1, number 1.
    41. Strulovici, Bruno & Szydlowski, Martin, 2015. "On the smoothness of value functions and the existence of optimal strategies in diffusion models," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 1016-1055.
    42. Merton H. Miller & Franco Modigliani, 1961. "Dividend Policy, Growth, and the Valuation of Shares," The Journal of Business, University of Chicago Press, vol. 34, pages 411-411.
    43. Tiziano Angelis, 2020. "Optimal dividends with partial information and stopping of a degenerate reflecting diffusion," Finance and Stochastics, Springer, vol. 24(1), pages 71-123, January.
    44. Ronald W. Anderson & Andrew Carverhill, 2012. "Corporate Liquidity and Capital Structure," The Review of Financial Studies, Society for Financial Studies, vol. 25(3), pages 797-837.
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    More about this item

    Keywords

    Corporate cash management; Corporate life cycle; Learning; Singular control;
    All these keywords.

    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C11 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods and Methodology: General - - - Bayesian Analysis: General
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation
    • G35 - Financial Economics - - Corporate Finance and Governance - - - Payout Policy

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