IDEAS home Printed from https://ideas.repec.org/p/arx/papers/1411.7670.html
   My bibliography  Save this paper

Liquidity Management with Decreasing-returns-to-scale and Secured Credit Line

Author

Listed:
  • Erwan Pierre
  • St'ephane Villeneuve
  • Xavier Warin

Abstract

This paper examines the dividend and investment policies of a cash constrained firm that has access to costly external funding. We depart from the literature by allowing the firm to issue collateralized debt to increase its investment in productive assets resulting in a performance sensitive interest rate on debt. We formulate this problem as a bi-dimensional singular control problem and use both a viscosity solution approch and a verification technique to get qualitative properties of the value function. We further solve quasi-explicitly the control problem in two special cases.

Suggested Citation

  • Erwan Pierre & St'ephane Villeneuve & Xavier Warin, 2014. "Liquidity Management with Decreasing-returns-to-scale and Secured Credit Line," Papers 1411.7670, arXiv.org, revised Nov 2015.
    • Handle: RePEc:arx:papers:1411.7670
    as

    Download full text from publisher

    File URL: http://arxiv.org/pdf/1411.7670
    File Function: Latest version
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. Bjarne Højgaard & Søren Asmussen & Michael Taksar, 2000. "Optimal risk control and dividend distribution policies. Example of excess-of loss reinsurance for an insurance corporation," Finance and Stochastics, Springer, vol. 4(3), pages 299-324.
    5. Black, Fischer & Cox, John C, 1976. "Valuing Corporate Securities: Some Effects of Bond Indenture Provisions," Journal of Finance, American Finance Association, vol. 31(2), pages 351-367, May.
    6. 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.
    7. Gustavo Manso & Bruno Strulovici & Alexei Tchistyi, 2010. "Performance-Sensitive Debt," The Review of Financial Studies, Society for Financial Studies, vol. 23(5), pages 1819-1854.
    8. 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.
    9. Bjarne Hø Jgaard & Michael Taksar, 1999. "Controlling Risk Exposure and Dividends Payout Schemes:Insurance Company Example," Mathematical Finance, Wiley Blackwell, vol. 9(2), pages 153-182, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Pierre, Erwan & Villeneuve, Stéphane & Warin, Xavier, 2014. "Liquidity Management with Decreasing-returns-to-scale and Secured Credit Line," TSE Working Papers 14-542, Toulouse School of Economics (TSE), revised Jun 2016.
    2. Pierre, Erwan & Villeneuve, Stéphane & Warin, Xavier, 2014. "Capital Investment and Liquidity Management with collateralized debt," IDEI Working Papers 841, Institut d'Économie Industrielle (IDEI), Toulouse.
    3. Erwan Pierre & Stéphane Villeneuve & Xavier Warin, 2016. "Liquidity management with decreasing returns to scale and secured credit line," Finance and Stochastics, Springer, vol. 20(4), pages 809-854, October.
    4. Décamps, Jean-Paul & Villeneuve, Stéphane, 2022. "Learning about profitability and dynamic cash management," Journal of Economic Theory, Elsevier, vol. 205(C).
    5. Pierre, Erwan & Villeneuve, Stéphane & Warin, Xavier, 2016. "Numerical approximation of a cash-constrained firm value with investment opportunities," IDEI Working Papers 860, Institut d'Économie Industrielle (IDEI), Toulouse.
    6. Erwan Pierre & St'ephane Villeneuve & Xavier Warin, 2016. "Numerical approximation of a cash-constrained firm value with investment opportunities," Papers 1603.09049, arXiv.org, revised Oct 2016.
    7. Pierre, Erwan & Villeneuve, Stéphane & Warin, Xavier, 2016. "Numerical approximation of a cash-constrained firm value with investment opportunities," TSE Working Papers 16-637, Toulouse School of Economics (TSE).
    8. Jukka Isohätälä & Alistair Milne & Donald Robertson, 2020. "The Net Worth Trap: Investment and Output Dynamics in the Presence of Financing Constraints," Mathematics, MDPI, vol. 8(8), pages 1-32, August.
    9. Adam Ostaszewski, 2004. "‘Equity smirks’ and embedded options: the shape of a firm's value function," Accounting and Business Research, Taylor & Francis Journals, vol. 34(4), pages 301-321.
    10. Bjarne Højgaard & Michael Taksar, 2004. "Optimal dynamic portfolio selection for a corporation with controllable risk and dividend distribution policy," Quantitative Finance, Taylor & Francis Journals, vol. 4(3), pages 315-327.
    11. Isohätälä, Jukka & Milne, Alistair & Robertson, Donald, 2014. "The net worth trap: investment and output dynamics in the presence of financing constraints," Research Discussion Papers 26/2014, Bank of Finland.
    12. repec:zbw:bofrdp:2014_026 is not listed on IDEAS
    13. Décamps, Jean-Paul & Villeneuve, Stéphane, 2019. "Dynamics of cash holdings, learning about profitability, and access to the market," TSE Working Papers 19-1046, Toulouse School of Economics (TSE), revised Sep 2020.
    14. Décamps, Jean-Paul & Gryglewicz, S. & Morellec, E. & Villeneuve, Stéphane, 2015. "Corporate Policies with Temporary and Permanent Shocks," TSE Working Papers 15-552, Toulouse School of Economics (TSE), revised 15 Jun 2016.
    15. Bolton, Patrick & Wang, Neng & Yang, Jinqiang, 2019. "Investment under uncertainty with financial constraints," Journal of Economic Theory, Elsevier, vol. 184(C).
    16. Duffie, Darrell, 2005. "Credit risk modeling with affine processes," Journal of Banking & Finance, Elsevier, vol. 29(11), pages 2751-2802, November.
    17. Abel Elizalde, 2006. "Credit Risk Models II: Structural Models," Working Papers wp2006_0606, CEMFI.
    18. Décamps, Jean-Paul & Mariotti, Thomas & Rochet, Jean-Charles & Villeneuve, Stéphane, 2008. "Free Cash-Flow, Issuance Costs and Stock Price Volatility," IDEI Working Papers 518, Institut d'Économie Industrielle (IDEI), Toulouse.
    19. Decamps, Marc & De Schepper, Ann & Goovaerts, Marc, 2009. "Spectral decomposition of optimal asset-liability management," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 710-724, March.
    20. Décamps, Jean Paul & Morellec, Erwan & Villeneuve, Stéphane & Gryglewicz, Sebastian, 2015. "Corporate policies with permanent and temporary shocks," CEPR Discussion Papers 10420, C.E.P.R. Discussion Papers.
    21. Bolton, Patrick & Li, Ye & Wang, Neng & Yang, Jinqiang, 2020. "Dynamic Banking and the Value of Deposits," Working Paper Series 2020-13, Ohio State University, Charles A. Dice Center for Research in Financial Economics.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:arx:papers:1411.7670. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: arXiv administrators (email available below). General contact details of provider: http://arxiv.org/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.