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

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  • 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
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    References listed on IDEAS

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    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.
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    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.
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    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.
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