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Endogenous Value and Financial Fragility


  • Gobert, Karine
  • González, Patrick
  • Lai, Alexandra
  • Poitevin, Michel


We construct a model of valuation to assess the financial fragility of a set of firms in a closed economy. A firm is identified with a possibly infinite random sequence of benefits. Firms with negative benefits in a given period are said to be in distress and need liquidity to refinance their projects. Those liquidities must be obtained from firms with positive benefits (which represent excess liquidities). Distressed projects are refinanced to the extent that their need for liquidity does not exceed their endogenous continuation value. This value is, in turn, affected by current and future refinancing possibilities. We provide a recursive procedure to compute this value when there is an aggregate liquidity constraint. We compare the allocation under a centralized coalition of firms with that of a decentralized competitive liquidity market. We show that the competitive market is more fragile because it does not value the possibility that a currently distressed firm could become a provider of liquidity some period in the future. That is, the market value of a firm candiverge from its social value due to externalities involving the ability of that firm to refinance other distressed firms in the future.

Suggested Citation

  • Gobert, Karine & González, Patrick & Lai, Alexandra & Poitevin, Michel, 2003. "Endogenous Value and Financial Fragility," Cahiers de recherche 0306, Université Laval - Département d'économique.
  • Handle: RePEc:lvl:laeccr:0306

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    References listed on IDEAS

    1. den Haan, Wouter J. & Ramey, Garey & Watson, Joel, 2003. "Liquidity flows and fragility of business enterprises," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1215-1241, September.
    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. Merton, Robert C, 1974. "On the Pricing of Corporate Debt: The Risk Structure of Interest Rates," Journal of Finance, American Finance Association, vol. 29(2), pages 449-470, May.
    4. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
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    More about this item


    Financial fragility; Liquidity constraints; value; bankruptcy;

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates
    • G13 - Financial Economics - - General Financial Markets - - - Contingent Pricing; Futures Pricing
    • G33 - Financial Economics - - Corporate Finance and Governance - - - Bankruptcy; Liquidation
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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