IDEAS home Printed from https://ideas.repec.org/a/spr/joecth/v60y2015i1p35-57.html
   My bibliography  Save this article

Martingale properties of self-enforcing debt

Author

Listed:
  • Florin Bidian
  • Camelia Bejan

Abstract

Not-too-tight debt limits are endogenous restrictions on debt that prevent agents from defaulting and opting for a specified continuation utility, while allowing for maximal credit expansion. For an agent facing some fixed prices for the Arrow securities, we prove that discounted not-too-tight debt limits must differ by a martingale. Copyright Springer-Verlag Berlin Heidelberg 2015

Suggested Citation

  • Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    • Handle: RePEc:spr:joecth:v:60:y:2015:i:1:p:35-57
    DOI: 10.1007/s00199-014-0832-0
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1007/s00199-014-0832-0
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1007/s00199-014-0832-0?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to look for a different version below or search for a different version of it.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Kocherlakota, Narayana, 2008. "Injecting rational bubbles," Journal of Economic Theory, Elsevier, vol. 142(1), pages 218-232, September.
    2. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    3. Kevin X.D. Huang & Jan Werner, 2000. "Asset price bubbles in Arrow-Debreu and sequential equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 15(2), pages 253-278.
    4. Bejan, Camelia & Bidian, Florin, 2014. "Bubbles and trading in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 137-144.
    5. Koeppl, Thorsten V., 2007. "Optimal dynamic risk sharing when enforcement is a decision variable," Journal of Economic Theory, Elsevier, vol. 134(1), pages 34-60, May.
    6. Kehoe, Timothy J & Levine, David K, 2001. "Liquidity Constrained Markets versus Debt Constrained Markets," Econometrica, Econometric Society, vol. 69(3), pages 575-598, May.
    7. Kocherlakota, Narayana R., 1992. "Bubbles and constraints on debt accumulation," Journal of Economic Theory, Elsevier, vol. 57(1), pages 245-256.
    8. Alvarez, Fernando & Jermann, Urban J, 2001. "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," The Review of Financial Studies, Society for Financial Studies, vol. 14(4), pages 1117-1151.
    9. Gaetano Bloise & Pietro Reichlin & Mario Tirelli, 2013. "Fragility of Competitive Equilibrium with Risk of Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 271-295, April.
    10. David Croix & Philippe Michel, 2007. "Education and growth with endogenous debt constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 33(3), pages 509-530, December.
    11. Bulow, Jeremy & Rogoff, Kenneth, 1989. "Sovereign Debt: Is to Forgive to Forget?," American Economic Review, American Economic Association, vol. 79(1), pages 43-50, March.
    12. Azariadis, Costas & Kaas, Leo, 2013. "Endogenous credit limits with small default costs," Journal of Economic Theory, Elsevier, vol. 148(2), pages 806-824.
    13. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    14. Woodford, Michael, 1990. "Public Debt as Private Liquidity," American Economic Review, American Economic Association, vol. 80(2), pages 382-388, May.
    15. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    16. Xavier Mateos-Planas & Giulio Seccia, 2013. "Consumer Default with Complete Markets: Default-based Pricing and Finite Punishment," Working Papers 711, Queen Mary University of London, School of Economics and Finance.
    17. Xavier Mateos-Planas & Giulio Seccia, 2013. "Consumer Default with Complete Markets: Default-based Pricing and Finite Punishment," Working Papers 711, Queen Mary University of London, School of Economics and Finance.
    18. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 60(4), pages 865-888.
    19. Jürgen Eichberger & Klaus Rheinberger & Martin Summer, 2014. "Credit risk in general equilibrium," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 57(2), pages 407-435, October.
    20. Dirk Krueger & Fabrizio Perri, 2006. "Does Income Inequality Lead to Consumption Inequality? Evidence and Theory -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(1), pages 163-193.
    21. Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
    22. Fernando Alvarez & Urban J. Jermann, 2000. "Efficiency, Equilibrium, and Asset Pricing with Risk of Default," Econometrica, Econometric Society, vol. 68(4), pages 775-798, July.
    23. Weerachart Kilenthong, 2011. "Collateral premia and risk sharing under limited commitment," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 46(3), pages 475-501, April.
    24. Bidian, Florin & Bejan, Camelia, 2011. "Supplement to ``Martingale properties of self-enforcing debt''," MPRA Paper 36610, University Library of Munich, Germany, revised 12 Feb 2012.
    25. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    26. Narayana R. Kocherlakota, 1996. "Implications of Efficient Risk Sharing without Commitment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 63(4), pages 595-609.
    27. Thorsten Koeppl & Cyril Monnet & Erwan Quintin, 2014. "Efficient contract enforcement," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 161-183, January.
    28. Min Wang, 2014. "Optimal education policies under endogenous borrowing constraints," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 135-159, January.
    29. LeRoy,Stephen F. & Werner,Jan, 2014. "Principles of Financial Economics," Cambridge Books, Cambridge University Press, number 9781107024120, February.
    30. Gaetano Antinolfi & Costas Azariadis & James B. Bullard, 2007. "Monetary policy as equilibrium selection," Review, Federal Reserve Bank of St. Louis, vol. 89(Jul), pages 331-342.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    2. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2015. "Constrained Efficiency Without Commitment," Working Papers hal-01097121, HAL.
    3. Bidian, Florin & Bejan, Camelia, 2011. "Supplement to ``Martingale properties of self-enforcing debt''," MPRA Paper 36610, University Library of Munich, Germany, revised 12 Feb 2012.
    4. Gaetano Bloise & Pietro Reichlin & Mario Tirelli, 2013. "Fragility of Competitive Equilibrium with Risk of Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 271-295, April.
    5. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    6. Nicolas Houy & Frédéric Jouneau & François Le Grand, 2020. "Defaulting firms and systemic risks in financial networks: a normative approach," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(2), pages 503-526, September.
    7. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2017. "Sovereign debt and incentives to default with uninsurable risks," Theoretical Economics, Econometric Society, vol. 12(3), September.
    8. Bejan, Camelia & Bidian, Florin, 2014. "Bubbles and trading in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 137-144.
    9. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2014. "Self-enforcing Debt, Reputation, and the Role of Interest Rates," Working Papers hal-01097114, HAL.
    10. Florin Bidian & Camelia Bejan, 2015. "Martingale properties of self-enforcing debt," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 60(1), pages 35-57, September.
    11. Neus Herranz & Stefan Krasa & Anne P. Villamil, 2015. "Entrepreneurs, Risk Aversion, and Dynamic Firms," Journal of Political Economy, University of Chicago Press, vol. 123(5), pages 1133-1176.
    12. Victor Filipe Martins da Rocha & Toan Phan & Yiannis Vailakis, 2019. "Debt Limits and Credit Bubbles in General Equilibrium," Post-Print hal-02429759, HAL.
    13. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2015. "On the Sovereign Debt Paradox," Working Papers hal-01097118, HAL.
    14. Filipe Martins da Rocha & Yiannis Vailakis, 2017. "Borrowing in Excess of Natural Ability to Repay," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 23, pages 42-59, January.
    15. Jan Werner, 2012. "Rational Asset Pricing Bubbles Revisited," 2012 Meeting Papers 1165, Society for Economic Dynamics.
    16. V. Filipe Martins-da-Rocha & Yiannis Vailakis, 2017. "On the sovereign debt paradox," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(4), pages 825-846, December.
    17. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    18. Bloise, Gaetano & Vailakis, Yiannis, 2024. "Sovereign debt crises and low interest rates," Journal of International Economics, Elsevier, vol. 150(C).
    19. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.

    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. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    2. Bejan, Camelia & Bidian, Florin, 2010. "Limited enforcement, bubbles and trading in incomplete markets," MPRA Paper 36819, University Library of Munich, Germany, revised 20 Feb 2012.
    3. Gaetano Bloise & Pietro Reichlin & Mario Tirelli, 2013. "Fragility of Competitive Equilibrium with Risk of Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 16(2), pages 271-295, April.
    4. Bejan, Camelia & Bidian, Florin, 2014. "Bubbles and trading in incomplete markets," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 137-144.
    5. Victor Filipe Martins da Rocha & Toan Phan & Yiannis Vailakis, 2019. "Debt Limits and Credit Bubbles in General Equilibrium," Post-Print hal-02429759, HAL.
    6. Gaetano Bloise, 2013. "The structure of competitive equilibrium with unsecured debt," Departmental Working Papers of Economics - University 'Roma Tre' 0187, Department of Economics - University Roma Tre.
    7. Bidian, Florin, 2015. "Portfolio constraints, differences in beliefs and bubbles," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 317-326.
    8. V. Filipe Martins-Da-Rocha & Toan Phan & Yiannis Vailakis, 2022. "Pecuniary Externalities in Competitive Economies with Limited Pledgeability," Working Papers hal-03909596, HAL.
    9. Bloise, G. & Citanna, A., 2019. "Asset shortages, liquidity and speculative bubbles," Journal of Economic Theory, Elsevier, vol. 183(C), pages 952-990.
    10. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
    11. Miao, Jianjun & Zhang, Yuzhe, 2015. "A duality approach to continuous-time contracting problems with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 929-988.
    12. Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
    13. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    14. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    15. Azariadis, Costas & Kaas, Leo, 2013. "Endogenous credit limits with small default costs," Journal of Economic Theory, Elsevier, vol. 148(2), pages 806-824.
    16. Christian Hellwig, 2003. "Bubbles and Self-enforcing Debt (October 2006, with Guido Lorenzoni)," UCLA Economics Online Papers 229, UCLA Department of Economics.
    17. Bosi, Stefano & Le Van, Cuong & Pham, Ngoc-Sang, 2017. "Asset bubbles and efficiency in a generalized two-sector model," Mathematical Social Sciences, Elsevier, vol. 88(C), pages 37-48.
    18. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2018. "Sustainable Debt," CRETA Online Discussion Paper Series 45, Centre for Research in Economic Theory and its Applications CRETA.
    19. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2015. "On the Sovereign Debt Paradox," Working Papers hal-01097118, HAL.
    20. S. Viswanathan & Adriano A. Rampini, 2008. "Collateral, Financial Intermediation, and the Distribution of Debt Capacity," 2008 Meeting Papers 116, Society for Economic Dynamics.

    More about this item

    Keywords

    Endogenous debt limits; Not-too-tight constraints; Limited enforcement; G11; G12; D53; E44;
    All these keywords.

    JEL classification:

    • E0 - Macroeconomics and Monetary Economics - - General
    • G0 - Financial Economics - - General

    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:spr:joecth:v:60:y:2015:i:1:p:35-57. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.