IDEAS home Printed from https://ideas.repec.org/p/fip/fedrwp/19-19.html
   My bibliography  Save this paper

Debt Limits and Credit Bubbles in General Equilibrium

Author

Listed:
  • V. Filipe Martins-da-Rocha
  • Toan Phan
  • Yiannis Vailakis

Abstract

We provide a novel characterization of self-enforcing debt limits in a general equilibrium framework of risk sharing with limited commitment, where defaulters are subject to recourse (a fractional loss of current and future endowments) and exclusion from future credit. We show that debt limits are exactly equal to the present value of recourse plus a credit bubble component. We provide applications to models of sovereign debt, private collateralized debt, and domestic public debt. Implications include an original equivalence mapping among distinct institutional arrangements, thereby clarifying the relationship between different enforcement mechanisms and the connection between asset and credit bubbles.

Suggested Citation

  • V. Filipe Martins-da-Rocha & Toan Phan & Yiannis Vailakis, 2019. "Debt Limits and Credit Bubbles in General Equilibrium," Working Paper 19-19, Federal Reserve Bank of Richmond.
  • Handle: RePEc:fip:fedrwp:19-19
    as

    Download full text from publisher

    File URL: https://www.richmondfed.org/-/media/richmondfedorg/publications/research/working_papers/2019/wp19-19.pdf
    File Function: Full text
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. Manuel S. Santos & Michael Woodford, 1997. "Rational Asset Pricing Bubbles," Econometrica, Econometric Society, vol. 65(1), pages 19-58, January.
    2. YiLi Chien & Hanno Lustig, 2010. "The Market Price of Aggregate Risk and the Wealth Distribution," Review of Financial Studies, Society for Financial Studies, vol. 23(4), pages 1596-1650, April.
    3. Alberto Martin & Jaume Ventura, 2012. "Economic Growth with Bubbles," American Economic Review, American Economic Association, vol. 102(6), pages 3033-3058, October.
    4. Siddhartha Biswas & Andrew Hanson & Toan Phan, 2020. "Bubbly Recessions," American Economic Journal: Macroeconomics, American Economic Association, vol. 12(4), pages 33-70, October.
    5. Bengt Holmstrom & Jean Tirole, 1998. "Private and Public Supply of Liquidity," Journal of Political Economy, University of Chicago Press, vol. 106(1), pages 1-40, February.
    6. Alvarez, Fernando & Jermann, Urban J, 2001. "Quantitative Asset Pricing Implications of Endogenous Solvency Constraints," Review of Financial Studies, Society for Financial Studies, vol. 14(4), pages 1117-1151.
    7. Paul A. Samuelson, 1958. "An Exact Consumption-Loan Model of Interest with or without the Social Contrivance of Money," Journal of Political Economy, University of Chicago Press, vol. 66, pages 467-467.
    8. Daisuke Ikeda & Toan Phan & Timothy Sablik, 2020. "Asset Bubbles and Global Imbalances," Richmond Fed Economic Brief, Federal Reserve Bank of Richmond, vol. 20, pages 1-4, January.
    9. 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.
    10. Calvo, Guillermo A, 1988. "Servicing the Public Debt: The Role of Expectations," American Economic Review, American Economic Association, vol. 78(4), pages 647-661, September.
    11. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    12. 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.
    13. Ricardo J Caballero & Emmanuel Farhi, 2018. "The Safety Trap," Review of Economic Studies, Oxford University Press, vol. 85(1), pages 223-274.
    14. Ricardo J. Caballero & Emmanuel Farhi & Pierre-Olivier Gourinchas, 2008. "An Equilibrium Model of "Global Imbalances" and Low Interest Rates," American Economic Review, American Economic Association, vol. 98(1), pages 358-393, March.
    15. D’Erasmo, P. & Mendoza, E.G. & Zhang, J., 2016. "What is a Sustainable Public Debt?," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 2493-2597, Elsevier.
    16. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2015. "Constrained Efficiency Without Commitment," Working Papers hal-01097121, HAL.
    17. Aguiar, Mark & Gopinath, Gita, 2006. "Defaultable debt, interest rates and the current account," Journal of International Economics, Elsevier, vol. 69(1), pages 64-83, June.
    18. Nicola Gennaioli & Alberto Martin & Stefano Rossi, 2014. "Sovereign Default, Domestic Banks, and Financial Institutions," Journal of Finance, American Finance Association, vol. 69(2), pages 819-866, April.
    19. Timothy J. Kehoe & David K. Levine, 1993. "Debt-Constrained Asset Markets," Review of Economic Studies, Oxford University Press, vol. 60(4), pages 865-888.
    20. Enrique G. Mendoza & Vivian Z. Yue, 2012. "A General Equilibrium Model of Sovereign Default and Business Cycles," The Quarterly Journal of Economics, Oxford University Press, vol. 127(2), pages 889-946.
    21. Harold L. Cole & Timothy J. Kehoe, 2000. "Self-Fulfilling Debt Crises," Review of Economic Studies, Oxford University Press, vol. 67(1), pages 91-116.
    22. repec:oup:restud:v:84:y::i:1:p:406-443. is not listed on IDEAS
    23. Daniel Cohen & Jeffrey Sachs, 1991. "Growth and External Debt Under Risk of Debt Repudiation," NBER Chapters, in: International Volatility and Economic Growth: The First Ten Years of The International Seminar on Macroeconomics, pages 437-472, National Bureau of Economic Research, Inc.
    24. Jianjun Miao & Pengfei Wang, 2018. "Asset Bubbles and Credit Constraints," American Economic Review, American Economic Association, vol. 108(9), pages 2590-2628, September.
    25. Tomohiro Hirano & Noriyuki Yanagawa, 2017. "Asset Bubbles, Endogenous Growth, and Financial Frictions," Review of Economic Studies, Oxford University Press, vol. 84(1), pages 406-443.
    26. 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.
    27. Bloise, Gaetano & Reichlin, Pietro, 2011. "Asset prices, debt constraints and inefficiency," Journal of Economic Theory, Elsevier, vol. 146(4), pages 1520-1546, July.
    28. Costas Azariadis & Leo Kaas & Yi Wen, 2016. "Self-Fulfilling Credit Cycles," Review of Economic Studies, Oxford University Press, vol. 83(4), pages 1364-1405.
    29. Bengui, Julien & Phan, Toan, 2018. "Asset pledgeability and endogenously leveraged bubbles," Journal of Economic Theory, Elsevier, vol. 177(C), pages 280-314.
    30. Faruk Gul & Wolfgang Pesendorfer, 2004. "Self-Control and the Theory of Consumption," Econometrica, Econometric Society, vol. 72(1), pages 119-158, January.
    31. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    32. Christian Hellwig & Guido Lorenzoni, 2009. "Bubbles and Self-Enforcing Debt," Econometrica, Econometric Society, vol. 77(4), pages 1137-1164, July.
    33. 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.
    34. 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.
    35. 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.
    36. Bai, Yan & Zhang, Jing, 2012. "Financial integration and international risk sharing," Journal of International Economics, Elsevier, vol. 86(1), pages 17-32.
    37. Patrick J. Kehoe & Fabrizio Perri, 2002. "International Business Cycles with Endogenous Incomplete Markets," Econometrica, Econometric Society, vol. 70(3), pages 907-928, May.
    38. Kehoe, Patrick J. & Perri, Fabrizio, 2004. "Competitive equilibria with limited enforcement," Journal of Economic Theory, Elsevier, vol. 119(1), pages 184-206, November.
    39. Cristina Arellano, 2008. "Default Risk and Income Fluctuations in Emerging Economies," American Economic Review, American Economic Association, vol. 98(3), pages 690-712, June.
    40. Phan, Toan, 2017. "Sovereign debt signals," Journal of International Economics, Elsevier, vol. 104(C), pages 157-165.
    41. Martins-da-Rocha, V. Filipe & Vailakis, Yiannis, 2015. "Constrained efficiency without commitment," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 276-286.
    42. Holmström, Bengt, 2013. "Inside and Outside Liquidity," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262518536.
    43. Victor Filipe Martins da Rocha & Mateus Santos, 2019. "Self-Enforcing Debt and Rational Bubbles," Post-Print hal-01951504, HAL.
    44. 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.
    45. Woodford, Michael, 1990. "Public Debt as Private Liquidity," American Economic Review, American Economic Association, vol. 80(2), pages 382-388, May.
    46. Igor Livshits, 2015. "Recent Developments In Consumer Credit And Default Literature," Journal of Economic Surveys, Wiley Blackwell, vol. 29(4), pages 594-613, September.
    47. Satyajit Chatterjee & Dean Corbae & Makoto Nakajima & José-Víctor Ríos-Rull, 2007. "A Quantitative Theory of Unsecured Consumer Credit with Risk of Default," Econometrica, Econometric Society, vol. 75(6), pages 1525-1589, November.
    48. Jonathan Eaton & Mark Gersovitz, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," Review of Economic Studies, Oxford University Press, vol. 48(2), pages 289-309.
    49. Yan Bai & Jing Zhang, 2010. "Solving the Feldstein-Horioka Puzzle With Financial Frictions," Econometrica, Econometric Society, vol. 78(2), pages 603-632, March.
    50. Gadi Barlevy, 2018. "Bridging Between Policymakers’ and Economists’ Views on Bubbles," Economic Perspectives, Federal Reserve Bank of Chicago, issue 4, pages 1-21.
    51. Gopinath, G. & Helpman, . & Rogoff, K. (ed.), 2014. "Handbook of International Economics," Handbook of International Economics, Elsevier, edition 1, volume 4, number 4.
    52. Tirole, Jean, 1985. "Asset Bubbles and Overlapping Generations," Econometrica, Econometric Society, vol. 53(6), pages 1499-1528, November.
    53. Werner, Jan, 2014. "Rational asset pricing bubbles and debt constraints," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 145-152.
    54. Martins-da-Rocha, V. Filipe & Vailakis, Yiannis, 2015. "Constrained efficiency without commitment," Journal of Mathematical Economics, Elsevier, vol. 61(C), pages 276-286.
    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. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2014. "Self-enforcing Debt, Reputation, and the Role of Interest Rates," Working Papers hal-01097114, HAL.
    2. 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.
    3. Bidian, Florin, 2016. "Robust bubbles with mild penalties for default," Journal of Mathematical Economics, Elsevier, vol. 65(C), pages 141-153.
    4. Victor Filipe Martins da Rocha & Yiannis Vailakis, 2015. "On the Sovereign Debt Paradox," Working Papers hal-01097118, HAL.
    5. Diego J. Perez, 2015. "Sovereign Debt, Domestic Banks and the Provision of Public Liquidity," Discussion Papers 15-016, Stanford Institute for Economic Policy Research.
    6. 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.
    7. Sergio Rebelo & Neng Wang & Jinqiang Yang, 2018. "Rare Disasters, Financial Development, and Sovereign Debt," NBER Working Papers 25031, National Bureau of Economic Research, Inc.
    8. 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.
    9. Azariadis, Costas & Kaas, Leo, 2013. "Endogenous credit limits with small default costs," Journal of Economic Theory, Elsevier, vol. 148(2), pages 806-824.
    10. Le Grand, François & Ragot, Xavier, 2021. "Sovereign default and liquidity: The case for a world safe asset," Journal of International Economics, Elsevier, vol. 131(C).
    11. Jordi Galí, 2016. "Monetary policy and bubbles in a new Keynesian model with overlapping generations," Economics Working Papers 1561, Department of Economics and Business, Universitat Pompeu Fabra, revised Jan 2020.
    12. Miao, Jianjun, 2014. "Introduction to economic theory of bubbles," Journal of Mathematical Economics, Elsevier, vol. 53(C), pages 130-136.
    13. Alberto Martin & Jaume Ventura, 2018. "The Macroeconomics of Rational Bubbles: A User's Guide," Annual Review of Economics, Annual Reviews, vol. 10(1), pages 505-539, August.
    14. 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.
    15. Auclert, Adrien & Rognlie, Matthew, 2016. "Unique equilibrium in the Eaton–Gersovitz model of sovereign debt," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 134-146.
    16. Roberto Piazza, 2014. "Growth and Crisis, Unavoidable Connection?," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 17(4), pages 677-706, October.
    17. Cristina Arellano, 2005. "Default Risk, the Real Exchange Rate and Income Fluctuations in Emerging Economies," 2005 Meeting Papers 516, Society for Economic Dynamics.
    18. Niepelt, Dirk, 2014. "Debt maturity without commitment," Journal of Monetary Economics, Elsevier, vol. 68(S), pages 37-54.
    19. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2017. "Sovereign debt and incentives to default with uninsurable risks," Theoretical Economics, Econometric Society, vol. 12(3), September.
    20. Grey Gordon & Pablo Guerron-Quintana, 2018. "Dynamics of Investment, Debt, and Default," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 28, pages 71-95, April.

    More about this item

    Keywords

    Limited commitment; general equilibrium; rational credit bubbles;
    All these keywords.

    JEL classification:

    • E00 - Macroeconomics and Monetary Economics - - General - - - General
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • F00 - International Economics - - General - - - General

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:fip:fedrwp:19-19. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: . General contact details of provider: https://edirc.repec.org/data/frbrius.html .

    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: Christian Pascasio (email available below). General contact details of provider: https://edirc.repec.org/data/frbrius.html .

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.