IDEAS home Printed from https://ideas.repec.org/p/cte/werepe/36164.html
   My bibliography  Save this paper

An ergodic theory of sovereign default

Author

Listed:
  • Pierri, Damian Rene

Abstract

We present the conditions under which the dynamics of a sovereign default model of private external debt are stationary, ergodic and globally stable. As our results are constructive, the model can be used for the accurate computation of global long run stylized facts. We show that default can be used to derive a stable unconditional distribution (i.e., a stable stochastic steady state), one for each possible event, which in turn allows us to characterize globally positive probability paths. We show that the stable and the ergodic distribution are actually the same object. We found that there are 3 type of paths: non-sustainable and sustainable; among this last category, trajectories can be either stable or unstable. In the absence of default, nonsustainable and unstable paths generate explosive trajectories for debt. By deriving the notion of stable state space, we show that the government can use the default of private external debt as a stabilization policy.

Suggested Citation

  • Pierri, Damian Rene, 2022. "An ergodic theory of sovereign default," UC3M Working papers. Economics 36164, Universidad Carlos III de Madrid. Departamento de Economía.
  • Handle: RePEc:cte:werepe:36164
    as

    Download full text from publisher

    File URL: https://e-archivo.uc3m.es/rest/api/core/bitstreams/167b16af-7a42-4c69-a487-f405c911b4e0/content
    Download Restriction: no
    ---><---

    Other versions of this item:

    References listed on IDEAS

    as
    1. 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.
    2. Duffie, Darrell, et al, 1994. "Stationary Markov Equilibria," Econometrica, Econometric Society, vol. 62(4), pages 745-781, July.
    3. Clausen, Andrew & Strub, Carlo, 2020. "Reverse Calculus and nested optimization," Journal of Economic Theory, Elsevier, vol. 187(C).
    4. Ayres, João & Navarro, Gaston & Nicolini, Juan Pablo & Teles, Pedro, 2018. "Sovereign default: The role of expectations," Journal of Economic Theory, Elsevier, vol. 175(C), pages 803-812.
    5. , H. B., 2013. "Ergodic Markov equilibrium with incomplete markets and short sales," Theoretical Economics, Econometric Society, vol. 8(1), January.
    6. Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2008. "A qualitative approach to Markovian equilibrium in infinite horizon economies with capital," Journal of Economic Theory, Elsevier, vol. 139(1), pages 75-98, March.
    7. Kim, Yun Jung & Zhang, Jing, 2012. "Decentralized borrowing and centralized default," Journal of International Economics, Elsevier, vol. 88(1), pages 121-133.
    8. Pierri, Damian Rene & Reffett, Kevin, 2021. "Memory, multiple equilibria and emerging market crises," UC3M Working papers. Economics 32871, Universidad Carlos III de Madrid. Departamento de Economía.
    9. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
    10. Futia, Carl A, 1982. "Invariant Distributions and the Limiting Behavior of Markovian Economic Models," Econometrica, Econometric Society, vol. 50(2), pages 377-408, March.
    11. Aguiar, Mark & Amador, Manuel, 2019. "A contraction for sovereign debt models," Journal of Economic Theory, Elsevier, vol. 183(C), pages 842-875.
    12. Cristina Arellano, 2008. "Default Risk and Income Fluctuations in Emerging Economies," American Economic Review, American Economic Association, vol. 98(3), pages 690-712, June.
    13. Jonathan Eaton & Mark Gersovitz, 1981. "Debt with Potential Repudiation: Theoretical and Empirical Analysis," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 48(2), pages 289-309.
    14. Ljungqvist, Lars & Sargent, Thomas J., 2012. "Recursive Macroeconomic Theory, Third Edition," MIT Press Books, The MIT Press, edition 3, volume 1, number 0262018748, 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. Pierri Damian, 2024. "Accuracy in Recursive Minimal State Space Methods," Computational Economics, Springer;Society for Computational Economics, vol. 64(1), pages 263-305, July.
    2. Aguiar, M. & Chatterjee, S. & Cole, H. & Stangebye, Z., 2016. "Quantitative Models of Sovereign Debt Crises," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 1697-1755, Elsevier.
    3. Pierri, Damian Rene & Reffett, Kevin, 2021. "Memory, multiple equilibria and emerging market crises," UC3M Working papers. Economics 32871, Universidad Carlos III de Madrid. Departamento de Economía.
    4. Bloise, Gaetano & Vailakis, Yiannis, 2024. "Sovereign debt crises and low interest rates," Journal of International Economics, Elsevier, vol. 150(C).
    5. Haichao Fan & Xiang Gao, 2017. "Domestic Creditor Rights and External Private Debt," Economic Journal, Royal Economic Society, vol. 127(606), pages 2410-2440, November.
    6. Harashima, Taiji, 2021. "The Root Cause of Sovereign Default," MPRA Paper 110010, University Library of Munich, Germany.
    7. Mark Aguiar & Manuel Amador & Stelios Fourakis, 2020. "On the Welfare Losses from External Sovereign Borrowing," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 68(1), pages 163-194, March.
    8. Mark Aguiar & Satyajit Chatterjee & Harold Cole & Zachary Stangebye, 2022. "Self-Fulfilling Debt Crises, Revisited," Journal of Political Economy, University of Chicago Press, vol. 130(5), pages 1147-1183.
    9. Tavares, Tiago, 2019. "Labor market distortions under sovereign debt default crises," Journal of Economic Dynamics and Control, Elsevier, vol. 108(C).
    10. Joao Ayres & Gaston Navarro & Juan Pablo Nicolini & Pedro Teles, 2019. "Self-Fulfilling Debt Crises with Long Stagnations," Working Papers 757, Federal Reserve Bank of Minneapolis.
    11. Seon Tae Kim & Gabriel Mihalache & Yan Bai, 2014. "Maturity and Repayment Structure of Sovereign Debt," 2014 Meeting Papers 523, Society for Economic Dynamics.
    12. Zuzana Mucka, 2019. "The mirror does not lie: Endogenous fiscal limits for Slovakia," Working Papers Working Paper No. 2/2019, Council for Budget Responsibility.
    13. Corsetti, G. & Maeng, S. H., 2023. "The Theory of Reserve Accumulation, Revisited," Janeway Institute Working Papers 2319, Faculty of Economics, University of Cambridge.
    14. 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).
    15. Athreya, Kartik B., 2014. "Big Ideas in Macroeconomics: A Nontechnical View," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262019736, April.
    16. Kikkawa, Ayumu Ken & Sasahara, Akira, 2020. "Gains from trade and the sovereign bond market," European Economic Review, Elsevier, vol. 124(C).
    17. Galli, Carlo, 2021. "Self-fulfilling debt crises, fiscal policy and investment," Journal of International Economics, Elsevier, vol. 131(C).
    18. Arce, Fernando, 2021. "Private Overborrowing under Sovereign Risk," MPRA Paper 113176, University Library of Munich, Germany.
    19. Javier Bianchi & Jorge Mondragon, 2022. "Monetary Independence and Rollover Crises," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 137(1), pages 435-491.
    20. Michal Szkup, 2022. "Preventing Self-Fulfilling Debt Crises: A Global Games Approach," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 43, pages 22-55, January.

    More about this item

    Keywords

    Default;

    JEL classification:

    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • E61 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Policy Objectives; Policy Designs and Consistency; Policy Coordination
    • E10 - Macroeconomics and Monetary Economics - - General Aggregative Models - - - General
    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics

    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:cte:werepe:36164. 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: Ana Poveda (email available below). General contact details of provider: http://www.eco.uc3m.es/ .

    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.