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Deterministic Debt Cycles in Open Economies with Flow Collateral Constraints

Author

Listed:
  • Stephanie Schmitt-Grohé
  • Martín Uribe
Abstract
This paper establishes the existence of deterministic cycles in infinite-horizon open economy models with a flow collateral constraint. It shows that for plausible parameter configurations, the economy has a unique equilibrium exhibiting deterministic cycles in which periods of debt growth are followed by periods of debt deleveraging. In particular, three-period cycles exist, which implies by the Li-Yorke Theorem the presence of cycles of any periodicity and chaos. The paper also shows that deterministic cycles are absent in the Ramsey optimal allocation providing a justification for macroprudential policies even in the absence of uncertainty.

Suggested Citation

  • Stephanie Schmitt-Grohé & Martín Uribe, 2020. "Deterministic Debt Cycles in Open Economies with Flow Collateral Constraints," NBER Working Papers 26613, National Bureau of Economic Research, Inc.
  • Handle: RePEc:nbr:nberwo:26613
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    References listed on IDEAS

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    1. Javier Bianchi, 2011. "Overborrowing and Systemic Externalities in the Business Cycle," American Economic Review, American Economic Association, vol. 101(7), pages 3400-3426, December.
    2. Jeanne, Olivier & Korinek, Anton, 2019. "Managing credit booms and busts: A Pigouvian taxation approach," Journal of Monetary Economics, Elsevier, vol. 107(C), pages 2-17.
    3. Paul Beaudry & Dana Galizia & Franck Portier, 2020. "Putting the Cycle Back into Business Cycle Analysis," American Economic Review, American Economic Association, vol. 110(1), pages 1-47, January.
    4. Stephanie Schmitt-Grohé & Martín Uribe, 2017. "Is Optimal Capital Control Policy Countercyclical in Open Economy Models with Collateral Constraints?," IMF Economic Review, Palgrave Macmillan;International Monetary Fund, vol. 65(3), pages 498-527, August.
    5. Benigno, Gianluca & Chen, Huigang & Otrok, Christopher & Rebucci, Alessandro & Young, Eric R., 2016. "Optimal capital controls and real exchange rate policies: A pecuniary externality perspective," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 147-165.
    6. Rebucci, Alessandro & Ma, Chang, 2019. "Capital Controls: A Survey of the New Literature," CEPR Discussion Papers 14186, C.E.P.R. Discussion Papers.
    7. Enrique G. Mendoza, 2005. "Real Exchange Rate Volatility and the Price of Nontradables in Sudden-Stop-Prone Economies," NBER Working Papers 11691, National Bureau of Economic Research, Inc.
    8. Enrique G. Mendoza, 2002. "Credit, Prices, and Crashes: Business Cycles with a Sudden Stop," NBER Chapters, in: Preventing Currency Crises in Emerging Markets, pages 335-392, National Bureau of Economic Research, Inc.
    9. Jess Benhabib & Jianjun Miao & Pengfei Wang, 2016. "Chaotic banking crises and regulations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 393-422, February.
    10. Enrique G. Mendoza, 2005. "Real Exchange Rate Volatility and the Price of Nontradable Goods in Economies Prone to Sudden Stops," Economía Journal, The Latin American and Caribbean Economic Association - LACEA, vol. 0(Fall 2005), pages 103-148, August.
    11. Sebastian Edwards & Jeffrey A. Frankel, 2002. "Preventing Currency Crises in Emerging Markets," NBER Books, National Bureau of Economic Research, Inc, number edwa02-2.
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    Cited by:

    1. 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.
    2. Takao Asano & Akihisa Shibata & Masanori Yokoo, 2024. "Technology choice, externalities in production, and a chaotic middle-income trap," Journal of Economics, Springer, vol. 141(1), pages 29-56, January.
    3. Parimoo, Suneil, 2024. "Cycles and self-fulfilling crises in open economies with stock collateral constraints under impatience," Journal of Mathematical Economics, Elsevier, vol. 112(C).
    4. Carlos Esteban Posada Posada, 2020. "Crecimiento y ciclos de la economía colombiana (2005 – 2019)," Documentos de Trabajo de Valor Público 18255, Universidad EAFIT.
    5. Friedrich Lucke, 2022. "The Great Moderation and the Financial Cycle," Working Papers REM 2022/0238, ISEG - Lisbon School of Economics and Management, REM, Universidade de Lisboa.

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    More about this item

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • F38 - International Economics - - International Finance - - - International Financial Policy: Financial Transactions Tax; Capital Controls
    • F41 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Open Economy Macroeconomics
    • H23 - Public Economics - - Taxation, Subsidies, and Revenue - - - Externalities; Redistributive Effects; Environmental Taxes and Subsidies

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