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Growth and financial liberalization under capital collateral constraints: The striking case of the stochastic AK model with CARA preferences

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  • Raouf Boucekkine

    () (Aix-Marseille University (Aix-Marseille School of Economics), CNRS and EHESS)

  • Giorgio Fabbri

    () (EPEE, Université d’Evry-Val-d’Essonne (TEPP, FR-CNRS 3126))

  • Patrick Pintus

    () (Aix-Marseille University (Aix-Marseille School of Economics), CNRS and EHESS)

Abstract

We consider a small-open, collateral-constrained AK economy. We show that the combination of CARA preferences and uncertainty on capital inflows in such an economy generates long-term (expected) growth while the deterministic counterpart does not. In this framework, long-term growth is entirely driven by precautionary savings. In particular, we show that the asymptotic growth rate of the expected capital stock is an increasing function of both the risk parameter and the Arrow-Prat absolute risk aversion parameter. The model also predicts that economies that are more financially integrated through international borrowing experience lower consumption growth volatility relative to output growth volatility.

Suggested Citation

  • Raouf Boucekkine & Giorgio Fabbri & Patrick Pintus, 2013. "Growth and financial liberalization under capital collateral constraints: The striking case of the stochastic AK model with CARA preferences," Documents de recherche 13-11, Centre d'Études des Politiques Économiques (EPEE), Université d'Evry Val d'Essonne.
  • Handle: RePEc:eve:wpaper:13-11
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    References listed on IDEAS

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    1. Obstfeld, Maurice, 1994. "Risk-Taking, Global Diversification, and Growth," American Economic Review, American Economic Association, vol. 84(5), pages 1310-1329, December.
    2. 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.
    3. Philippe Weil, 1990. "Nonexpected Utility in Macroeconomics," The Quarterly Journal of Economics, Oxford University Press, vol. 105(1), pages 29-42.
    4. Anne Epaulard & Aude Pommeret, 2016. "Financial Integration, Growth and Volatility," Pacific Economic Review, Wiley Blackwell, vol. 21(3), pages 330-357, August.
    5. Bekaert, Geert & Harvey, Campbell R. & Lundblad, Christian, 2006. "Growth volatility and financial liberalization," Journal of International Money and Finance, Elsevier, vol. 25(3), pages 370-403, April.
    6. Raouf Boucekkine & Patrick Pintus, 2012. "History’s a curse: leapfrogging, growth breaks and growth reversals under international borrowing without commitment," Journal of Economic Growth, Springer, vol. 17(1), pages 27-47, March.
    7. Ayhan Kose, M. & Prasad, Eswar S. & Taylor, Ashley D., 2011. "Thresholds in the process of international financial integration," Journal of International Money and Finance, Elsevier, vol. 30(1), pages 147-179, February.
    8. repec:spr:joecth:v:65:y:2018:i:2:d:10.1007_s00199-016-1019-7 is not listed on IDEAS
    9. Raouf Boucekkine & Giorgio Fabbri & Patrick A. Pintus, 2018. "Short-run pain, long-run gain: the conditional welfare gains from international financial integration," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 65(2), pages 329-360, March.
    10. Mohamed Belhaj & Nataliya Klimenko, 2012. "Optimal Preventive Bank Supervision Combining Random Audits and Continuous Intervention," AMSE Working Papers 1201, Aix-Marseille School of Economics, Marseille, France.
    11. Steger, Thomas M., 2005. "Stochastic growth under Wiener and Poisson uncertainty," Economics Letters, Elsevier, vol. 86(3), pages 311-316, March.
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    Citations

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    Cited by:

    1. Raouf Boucekkine & Patrick Pintus & Benteng Zou, 2015. "Stochastic stability of endogenous growth:Theory and applications," CREA Discussion Paper Series 15-09, Center for Research in Economic Analysis, University of Luxembourg.
    2. Raouf Boucekkine & Giorgio Fabbri & Patrick A. Pintus, 2015. "Risk Sharing and Growth in Small-Open Economies," AMSE Working Papers 1537, Aix-Marseille School of Economics, Marseille, France.
    3. Raouf Boucekkine & Benteng Zou, 2014. "Stochastic stability of endogenous growth: The AK case," CREA Discussion Paper Series 14-30, Center for Research in Economic Analysis, University of Luxembourg.
    4. Fabbri, Giorgio, 2017. "International borrowing without commitment and informational lags: Choice under uncertainty," Journal of Mathematical Economics, Elsevier, vol. 68(C), pages 103-114.
    5. Raouf Boucekkine & Xianhai Huang, 2016. "Globalization: Financial, Trade and Institutional Aspects with Applications to China," Pacific Economic Review, Wiley Blackwell, vol. 21(3), pages 324-329, August.
    6. Raouf Boucekkine & Patrick A. Pintus & Benteng Zou, 2018. "Mean Growth and Stochastic Stability in Endogenous Growth Models," AMSE Working Papers 1805, Aix-Marseille School of Economics, Marseille, France.
    7. Ballestra, Luca Vincenzo, 2016. "The spatial AK model and the Pontryagin maximum principle," Journal of Mathematical Economics, Elsevier, vol. 67(C), pages 87-94.

    More about this item

    Keywords

    Financial liberalization; growth; CARA preferences; collateral constraints; precautionary savings;

    JEL classification:

    • F34 - International Economics - - International Finance - - - International Lending and Debt Problems
    • F43 - International Economics - - Macroeconomic Aspects of International Trade and Finance - - - Economic Growth of Open Economies
    • O40 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - General

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