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Trend-reverting fluctuations in the life-cycle model

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  • Costas Azariadis
  • James B. Bullard
  • Lee E. Ohanian

Abstract

Aggregate time series provide evidence of short term dynamic adjustment that appears to be governed by complex or negative real eigenvalues. This finding is at odds with the predictions of reasonably parameterized, convex one-sector growth models with complete markets. We study life cycle economies in which aggregate saving depends non-trivially on the distribution of wealth among cohorts. If consumption goods are weak gross substitutes near the steady state price vector, we prove that the unique equilibrium of a life cycle exchange economy converges to the unique non-monetary steady state via damped oscillations. We also discuss examples and extensions. ; Earlier title: Complex Eigenvalues and Trend-Reverting Fluctuations

Suggested Citation

  • Costas Azariadis & James B. Bullard & Lee E. Ohanian, 2001. "Trend-reverting fluctuations in the life-cycle model," Working Papers 1998-015, Federal Reserve Bank of St. Louis.
  • Handle: RePEc:fip:fedlwp:1998-015
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    Cited by:

    1. Hippolyte d'Albis & Emmanuelle Augeraud-véron, 2009. "Competitive Growth In A Life-Cycle Model: Existence And Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 50(2), pages 459-484, May.
    2. Augeraud-Véron, Emmanuelle & D'Albis, Hippolyte, 2009. "Continuous-Time Overlapping Generations Models," TSE Working Papers 09-047, Toulouse School of Economics (TSE).
    3. de la Croix, David & Pierrard, Olivier & Sneessens, Henri R., 2013. "Aging and pensions in general equilibrium: Labor market imperfections matter," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 104-124.
    4. Hippolyte d’Albis & Emmanuelle Augeraud-Véron & Marie Bessec, 2004. "Démographie et fluctuations économiques," Revue économique, Presses de Sciences-Po, vol. 55(3), pages 429-437.
    5. Raouf Boucekkine & David De la Croix & Omar Licandro, 2011. "Vintage Capital Growth Theory: Three Breakthroughs," Working Papers 565, Barcelona Graduate School of Economics.
    6. Xavier Fairise & Patrick Fève, 2006. "Labor adjustment costs and complex eigenvalues," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 29(1), pages 95-110, September.
    7. Mitra, Kaushik & Evans, George W. & Honkapohja, Seppo, 2013. "Policy change and learning in the RBC model," Journal of Economic Dynamics and Control, Elsevier, vol. 37(10), pages 1947-1971.
    8. Erasmo Papagni, 2008. "The Long-run Effects of Household Liquidity Constraints and Taxation on Fertility, Education, Saving, and Growth," Discussion Papers 11_2008, D.E.S. (Department of Economic Studies), University of Naples "Parthenope", Italy.
    9. Peter Stemp & Ric Herbert, 2006. "Solving Non-Linear Models with Saddle-Path Instabilities," Computational Economics, Springer;Society for Computational Economics, vol. 28(2), pages 211-231, September.
    10. Loumrhari, Ghizlan, 2016. "Vieillissement démographique et réforme paramétrique des retraites. Les enseignements d’un modèle EGC-GI pour le Maroc
      [Ageing and pension reform. A computational olg model for Morocco]
      ," MPRA Paper 74077, University Library of Munich, Germany.
    11. Brito, Paulo & Dilão, Rui, 2010. "Equilibrium price dynamics in an overlapping-generations exchange economy," Journal of Mathematical Economics, Elsevier, vol. 46(3), pages 343-355, May.
    12. de la Croix, David & Pierrard, Olivier & Sneessens, Henri R., 2013. "Aging and pensions in general equilibrium: Labor market imperfections matter," Journal of Economic Dynamics and Control, Elsevier, vol. 37(1), pages 104-124.
    13. Jeremy Greenwood & Ananth Seshadri & Guillaume Vandenbroucke, 2002. "The baby boom and baby bust: some macroeconomics for population economics," Proceedings, Federal Reserve Bank of San Francisco, issue Nov.
    14. CharlesKaYui Leung & Nan-Kuang Chen, 2010. "Stock Price Volatility, Negative Autocorrelation And The Consumption-Wealth Ratio: The Case Of Constant Fundamentals," Pacific Economic Review, Wiley Blackwell, vol. 15(2), pages 224-245, May.
    15. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 225-241, January.
    16. Nils-Petter Lagerlöf, 2006. "The Galor-Weil Model Revisited: A Quantitative Exercise," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 9(1), pages 116-142, January.
    17. Pedro Gomis-Porqueras & Solmaz Moslehi & Vivianne Vilar, 2013. "The Fiscal Theory of the Price Level When All Income is Taxed," Monash Economics Working Papers 09-13, Monash University, Department of Economics.
    18. Costas Azariadis & Leo Kaas, 2007. "Is dynamic general equilibrium a theory of everything?," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(1), pages 13-41, July.
    19. repec:eee:reecon:v:71:y:2017:i:3:p:373-383 is not listed on IDEAS

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    Keywords

    Business cycles ; Econometric models ; Time-series analysis ; Regression analysis;

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