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Stability analysis in a monetary model with a varying intertemporal elasticity of substitution


  • Gomes, Orlando


Models dealing with monetary policy are generally based on microfoundations that characterize the behaviour of representative agents (households and firms). To explain the representative consumer behaviour, it is generally assumed a utility function in which the intertemporal elasticity of substitution is constant. Recent literature casts some doubts about the relevance of considering such a constant elasticity value. In this note, we explore the new Keynesian monetary policy model under the assumption that the elasticity of substitution changes with expectations regarding real economic performance. As a result, one observes that some combinations of parameter values allow for a stable fixed point outcome, while other combinations of parameters are compatible with cycles of various periodicities and even a-periodic fluctuations.

Suggested Citation

  • Gomes, Orlando, 2007. "Stability analysis in a monetary model with a varying intertemporal elasticity of substitution," MPRA Paper 2890, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:2890

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    References listed on IDEAS

    1. Guvenen, Fatih, 2006. "Reconciling conflicting evidence on the elasticity of intertemporal substitution: A macroeconomic perspective," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1451-1472, October.
    2. Kazuo Nishimura & Tadashi Shigoka & Makoto Yano, 1998. "Interior Optimal Chaos with Arbitrarily Low Discount Rates," The Japanese Economic Review, Japanese Economic Association, vol. 49(3), pages 223-233, September.
    3. Mark Gertler & Jordi Gali & Richard Clarida, 1999. "The Science of Monetary Policy: A New Keynesian Perspective," Journal of Economic Literature, American Economic Association, vol. 37(4), pages 1661-1707, December.
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    5. Attanasio, Orazio P & Weber, Guglielmo, 1995. "Is Consumption Growth Consistent with Intertemporal Optimization? Evidence from the Consumer Expenditure Survey," Journal of Political Economy, University of Chicago Press, vol. 103(6), pages 1121-1157, December.
    6. Ogaki, M. & Atkeson, A., 1993. "The Rate of Time Preference, The Intertemporal Elasticity of Substitution, and the leval of Wealth," RCER Working Papers 363, University of Rochester - Center for Economic Research (RCER).
    7. Alvarez-Pelaez, Maria J. & Diaz, Antonia, 2005. "Minimum consumption and transitional dynamics in wealth distribution," Journal of Monetary Economics, Elsevier, vol. 52(3), pages 633-667, April.
    8. Attanasio, Orazio P & Browning, Martin, 1995. "Consumption over the Life Cycle and over the Business Cycle," American Economic Review, American Economic Association, vol. 85(5), pages 1118-1137, December.
    9. John Y. Campbell & N. Gregory Mankiw, 1989. "Consumption, Income and Interest Rates: Reinterpreting the Time Series Evidence," NBER Chapters,in: NBER Macroeconomics Annual 1989, Volume 4, pages 185-246 National Bureau of Economic Research, Inc.
    10. Beaudry, Paul & van Wincoop, Eric, 1996. "The Intertemporal Elasticity of Substitution: An Exploration Using a US Panel of State Data," Economica, London School of Economics and Political Science, vol. 63(251), pages 495-512, August.
    11. Hall, Robert E, 1988. "Intertemporal Substitution in Consumption," Journal of Political Economy, University of Chicago Press, vol. 96(2), pages 339-357, April.
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    13. Atkeson, Andrew & Ogaki, Masao, 1996. "Wealth-varying intertemporal elasticities of substitution: Evidence from panel and aggregate data," Journal of Monetary Economics, Elsevier, vol. 38(3), pages 507-534, December.
    14. Chatterjee, Satyajit & Ravikumar, B., 1999. "Minimum Consumption Requirements: Theoretical And Quantitative Implications For Growth And Distribution," Macroeconomic Dynamics, Cambridge University Press, vol. 3(04), pages 482-505, December.
    15. Nishimura, Kazuo & Yano, Makoto, 1995. "Nonlinear Dynamics and Chaos in Optimal Growth: An Example," Econometrica, Econometric Society, vol. 63(4), pages 981-1001, July.
    16. Christopher Bliss, 2004. "Some Implications of a Variable EIS," Economics Papers 2004-W26, Economics Group, Nuffield College, University of Oxford.
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    More about this item


    Monetary policy; Intertemporal elasticity of substitution; Stability; Nonlinear dynamics;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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