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Determinacy analysis in high order dynamic systems: The case of nominal rigidities and limited asset market participation

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  • Ascari, Guido
  • Colciago, Andrea
  • Rossi, Lorenza

Abstract

We show how to use Hurwitz polynomials to study the stability and uniqueness of Rational Expectation equilibria (REE) in Dynamic General Equilibrium models (DGE). We apply this method to a model characterized by sticky wages and prices and by limited asset market participation (LAMP). We prove analytically in a fourth-order dynamics system that, once nominal wage stickiness is taken into account, LAMP does not invalidate the Taylor Principle.

Suggested Citation

  • Ascari, Guido & Colciago, Andrea & Rossi, Lorenza, 2017. "Determinacy analysis in high order dynamic systems: The case of nominal rigidities and limited asset market participation," Economics Letters, Elsevier, vol. 159(C), pages 82-87.
    • Handle: RePEc:eee:ecolet:v:159:y:2017:i:c:p:82-87
    DOI: 10.1016/j.econlet.2017.05.040
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    1. Bilbiie, Florin O., 2008. "Limited asset markets participation, monetary policy and (inverted) aggregate demand logic," Journal of Economic Theory, Elsevier, vol. 140(1), pages 162-196, May.
    2. Andrew T. Levin & Alexei Onatski & John Williams & Noah M. Williams, 2006. "Monetary Policy under Uncertainty in Micro-Founded Macroeconometric Models," NBER Chapters, in: NBER Macroeconomics Annual 2005, Volume 20, pages 229-312, National Bureau of Economic Research, Inc.
    3. Flaschel Peter & Franke Reiner & Proaño Christian R., 2008. "On Equilibrium Determinacy in New Keynesian Models with Staggered Wage and Price Setting," The B.E. Journal of Macroeconomics, De Gruyter, vol. 8(1), pages 1-12, December.
    4. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-1311, July.
    5. Erceg, Christopher J. & Henderson, Dale W. & Levin, Andrew T., 2000. "Optimal monetary policy with staggered wage and price contracts," Journal of Monetary Economics, Elsevier, vol. 46(2), pages 281-313, October.
    6. Andrea Colciago, 2011. "Rule‐of‐Thumb Consumers Meet Sticky Wages," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43(2‐3), pages 325-353, March.
    7. Peter Flaschel & Reiner Franke & Christian Proano, 2008. "On the Determinacy of New Keynesian Models with Staggered Wage and Price Setting," IMK Working Paper 11-2008, IMK at the Hans Boeckler Foundation, Macroeconomic Policy Institute.
    8. Guido Ascari & Andrea Colciago & Lorenza Rossi, 2017. "Limited Asset Market Participation, Sticky Wages, And Monetary Policy," Economic Inquiry, Western Economic Association International, vol. 55(2), pages 878-897, April.
    9. Basu, Susanto & Fernald, John G, 1997. "Returns to Scale in U.S. Production: Estimates and Implications," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 249-283, April.
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    Cited by:

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    2. Florin Bilbiie & Xavier Ragot, 2021. "Optimal Monetary Policy and Liquidity with Heterogeneous Households," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 41, pages 71-95, July.
    3. Dennis Bonam, 2020. "A convenient truth: The convenience yield, low interest rates and implications for fiscal policy," Working Papers 700, DNB.
    4. Joshua Brault & Hashmat Khan & Louis Phaneuf & Jean Gardy Victor, 2021. "US Postwar Macroeconomic Fluctuations Without Indeterminacy," Carleton Economic Papers 21-01, Carleton University, Department of Economics, revised 25 May 2021.
    5. repec:hal:wpspec:info:hdl:2441/j75mfllkr89c8aod1nr586ksc is not listed on IDEAS
    6. Alice Albonico & Guido Ascari & Qazi Haque, 2020. "The (ir)relevance of rule-of-thumb consumers for US business cycle fluctuations," CAMA Working Papers 2020-102, Centre for Applied Macroeconomic Analysis, Crawford School of Public Policy, The Australian National University.
    7. Joshua Brault & Louis Phaneuf, 2021. "Higher Order Interest-Smoothing, Time-Varying Inflation Target and the Prospect of Indeterminacy," Working Papers 21-10, Chair in macroeconomics and forecasting, University of Quebec in Montreal's School of Management.

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    More about this item

    Keywords

    Determinacy; High-order dynamics; Sticky wages; Non-Ricardian household;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E50 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - General

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