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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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  • Guido Ascari
  • Andrea Colciago
  • Lorenza Rossi

Abstract

We show how to use Hurwitz polynomials to study the stability and uniqueness of Rational Expectation equilibria in Dynamic General Equilibrium models. We apply this method to a model characterized by staggered wage and price contracts 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: for any plausible degree of asset market participation an active interest rate rule ensures the uniqueness of the rational expectation equilibrium.

Suggested Citation

  • Guido Ascari & Andrea Colciago & Lorenza Rossi, 2016. "Determinacy analysis in high order dynamic systems: The case of nominal rigidities and limited asset market participation," Working Papers 334, University of Milano-Bicocca, Department of Economics, revised 13 May 2016.
    • Handle: RePEc:mib:wpaper:334
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    References listed on IDEAS

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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. 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.
    8. 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.
    9. 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.
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    Cited by:

    1. 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.
    2. repec:hal:spmain:info:hdl:2441/j75mfllkr89c8aod1nr586ksc is not listed on IDEAS
    3. Dennis Bonam, 2020. "A convenient truth: The convenience yield, low interest rates and implications for fiscal policy," Working Papers 700, DNB.
    4. 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.
    5. 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.
    6. 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.
    7. repec:hal:wpspec:info:hdl:2441/j75mfllkr89c8aod1nr586ksc is not listed on IDEAS

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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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