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Welfare-based optimal monetary policy with unemployment and sticky prices: a linear-quadratic framework

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Federico Ravenna
Carl E. Walsh

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Abstract

In this paper, we derive a linear-quadratic model for monetary policy analysis that is consistent with sticky prices and search and matching frictions in the labor market. We show that the second-order approximation to the welfare of the representative agent depends on inflation and "gaps" that involve current and lagged unemployment. Our approximation makes explicit how the costs of fluctuations are generated by the presence of search frictions. These costs are distinct from the costs associated with relative price dispersion and fluctuations in consumption that appear in standard new Keynesian models. We use the model to analyze optimal monetary policy under commitment and discretion and to show that the structural characteristics of the labor market have important implications for optimal policy.

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Paper provided by Federal Reserve Bank of San Francisco in its series Working Paper Series with number 2009-15.

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Date of creation: 2009
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Handle: RePEc:fip:fedfwp:2009-15

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Keywords: Monetary policy ; Econometric models;

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  1. Chéron, A. & Langot, François, 1999. "The Phillips and Beveridge curves revisited," CEPREMAP Working Papers (Couverture Orange) 9905, CEPREMAP.
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  2. Michael U. Krause & David J. Lopez-Salido & Thomas Lubik, 2007. "Do Search Frictions Matter for Inflation Dynamics?," Kiel Working Papers 1353, Kiel Institute for the World Economy. [Downloadable!]
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  3. Mark Gertler & Antonella Trigari, 2006. "Unemployment fluctuations with staggered Nash wage bargaining," Proceedings, Federal Reserve Bank of San Francisco. [Downloadable!]
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  4. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October. [Downloadable!] (restricted)
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  5. Hosios, Arthur J, 1990. "On the Efficiency of Matching and Related Models of Search and Unemployment," Review of Economic Studies, Blackwell Publishing, vol. 57(2), pages 279-98, April. [Downloadable!] (restricted)
  6. Richard Clarida & Jordi Galí & Mark Gertler, 2000. "Monetary Policy Rules And Macroeconomic Stability: Evidence And Some Theory," The Quarterly Journal of Economics, MIT Press, vol. 115(1), pages 147-180, February. [Downloadable!] (restricted)
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  7. Mortensen, Dale T, 1970. "Job Search, the Duration of Unemployment, and the Phillips Curve," American Economic Review, American Economic Association, vol. 60(5), pages 847-62, December. [Downloadable!] (restricted)
  8. Carl E. Walsh, 2005. "Labor Market Search, Sticky Prices, and Interest Rate Policies," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 8(4), pages 829-849, October. [Downloadable!] (restricted)
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  9. Krause, Michael U. & Lubik, Thomas A., 2007. "The (ir)relevance of real wage rigidity in the New Keynesian model with search frictions," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 706-727, April. [Downloadable!] (restricted)
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  10. Sala, Luca & Söderström, Ulf & Trigari, Antonella, 2008. "Monetary policy under uncertainty in an estimated model with labor market frictions," Journal of Monetary Economics, Elsevier, vol. 55(5), pages 983-1006, July. [Downloadable!] (restricted)
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  11. Thomas, Carlos, 2008. "Search and matching frictions and optimal monetary policy," Journal of Monetary Economics, Elsevier, vol. 55(5), pages 936-956, July. [Downloadable!] (restricted)
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  12. Antonella Trigari, 2004. "Equilibrium unemployment, job flows and inflation dynamics," Working Paper Series 304, European Central Bank. [Downloadable!]
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  13. Cooley, Thomas F. & Quadrini, Vincenzo, 1999. "A neoclassical model of the Phillips curve relation," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 165-193, October. [Downloadable!] (restricted)
  14. Olivier Coibion & Yuriy Gorodnichenko, 2008. "Monetary Policy, Trend Inflation and the Great Moderation: An Alternative Interpretation," NBER Working Papers 14621, National Bureau of Economic Research, Inc. [Downloadable!] (restricted)
  15. Alexopoulos, Michelle, 2004. "Unemployment and the business cycle," Journal of Monetary Economics, Elsevier, vol. 51(2), pages 277-298, March. [Downloadable!] (restricted)
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