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The New Keynesian Model with Stochastically Varying Policies

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  • Klaus Neusser

Abstract

The Multiplicative Ergodic Theorem provides a novel general method- ology to analyze rational expectations models with stochastically vary- ing coecients. The approach is applied for the first time to economics and analyzes the canonical New Keynesian model with a Taylor rule which switches randomly between an aggressive and a passive reaction to in ation. The paper delineates the trade-o of the central bank of being passive in some periods and aggressive in others. Moreover, it is shown how this trade-o depends on the stochastic process governing the randomness in the central bank's policy. Finally, explicit solution formulas are derived in the case of determinateness as well as inde- terminateness. In doing so he paper considerably extends the current approach.

Suggested Citation

  • Klaus Neusser, 2018. "The New Keynesian Model with Stochastically Varying Policies," Diskussionsschriften dp1801, Universitaet Bern, Departement Volkswirtschaft.
    • Handle: RePEc:ube:dpvwib:dp1801
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    References listed on IDEAS

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    1. Galí, Jordi, 2011. "Are central banks' projections meaningful?," Journal of Monetary Economics, Elsevier, vol. 58(6), pages 537-550.
    2. Andrew Foerster & Juan F. Rubio-Ramirez & Daniel F. Waggoner & Tao Zha, 2013. "Perturbation methods for Markov-switching DSGE models," FRB Atlanta Working Paper 2013-01, Federal Reserve Bank of Atlanta.
    3. Troy Davig & Eric M. Leeper, 2007. "Generalizing the Taylor Principle," American Economic Review, American Economic Association, vol. 97(3), pages 607-635, June.
    4. Stefan Laséen & Lars E.O. Svensson, 2009. "Anticipated Alternative Instrument-Rate Paths in Policy Simulations," NBER Working Papers 14902, National Bureau of Economic Research, Inc.
    5. Farmer, Roger E.A. & Waggoner, Daniel F. & Zha, Tao, 2011. "Minimal state variable solutions to Markov-switching rational expectations models," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2150-2166.
    6. repec:hal:spmain:info:hdl:2441/644vfdaim38frrvbit4u0bh0ha is not listed on IDEAS
    7. Andrew Foerster & Juan F. Rubio‐Ramírez & Daniel F. Waggoner & Tao Zha, 2016. "Perturbation methods for Markov‐switching dynamic stochastic general equilibrium models," Quantitative Economics, Econometric Society, vol. 7(2), pages 637-669, July.
    8. Chen, Xiaoshan & Leeper, Eric M. & Leith, Campbell, 2015. "US Monetary and Fiscal Policies - Conflict or Cooperation?," SIRE Discussion Papers 2015-77, Scottish Institute for Research in Economics (SIRE).
    9. Dieci, L. & Elia, C., 2008. "SVD algorithms to approximate spectra of dynamical systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 79(4), pages 1235-1254.
    10. Klein, Paul, 2000. "Using the generalized Schur form to solve a multivariate linear rational expectations model," Journal of Economic Dynamics and Control, Elsevier, vol. 24(10), pages 1405-1423, September.
    11. Chen, Xiaoshan & Leeper, Eric M. & Leith, Campbell, 2015. "US Monetary and Fiscal Policies - Conflict or Cooperation?," 2007 Annual Meeting, July 29-August 1, 2007, Portland, Oregon TN 2015-77, American Agricultural Economics Association (New Name 2008: Agricultural and Applied Economics Association).
    12. repec:spo:wpmain:info:hdl:2441/644vfdaim38frrvbit4u0bh0ha is not listed on IDEAS
    13. Evan F. Koenig & Robert Leeson & George A. Kahn (ed.), 2012. "The Taylor Rule and the Transformation of Monetary Policy," Books, Hoover Institution, Stanford University, number 4, July.
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    JEL classification:

    • C02 - Mathematical and Quantitative Methods - - General - - - Mathematical Economics
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E40 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - General
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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