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Measuring Uncertainty of Optimal Simple Monetary Policy Rules in DSGE models

Author

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  • Górajski Mariusz

    (Faculty of Economics and Sociology, University of Lodz)

  • Kuchta Zbigniew

    (Faculty of Economics and Sociology, University of Lodz)

Abstract

This paper presents a new approach to measure the parameter uncertainty for optimal simple monetary policy rules in the New Keynesian dynamic stochastic general equilibrium models. More precisely, we propose a new algorithm which enables to directly introduce parameter uncertainty into the optimal simple precommitment rule problem. As a result we find distributions of the optimal monetary policy reactions and the minimized welfare losses. To compare the distributions of the monetary policy parameters and the welfare losses we apply the first order stochastic dominance ordering (SD1). The SD1 inequality between the probability distribution is verified by means of the Kolmogorov-Smirnov test. The proposed algorithms are applied to the Erceg, Henderson and Levine (2000) small-scale closed economy model estimated for the Polish economy. For the welfare-loss-minimizing central bank, we examine three types of the dynamic specification of its policy rule: backward-, current- and forward-looking. Finally, for a given set of optimal and implementable monetary policy rules, we show that the fully specified forward-looking monetary policy rule with interest rate smoothing mechanism minimizes the welfare-loss in the sense of the stochastic ordering SD1.

Suggested Citation

  • Górajski Mariusz & Kuchta Zbigniew, 2018. "Measuring Uncertainty of Optimal Simple Monetary Policy Rules in DSGE models," Lodz Economics Working Papers 6/2018, University of Lodz, Faculty of Economics and Sociology.
  • Handle: RePEc:ann:wpaper:6/2018
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    File URL: http://hdl.handle.net/11089/26083
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    1. 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.
    2. Jesús Fernández-Villaverde, 2010. "The econometrics of DSGE models," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 1(1), pages 3-49, March.
    3. Frank Smets & Rafael Wouters, 2007. "Shocks and Frictions in US Business Cycles: A Bayesian DSGE Approach," American Economic Review, American Economic Association, vol. 97(3), pages 586-606, June.
    4. Smith, A A, Jr, 1993. "Estimating Nonlinear Time-Series Models Using Simulated Vector Autoregressions," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 8(S), pages 63-84, Suppl. De.
    5. Kolasa, Marcin, 2009. "Structural heterogeneity or asymmetric shocks? Poland and the euro area through the lens of a two-country DSGE model," Economic Modelling, Elsevier, vol. 26(6), pages 1245-1269, November.
    6. Schmitt-Grohé, Stephanie & Uribe, Martín, 2004. "Optimal Operational Monetary Policy in the Christiano-Eichenbaum-Evans Model of the US Business Cycle," CEPR Discussion Papers 4654, C.E.P.R. Discussion Papers.
    7. Rabanal, Pau & Rubio-Ramirez, Juan F., 2005. "Comparing New Keynesian models of the business cycle: A Bayesian approach," Journal of Monetary Economics, Elsevier, vol. 52(6), pages 1151-1166, September.
    8. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-450, June.
    9. Kendrick, David A., 2005. "Stochastic control for economic models: past, present and the paths ahead," Journal of Economic Dynamics and Control, Elsevier, vol. 29(1-2), pages 3-30, January.
    10. Svensson, Lars E. O., 1997. "Inflation forecast targeting: Implementing and monitoring inflation targets," European Economic Review, Elsevier, vol. 41(6), pages 1111-1146, June.
    11. Duffie, Darrell & Singleton, Kenneth J, 1993. "Simulated Moments Estimation of Markov Models of Asset Prices," Econometrica, Econometric Society, vol. 61(4), pages 929-952, July.
    12. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
    13. Yun, Tack, 1996. "Nominal price rigidity, money supply endogeneity, and business cycles," Journal of Monetary Economics, Elsevier, vol. 37(2-3), pages 345-370, April.
    14. Adolfson, Malin & Laseen, Stefan & Linde, Jesper & Villani, Mattias, 2007. "Bayesian estimation of an open economy DSGE model with incomplete pass-through," Journal of International Economics, Elsevier, vol. 72(2), pages 481-511, July.
    15. Christopher J. Erceg & Dale W. Henderson & Andrew T. Levin, 2019. "Optimal Monetary Policy with Staggered Wage and Price Contracts," Credit and Capital Markets, Credit and Capital Markets, vol. 52(4), pages 537-571.
    16. Alan S. Blinder, 1999. "Central Banking in Theory and Practice," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262522608, December.
    17. Pau Rabanal & Juan Rubio-Ramírez, 2008. "Comparing new Keynesian models in the Euro area: a Bayesian approach," Spanish Economic Review, Springer;Spanish Economic Association, vol. 10(1), pages 23-40, March.
    18. Alejandro Justiniano & Bruce Preston, 2010. "Monetary policy and uncertainty in an empirical small open-economy model," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 25(1), pages 93-128.
    19. Marc P. Giannoni, 2007. "Robust optimal monetary policy in a forward-looking model with parameter and shock uncertainty," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 22(1), pages 179-213.
    20. Frank Smets & Raf Wouters, 2003. "An Estimated Dynamic Stochastic General Equilibrium Model of the Euro Area," Journal of the European Economic Association, MIT Press, vol. 1(5), pages 1123-1175, September.
    21. Svensson, Lars E. O., 1999. "Inflation targeting as a monetary policy rule," Journal of Monetary Economics, Elsevier, vol. 43(3), pages 607-654, June.
    22. John B. Taylor, 1999. "A Historical Analysis of Monetary Policy Rules," NBER Chapters, in: Monetary Policy Rules, pages 319-348, National Bureau of Economic Research, Inc.
    23. John B. Taylor, 1999. "Introduction to "Monetary Policy Rules"," NBER Chapters, in: Monetary Policy Rules, pages 1-14, National Bureau of Economic Research, Inc.
    24. Alan Greenspan, 2004. "Risk and Uncertainty in Monetary Policy," American Economic Review, American Economic Association, vol. 94(2), pages 33-40, May.
    25. John B. Taylor, 1999. "Monetary Policy Rules," NBER Books, National Bureau of Economic Research, Inc, number tayl99-1, May.
    26. Onatski, Alexei & Stock, James H., 2002. "Robust Monetary Policy Under Model Uncertainty In A Small Model Of The U.S. Economy," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 85-110, February.
    27. Pawel Baranowski & Zbigniew Kuchta, 2015. "Changes in nominal rigidities in Poland – a regime switching DSGE perspective," Lodz Economics Working Papers 6/2015, University of Lodz, Faculty of Economics and Sociology.
    28. Schmitt-Grohe, Stephanie & Uribe, Martin, 2004. "Solving dynamic general equilibrium models using a second-order approximation to the policy function," Journal of Economic Dynamics and Control, Elsevier, vol. 28(4), pages 755-775, January.
    29. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 2005. "Nominal Rigidities and the Dynamic Effects of a Shock to Monetary Policy," Journal of Political Economy, University of Chicago Press, vol. 113(1), pages 1-45, February.
    30. Altug, Sumru, 1989. "Time-to-Build and Aggregate Fluctuations: Some New Evidence," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 30(4), pages 889-920, November.
    31. Cogley, Timothy & De Paoli, Bianca & Matthes, Christian & Nikolov, Kalin & Yates, Tony, 2011. "A Bayesian approach to optimal monetary policy with parameter and model uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 35(12), pages 2186-2212.
    32. Giannoni, Marc P., 2002. "Does Model Uncertainty Justify Caution? Robust Optimal Monetary Policy In A Forward-Looking Model," Macroeconomic Dynamics, Cambridge University Press, vol. 6(1), pages 111-144, February.
    33. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    34. Levine, Paul & McAdam, Peter & Pearlman, Joseph, 2012. "Probability models and robust policy rules," European Economic Review, Elsevier, vol. 56(2), pages 246-262.
    35. Pawel Baranowski & Mariusz Gorajski & Maciej Malaczewski & Grzegorz Szafranski, 2013. "Inflation in Poland under state-dependent pricing," Discussion Papers 83, Aboa Centre for Economics.
    36. David N. DeJong & Chetan Dave, 2007. "Introduction to Structural Macroeconometrics," Introductory Chapters, in: Structural Macroeconometrics, Princeton University Press.
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    More about this item

    Keywords

    optimal monetary policy; DSGE; uncertainty;
    All these keywords.

    JEL classification:

    • E47 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Forecasting and Simulation: Models and Applications
    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy

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