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Should we use linearized models to calculate fiscal multipliers?

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  • Jesper Lindé
  • Mathias Trabandt

Abstract

We calculate the magnitude of the government consumption multiplier in linearized and nonlinear solutions of a New Keynesian model at the zero lower bound. Importantly, the model is amended with real rigidities to simultaneously account for the macroeconomic evidence of a low Phillips curve slope and the microeconomic evidence of frequent price changes. We show that the nonlinear solution is associated with a much smaller multiplier than the linearized solution in long‐lived liquidity traps, and pin down the key features in the model which account for the difference. Our results caution against the common practice of using linearized models to calculate fiscal multipliers in long‐lived liquidity traps.

Suggested Citation

  • Jesper Lindé & Mathias Trabandt, 2018. "Should we use linearized models to calculate fiscal multipliers?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 33(7), pages 937-965, November.
  • Handle: RePEc:wly:japmet:v:33:y:2018:i:7:p:937-965
    DOI: 10.1002/jae.2641
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    1. Simon Gilchrist & Raphael Schoenle & Jae Sim & Egon Zakrajšek, 2017. "Inflation Dynamics during the Financial Crisis," American Economic Review, American Economic Association, vol. 107(3), pages 785-823, March.
    2. Adam, Klaus & Billi, Roberto M., 2006. "Optimal Monetary Policy under Commitment with a Zero Bound on Nominal Interest Rates," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 38(7), pages 1877-1905, October.
    3. Lawrence J. Christiano & Martin S. Eichenbaum & Mathias Trabandt, 2016. "Unemployment and Business Cycles," Econometrica, Econometric Society, vol. 84, pages 1523-1569, July.
    4. Huixin Bi & Eric M. Leeper & Campbell Leith, 2013. "Uncertain Fiscal Consolidations," Economic Journal, Royal Economic Society, vol. 0, pages 31-63, February.
    5. Mariano Kulish & Adrian Pagan, 2017. "Estimation and Solution of Models with Expectations and Structural Changes," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 32(2), pages 255-274, March.
    6. Benhabib, Jess & Schmitt-Grohe, Stephanie & Uribe, Martin, 2001. "The Perils of Taylor Rules," Journal of Economic Theory, Elsevier, vol. 96(1-2), pages 40-69, January.
    7. Lawrence J. Christiano & Martin S. Eichenbaum & Mathias Trabandt, 2016. "Unemployment and Business Cycles," Econometrica, Econometric Society, vol. 84(4), pages 1523-1569, July.
    8. Fernández-Villaverde, Jesús & Gordon, Grey & Guerrón-Quintana, Pablo & Rubio-Ramírez, Juan F., 2015. "Nonlinear adventures at the zero lower bound," Journal of Economic Dynamics and Control, Elsevier, vol. 57(C), pages 182-204.
    9. Alexander W. Richter & Nathaniel A. Throckmorton, 2016. "Are nonlinear methods necessary at the zero lower bound?," Working Papers 1606, Federal Reserve Bank of Dallas.
    10. Levin, Andrew & López-Salido, J David & Yun, Tack, 2007. "Strategic Complementarities and Optimal Monetary Policy," CEPR Discussion Papers 6423, C.E.P.R. Discussion Papers.
    11. Aruoba, S. Borağan & Bocola, Luigi & Schorfheide, Frank, 2017. "Assessing DSGE model nonlinearities," Journal of Economic Dynamics and Control, Elsevier, vol. 83(C), pages 34-54.
    12. Roberto Perotti, 2008. "In Search of the Transmission Mechanism of Fiscal Policy," NBER Chapters, in: NBER Macroeconomics Annual 2007, Volume 22, pages 169-226, National Bureau of Economic Research, Inc.
    13. Christiano, Lawrence & Motto, Roberto & Rostagno, Massimo, 2008. "Shocks, structures or monetary policies? The Euro Area and US after 2001," Journal of Economic Dynamics and Control, Elsevier, vol. 32(8), pages 2476-2506, August.
    14. Valerie A. Ramey, 2011. "Identifying Government Spending Shocks: It's all in the Timing," The Quarterly Journal of Economics, Oxford University Press, vol. 126(1), pages 1-50.
    15. Eggertsson, Gauti B. & Singh, Sanjay R., 2019. "Log-linear approximation versus an exact solution at the ZLB in the New Keynesian model," Journal of Economic Dynamics and Control, Elsevier, vol. 105(C), pages 21-43.
    16. Fair, Ray C & Taylor, John B, 1983. "Solution and Maximum Likelihood Estimation of Dynamic Nonlinear Rational Expectations Models," Econometrica, Econometric Society, vol. 51(4), pages 1169-1185, July.
    17. Davig, Troy & Leeper, Eric M., 2011. "Monetary-fiscal policy interactions and fiscal stimulus," European Economic Review, Elsevier, vol. 55(2), pages 211-227, February.
    18. Davig, Troy & Leeper, Eric M., 2011. "Monetary-fiscal policy interactions and fiscal stimulus," European Economic Review, Elsevier, vol. 55(2), pages 211-227, February.
    19. Dupor, Bill & Li, Rong, 2015. "The expected inflation channel of government spending in the postwar U.S," European Economic Review, Elsevier, vol. 74(C), pages 36-56.
    20. Kenneth L. Judd, 1998. "Numerical Methods in Economics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262100711, September.
    21. Adam, Klaus & Billi, Roberto M., 2007. "Discretionary monetary policy and the zero lower bound on nominal interest rates," Journal of Monetary Economics, Elsevier, vol. 54(3), pages 728-752, April.
    22. David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2011. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 225-247, April.
    23. Christopher J. Erceg & Luca Guerrieri & Christopher Gust, 2006. "SIGMA: A New Open Economy Model for Policy Analysis," International Journal of Central Banking, International Journal of Central Banking, vol. 2(1), March.
    24. Kenneth L. Judd & Lilia Maliar & Serguei Maliar, 2011. "Numerically stable and accurate stochastic simulation approaches for solving dynamic economic models," Quantitative Economics, Econometric Society, vol. 2(2), pages 173-210, July.
    25. Guerrieri, Luca & Iacoviello, Matteo, 2015. "OccBin: A toolkit for solving dynamic models with occasionally binding constraints easily," Journal of Monetary Economics, Elsevier, vol. 70(C), pages 22-38.
    26. Gauti B. Eggertsson, 2008. "Great Expectations and the End of the Depression," American Economic Review, American Economic Association, vol. 98(4), pages 1476-1516, September.
    27. Dotsey, Michael & King, Robert G., 2005. "Implications of state-dependent pricing for dynamic macroeconomic models," Journal of Monetary Economics, Elsevier, vol. 52(1), pages 213-242, January.
    28. Cogan, John F. & Cwik, Tobias & Taylor, John B. & Wieland, Volker, 2010. "New Keynesian versus old Keynesian government spending multipliers," Journal of Economic Dynamics and Control, Elsevier, vol. 34(3), pages 281-295, March.
    29. S Borağan Aruoba & Pablo Cuba-Borda & Frank Schorfheide, 2018. "Macroeconomic Dynamics Near the ZLB: A Tale of Two Countries," Review of Economic Studies, Oxford University Press, vol. 85(1), pages 87-118.
    30. Jordan Roulleau-Pasdeloup, 2016. "The Government Spending Multiplier in a Deep Recession," Cahiers de Recherches Economiques du Département d'économie 16.22, Université de Lausanne, Faculté des HEC, Département d’économie.
    31. Taisuke Nakata, 2017. "Uncertainty at the Zero Lower Bound," American Economic Journal: Macroeconomics, American Economic Association, vol. 9(3), pages 186-221, July.
    32. Lawrence Christiano & Martin Eichenbaum & Sergio Rebelo, 2011. "When Is the Government Spending Multiplier Large?," Journal of Political Economy, University of Chicago Press, vol. 119(1), pages 78-121.
    33. Galí, Jordi & Gertler, Mark, 1999. "Inflation Dynamics: A Structural Economic Analysis," CEPR Discussion Papers 2246, C.E.P.R. Discussion Papers.
    34. Gali, Jordi & Gertler, Mark & Lopez-Salido, J. David, 2001. "European inflation dynamics," European Economic Review, Elsevier, vol. 45(7), pages 1237-1270.
    35. Christopher Erceg & Jesper Lindé, 2014. "Is There A Fiscal Free Lunch In A Liquidity Trap?," Journal of the European Economic Association, European Economic Association, vol. 12(1), pages 73-107, February.
    36. 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.
    37. Lawrence J. Christiano & Martin S. Eichenbaum & Mathias Trabandt, 2015. "Understanding the Great Recession," American Economic Journal: Macroeconomics, American Economic Association, vol. 7(1), pages 110-167, January.
    38. Traum, Nora & Yang, Shu-Chun S., 2011. "Monetary and fiscal policy interactions in the post-war U.S," European Economic Review, Elsevier, vol. 55(1), pages 140-164, January.
    39. Christopher Gust & Edward Herbst & David López-Salido & Matthew E. Smith, 2017. "The Empirical Implications of the Interest-Rate Lower Bound," American Economic Review, American Economic Association, vol. 107(7), pages 1971-2006, July.
    40. Bernanke, Ben S. & Gertler, Mark & Gilchrist, Simon, 1999. "The financial accelerator in a quantitative business cycle framework," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 21, pages 1341-1393, Elsevier.
    41. Ascari, Guido & Ropele, Tiziano, 2007. "Optimal monetary policy under low trend inflation," Journal of Monetary Economics, Elsevier, vol. 54(8), pages 2568-2583, November.
    42. Karel R. S. M. Mertens & Morten O. Ravn, 2014. "Fiscal Policy in an Expectations-Driven Liquidity Trap," Review of Economic Studies, Oxford University Press, vol. 81(4), pages 1637-1667.
    43. Robert E. Hall, 2009. "By How Much Does GDP Rise If the Government Buys More Output?," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 40(2 (Fall)), pages 183-249.
    44. Jung, Taehun & Teranishi, Yuki & Watanabe, Tsutomu, 2005. "Optimal Monetary Policy at the Zero-Interest-Rate Bound," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 37(5), pages 813-835, October.
    45. 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.
    46. Boneva, Lena Mareen & Braun, R. Anton & Waki, Yuichiro, 2016. "Some unpleasant properties of loglinearized solutions when the nominal rate is zero," Journal of Monetary Economics, Elsevier, vol. 84(C), pages 216-232.
    47. Günter Coenen & Christopher J. Erceg & Charles Freedman & Davide Furceri & Michael Kumhof & René Lalonde & Douglas Laxton & Jesper Lindé & Annabelle Mourougane & Dirk Muir & Susanna Mursula & Carlos d, 2012. "Effects of Fiscal Stimulus in Structural Models," American Economic Journal: Macroeconomics, American Economic Association, vol. 4(1), pages 22-68, January.
    48. Pontus Rendahl, 2016. "Fiscal Policy in an Unemployment Crisis," Review of Economic Studies, Oxford University Press, vol. 83(3), pages 1189-1224.
    49. Olivier Blanchard & Roberto Perotti, 2002. "An Empirical Characterization of the Dynamic Effects of Changes in Government Spending and Taxes on Output," The Quarterly Journal of Economics, Oxford University Press, vol. 117(4), pages 1329-1368.
    50. Emi Nakamura & Jón Steinsson, 2008. "Five Facts about Prices: A Reevaluation of Menu Cost Models," The Quarterly Journal of Economics, Oxford University Press, vol. 123(4), pages 1415-1464.
    51. Calvo, Guillermo A., 1983. "Staggered prices in a utility-maximizing framework," Journal of Monetary Economics, Elsevier, vol. 12(3), pages 383-398, September.
    52. Malin Adolfson & Stefan Laséen & Jesper Lindé & Mattias Villani, 2005. "The Role of Sticky Prices in an Open Economy DSGE Model: A Bayesian Investigation," Journal of the European Economic Association, MIT Press, vol. 3(2-3), pages 444-457, 04/05.
    53. Gali, Jordi & Gertler, Mark, 1999. "Inflation dynamics: A structural econometric analysis," Journal of Monetary Economics, Elsevier, vol. 44(2), pages 195-222, October.
    54. 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.
    55. Kimball, Miles S, 1995. "The Quantitative Analytics of the Basic Neomonetarist Model," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 27(4), pages 1241-1277, November.
    56. Olivier Blanchard & Christopher J. Erceg & Jesper Lindé, 2017. "Jump-Starting the Euro-Area Recovery: Would a Rise in Core Fiscal Spending Help the Periphery?," NBER Macroeconomics Annual, University of Chicago Press, vol. 31(1), pages 103-182.
    57. Bodenstein, Martin & Hebden, James & Nunes, Ricardo, 2012. "Imperfect credibility and the zero lower bound," Journal of Monetary Economics, Elsevier, vol. 59(2), pages 135-149.
    58. Klenow, Peter J. & Malin, Benjamin A., 2010. "Microeconomic Evidence on Price-Setting," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 6, pages 231-284, Elsevier.
    59. Christopher J. Gust & Edward Herbst & J. David López-Salido & Matthew E. Smith, 2012. "The Empirical Implications of the Interest-Rate Lower Bound," Finance and Economics Discussion Series 2012-83, Board of Governors of the Federal Reserve System (U.S.).
    60. Pascal Michaillat, 2014. "A Theory of Countercyclical Government Multiplier," American Economic Journal: Macroeconomics, American Economic Association, vol. 6(1), pages 190-217, January.
    61. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
    62. David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2011. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 225-247, April.
    63. 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.
    64. Coleman, Wilbur John, II, 1990. "Solving the Stochastic Growth Model by Policy-Function Iteration," Journal of Business & Economic Statistics, American Statistical Association, vol. 8(1), pages 27-29, January.
    65. 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.
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    JEL classification:

    • E52 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Monetary Policy
    • E58 - Macroeconomics and Monetary Economics - - Monetary Policy, Central Banking, and the Supply of Money and Credit - - - Central Banks and Their Policies

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