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Decomposing the Fiscal Multiplier

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Abstract
Unusual circumstances often coincide with unusual fiscal policy actions. Much attention has been paid to estimates of how fiscal policy affects the macroeconomy, but these are typically average treatment effects. In practice, the fiscal “multiplier” at any point in time depends on the monetary policy response. Using the IMF fiscal consolidations dataset for identification and a new decomposition-based approach, we show how to evaluate these monetary-fiscal effects. In the data, the fiscal multiplier varies considerably with monetary policy: it can be zero, or as large as 2 depending on the monetary offset. We show how to decompose the typical macro impulse response function into (1) the direct effect of the intervention on the outcome; (2) the indirect effect due to changes in how other covariates affect the outcome when there is an intervention; and (3) a composition effect due to differences in covariates between treated and control subpopulations. This Blinder-Oaxaca-type decomposition provides convenient way to evaluate the effects of policy, state-dependence, and balance conditions for identification.

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  • James Cloyne & Òscar Jordà & Alan M. Taylor, 2020. "Decomposing the Fiscal Multiplier," Working Paper Series 2020-12, Federal Reserve Bank of San Francisco.
  • Handle: RePEc:fip:fedfwp:87713
    DOI: 10.24148/wp2020-12
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    1. Alan J. Auerbach & Yuriy Gorodnichenko, 2012. "Measuring the Output Responses to Fiscal Policy," American Economic Journal: Economic Policy, American Economic Association, vol. 4(2), pages 1-27, May.
    2. Leeper, Eric M. & Plante, Michael & Traum, Nora, 2010. "Dynamics of fiscal financing in the United States," Journal of Econometrics, Elsevier, vol. 156(2), pages 304-321, June.
    3. Karel Mertens & Morten O. Ravn, 2013. "The Dynamic Effects of Personal and Corporate Income Tax Changes in the United States," American Economic Review, American Economic Association, vol. 103(4), pages 1212-1247, June.
    4. Jordà, Òscar & Schularick, Moritz & Taylor, Alan M., 2020. "The effects of quasi-random monetary experiments," Journal of Monetary Economics, Elsevier, vol. 112(C), pages 22-40.
    5. Riera-Crichton, Daniel & Vegh, Carlos A. & Vuletin, Guillermo, 2015. "Procyclical and countercyclical fiscal multipliers: Evidence from OECD countries," Journal of International Money and Finance, Elsevier, vol. 52(C), pages 15-31.
    6. Silvana Tenreyro & Gregory Thwaites, 2016. "Pushing on a String: US Monetary Policy Is Less Powerful in Recessions," American Economic Journal: Macroeconomics, American Economic Association, vol. 8(4), pages 43-74, October.
    7. Òscar Jordà & Moritz Schularick & Alan M. Taylor, 2017. "Macrofinancial History and the New Business Cycle Facts," NBER Macroeconomics Annual, University of Chicago Press, vol. 31(1), pages 213-263.
    8. Joshua D. Angrist & Òscar Jordà & Guido M. Kuersteiner, 2018. "Semiparametric Estimates of Monetary Policy Effects: String Theory Revisited," Journal of Business & Economic Statistics, Taylor & Francis Journals, vol. 36(3), pages 371-387, July.
    9. James Cloyne & Nicholas Dimsdale & Natacha Postel-Vinay, 2018. "Taxes and Growth: New Narrative Evidence from Interwar Britain," NBER Working Papers 24659, National Bureau of Economic Research, Inc.
    10. Crafts, Nicholas & Mills, Terence C., 2013. "Rearmament to the Rescue? New Estimates of the Impact of “Keynesian” Policies in 1930s' Britain," The Journal of Economic History, Cambridge University Press, vol. 73(4), pages 1077-1104, December.
    11. Gabriel Chodorow-Reich, 2019. "Geographic Cross-Sectional Fiscal Spending Multipliers: What Have We Learned?," American Economic Journal: Economic Policy, American Economic Association, vol. 11(2), pages 1-34, May.
    12. repec:oup:ecpoli:v:27:y:2012:i:72:p:521-565 is not listed on IDEAS
    13. Christiano, Lawrence J. & Eichenbaum, Martin & Evans, Charles L., 1999. "Monetary policy shocks: What have we learned and to what end?," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 2, pages 65-148, Elsevier.
    14. Raphael Corbi & Elias Papaioannou & Paolo Surico, 2019. "Regional Transfer Multipliers," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(5), pages 1901-1934.
    15. Christina D. Romer & David H. Romer, 2010. "The Macroeconomic Effects of Tax Changes: Estimates Based on a New Measure of Fiscal Shocks," American Economic Review, American Economic Association, vol. 100(3), pages 763-801, June.
    16. Ramey, V.A., 2016. "Macroeconomic Shocks and Their Propagation," Handbook of Macroeconomics, in: J. B. Taylor & Harald Uhlig (ed.), Handbook of Macroeconomics, edition 1, volume 2, chapter 0, pages 71-162, Elsevier.
    17. Jordi Galí & J. David López-Salido & Javier Vallés, 2007. "Understanding the Effects of Government Spending on Consumption," Journal of the European Economic Association, MIT Press, vol. 5(1), pages 227-270, March.
    18. Òscar Jordà & Alan M. Taylor, 2016. "The Time for Austerity: Estimating the Average Treatment Effect of Fiscal Policy," Economic Journal, Royal Economic Society, vol. 126(590), pages 219-255, February.
    19. Anh D. M. Nguyen & Luisanna Onnis & Raffaele Rossi, 2021. "The Macroeconomic Effects of Income and Consumption Tax Changes," American Economic Journal: Economic Policy, American Economic Association, vol. 13(2), pages 439-466, May.
    20. Jeffrey M Wooldridge, 2010. "Econometric Analysis of Cross Section and Panel Data," MIT Press Books, The MIT Press, edition 2, volume 1, number 0262232588, April.
    21. Fortin, Nicole & Lemieux, Thomas & Firpo, Sergio, 2011. "Decomposition Methods in Economics," Handbook of Labor Economics, in: O. Ashenfelter & D. Card (ed.), Handbook of Labor Economics, edition 1, volume 4, chapter 1, pages 1-102, Elsevier.
    22. Andrew Mountford & Harald Uhlig, 2009. "What are the effects of fiscal policy shocks?," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 24(6), pages 960-992.
    23. 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.
    24. Oaxaca, Ronald, 1973. "Male-Female Wage Differentials in Urban Labor Markets," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 14(3), pages 693-709, October.
    25. Eric M. Leeper & Nora Traum & Todd B. Walker, 2017. "Clearing Up the Fiscal Multiplier Morass," American Economic Review, American Economic Association, vol. 107(8), pages 2409-2454, August.
    26. repec:oup:ecpoli:v:26:y:2011:i:68:p:555-598 is not listed on IDEAS
    27. Fabio Canova & Evi Pappa, 2011. "Fiscal policy, pricing frictions and monetary accommodation [Expansionary fiscal consolidations in Europe: New evidence]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 26(68), pages 555-598.
    28. Antonio Acconcia & Giancarlo Corsetti & Saverio Simonelli, 2014. "Mafia and Public Spending: Evidence on the Fiscal Multiplier from a Quasi-experiment," American Economic Review, American Economic Association, vol. 104(7), pages 2185-2209, July.
    29. Giancarlo Corsetti & André Meier & Gernot J. Müller, 2012. "What determines government spending multipliers? [Mafia and public spending: Evidence of the fiscal multiplier from a quasi-experiment’, mimeo]," Economic Policy, CEPR, CESifo, Sciences Po;CES;MSH, vol. 27(72), pages 521-565.
    30. Gunter, Samara & Riera-Crichton, Daniel & Vegh, Carlos A. & Vuletin, Guillermo, 2021. "Non-linear effects of tax changes on output: The role of the initial level of taxation," Journal of International Economics, Elsevier, vol. 131(C).
    31. Ilzetzki, Ethan & Mendoza, Enrique G. & Végh, Carlos A., 2013. "How big (small?) are fiscal multipliers?," Journal of Monetary Economics, Elsevier, vol. 60(2), pages 239-254.
    32. James S. Cloyne & Paolo Surico, 2017. "Household Debt and the Dynamic Effects of Income Tax Changes," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 84(1), pages 45-81.
    33. Michael Woodford, 2011. "Simple Analytics of the Government Expenditure Multiplier," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 1-35, January.
    34. Wataru Miyamoto & Thuy Lan Nguyen & Dmitriy Sergeyev, 2018. "Government Spending Multipliers under the Zero Lower Bound: Evidence from Japan," American Economic Journal: Macroeconomics, American Economic Association, vol. 10(3), pages 247-277, July.
    35. Jaime Guajardo & Daniel Leigh & Andrea Pescatori, 2014. "Expansionary Austerity? International Evidence," Journal of the European Economic Association, European Economic Association, vol. 12(4), pages 949-968, August.
    36. Emi Nakamura & J?n Steinsson, 2014. "Fiscal Stimulus in a Monetary Union: Evidence from US Regions," American Economic Review, American Economic Association, vol. 104(3), pages 753-792, March.
    37. Alan S. Blinder, 1973. "Wage Discrimination: Reduced Form and Structural Estimates," Journal of Human Resources, University of Wisconsin Press, vol. 8(4), pages 436-455.
    38. Giancarlo Corsetti & Keith Kuester & André Meier & Gernot J. Müller, 2010. "Debt Consolidation and Fiscal Stabilization of Deep Recessions," American Economic Review, American Economic Association, vol. 100(2), pages 41-45, May.
    39. James Cloyne & Nicholas Dimsdale & Natacha Postel-Vinay, 2024. "Taxes and Growth: New Narrative Evidence from Interwar Britain," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 91(4), pages 2168-2200.
    40. Bachmann, Rüdiger & Sims, Eric R., 2012. "Confidence and the transmission of government spending shocks," Journal of Monetary Economics, Elsevier, vol. 59(3), pages 235-249.
    41. Robert J. Barro & Charles J. Redlick, 2011. "Macroeconomic Effects From Government Purchases and Taxes," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 126(1), pages 51-102.
    42. 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, President and Fellows of Harvard College, vol. 117(4), pages 1329-1368.
    43. Adam M Guren & Alisdair McKay & Emi Nakamura & Jón Steinsson, 2021. "Housing Wealth Effects: The Long View," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 88(2), pages 669-707.
    44. James Cloyne, 2013. "Discretionary Tax Changes and the Macroeconomy: New Narrative Evidence from the United Kingdom," American Economic Review, American Economic Association, vol. 103(4), pages 1507-1528, June.
    45. Gauti B. Eggertsson, 2011. "What Fiscal Policy Is Effective at Zero Interest Rates?," NBER Chapters, in: NBER Macroeconomics Annual 2010, volume 25, pages 59-112, National Bureau of Economic Research, Inc.
    46. Acemoglu, Daron & Woodford, Michael (ed.), 2011. "NBER Macroeconomics Annual 2010," National Bureau of Economic Research Books, University of Chicago Press, number 9780226002125, July.
    47. Born, Benjamin & Juessen, Falko & Müller, Gernot J., 2013. "Exchange rate regimes and fiscal multipliers," Journal of Economic Dynamics and Control, Elsevier, vol. 37(2), pages 446-465.
    48. Òscar Jordà, 2005. "Estimation and Inference of Impulse Responses by Local Projections," American Economic Review, American Economic Association, vol. 95(1), pages 161-182, March.
    49. Hussain Syed M. & Liu Lin, 2018. "Comparing the effects of discretionary tax changes between the US and the UK," The B.E. Journal of Macroeconomics, De Gruyter, vol. 18(1), pages 1-17, January.
    50. J. Bradford DeLong & Lawrence H. Summers, 2012. "Fiscal Policy in a Depressed Economy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 44(1 (Spring), pages 233-297.
    51. J. B. Taylor & Harald Uhlig (ed.), 2016. "Handbook of Macroeconomics," Handbook of Macroeconomics, Elsevier, edition 1, volume 2, number 2.
    52. repec:oup:restud:v:84:y::i:1:p:45-81. is not listed on IDEAS
    53. Bernd Hayo & Matthias Uhl, 2014. "The macroeconomic effects of legislated tax changes in Germany," Oxford Economic Papers, Oxford University Press, vol. 66(2), pages 397-418.
    54. Hussain Syed M. & Liu Lin, 2018. "Comparing the effects of discretionary tax changes between the US and the UK," The B.E. Journal of Macroeconomics, De Gruyter, vol. 18(1), pages 1-17, January.
    55. Valerie A. Ramey & Sarah Zubairy, 2018. "Government Spending Multipliers in Good Times and in Bad: Evidence from US Historical Data," Journal of Political Economy, University of Chicago Press, vol. 126(2), pages 850-901.
    56. Mr. Daniel Leigh & Mr. Andrea Pescatori & Mr. Jaime Guajardo, 2011. "Expansionary Austerity New International Evidence," IMF Working Papers 2011/158, International Monetary Fund.
    57. J. Bradford DeLong & Lawrence H. Summers, 2012. "Fiscal Policy in a Depressed Economy," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 43(1 (Spring), pages 233-297.
    58. Harald Uhlig, 2010. "Some Fiscal Calculus," American Economic Review, American Economic Association, vol. 100(2), pages 30-34, May.
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    Cited by:

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    2. Ghassibe, Mishel & Zanetti, Francesco, 2022. "State dependence of fiscal multipliers: the source of fluctuations matters," Journal of Monetary Economics, Elsevier, vol. 132(C), pages 1-23.
    3. Ortmans, Aymeric & Tripier, Fabien, 2021. "COVID-induced sovereign risk in the euro area: When did the ECB stop the spread?," European Economic Review, Elsevier, vol. 137(C).
    4. Hristov, Nikolay & Hülsewig, Oliver & Kolb, Benedikt, 2024. "Macroprudential capital regulation and fiscal balances in the euro area," Journal of International Money and Finance, Elsevier, vol. 143(C).
    5. Alloza, Mario & Sanz, Carlos, 2019. "Dynamic Effects of Persistent Shocks," UC3M Working papers. Economics 29187, Universidad Carlos III de Madrid. Departamento de Economía.
    6. Jordà, Òscar & Nechio, Fernanda, 2023. "Inflation and wage growth since the pandemic," European Economic Review, Elsevier, vol. 156(C).
    7. Magud, Nicolas E. & Pienknagura, Samuel, 2024. "The return of expansionary austerity: Firms' investment response to fiscal adjustments in emerging markets," Journal of International Money and Finance, Elsevier, vol. 143(C).
    8. Joseph Kopecky, 2021. "The Age for Austerity? Population Age Structure and Fiscal Multipliers," Trinity Economics Papers tep1621, Trinity College Dublin, Department of Economics.
    9. Kopecky, Joseph, 2022. "The age for austerity? Population age structure and fiscal consolidation multipliers," Journal of Macroeconomics, Elsevier, vol. 73(C).
    10. Pallante, Gianluca & Russo, Emanuele & Roventini, Andrea, 2023. "Does public R&D funding crowd-in private R&D investment? Evidence from military R&D expenditures for US states," Research Policy, Elsevier, vol. 52(8).
    11. Miller, Keaton & Wilson, Wesley W., 2023. "Changes in rail rates for U.S. commodity grain shipments over time," Research in Transportation Economics, Elsevier, vol. 102(C).
    12. Angela Köppl & Margit Schratzenstaller, 2022. "Macroeconomic Effects of Green Recovery Programmes. Conceptual Framing and a Review of the Empirical Literature," WIFO Working Papers 646, WIFO.

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    More about this item

    Keywords

    Blinder-Oaxaca decomposition; local projections; interest rates; fiscal policy; state-dependence; balance; identification;
    All these keywords.

    JEL classification:

    • C54 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Quantitative Policy Modeling
    • C99 - Mathematical and Quantitative Methods - - Design of Experiments - - - Other
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • E62 - Macroeconomics and Monetary Economics - - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook - - - Fiscal Policy; Modern Monetary Theory
    • H20 - Public Economics - - Taxation, Subsidies, and Revenue - - - General
    • H5 - Public Economics - - National Government Expenditures and Related Policies
    • N10 - Economic History - - Macroeconomics and Monetary Economics; Industrial Structure; Growth; Fluctuations - - - General, International, or Comparative

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