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Fiscal multipliers under an interest rate peg of deterministic vs. stochastic duration

Author

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  • Carlstrom, Charles T
  • Fuerst, Timothy S
  • Paustian, Matthias

    () (Federal Reserve Bank of Cleveland)

Abstract

This paper revisits the size of the fiscal multiplier. The experiment is a fiscal expansion under the assumption of a pegged nominal rate of interest. We demonstrate that a quantitatively important issue is the articulation of the exit from the policy experiment. If the monetary-fiscal expansion is stochastic with a mean duration of T periods, the fiscal multiplier can be unboundedly large. However, if the monetary-fiscal expansion is for a fixed T periods, the multiplier is much smaller. Our explanation rests on a Jensen’s inequality type argument: the deterministic multiplier is convex in duration, and the stochastic multiplier is a weighted average of the deterministic multipliers. The quantitative difference in the two multipliers also arises in a model with capital, and in the baseline nonlinear model. However, the differences between the two is less pronounced in the nonlinear models.

Suggested Citation

  • Carlstrom, Charles T & Fuerst, Timothy S & Paustian, Matthias, 2012. "Fiscal multipliers under an interest rate peg of deterministic vs. stochastic duration," Working Paper 1235, Federal Reserve Bank of Cleveland.
  • Handle: RePEc:fip:fedcwp:1235
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    References listed on IDEAS

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    1. Fujiwara, Ippei & Nakajima, Tomoyuki & Sudo, Nao & Teranishi, Yuki, 2013. "Global liquidity trap," Journal of Monetary Economics, Elsevier, vol. 60(8), pages 936-949.
    2. Fujiwara, Ippei & Ueda, Kozo, 2013. "The fiscal multiplier and spillover in a global liquidity trap," Journal of Economic Dynamics and Control, Elsevier, vol. 37(7), pages 1264-1283.
    3. Thorsten Drautzburg & Harald Uhlig, 2015. "Fiscal Stimulus and Distortionary Taxation," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 18(4), pages 894-920, October.
    4. Giancarlo Corsetti & André Meier & Gernot J. Müller, 2012. "Fiscal Stimulus with Spending Reversals," The Review of Economics and Statistics, MIT Press, vol. 94(4), pages 878-895, November.
    5. 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.
    6. Gauti B. Eggertsson & Benjamin Pugsley, 2006. "The Mistake of 1937: A General Equilibrium Analysis," Monetary and Economic Studies, Institute for Monetary and Economic Studies, Bank of Japan, vol. 24(S1), pages 151-190, December.
    7. Michael Woodford, 2011. "Simple Analytics of the Government Expenditure Multiplier," American Economic Journal: Macroeconomics, American Economic Association, vol. 3(1), pages 1-35, January.
    8. Eggertsson, Gauti B. & Pugsley, Benjamin, 2006. "The mistake of 1931: A general equilibrium analysis," CFS Working Paper Series 2007/06, Center for Financial Studies (CFS).
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    Cited by:

    1. Florin O. Bilbiie & Tommaso Monacelli & Roberto Perotti, 2014. "Is Government Spending at the Zero Lower Bound Desirable?," NBER Working Papers 20687, National Bureau of Economic Research, Inc.
    2. repec:eee:moneco:v:90:y:2017:i:c:p:176-192 is not listed on IDEAS
    3. 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.
    4. de Walque, Gregory & Lundvall, Henrik & Papageorgiou, Dimitris & Rysanek, Jakub & Kulikov, Dmitry & Júlio, Paulo & Lozej, Matija & Sideris, Dimitris & Maria, José R. & Micallef, Brian & Schmidt, Sebas, 2015. "Comparing fiscal multipliers across models and countries in Europe," Working Paper Series 1760, European Central Bank.

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    Keywords

    Business; cycles;

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