A Bayesian approach to estimating tax and spending multipliers
AbstractThis paper outlines a simple Bayesian methodology for estimating tax and spending multipliers in a dynamic stochastic general equilibrium (DSGE) model. After forming priors about the parameters of the model and the relevant shock, we used the model to exactly match only one data point: the trough of the Great Depression, that is, an output collapse of 30 percent, deflation of 10 percent, and a zero short-term nominal interest rate. Because we form our priors as distributions, the key economic inference of our analysis--the multipliers of tax and spending--are well-defined probability distributions derived from the posterior of the model. While the Bayesian methods used are standard, the application is slightly unusual. We conjecture that this methodology can be applied in several different settings with severe data limitations and where more informal calibrations have been the norm. The main advantage over usual calibration exercises is that the posterior of the model offers an interesting way to think about sensitivity analysis and gives researchers a useful way to describe model-based inference. We apply our simple estimation method to the American Recovery and Reinvestment Act (ARRA), passed by Congress as part of the 2009 stimulus plan. The mean of our estimate indicates that ARRA increased output by 3.6 percent in 2009 and 2010. The standard deviation of this estimate is 1 percent.
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Bibliographic InfoPaper provided by Federal Reserve Bank of New York in its series Staff Reports with number 403.
Date of creation: 2009
Date of revision:
This paper has been announced in the following NEP Reports:
- NEP-ALL-2009-11-21 (All new papers)
- NEP-CBA-2009-11-21 (Central Banking)
- NEP-DGE-2009-11-21 (Dynamic General Equilibrium)
- NEP-ECM-2009-11-21 (Econometrics)
- NEP-PUB-2009-11-21 (Public Finance)
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- Gauti B. Eggertsson, 2007.
"Was the New Deal Contractionary?,"
2007 Meeting Papers
660, Society for Economic Dynamics.
- An, Sungbae & Schorfheide, Frank, 2005.
"Bayesian Analysis of DSGE Models,"
CEPR Discussion Papers
5207, C.E.P.R. Discussion Papers.
- Gauti B. Eggertsson, 2009.
"What fiscal policy is effective at zero interest rates?,"
402, Federal Reserve Bank of New York.
- 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.
- Gauti B. Eggertsson, 2011.
"Fiscal Multipliers and Policy Coordination,"
Working Papers Central Bank of Chile
628, Central Bank of Chile.
- Cogan, John F. & Cwik, Tobias J. & Taylor, John B. & Wieland, Volker, 2009.
"New Keynesian versus old Keynesian government spending multipliers,"
CFS Working Paper Series
2009/17, Center for Financial Studies (CFS).
- 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.
- John Cogan & Tobias Cwik & John Taylor & Volker Wieland, 2009. "New Keynesian Versus Old Keynesian Government Spending Multipliers," Discussion Papers 08-030, Stanford Institute for Economic Policy Research.
- John F. Cogan & Tobias Cwik & John B. Taylor & Volker Wieland, 2009. "New Keynesian versus Old Keynesian Government Spending Multipliers," NBER Working Papers 14782, National Bureau of Economic Research, Inc.
- Cogan, John F. & Cwik, Tobias & Taylor, John B. & Wieland, Volker, 2009. "New Keynesian versus old Keynesian government spending multipliers," Working Paper Series 1090, European Central Bank.
- Cogan, John F. & Cwik, Tobias & Taylor, John B. & Wieland, Volker, 2009. "New Keynesian versus old Keynesian government spending multipliers," CEPR Discussion Papers 7236, C.E.P.R. Discussion Papers.
- 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.
- Kaszab, Lorant, 2011. "Fiscal Policy Multipliers in a New Keynesian Model under Positive and Zero Nominal Interest Rate," Cardiff Economics Working Papers E2011/11, Cardiff University, Cardiff Business School, Economics Section.
- Shu-Chun S. Yang & Todd B. Walker & Eric M. Leeper, 2010.
"Government Investment and Fiscal Stimulus,"
IMF Working Papers
10/229, International Monetary Fund.
- Eric M. Leeper & Todd B. Walker & Shu-Chun Susan Yang, 2009. "Government Investment and Fiscal Stimulus in the Short and Long Runs," NBER Working Papers 15153, National Bureau of Economic Research, Inc.
- Michael Woodford, 2010.
"Optimal Monetary Stabilization Policy,"
0910-18, Columbia University, Department of Economics.
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