Household Heterogeneity and the Value of Government Spending Multiplier: an Analytical Characterization

Kopiec, Pawel (2019): Household Heterogeneity and the Value of Government Spending Multiplier: an Analytical Characterization.

Abstract

This paper provides an analytical formula for the government spending multiplier in economy populated with heterogeneous households that face uninsured idiosyncratic risk. To derive this expression I use the canonical Bewley-Huggett-Aiyagari model extended to capture frictional product market. In my analysis I relax several assumptions that were made in the literature to obtain closed-form solutions in heterogeneous agent models such as: partial equilibrium (e.g., Auclert (2017)), extreme illiquidity (e.g., Krusell et al. (2011)) and constant real interest rates (e.g., Auclert et al. (2018)). The resulting formula for the multiplier is decomposed into interpretable, model-based channels. Calibrated model is used to estimate their magnitude under alternative fiscal and monetary policy rules. Quantitative exploration indicates that household heterogeneity plays a crucial role in the propagation of government expenditures shocks.

• Item Type: MPRA Paper
• Language: English
• Keywords: Heterogeneous Agents, Fiscal Stimulus
• Subjects: D - Microeconomics > D3 - Distribution > D30 - General; E - Macroeconomics and Monetary Economics > E6 - Macroeconomic Policy, Macroeconomic Aspects of Public Finance, and General Outlook > E62 - Fiscal Policy; H - Public Economics > H2 - Taxation, Subsidies, and Revenue > H23 - Externalities ; Redistributive Effects ; Environmental Taxes and Subsidies; H - Public Economics > H3 - Fiscal Policies and Behavior of Economic Agents > H30 - General; H - Public Economics > H3 - Fiscal Policies and Behavior of Economic Agents > H31 - Household

References

Aiyagari, S. R., Christiano, L. J., and Eichenbaum, M. (1992). The output, employment, and interest rate effects of government consumption. Journal of Monetary Economics, 30(1):73–86.

Auclert, A. (2017). Monetary Policy and the Redistribution Channel. NBERWorking Papers 23451, National Bureau of Economic Research, Inc.

Auclert, A., Straub, L., and Rognlie, M. (2018). The Intertemporal Keynesian Cross. 2018 Meeting Papers 999, Society for Economic Dynamics.

Brinca, P., Ferreira, M., Franco, F., Holter, H., and Malafry, L. (2017). Fiscal Consolidation Programs and Income Inequality. Research Papers in Economics 2017:8, Stockholm University, Department of Economics.

Carroll, C. D., Slacalek, J., and Tokuoka, K. (2014). The Distribution ofWealth and the MPC: Implications of New European Data. American Economic Review, 104(5):107–111.

Challe, E. and Ragot, X. (2011). Fiscal Policy in a Tractable Liquidity Constrained Economy. Economic Journal, 121(551):273–317.

Christiano, L., Eichenbaum, M., and Rebelo, S. (2011). When Is the Government Spending Multiplier Large? Journal of Political Economy, 119(1):78–121.

Den Haan, W., Rendahl, P., and Riegler, M. (2015). Unemployment (Fears) and Deflationary Spirals. CEPR Discussion Papers 10814, C.E.P.R. Discussion Papers.

Diamond, P. A. (1982). Aggregate Demand Management in Search Equilibrium. Journal of Political Economy, 90(5):881–894.

Eggertsson, G. B. (2011). What Fiscal Policy is Effective at Zero Interest Rates? In NBER Macroeconomics Annual 2010, Volume 25, NBER Chapters, pages 59– 112. National Bureau of Economic Research, Inc.

Galí, J. (2008). Introduction to Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework. In Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework, Introductory Chapters. Princeton University Press.

Hagedorn, M., Manovskii, I., and Mitman, K. (2017). The Fiscal Multiplier. 2017 meeting papers, Society for Economic Dynamics.

Jappelli, T. and Pistaferri, L. (2014). Fiscal Policy and MPC Heterogeneity. American Economic Journal: Macroeconomics, 6(4):107–136.

Kaplan, G. and Menzio, G. (2016). Shopping Externalities and Self-Fulfilling Unemployment Fluctuations. Journal of Political Economy, 124(3):771–825.

Kaplan, G., Moll, B., and Violante, G. L. (2016). Monetary Policy According to HANK. NBER Working Papers 21897, National Bureau of Economic Research, Inc.

Kaplan, G. and Violante, G. (2014). A Model of the Consumption Response to Fiscal Stimulus Payments. Econometrica, 82(4):1199–1239.

Kopiec, P. (2018). Employment Prospects and the Propagation of Fiscal Stimulus. MPRA Paper 85029, University Library of Munich, Germany.

Krueger, D., Mitman, K., and Perri, F. (2016). Macroeconomics and Household Heterogeneity, volume 2 of Handbook of Macroeconomics, chapter 0, pages 843–921. Elsevier.

Krusell, P., Mukoyama, T., and Smith Jr., A. A. (2011). Asset prices in a Huggett economy. Journal of Economic Theory, 146(3):812–844.

McKay, A. and Reis, R. (2016a). Optimal Automatic Stabilizers. NBER Working Papers 22359, National Bureau of Economic Research, Inc.

McKay, A. and Reis, R. (2016b). The Role of Automatic Stabilizers in the U.S. Business Cycle. Econometrica, 84:141–194.

Michaillat, P. and Saez, E. (2015). Aggregate Demand, Idle Time, and Unemployment. The Quarterly Journal of Economics, 130(2):507–569.

Michaillat, P. and Saez, E. (2018). Optimal Public Expenditure with Inefficient Unemployment. Review of Economic Studies, (0):1–31.

Navarro, G. and Ferriere, A. (2016). The Heterogeneous Effects of Government Spending: It’s All About Taxes. 2016 Meeting Papers 1286, Society for Economic Dynamics.

Oh, H. and Reis, R. (2012). Targeted transfers and the fiscal response to the great recession. Journal of Monetary Economics, 59(S):50–64.

Patterson, C. (2018). The Matching Multiplier and the Amplification of Recessions. mimeo, MIT.

Petrosky-Nadeau, N. and Wasmer, E. (2015). Macroeconomic dynamics in a model of goods, labor, and credit market frictions. Journal of Monetary Economics, 72(C):97–113.

Ravn, M. O. and Sterk, V. (2016). Macroeconomic Fluctuations with HANK & SAM: An Analytical Approach. Discussion Papers 1633, Centre for Macroeconomics (CFM).

Storesletten, K., Rull, J.-V. R., and Bai, Y. (2017). Demand Shocks that Look Like Productivity Shocks. 2017.

Werning, I. (2015). Incomplete Markets and Aggregate Demand. NBER Working Papers 21448, National Bureau of Economic Research, Inc.

Woodford, M. (2011). Simple Analytics of the Government Expenditure Multiplier. American Economic Journal: Macroeconomics, 3(1):1–35.