Hostname: page-component-586b7cd67f-g8jcs Total loading time: 0 Render date: 2024-11-26T01:10:08.376Z Has data issue: false hasContentIssue false

THE RISK OF HITTING THE ZERO LOWER BOUND AND THE OPTIMAL INFLATION TARGET

Published online by Cambridge University Press:  02 May 2017

Phuong V. Ngo*
Affiliation:
Cleveland State University
*
Address correspondence to: Phuong V. Ngo, Department of Economics, Cleveland State University, 2121 Euclid, RT 1705, Cleveland, OH 44115, USA; e-mail: [email protected].

Abstract

I examine the optimal inflation target in a dynamic stochastic New Keynesian model featuring an occasionally binding zero lower bound on nominal interest rate (ZLB). To this end, I first calibrate the shock needed to generate the risk of hitting the ZLB that matches the U.S. data, based on a fully nonlinear method. I then resolve the model with different inflation targets and find that the optimal target is 3.4%. In addition, the optimal inflation target is a nonlinear function of the risk of hitting the ZLB and inflation indexation. It is always greater than 2% if the risk is greater than 2.5% or if the inflation indexation is higher than 0.5. Finally, the linear–quadratic approach overestimates the true optimal inflation target. In particular, based on the benchmark calibration, it generates an optimal target of 5.5%, compared with 3.4% found by the fully nonlinear method.

Type
Articles
Copyright
Copyright © Cambridge University Press 2017 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

I am grateful to Jianjun Miao for his advice and encouragement and to Tai Nakata and Nathaniel Throckmorton for very helpful conversations. I have also benefited from excellent comments and suggestions by two anonymous reviewers. In addition, I thank the participants at the Spring 2015 Midwest Marco Meeting for valuable comments.

References

REFERENCES

Adam, K. and Billi, M. (2007) Discretionary monetary policy and the zero lower bound on nominal interest rates. Journal of Monetary Economics 54, 728752.Google Scholar
Amano, R. and Shukayev, M. (2012) Risk premium shocks and the zero bound on nominal interest rates. Journal of Money, Credit and Banking 44 (8).Google Scholar
Antinolfi, G., Azariadis, C., and Bullard, J. (2016) The optimal inflation target in an economy with limited enforcement. Macroeconomic Dynamics 20 (2), 582600.CrossRefGoogle Scholar
Aruoba, B. and Schorfheide, F. (2013) Macroeconomic Dynamics near the Zlb: A Tale of Two Equilibria. NBER Working Paper.Google Scholar
Ascari, G., Castelnuovo, E., and Rossi, L. (2011) Calvo vs. Rotemberg in a trend inflation world: An empirical investigation. Journal of Economic Dynamics and Control 35, 18521867.Google Scholar
Ascari, G. and Rossi, L. (2012) Trend inflation and firms price-setting: Rotemberg versus Calvo. Economic Journal 122, 11151141.Google Scholar
Ball, L. (2013) The Case for Four Percent Inflation. Working paper.Google Scholar
Billi, R. (2011) Optimal inflation for the US economy. American Economic Journal: Macroeconomics 3, 2952.Google Scholar
Blanchard, O., Dell'Ariccia, G., and Mauro, P. (2010) Rethinking Macroeconomic Policy. IMF staff position note.CrossRefGoogle Scholar
Braun, R. A., Korber, M. L., and Waki, Y. (2013) Small and Orthodox Fiscal Multipliers at the Zero Lower Bound. Federal Reserve Bank of Atlanta working paper.Google Scholar
Calvo, A. (1983) Staggered prices in a utility maximizing framework. Journal of Monetary Economics 12, 383398.Google Scholar
Christiano, L., Eichenbaum, M., and Evans, C. (2005) Nominal rigidities and the dynamic effects of a shock to monetary policy. Journal of Political Economy 113, 145.CrossRefGoogle Scholar
Christiano, L., Eichenbaum, M., and Rebelo, S. (2011) When is the government spending multiplier large? Journal of Political Economy 119, 78121.Google Scholar
Cogley, T. and Sbordone, A. (2008) Trend inflation, indexation, and inflation persistence in the new Keynesian Phillips curve. American Economic Review 98 (5), 21012126.Google Scholar
Coibion, O., Gorodnichenko, Y., and Wieland, J. (2012) The optimal inflation rate in new Keynesian models: Should central banks raise their inflation targets in light of the zero lower bound? Review of Economics Studies 79, 13711406.Google Scholar
Dotsey, M., King, R. G., and Wolman, A. L. (1999) State-dependent pricing and the general equilibrium dynamics of money and output. Quarterly Journal of Economics 114, 655690.Google Scholar
Eggertsson, G. and Krugman, P. (2012) Debt, deleveraging and the liquidity trap: A Fisher–Minsky–Koo approach. Quarterly Journal of Economics 127 (3), 14691513.Google Scholar
Fernandez-Villaverde, J., Gordon, G., Guerron-Quintana, P., and Rubio-Ramirez, F.J. (2012) Nonlinear Adventures at the Zero Lower Bound. NBER working paper.Google Scholar
Gali, J. (2008) Monetary Policy, Inflation, and the Business Cycle: An Introduction to the New Keynesian Framework. Princeton, NJ: Princeton University Press.Google Scholar
Gertler, M. and Leahy, J. (2008) A Phillips curve with an SS foundation. Journal of Political Economy 116 (3), 533572.Google Scholar
Guerrieri, V. and Lorenzoni, G. (2011) Credit Crises, Precautionary Savings and the Liquidity Trap. Working paper.Google Scholar
Krugman, P. (1998) It's baaack: Japan's slump and the return of the liquidity trap. Brookings Papers on Economic Activity 2, 137205.CrossRefGoogle Scholar
Miao, J. and Ngo, P. (2014) Does Calvo meet Rotemberg at the Zero Lower Bound? Working paper.Google Scholar
Miranda, M.J. and Fackler, L.P. (2002) Applied Computational Economics and Finance. Cambridge, MA: MIT Press.Google Scholar
Mishkin, F. S. (2011) Monetary Policy Strategy: Lessons from the Crisis. NBER working paper.Google Scholar
Nakamura, G. and Steinsson, J. (2008) Five facts about prices: A reevaluation of menu cost models. Quarterly Journal of Economics 123 (4), 14151464.Google Scholar
Nakata, T. (2011) Optimal Fiscal and Monetary Policy with Occasionally Binding Zero Lower Bound. New York University working paper.Google Scholar
Nakov, A. (2008) Optimal and simple monetary policy rules with zero floor on the nominal interest rate. International Journal of Central Banking 4 (2), 73127.Google Scholar
Ngo, P. (2014) Optimal discretionary monetary policy in a micro-founded model with a zero lower bound on nominal interest rate. Journal of Economic Dynamics and Control 45, 4465.Google Scholar
Ngo, P. (2015) Household leverage, housing market, and macroeconomic fluctuations. Journal of Macroeconomics 44, 191207.CrossRefGoogle Scholar
Richter, W.A. and Throckmorton, N.A. (2015) The zero lower bound: Frequency, duration, and numerical convergence. B.E. Journal of Macroeconomics 15 (1), 157182.CrossRefGoogle Scholar
Rotemberg, J. (1982) Sticky prices in the United States. Journal of Political Economy 90, 1187–211.CrossRefGoogle Scholar
Schmitt-Grohe, S. and Uribe, M. (2010) The Optimal Rate of Onflation. NBER working paper 16054.Google Scholar
Woodford, M. (2003) Interest and Prices: Foundations of a Theory of Monetary Policy. Princeton, NJ: Princeton University Press.Google Scholar
Woodford, M. (2011) Simple analytics of the government expenditure multipliers. American Economic Journal: Macroeconomics 3, 135.Google Scholar