Capital Control, Exchange Rate Regime, and Monetary Policy: Indeterminacy and Bifurcation

William, Barnett and Hu, Jingxian (2017): Capital Control, Exchange Rate Regime, and Monetary Policy: Indeterminacy and Bifurcation.

Abstract

Will capital controls enhance macro economy stability? How will the results be influenced by the exchange rate regime and monetary policy reaction? Are the consequences of policy decisions involving capital controls easily predictable, or more complicated than may have been anticipated? We will answer the above questions by investigating the macroeconomic dynamics of a small open economy. In recent years, these matters have become particularly important to emerging market economies, which have often adopted capital controls. We especially investigate two dynamical characteristics: indeterminacy and bifurcation. Four cases are explored, based on different exchange rate regimes and monetary policy rules.

With capital controls in place, we find that indeterminacy depends upon how inflation and output gap coordinate with each other in their feedback to interest rate setting in the Taylor rule. When forward-looking, both passive and positive monetary policy feedback can lead to indeterminacy. Compared with flexible exchange rates, fixed exchange rate regimes produce more complex indeterminacy conditions, depending upon the stickiness of prices and the elasticity of substitution between labor and consumption. We find Hopf bifurcation under capital control with fixed exchange rates and current-looking monetary policy. To determine empirical relevance, we test indeterminacy empirically using Bayesian estimation. Fixed exchange rate regimes with capital controls produce larger posterior probability of the indeterminate region than a flexible exchange rate regime. Fixed exchange rate regimes with current-looking monetary policy lead to several kinds of bifurcation under capital controls.

We provide monetary policy suggestions on achieving macroeconomic stability through financial regulation.

• Item Type: MPRA Paper
• Language: English
• Keywords: Capital controls, open economy monetary policy, exchange rate regimes, Bayesian methods, bifurcation, indeterminacy.
• Subjects: C - Mathematical and Quantitative Methods > C1 - Econometric and Statistical Methods and Methodology: General > C11 - Bayesian Analysis: General; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium; E - Macroeconomics and Monetary Economics > E5 - Monetary Policy, Central Banking, and the Supply of Money and Credit > E52 - Monetary Policy; F - International Economics > F3 - International Finance; F - International Economics > F3 - International Finance > F31 - Foreign Exchange; F - International Economics > F3 - International Finance > F38 - International Financial Policy: Financial Transactions Tax; Capital Controls; F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance > F41 - Open Economy Macroeconomics

References

Airaudo, Marco and Luis-Felipe Zanna (2012), “Interest Rate Rules, Endogenous Cycles, and Chaotic Dynamics in Open Economies,” Journal of Economic Dynamic & Control, Vol. 36, pp. 1566-1584.

Barnett, William A. and Guo Chen (2015), “Bifurcation of Macroeconometric Models and Robustness of Dynamical Inferences,” Foundations and Trends in Econometrics, Vol. 8(1-2), pp. 1-144.

Barnett, William A. and Evgeniya A. Duzhak (2008), “Non-robust Dynamic Inferences from Macroeconometric Models: Bifurcation Stratification of Confidence Regions,” Physica A, Vol. 387, pp. 3817-3825.

Barnett, William A. and Evgeniya A. Duzhak (2010), “Empirical Assessment of Bifurcation Regions within New Keynesian Models,” Economic Theory, Vol. 45, pp. 99-128.

Barnett, William A. and Evgeniya A. Duzhak (2014), “Structural Stability of the Generalized Taylor Rule,” Macroeconomic Dynamics, forthcoming.

Barnett, William A. and Unal Eryilmaz (2013), “Hopf Bifurcation in the Clarida, Gali, and Gertler Model,” Economic Modelling, Vol. 31, pp. 401-404.

Barnett, William A. and Unal Eryilmaz (2014), “An Analytical and Numerical Search for Bifurcations in Open Economy New Keynesian Models.” Macroeconomic Dynamics, October, pp. 1-22.

Benhabib, Jess and Roger E. A. Farmer (1999), “Indeterminacy and Sunspots in Macroeconomics.” In John Taylor and Michael Woodford (eds.), Handbook of Macroeconomics, Vol.1 Part A, Chapter 6, pp. 387-448.

Benhabib, Jess, Stephanie Schmitt-Grohé and Martín Uribe (2001), “Monetary Policy and Multiple Equilibria,” American Economic Review, Vol. 91, No. 1, pp. 167-186.

Beyer, Andreas and Roger E. A. Farmer (2004), “On the Indeterminacy of New-Keynesian Economics,” European Central Bank Working Paper No. 323.

Beyer, Andreas and Roger E. A. Farmer (2006), “A Method to Generate Structural Impulse-Responses for Measuring the Effects of Shocks in Structural Macro Models,” European Central Bank Working Paper No. 586.

Bullard, James and Eric Schaling (2006), “Monetary Policy, Determinacy, and Learnability in the Open Economy,” European Central Bank Working Paper No. 611.

Cochrane, John H. (2011), “Determinacy and Identification with Taylor Rules,” Journal of Political Economy, Vol. 119, No. 3, pp. 565-615.

Calvo, Guillermo A. (1983), “Staggered Prices in a Utility-Maximizing Framework,” Journal of Monetary Economics, Vol. 12, pp. 383-396.

Fanelli, Luca (2012), “Determinacy, Indeterminacy and Dynamic Misspecification in Linear Rational Expectations Models,” Journal of Econometrics, Vol. 170, pp. 153-163.

Farhi, Emmanuel and Iván Werning (2014), “Dilemma not Trilemma? Capital Controls and Exchange Rate with Volatile Capital Flows,” IMF Economics Review, Vol. 62, pp. 569-605.

Farhi, Emmanuel and Iván Werning (2012), “Dealing with the Trilemma: Optimal Capital Controls with Fixed Exchange Rates,” NBER Working Paper No. 18199.

Farmer, Roger E. A., Vadim Khramov and Giovanni Nicolò (2015), “Solving and Estimation Indeterminate DSGE Models,” Journal of Economic Dynamic and Control, Vol. 54, pp. 17-36.

Fleming, J. Marcus (1962), “Domestic Financial Policies under Fixed and Floating Exchange Rates,” IMF Staff Papers, Vol 9, pp. 369-379. Reprinted in Cooper, Richard N. (ed) (1969), International Finance, New York, Penguin Books.

Franke, Reiner (1992), “Stable, Unstable, and Persistent Cyclical Behavior in a Keynes-Wicksell Monetary Growth Model,” Oxford Economic Papers, New Series, Vol.44, No.2, pp. 242-256.

Galí, Jordi and Tommaso Monacelli (2005), “Monetary Policy and Exchange Rate Volatility in a Small Open Economy,” Review of Economic Studies, Vol. 72, pp. 707-734.

Gandolfo, Giancarlo (2010), Economic Dynamics, 4th Edition, Springer.

Korinek, Anton (2011), “The New Economics of Capital Controls Imposed for Prudential Reasons,” IMF Working Paper, WP/11/298.

Korinek, Anton (2014), “Regulating Capital Flows to Emerging Markets: An Externality View,” Johns Hopkins University and NBER, working paper.

Kuznetsov, Yuri A. (2013), “A Tutorial for MatcontM GUI,” http://www.staff.science.uu.nl/~kouzn101/NBA/Tutorial_MatcontMGUI.pdf.

Lubik, Thomas A. and Frank Schorfheide (2003), “Computing Sunspot Equilibria in Linear Rational Expectations Models,” Journal of Economic Dynamics and Control, Volume 28, Issue 2, pp. 273–285.

Lubik, Thomas A. and Frank Schorfheide (2004), “Testing for Indeterminacy: An Application to U.S. Monetary Policy,” American Economic Review, Vol. 94, No. 1, pp. 190-217.

Lubik, Thomas A. and Frank Schorfheide (2005), “A Bayesian Look at the New Open Economy Macroeconomics,” NBER Macroeconomics Annual, Volume 20, pp. 313-366.

Lubik, Thomas A. and Massimiliano Marzo (2007), “An Inventory of Simple Monetary Policy Rules in a New Keynesian Macroeconomic Model,” International Review of Economics and Finance, Vol. 16, pp. 15-36.

Magud, Nicolas E., Carmen M. Reinhart, and Esteban R. Vesperoni (2012), “Capital Inflows, Exchange Rate Flexibility, and Credit Booms,” IMF Working Paper, WP/12/41.

Mundell, Robert A. (1963), “Capital Mobility and Stabilization Policy under Fixed and Flexible Exchange Rates,” Canadian Journal of Economic and Political Science, Vol 29, No. 4, pp. 475-485. Reprinted in Mundell, Robert A. (1968), International Economics, New York, Macmillan.

Ostry, Jonathan D., Atish R. Ghosh, Marcos Chamon, and Mahvash S. Qureshi (2012), “Tools for Managing Financial-Stability Risks from Capital Inflows,” Journal of International Economics, Vol. 88, pp. 407-421.

Sims, Christopher A. (2002), “Solving Linear Rational Expectations Models,” Computational Economics, Vol. 20, Issue 1, pp. 1-20.

Woodford, Michael (1989), “Imperfect Financial Intermediation and Complex Dynamics.” In W. A. Barnett, J. Geweke, and K. Shell (eds.), Economic Complexity: Chaos, Sunspots, Bubbles and Nonlinearity, Cambridge U. Press, Cambridge, UK, Chapter 13, pp. 309-334.

Woodford, Michael (1986), “Stationary Sunspot Equilibria in a Finance Constrained Economy,” Journal of Economic Theory, Vol. 40, pp. 128-137.