Indeterminacy in a dynamic small open economy with international migration

Parello, Carmelo Pierpaolo (2012): Indeterminacy in a dynamic small open economy with international migration.

Abstract

This paper presents a dynamic small open economy version of the standard neoclassical exogenous growth model with international migration. It considers both the case of perfect world capital markets and the case of imperfect capital markets and shows that local indeterminacy always arises independently of the capital market regime. To study the dynamic implications of migration on domestic consumption, current account and capital accumulation, we simulate the model numerically by distinguishing three different scenarios depending on whether the initial immigration ratio is larger, equal or smaller than its steady-state value. In the case of perfect world capital markets, we find that migration has only a temporary impact on capital accumulation, but a permanent impact on domestic consumption and foreign debt. Instead, in the case of imperfect world capital markets, we find that migration has only temporary impacts on all the main macroeconomic variables.

• Item Type: MPRA Paper
• Language: English
• Keywords: Small Open Economy, Indeterminacy, International Migration, Capital Adjustment Costs, First best
• Subjects: F - International Economics > F2 - International Factor Movements and International Business > F22 - International Migration; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O41 - One, Two, and Multisector Growth Models; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61 - Optimization Techniques ; Programming Models ; Dynamic Analysis; F - International Economics > F4 - Macroeconomic Aspects of International Trade and Finance > F43 - Economic Growth of Open Economies; C - Mathematical and Quantitative Methods > C6 - Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C62 - Existence and Stability Conditions of Equilibrium

References

Barro, R. J. and X. Sala-i-Martin (2004). "Economic Growth, 2nd Edition," Cambridge, MA, The MIT Press.

Borjas, G. J. (1999). "Immigration and Welfare Magnets," Journal of Labor Economics, University of Chicago Press, vol. 17(4), pages 607-37, October.

Brainard,W. C., and J. Tobin (1968). "Pitfalls in Financial Model Building," American Economic Review 58, pages 99--122, May.

Braun, J. (1993). Essays on Economic Growth and Migration. Ph.D. dissertation, Harvard University.

Buiter, W. H. (1982). "Predetermined and non-predetermined variables in rational expectations models," Economics Letters, Elsevier, vol. 10(1-2), pages 49-54.

Chassamboulli, A. and T. Palivos (2010). "Give me your Tired, your Poor, so I can Prosper: Immigration in Search Equilibrium," University of Cyprus Working Papers in Economics 12-2010, University of Cyprus Department of Economics.

Cooley, T. F. (1995), Frontiers of Business Cycle Research, Princeton University Press, Princeton, NJ.

Eicher, T. S. and S. J. Turnovsky, (1999). "Non-Scale Models of Economic Growth," Economic Journal 109, pages 394--415.

Galor, O. (1986). "Time preference and international labor migration," Journal of Economic Theory, Elsevier, vol. 38(1), pages 1-20, February.

Gollin, D. (2002). "Getting Income Shares Right," Journal of Political Economy, University of Chicago Press, vol. 110(2), pages 458-474, April.

Hayashi, F. (1982). "Tobin's Marginal q and Average q: A Neoclassical Interpretation," Econometrica, Econometric Society, vol. 50(1), pages 213-24, January.

Hazari, B. R. and P.M. Sgro (2003). "The simple analytics of optimal growth with illegal migrants," Journal of Economic Dynamics and Control, Elsevier, vol. 28(1), pages 141-151, October.

Inada, Ken-Ichi (1963) "On a Two-Sector Model of Economic Growth: Comments and a Generalization," The Review of Economic Studies, 30(2): 119-127.

Kemnitz, A. and B.U. Wigger (2000). "Growth and Social Security: The Role of Human Capital," European Journal of Political Economy 16(4): 673-683.

Liu, X. (2010). "On the macroeconomic and welfare effects of illegal immigration," Journal of Economic Dynamics and Control, Elsevier, vol. 34(12), pages 2547-2567, December.

Meier, V. and Wenig A (1997). "Welfare Implications of International Labor Migration," Zeitschrift für Wirtschafts- und Sozialwissenschaften 117(4): 505-524.

Moy, H. M. and C. K. Yip (2006). "The simple analytics of optimal growth with illegal migrants: A clarification," Journal of Economic Dynamics and Control, Elsevier, vol. 30(12), pages 2469-2475, December.

Ortigueira, S. and Santos, M.S. (1997). "On the Speed of Convergence in Endogenous Growth Models," American Economic Review, American Economic Association, vol. 87(3), pages 383-99, June.

Palivos, T. (2009). "Welfare effects of illegal immigration," Journal of Population Economics, Springer, vol. 22(1), pages 131-144, January.

Palivos, T. and C. K. Yip (2007). "Illegal Immigration in a Heterogeneous Society," Departmental Working Papers No.188, Chinese University of Hong Kong, Department of Economics.

Palivos, T., J. Xue and C. K. Yip (2011). ""Illegal Immigration, Factor Substitution and Economic Growth," Discussion Paper Series 2011/10, Department of Economics, University of Macedonia.

Rodriguez, C. A. (1975). "On the Welfare Aspects of International Migration," Journal of Political Economy, University of Chicago Press, vol. 83(5), pages 1065-72, October.

Turnovsky, S. J. (2005). "Capital Accumulation and Economic Growth in a Small Open Economy," Cambridge Books, Cambridge University Press, Cambridge, UK.

World Bank (2011). "Migration and Remittances Factbook". The World Bank, Washington DC.

Weder, M. (2001). "Indeterminacy in a Small Open Economy Ramsey Growth Model," Journal of Economic Theory, Elsevier, vol. 98(2), pages 339-356, June.