Indeterminacy in a Matching Model of Money with Productive Government Expenditure

Chu, Angus C. and Liao, Chih-Hsing and Liu, Xiangbo and Zhang, Mengbo (2015): Indeterminacy in a Matching Model of Money with Productive Government Expenditure.

Abstract

This study explores the effects of inflation on economic growth in a two-sector monetary search-and-matching model with productive government expenditure. Our results can be summarized as follows. When labor intensity of production in the centralized market is below a threshold value, the economy features a unique balanced growth path (BGP). On this BGP, inflation reduces economic growth so long as capital intensity of production in the decentralized market is positive. When labor intensity in the centralized market is above the threshold however, the economy may feature multiple balanced growth paths. Multiple equilibria (i.e., global indeterminacy) arise when the matching probability in the decentralized market is sufficiently large. In this case, the high-growth equilibrium features a negative effect of inflation on economic growth whereas the low-growth equilibrium may feature a negative effect, a positive effect or a U-shaped effect of inflation on growth. Furthermore, under a sufficiently large matching probability in the decentralized market, both equilibria are locally determinate, and hence, either equilibrium may emerge in the economy.

• Item Type: MPRA Paper
• Language: English
• Keywords: Economic growth; inflation; money; random matching; indeterminacy
• Subjects: E - Macroeconomics and Monetary Economics > E3 - Prices, Business Fluctuations, and Cycles; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity > O42 - Monetary Growth Models

References

Aruoba, S., Waller, C., and Wright, R., 2011. Money and capital. Journal of Monetary Economics, 58, 98-116.

Barro, R., 1990. Government spending in a simple model of endogenous growth. Journal of Political Economy, 98, 103-125.

Bencivenga, V., and Camera, G., 2011. Banking in a matching model of money and capital. Journal of Money, Credit and Banking, 43, 449-476.

Benhabib, J. and Farmer, R., 1994. Indeterminacy and increasing returns. Journal of Economic Theory, 73, 19-41.

Benhabib, J. and Farmer, R., 1996. Indeterminacy and sector-specific externalities. Journal of Monetary Economics, 37, 421-444.

Benhabib, J. and Farmer, R., 1999. Indeterminacy and sunspots in macroeconomics. In J. Taylor and M. Woodford, eds., Handbook of Macroeconomics, Amsterdam: North Holland, 387-448.

Chang, J., Chang, W., Lai, C., and Wang, P., 2007. Equilibrium dynamics in an endogenous growth model of money and banking. Journal of Money, Credit and Banking, 39, 1683-1710.

Chen, B., Hsu, M., and Lu, C., 2008. Inflation and growth: Impatience and a qualitative equivalence. Journal of Money, Credit and Banking, 40, 1309-1323.

Chu, A., and Cozzi, G., 2014. R&D and economic growth in a cash-in-advance economy. International Economic Review, 55, 507-524.

Chu, A., Kan, K., Lai, C., and Liao, C., 2014. Money, random matching and endogenous growth: A quantitative analysis. Journal of Economic Dynamics and Control, 41, 173-187.

Dotsey, M., and Ireland, P., 1996. The welfare cost of inflation in general equilibrium. Journal of Monetary Economics, 37, 29-47.

Farmer, R., 1997. Money in a real business cycle model. Journal of Money, Credit and Banking, 29, 568-611.

Gomme, P., 1993. Money and growth revisited: Measuring the costs of inflation in an endogenous growth model. Journal of Monetary Economics, 32, 51-77.

Ho, W., Zeng, J., and Zhang, J., 2007. Inflation taxation and welfare with externalities and leisure. Journal of Money, Credit, and Banking, 39, 105-31.

Itaya, J., and Mino, K., 2003. Inflation, transaction costs and indeterminacy in monetary economies with endogenous growth. Economica, 70, 451-470.

Lagos, R., and Wright, R., 2005. A unified framework for monetary theory and policy analysis. Journal of Political Economy, 113, 463-484.

Lai, C., and Chin, C., 2010. (In)determinacy, increasing returns, and the optimality of the Friedman rule in an endogenously growing open economy. Economic Theory, 44, 69-100.

Menner, M., 2006. A search-theoretic monetary business cycle with capital formation. Contributions to Macroeconomics, 6, Article 11.

Schmitt-Grohé, S. and Uribe, M., 1997. Balanced-budget rules, distortionary taxes and aggregate instability. Journal of Political Economy, 105, 976-1000.

Shi, S., 1999. Search, inflation and capital accumulation. Journal of Monetary Economics, 44, 81-104.

Waller, C., 2011. Random matching and money in the neoclassical growth model: Some analytical results. Macroeconomic Dynamics, 15, 293-312.

Wang, P., and Yip, C., 1992. Alternative approaches to money and growth. Journal of Money, Credit and Banking, 24, 553-62.

Williamson, S., and Wright, R., 2010. New monetarist economics: Models. In: B. Friedman and M. Woodford (ed.). Handbook of Monetary Economics, 3, 25-96. Elsevier.