Innovation and Inequality in a Monetary Schumpeterian Model with Heterogeneous Households and Firms

Chu, Angus C. and Cozzi, Guido and Fan, Haichao and Furukawa, Yuichi and Liao, Chih-Hsing (2018): Innovation and Inequality in a Monetary Schumpeterian Model with Heterogeneous Households and Firms. Forthcoming in: Review of Economic Dynamics

Abstract

This study develops a monetary Schumpeterian growth model with heterogeneous households and heterogeneous firms to explore the effects of inflation on innovation and income inequality. Household heterogeneity arises from an unequal distribution of wealth. Firm heterogeneity arises from random quality improvements. Under endogenous firm entry, inflation has an inverted-U effect on economic growth and income inequality. Calibrating the model for a quantitative analysis, we find that the model can match the growth-maximizing and inequality-maximizing inflation rates that are estimated using cross-country panel data. Finally, we simulate the utility-maximizing inflation rate and explore how it is affected by relative household wealth.

• Item Type: MPRA Paper
• Language: English
• Keywords: inflation, income inequality, economic growth, heterogeneity
• Subjects: D - Microeconomics > D3 - Distribution; E - Macroeconomics and Monetary Economics > E4 - Money and Interest Rates > E41 - Demand for Money; O - Economic Development, Innovation, Technological Change, and Growth > O3 - Innovation ; Research and Development ; Technological Change ; Intellectual Property Rights; O - Economic Development, Innovation, Technological Change, and Growth > O4 - Economic Growth and Aggregate Productivity

References

Abel, A., 1985. Dynamic behavior of capital accumulation in a cash-in-advance model. Journal of Monetary Economics, 16, 55-71.

Aghion, P., Akcigit, U., Bergeaud, A., Blundell, R., and Hemous, D., 2019. Innovation and top income inequality. Review of Economic Studies, 86, 1-45.

Aghion, P., and Howitt, P., 1992. A model of growth through creative destruction, Econometrica, 60, 323-351.

Arawatari, R., Hori, T., and Mino, K., 2018. On the nonlinear relationship between inflation and growth: A theoretical exposition. Journal of Monetary Economics, 94, 79-93.

Baldwin, R., and Robert-Nicoud, F., 2008. Trade and growth with heterogeneous firms. Journal of International Economics, 74, 21-34.

Benigno, G., and Fornaro, L., 2018. Stagnation traps. Review of Economic Studies, 85, 1425-1470.

Berentsen, A., Breu, M., and Shi, S., 2012. Liquidity, innovation, and growth. Journal of Monetary Economics, 59, 721-737.

Bick, A., 2010. Threshold effects of inflation on economic growth in developing countries. Economics Letters, 108, 126-129.

Booth, G., and Ciner, C., 2001. The relationship between nominal interest rates and inflation: International evidence. Journal of Multinational Financial Management, 11, 269-280.

Chou, C.-F., and Talmain, G., 1996. Redistribution and growth: Pareto improvements. Journal of Economic Growth, 1, 505-523.

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., and Cozzi, G., 2018. Effects of patents versus R&D subsidies on income inequality. Review of Economic Dynamics, 29, 68-84.

Chu, A., Cozzi, G., Furukawa, Y., and Liao, C., 2017. Inflation and economic growth in a Schumpeterian model with endogenous entry of heterogeneous firms. European Economic Review, 98, 392-409.

Chu, A., Cozzi, G., Lai, C., and Liao, C., 2015. Inflation, R&D and growth in an open economy. Journal of International Economics, 96, 360-374.

Chu, A., and Lai, C., 2013. Money and the welfare cost of inflation in an R&D growth model. Journal of Money, Credit and Banking, 45, 233-249.

Cozzi, G., 2007. The Arrow effect under competitive R&D. B.E. Journal of Macroeconomics (Contributions), 7, Article 2.

Cozzi, G., Giordani, P., and Zamparelli, L., 2007. The refoundation of the symmetric equilibrium in Schumpeterian growth models. Journal of Economic Theory, 136, 788-797.

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

Fan, H., and Gao, X., 2017. Domestic creditor rights and external private debt. Economic Journal, 127, 2410-2440.

Foellmi, R., and Zweimuller, J., 2006. Income distribution and demand-induced innovations. Review of Economic Studies, 73, 941-960.

Funk, P., and Kromen, B., 2010. Inflation and innovation-driven growth. B.E. Journal of Macroeconomics, 10, 1-52.

Garcia-Penalosa, C., and Turnovsky, S., 2006. Growth and income inequality: A canonical model. Economic Theory, 28, 25-49.

Gillman, M., and Kejak, M., 2005. Contrasting models of the effects of inflation on growth. Journal of Economic Surveys, 19, 113-36.

Grossman, G., and Helpman, E., 1991. Quality ladders in the theory of growth. Review of Economic Studies, 58, 43-61.

Grossman, G., and Helpman, E., 2018. Growth, trade, and inequality. Econometrica, 86, 37-83.

Gustafsson, P., and Segerstrom, P., 2010. Trade liberalization and productivity growth. Review of International Economics, 18, 207-228.

Haruyama, T., and Zhao, L., 2008. Trade and firm heterogeneity in a quality-ladder model of growth. Kobe University Discussion Paper No. 223.

He, Q., 2018. Inflation and fertility in a Schumpeterian growth model: Theory and evidence. International Review of Economics & Finance, 58, 113-126.

He, Q., and Zou, H., 2016. Does inflation cause growth in the reform-era China? Theory and evidence. International Review of Economics & Finance, 45, 470-484.

Ho, W., Zeng, J., and Zhang, J., 2007. Inflation taxation and welfare with externalities and leisure. Journal of Money, Credit and Banking, 39, 105-131.

Hopenhayn, H., 1992. Entry, exit, and firm dynamics in long run equilibrium. Econometrica, 60, 1127-50.

Hori, T., 2019. Monetary policy, financial frictions, and heterogeneous R&D firms in an endogenous growth model. Manuscript.

Huang, C., Yang, Y., and Cheng, C., 2017. The growth and welfare analysis of patent and monetary policies in a Schumpeterian economy. International Review of Economics & Finance, 52, 409-426.

Iwaisako, T., and Ohki, K., 2019. Innovation by heterogeneous leaders. Scandinavian Journal of Economics, forthcoming.

Jones, C., 1999. Growth: With or without scale effects? American Economic Review, 89, 139-144.

Jones, C., and Kim, J., 2018. A Schumpeterian model of top income inequality. Journal of Political Economy, 126, 1785-1826.

Kaplan, G., Moll, B., and Violante, G., 2018. Monetary policy according to HANK. American Economic Review, 108, 697-743.

Karabarbounis, L., and Neiman, B., 2014. The global decline of the labor share. Quarterly Journal of Economics, 129, 61-103.

Khorunzhina, N., 2015. Real business-cycle model with habits: Empirical investigation. Economic Modelling, 46, 61-69.

Kiedaisch, C., 2017. Growth and welfare effects of intellectual property rights when consumers differ in income. University of Zurich, Department of Economics, Working Paper No. 221.

Kleibergen, F., and Paap, R., 2006. Generalized reduced rank tests using the singular value decomposition. Journal of Econometrics, 133, 97-126.

Klette, T. J., and Kortum, S., 2004. Innovating firms and aggregate innovation. Journal of Political Economy, 112, 986-1018.

Laincz, C., and Peretto, P., 2006. Scale effects in endogenous growth theory: An error of aggregation not specification. Journal of Economic Growth, 11, 263-288.

Li, C.-W., 1998. Inequality and growth: A Schumpeterian perspective. University of Glasgow Working Paper No. 9609.

Lin, J., Miao, J., and Wang, P., 2019. Convergence, financial development, and policy analysis. Economic Theory, forthcoming.

López-Villavicencio, A., and Mignon, V., 2011. On the impact of inflation on output growth: Does the level of inflation matter?. Journal of Macroeconomics, 33, 455-464.

Marquis, M., and Reffett, K., 1994. New technology spillovers into the payment system. Economic Journal, 104, 1123-1138.

Mckay, A., and Reis, R., 2016. The role of automatic stabilizers in the U.S. business cycle. Econometrica, 84, 141-194.

Melitz, M., 2003. The impact of trade on intra-industry reallocations and aggregate industry productivity. Econometrica, 71, 1695-1725.

Minniti, A., Parello, C., and Segerstrom, P., 2013. A Schumpeterian growth model with random quality improvements. Economic Theory, 52, 755-791.

Mishkin, F., 1992. Is the Fisher effect for real? A reexamination of the relationship between inflation and interest rates. Journal of Monetary Economics, 30, 195-215.

Natob, N., 2015. Income inequality and inflation in developing countries: An empirical investigation. Economics Bulletin, 35, 2888-2902.

Neto, A., Furukawa, Y., and Ribeiro, A., 2017. Can trade unions increase social welfare? An R&D model with cash-in-advance constraints. MPRA Paper No. 77312.

Oikawa, K., and Ueda, K., 2018. The optimal inflation rate under Schumpeterian growth. Journal of Monetary Economics, 100, 114-125.

Peretto, P., 1998. Technological change and population growth. Journal of Economic Growth, 3, 283-311.

Peretto, P., 2007. Corporate taxes, growth and welfare in a Schumpeterian economy. Journal of Economic Theory, 137, 353-382.

Piketty, T., 2014. Capital in the Twenty-First Century. Harvard University Press.

Rocheteau, G., Weill, P., Wong, T., 2018. A tractable model of monetary exchange with ex-post heterogeneity. Theoretical Economics, 13, 1369-1423.

Romer, P., 1990. Endogenous technological change. Journal of Political Economy, 98, S71-S102. Segerstrom, P., 1998. Endogenous growth without scale effects. American Economic Review, 88, 1290-1310.

Segerstrom, P., Anant, T.C.A. and Dinopoulos, E., 1990. A Schumpeterian model of the product life cycle. American Economic Review, 80, 1077-91.

Solow, R., 1956. A contribution to the theory of economic growth. Quarterly Journal of Economics, 70, 65-94.

Stock, J., and Yogo, M., 2005. Testing for weak instruments in linear IV regression. In: Identification and Inference for Econometric Models: Essays in Honor of Thomas Rothenberg, edited by D. Andrews, and J. Stock, 80-108. Cambridge University Press.

Stockman, A., 1981. Anticipated inflation and the capital stock in a cash-in-advance economy. Journal of Monetary Economics, 8, 387-93.

Tobin, J., 1965. Money and economic growth. Econometrica, 33, 671-684.

Venturini, F., 2012. Looking into the black box of Schumpeterian growth theories: An empirical assessment of R&D races. European Economic Review, 56, 1530-1545.

Wong, T., 2016. A tractable monetary model under general preferences. Review of Economic Studies, 83, 402-420.

Zweimuller, J., 2000. Schumpeterian entrepreneurs meet Engel's law: The impact of inequality on innovation-driven growth. Journal of Economic Growth, 5, 185-206.