Abstract
In growth-cycle models, consumption smoothing motivates procyclical household savings and monopolistic competition engenders countercyclical horizontal R&D at fixed costs of capital. However, data in the US and in 15 OECD countries indicate countercyclical household saving, procyclical R&D, and high volatility. This paper explains the observed cyclical properties by realistic income taxes, R&D subsidies, R&D labor, and depreciation. R&D subsidies promote R&D to increase productivity by trading the levels for the varieties of intermediates. R&D-subsidy payments increase consumption and decrease household saving rates by raising taxable income beyond output, thus hindering future R&D and growth. Anticipated R&D-subsidy payments increase household-saving rates by raising returns to saving, thus promoting future R&D and growth. The US taxes yield unstable fluctuations with consecutive periods of R&D, low saving rates, and strong growth as in the technology boom. R&D labor and partial depreciation strengthen the roles of saving and R&D in attaining high volatility.
Similar content being viewed by others
References
Aghion, P., Howitt, P.: A model of growth through creative destruction. Econometrica 60, 323–351 (1992)
Aghion, P., Saint-Paul, G.: Virtues of bad times: interaction between productivity growth and economic fluctuation. Macroeconomic Dyn. 2, 322–344 (1998)
Aghion, P., Angeletos, G.-M., Banerjee, A., Manova, K.: Volatility and growth: Credit constraints and composition of investment. J. Monet. Econ. 57, 246–265 (2010)
Alene, A.D., Coulibaly, O.: The impact of agriculture research on productivity and poverty in sub-Saharan Africa. Food Policy 342, 198–209 (2009)
Aloi, M., Lasselle, L.: Growth and welfare effects of stabilizing innovation cycles. J. Macroeconomics 29, 806–823 (2007)
Backus, D.K., Kehoe, P.J.: International evidence of the historical properties of business cycles. Am. Econ. Rev. 82, 864–888 (1992)
Bambi, M., Gozzi, F., Licandro, O.: Endogenous growth and wave-like business fluctuations. J. Econ. Theory 154, 68–111 (2014)
Barlevy, G.: On the cyclicality of research and development. Am. Econ. Rev. 97, 1131–1164 (2007)
Barro, R.J., Sala-i-Martin, X.: Economic Growth, 2nd edn. MIT, Cambridge (2004)
Beaudry, P., Galizia, D., Portier., F.: Putting the cycle back into business cycle analysis. Am. Econ. Rev. 110, 1–47 (2020)
Bental, B., Peled, D.: The accumulation of wealth and the cyclic generation of new technologies: a search theoretic approach. Int. Econ. Rev. 37, 687–718 (1996)
Bianchi, F., Kung, H., Morales, G.: Growth, slowdowns, and recoveries. J. Monet. Econ. 101, 47–63 (2019)
Bilbiie, F.O., Ghironi, F., Melitz, M.J.: Endogenous entry, product variety, and business cycles. J. Polit. Econ. 120, 304–345 (2012)
Bilbiie, F.O., Ghironi, F., Melitz, M.J.: Monopoly power and endogenous product variety: distortions and remedies. Am. Econ. J. Macroecon. 11, 140–174 (2019)
Blanchard, O.J., Kahn, C.M.: The solution of linear difference models under rational expectation. Econometrica 48, 1305–1311 (1980)
Bloom, N., Griffith, R., Van Reenen, J.: Do R&D tax credit work? evidence from a panel of countries 1979–1997. J. Public Econ. 85, 1–31 (2002)
Broda, C., Weinstein, D.E.: Product creation and destruction: evidence and price implications. Am. Econ. Rev. 100, 691–723 (2010)
Christiano, L.J., Fitzgerald, T.J.: The band pass filter. Int. Econ. Rev. 44, 435–465 (2003)
Chu, A.C., Furukawa, Y., Mallick, S., Peretto, P., Wang, X.: Dynamic effects of patent policy on innovation and inequality in a Schumpeterian economy. Econ. Theory 71, 1429–1465 (2021)
Comin, D., Gertler, M.: Medium-term business cycles. Am. Econ. Rev. 96, 523–551 (2006)
Fabrizio, K.R., Tsolmon, U.: An empirical examination of the procyclicality of R&D investment and innovation. Rev. Econ. Stat. 96, 662–675 (2014)
Francois, P., Lloyd-Ellis, H.: Animal spirit through creative destruction. Am. Econ. Rev. 93, 530–550 (2003)
Francois, P., Lloyd-Ellis, H.: Schumpeterian cycles with pro-cyclical R&D. Rev. Econ. Dyn. 12, 567–591 (2009)
GAO–10–136. Tax Policy: The research tax credit’s design and administration can be improved. US government accountability office report (2009)
Gardini, L., Sushko, I., Naimzada, A.K.: Growing through chaotic intervals. J Econ. Theory 143, 541–557 (2008)
Goolsbee, A.: Investment tax incentives, prices, and the supply of capital goods. Q. J. Econ. 113, 121–148 (1998)
Greenwood, J., Hercowitz, Z., Huffman, G.W.: Investment, capacity utilization, and the real business cycles. Am. Econ. Rev. 78, 402–417 (1988)
Herzer, D.: The impact of domestic and foreign R&D on TFP in developing countries. World Dev. 151, 105754 (2022)
Hodrick, R.J., Prescott, E.C.: Postwar U.S. business cycles: an empirical investigation. J. Money Credit Bank 29, 1–16 (1997)
Inekwe, J.N.: The contribution of R&D expenditure to economic growth in developing countries. Soc. Indic. Res. 124, 727–745 (2015)
Jaimovich, E.: Quality growth: from process to product innovation along the path of development. Econ. Theory 71, 761–793 (2021)
Jung, J.: Technology, skill, and growth in a global economy. Econ. Theory 68, 609–641 (2019)
Kung, H., Schmid, L.: Innovation, growth, and asset prices. J. Finance 70, 1001–1037 (2015)
Li, T.-Y., Yorke, J.A.: Period three implies chaos. Am. Math. Mon. 82, 985–992 (1975)
Li, B., Zhang, J.: Subsidies in an economy with endogenous cycles over investment and innovation regimes. Macroeconomic Dyn. 18, 1351–1382 (2014)
Lusardi, A., Skinner, J.S., Venti, S.: Saving puzzles and saving policies in the United States. Oxf. Rev. Econ. Policy 17, 95–115 (2001)
Marsiglio, S., Tolotti, M.: Endogenous growth and technological progress with innovation driven by social interactions. Econ. Theory 65, 293–328 (2018)
Matsuyama, K.: Growing through cycles. Econometrica 67, 335–347 (1999)
Matsuyama, K.: Growing through cycles in an infinitely lived agent economy. J. Econ. Theory 100, 220–234 (2001)
McGrattan, E.R., Prescott, E.: Unmeasured investment and the puzzling US boom in the 1990s. Am. Econ. J. Macroecon. 2, 88–123 (2010)
Minniti, A., Parello, C.P., Segerstrom, P.S.: A Schumpeterian growth model with random quality improvements. Econ. Theory 52, 755–791 (2013)
Mitra, T.: A sufficient condition for topological chaos with an application to a model of endogenous growth. J. Econ. Theory 96, 133–152 (2001)
Moran, P., Queralto, A.: Innovation productivity and monetary policy. J Monet Econ 93, 24–41 (2018)
National center for science and engineering statistics. R&D employment by business in the U.S. (2016)
Ouyang, M.: On the cyclicality of R&D. Rev. Econ. and Stat. 93, 542–553 (2011)
Posch, O.: Explaining output volatility: the case of taxation. J. Public Econ. 95, 1589–1606 (2011)
Posch, O., Wälde, K.: On the link between volatility and growth. J. Econ. Growth 16, 285–308 (2011)
Ramey, G., Ramey, V.A.: Cross-country evidence on the link between volatility and growth. Am. Econ. Rev. 85, 1138–1151 (1995)
Rivera-Batiz, L.A., Romer, P.M.: Economic integration and endogenous growth. Q. J. Econ. 106, 531–555 (1991)
Santacreu, A.M.: Innovation, diffusion, and trade: theory and measurement. J. Monet. Econ. 75, 1–20 (2015)
Schumpeter, J.: The theory of economic development. Harvard University Press, Cambridge, MA (1934)
Summers, L.H.: Capital taxation and accumulation in a life cycle growth model. Am. Econ. Rev. 71, 533–544 (1981)
Wälde, K.: Endogenous growth cycles. Int. Econ. Rev. 46, 867–894 (2005)
Wälde, K., Woitek, U.: R&D expenditure in G7 Countries and the implications for endogenous fluctuations and growth. Econ. Lett. 82, 91–97 (2004)
Wan, J., Zhang, J.: Optimal growth through innovation, investment, and labor. Eur. Econ. Rev. 132, 103644 (2021)
Zhang, J.: Optimal taxation with externalities of consumption and education spending. Oxf. Econ. Pap. 73, 460–478 (2021)
Zhang, J., Davies, J., Zeng, J., Stuart, M.: Optimal taxation in a growth model with public consumption and home production. J. Public Econ. 92, 885–896 (2008)
Acknowledgements
The authors would like to thank Editor Nicholas Yannelis, an anonymous Associate Editor, and two anonymous reviewers for their valuable comments and suggestions. Wan gratefully acknowledges the financial support from the National Social Science Fund of China (Grant No. 22BJL021). The usual disclaimer applies.
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
About this article
Cite this article
Wan, J., Zhang, J. R&D subsidies, income taxes, and growth through cycles. Econ Theory 76, 827–866 (2023). https://doi.org/10.1007/s00199-022-01480-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s00199-022-01480-y