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R&D subsidies, income taxes, and growth through cycles

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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.

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References

  • Aghion, P., Howitt, P.: A model of growth through creative destruction. Econometrica 60, 323–351 (1992)

    Article  Google Scholar 

  • Aghion, P., Saint-Paul, G.: Virtues of bad times: interaction between productivity growth and economic fluctuation. Macroeconomic Dyn. 2, 322–344 (1998)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Alene, A.D., Coulibaly, O.: The impact of agriculture research on productivity and poverty in sub-Saharan Africa. Food Policy 342, 198–209 (2009)

    Article  Google Scholar 

  • Aloi, M., Lasselle, L.: Growth and welfare effects of stabilizing innovation cycles. J. Macroeconomics 29, 806–823 (2007)

    Article  Google Scholar 

  • Backus, D.K., Kehoe, P.J.: International evidence of the historical properties of business cycles. Am. Econ. Rev. 82, 864–888 (1992)

    Google Scholar 

  • Bambi, M., Gozzi, F., Licandro, O.: Endogenous growth and wave-like business fluctuations. J. Econ. Theory 154, 68–111 (2014)

    Article  Google Scholar 

  • Barlevy, G.: On the cyclicality of research and development. Am. Econ. Rev. 97, 1131–1164 (2007)

    Article  Google Scholar 

  • Barro, R.J., Sala-i-Martin, X.: Economic Growth, 2nd edn. MIT, Cambridge (2004)

    Google Scholar 

  • Beaudry, P., Galizia, D., Portier., F.: Putting the cycle back into business cycle analysis. Am. Econ. Rev. 110, 1–47 (2020)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Bianchi, F., Kung, H., Morales, G.: Growth, slowdowns, and recoveries. J. Monet. Econ. 101, 47–63 (2019)

    Article  Google Scholar 

  • Bilbiie, F.O., Ghironi, F., Melitz, M.J.: Endogenous entry, product variety, and business cycles. J. Polit. Econ. 120, 304–345 (2012)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Blanchard, O.J., Kahn, C.M.: The solution of linear difference models under rational expectation. Econometrica 48, 1305–1311 (1980)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Broda, C., Weinstein, D.E.: Product creation and destruction: evidence and price implications. Am. Econ. Rev. 100, 691–723 (2010)

    Article  Google Scholar 

  • Christiano, L.J., Fitzgerald, T.J.: The band pass filter. Int. Econ. Rev. 44, 435–465 (2003)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Comin, D., Gertler, M.: Medium-term business cycles. Am. Econ. Rev. 96, 523–551 (2006)

    Article  Google Scholar 

  • Fabrizio, K.R., Tsolmon, U.: An empirical examination of the procyclicality of R&D investment and innovation. Rev. Econ. Stat. 96, 662–675 (2014)

    Article  Google Scholar 

  • Francois, P., Lloyd-Ellis, H.: Animal spirit through creative destruction. Am. Econ. Rev. 93, 530–550 (2003)

    Article  Google Scholar 

  • Francois, P., Lloyd-Ellis, H.: Schumpeterian cycles with pro-cyclical R&D. Rev. Econ. Dyn. 12, 567–591 (2009)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Goolsbee, A.: Investment tax incentives, prices, and the supply of capital goods. Q. J. Econ. 113, 121–148 (1998)

    Article  Google Scholar 

  • Greenwood, J., Hercowitz, Z., Huffman, G.W.: Investment, capacity utilization, and the real business cycles. Am. Econ. Rev. 78, 402–417 (1988)

    Google Scholar 

  • Herzer, D.: The impact of domestic and foreign R&D on TFP in developing countries. World Dev. 151, 105754 (2022)

    Article  Google Scholar 

  • Hodrick, R.J., Prescott, E.C.: Postwar U.S. business cycles: an empirical investigation. J. Money Credit Bank 29, 1–16 (1997)

    Article  Google Scholar 

  • Inekwe, J.N.: The contribution of R&D expenditure to economic growth in developing countries. Soc. Indic. Res. 124, 727–745 (2015)

    Article  Google Scholar 

  • Jaimovich, E.: Quality growth: from process to product innovation along the path of development. Econ. Theory 71, 761–793 (2021)

    Article  Google Scholar 

  • Jung, J.: Technology, skill, and growth in a global economy. Econ. Theory 68, 609–641 (2019)

    Article  Google Scholar 

  • Kung, H., Schmid, L.: Innovation, growth, and asset prices. J. Finance 70, 1001–1037 (2015)

    Article  Google Scholar 

  • Li, T.-Y., Yorke, J.A.: Period three implies chaos. Am. Math. Mon. 82, 985–992 (1975)

    Article  Google Scholar 

  • Li, B., Zhang, J.: Subsidies in an economy with endogenous cycles over investment and innovation regimes. Macroeconomic Dyn. 18, 1351–1382 (2014)

    Article  Google Scholar 

  • Lusardi, A., Skinner, J.S., Venti, S.: Saving puzzles and saving policies in the United States. Oxf. Rev. Econ. Policy 17, 95–115 (2001)

    Article  Google Scholar 

  • Marsiglio, S., Tolotti, M.: Endogenous growth and technological progress with innovation driven by social interactions. Econ. Theory 65, 293–328 (2018)

    Article  Google Scholar 

  • Matsuyama, K.: Growing through cycles. Econometrica 67, 335–347 (1999)

    Article  Google Scholar 

  • Matsuyama, K.: Growing through cycles in an infinitely lived agent economy. J. Econ. Theory 100, 220–234 (2001)

    Article  Google Scholar 

  • McGrattan, E.R., Prescott, E.: Unmeasured investment and the puzzling US boom in the 1990s. Am. Econ. J. Macroecon. 2, 88–123 (2010)

    Article  Google Scholar 

  • Minniti, A., Parello, C.P., Segerstrom, P.S.: A Schumpeterian growth model with random quality improvements. Econ. Theory 52, 755–791 (2013)

    Article  Google Scholar 

  • Mitra, T.: A sufficient condition for topological chaos with an application to a model of endogenous growth. J. Econ. Theory 96, 133–152 (2001)

    Article  Google Scholar 

  • Moran, P., Queralto, A.: Innovation productivity and monetary policy. J Monet Econ 93, 24–41 (2018)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

  • Posch, O.: Explaining output volatility: the case of taxation. J. Public Econ. 95, 1589–1606 (2011)

    Article  Google Scholar 

  • Posch, O., Wälde, K.: On the link between volatility and growth. J. Econ. Growth 16, 285–308 (2011)

    Article  Google Scholar 

  • Ramey, G., Ramey, V.A.: Cross-country evidence on the link between volatility and growth. Am. Econ. Rev. 85, 1138–1151 (1995)

    Google Scholar 

  • Rivera-Batiz, L.A., Romer, P.M.: Economic integration and endogenous growth. Q. J. Econ. 106, 531–555 (1991)

    Article  Google Scholar 

  • Santacreu, A.M.: Innovation, diffusion, and trade: theory and measurement. J. Monet. Econ. 75, 1–20 (2015)

    Article  Google Scholar 

  • Schumpeter, J.: The theory of economic development. Harvard University Press, Cambridge, MA (1934)

    Google Scholar 

  • Summers, L.H.: Capital taxation and accumulation in a life cycle growth model. Am. Econ. Rev. 71, 533–544 (1981)

    Google Scholar 

  • Wälde, K.: Endogenous growth cycles. Int. Econ. Rev. 46, 867–894 (2005)

    Article  Google Scholar 

  • Wälde, K., Woitek, U.: R&D expenditure in G7 Countries and the implications for endogenous fluctuations and growth. Econ. Lett. 82, 91–97 (2004)

    Article  Google Scholar 

  • Wan, J., Zhang, J.: Optimal growth through innovation, investment, and labor. Eur. Econ. Rev. 132, 103644 (2021)

    Article  Google Scholar 

  • Zhang, J.: Optimal taxation with externalities of consumption and education spending. Oxf. Econ. Pap. 73, 460–478 (2021)

    Article  Google Scholar 

  • 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)

    Article  Google Scholar 

Download references

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.

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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

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