Published online by Cambridge University Press: 21 June 2017
I investigate a simple continuous-time overlapping generations model with a neoclassical production function. I demonstrate that the degree of wealth inequality is positively related to the difference between the real interest rate r and the growth rate of income g, and if g falls, the r – g gap widens and inequality worsens. I also argue that a wealth tax reduces the wealth inequality. All these results are consistent with the famous predictions advanced by Thomas Piketty in Capital in the Twenty-First Century (2014).
This study is conducted as a part of the Project “Sustainable Growth and Macroeconomic Policy” undertaken at Research Institute of Economy, Trade and Industry (RIETI). I am grateful for helpful comments and suggestions by Hiroshi Yoshikawa, Takashi Unayama, Masayuki Keida, Koichi Ando, and Discussion Paper seminar participants at RIETI. I also thank three referees for their valuable comments.