On Growth-Optimal Tax Rates and the Issue of Wealth Inequalities

9 Pages Posted: 9 Aug 2015 Last revised: 28 Aug 2015

Date Written: August 8, 2015

Abstract

We consider a highly stylized, yet non trivial model of the economy, with a public and private sector coupled through a wealth tax and a redistribution policy. The model can be fully solved analytically, and allows one to address the question of optimal taxation and of wealth inequalities. We find that according to the assumption made on the relative performance of public and private sectors, three situations are possible. Not surprisingly, the optimal wealth tax rate is either 0% for a deeply dysfunctional government and/or highly productive private sector or 100% for a highly efficient public sector and/or debilitated/risk averse private investors. If the gap between the public/private performance is moderate, there is an optimal positive wealth tax rate maximizing economic growth, even – counter-intuitively – when the private sector generates more growth. The compromise between profitable private investments and taxation however leads to a residual level of inequalities. The mechanism leading to an optimal growth rate is related the well-known explore/exploit trade-off.

Keywords: Wealth inequalities, optimal tax rate, multiplicative random growth, explore-exploit tradeoff

JEL Classification: H21, O40, D63

Suggested Citation

Bouchaud, Jean-Philippe, On Growth-Optimal Tax Rates and the Issue of Wealth Inequalities (August 8, 2015). Available at SSRN: https://ssrn.com/abstract=2641278 or http://dx.doi.org/10.2139/ssrn.2641278

Jean-Philippe Bouchaud (Contact Author)

Capital Fund Management ( email )

23 rue de l'Université
Paris, 75007
France
+33 1 49 49 59 20 (Phone)

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