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The paper discusses the hypothesis that the functional distribution of income is not necessary stable along the growth path of a capitalist economy. We reviewed Pasinetti and Foley models showing that if we use the traditional definition of capital, i.e., capital as the value of productive resources (i) r > g is a necessary condition for the existence of balanced growth, and it will not lead to an explosive process of income concentration and (ii) r > i is a necessary condition for a financially robust growth path. Thus we conclude that from a post-Keynesian perspective, Piketty's argument that the root of the increase of inequality in capitalism is that the capital return rate is higher than the growth rate of the economy is wrong. [ABSTRACT FROM AUTHOR]