Capital income taxation when inherited wealth is not observable

This paper extends the Atkinson–Stiglitz model of direct and indirect taxation to a dynamic setting with two unobservable characteristics: productive ability and inherited wealth. Bequests are motivated by the ‘joy of giving’. A child’s inheritance is a random variable with a probability distribution that depends on his parent’s investment in a ‘bequest technology’. Public borrowing is assumed and implies the modified golden rule. We study the optimal tax policy when two instruments are available: a non-linear (wage) income tax and a proportional tax on capital income. We show that the second instrument ought, in general, to be used but that the tax rate is not necessarily positive. However, a positive tax rate is more likely when there is a positive correlation between inherited wealth and innate ability.