On the distribution of lifetime wealth accumulation

I derive a stationary distribution of lifetime wealth accumulation factor in a model featuring inheritance of productivity, wealth, and health condition, where lifetime wealth is the sum of financial wealth and human wealth. Assuming ex-ante heterogeneity in the death rate, I show that the distribution of the lifetime wealth accumulation factor is constituted by a weighted sum of shape-differing Pareto distributions. It is shown that raising the wealth tax reduces inequality of lifetime wealth not only within a death-rate type but also across all the death-rate types.