A NOTE ON THE ANNUITY ROLE OF ESTATE TAX

The previous conclusion that a uniform lump-sum estate tax could implicitly provide annuity income was reached by ignoring the inheritance that agents receive. However, when the agents leave a bequest, they should also receive an inheritance from their parents. Thus, we make the inheritance received—bequests left cycle complete and fully endogenous. Interestingly, the differential timing and sizes of inheritance then generate unequal wealth effects even with actuarially fair annuity markets. To restore the first best, the government has to adopt an estate tax regime that is no longer uniform. Thus, once bequest is fully endogenized, a uniform estate tax no longer bears the annuity role. Further, the differential timing in receiving inheritance creates an unequal wealth distribution, which is also nonstationary. The paper manifests the importance of accounting for and tracing the inheritance received by agents for any crucial policy recommendation.

Annuity Markets and Capital Accumulation

We examine how the absence of annuities in financial markets affects capital accumulation in a two-period overlapping generations model. Our findings indicate that the effect on capital is ambiguous in general equilibrium, because there are two competing mechanisms at work. On the one hand, the absence of annuities increases the price of old-age consumption relative to the price of early-life consumption. This induces a substitution effect that reduces saving and capital, and an income effect that has the opposite effect as households want to consume less when young, causing them to save more. On the other hand, accidental bequests originate from the assets of the deceased under missing annuity markets. The bequest received in early life always has a positive income effect on saving, but the bequest received in old age, conditional on survival, is effectively a partial annuity with both substitution and income effects. We find that when the desire to smooth consumption is high, the income effects dominate, so the capital stock always increases when annuity markets are missing. However, when the desire to smooth consumption is low, the substitution effects dominate, and the capital stock decreases with missing annuity markets.

Stimulating annuity markets

We study the short-, medium-, and long-run implications of stimulating annuity markets in a dynamic general-equilibrium overlapping-generations model. We find that beneficial partial-equilibrium effects of stimulating annuity markets are counteracted by negative general-equilibrium repercussions. Balancing the positive partial-equilibrium and negative general-equilibrium forces we show that there exists an intermediate level of annuitization such that the lifetime utility of steady-state agents is maximized. Studying the transition to this optimal degree of annuitization shows that currently middle-aged individuals stand to gain most from the stimulation of annuity markets. Complementing our main analysis, we highlight the centrality of the interplay between human-capital accumulation and annuity market policy.