We quantify the importance of endogenous human capital and of selection effects for counterfactual analysis of social security (SS) reforms. The literature typically performs these analyses by using structural models featuring exogenous productivity profiles. However, this approach faces two issues: (i) the estimation of productivity is subject to selection bias, and (ii) productivity is endogenous to the SS reforms. In this paper, we estimate a quantitative overlapping generations model featuring endogenous human capital accumulation using US data. First, we eliminate the SS and find a large positive effect on aggregate effective labor supply (${+}10.31\%$). Next, we build variants of this model to quantify the two issues (i) and (ii). We find that the endogeneity issue (ii) is quantitatively more important than the selection bias issue (i).

Advanced economies undergo three transitions during their development: (1) transition from a rural to an urban economy, (2) transition from low-income growth to high-income growth, (3) transition from high fertility and mortality rates to low modern levels. The timings of these transitions are correlated in the historical development of most advanced economies. I consider a nonlinear model of endogenous long-run economic and demographic change, in which child quantity-quality substitution is driven by declining child mortality. Because the model captures the interactions between all three transitions, it is able to explain three additional empirical patterns: a declining urban-rural wage gap, a declining rural-urban family size ratio, and most surprisingly, that early urbanization slows development. This third prediction distinguishes the model from other theories of long-run growth, and I document evidence for it in cross-country data.

This paper reexamines the Serendipity Theorem of Samuelson (1975) from the stability viewpoint, and shows that, for the Cobb–Douglas preference and CES technology, the most-golden golden-rule lifetime state being stable depends on parameter values. In some situations, the Serendipity Theorem fails to hold despite the fact that steady-state welfare is maximized at the population growth rate, since the steady state is unstable. Through numerical simulations, a more general case of CES preference and CES technology is also examined, and we discuss the realistic relevance of our results. We present the policy implication of our result, that is, in some cases, the steady state with the highest utility is unstable, and thus a policy that aims to achieve the social optima by manipulating the population growth rate may lead to worse outcomes.

Cet article examine la relation entre le taux de croissance de la masse monétaire et l'accumulation du capital physique durant la dynamique transitoire d'un modèle de croisssance endogène à deux secteurs (capital humain et capital physique) à la Lucas [1988]. Utilisant une fonction d'utilité CES, on montre que, sur la trajectoire d'ajustement, pour un rapport initial du capital physique sur le capital humain inférieur à sa valeur stationnaire, le saut de l'investissement en réponse à un accroissement du taux de croissance de la masse monétaire a le signe de (S – 1)(S – σ), où S est l'élasticité de substitution intertemporelle, et σ l'élasticité instantanée de substitution entre consommation et monnaie. Les propriétés d'hystérèse des modèles de croissance endogène sont ensuite invoquées pour mettre en évidence la non-superneutralité de la monnaie à long terme sur le niveau des variables réelles.