Journal of Population Economics

A key challenge to theories of long-run economic growth has been linking the onset of modern growth with the move to modern fertility limitation. A notable puzzle for these theories is that modern growth in England began around 1780, 100 years before there was seemingly any movement to limit fertility. Here we show that the aggregate data on fertility in England before 1880 conceals significant declines in the fertility of the middle and upper classes earlier. These declines coincide with the Industrial Revolution and are of the character predicted by some recent theories of long-run growth.

Samuelson’s (Int Econ Rev 16(3):531-538, 1975) serendipity theorem states that the “goldenest golden rule” steady-state equilibrium can be obtained by a competitive two-period overlapping generation economy with capital accumulation, provided that the optimal growth rate prevails. De la Croix et al. (J Popul Econ 25:899-922, 2012) extended the scope of the theorem by showing that it also holds for risky lifetime. With this note, we introduce medical expenditure as a determinant of the probability of surviving to old age to prove the theorem. The original as well as all extended versions of the serendipity theorem, however, fail to prove that second-order conditions are satisfied in general. Still, unlike De la Croix et al. (J Popul Econ 25:899-922, 2012), we can exclude the existence of corner solutions where the probability of reaching old age is zero or one. The zero survival probability case becomes irrelevant if the option to randomize between death and life utility is taken into account. Survival with certainty is ruled out if the marginal cost of survival is increasing. Hence, the optimal survival probability represents an interior solution. Furthermore, we show for the optimal survival probability that the value of a statistical life is positive and equal to its marginal cost.

This paper studies social security reforms in a model with declining population growth and increasing life expectancy. Based on simulations using data on China, it is found that a switch from a pay-as-you-go (PAYG) system to a notional defined contribution system favors the rich, causes the poor to work more, and may change the capital-effective labor ratio depending on the rate of return to personal accounts. A switch from the PAYG system to a modified PAYG system that saves part of the receipts, with the interest rate greater than the growth rate, increases labor supply and decreases the capital-effective labor ratio in period one; decreases labor supply and increases the capital-effective labor ratio after period one; and hurts the poor old more than the rich old while benefitting the poor in future generations more than the rich. If the interest rate is less than the growth rate, the accumulated funds are insufficient to balance the social security budget.

Around 9 % of the Lithuanian workforce emigrated to Western Europe after the enlargement of the European Union in 2004. I exploit this emigration wave to study the effect of emigration on wages in the sending country. Using household data from Lithuania and work permit and census data from the UK and Ireland, I demonstrate that emigration had a significant positive effect on the wages of stayers. A one-percentage-point increase in the emigration rate predicts a 0.67 % increase in real wages. This effect, however, is only statistically significant for men.

As spaces in public schools are limited, a substantial number of migrant children living in Chinese cities but without local hukou are enrolled in private migrant schools. This paper studies the quality of migrant schools using data collected in Shanghai in 2010 and 2012. Although students in migrant schools perform considerably worse than their counterparts in public schools, the test score difference in mathematics has almost been halved between 2010 and 2012, due to increased financial subsidy from the government. We rule out alternative explanations for the convergence in test scores. We also conduct a falsification test and find no relative changes in the performance of migrant school students based on a follow-up survey of a new cohort of students in 2015 and 2016, a period with no changes in financial subsidies to migrant schools.