A Closer Look at the Relationship Between Life Expectancy and Economic Growth

We first provide a nonparametric inference of the relationship between life expectancy and economic growth on an historical data for 18 countries over the period 1820-2005. The obtained shape shows up convexity for low enough values of life expectancy and concavity for large enough values. We then study this relationship on a benchmark model combining perpetual youth" and learning-by-investing. In such a benchmark, the generated relationship between life expectancy and economic growth is shown to be strictly increasing and concave. We finally examine two models departing from perpetual youth" by assuming successively age-dependent earnings and age-dependent survival probabilities. With age-dependent earnings, the obtained relationship is hump-shaped while agedependent survival laws do reproduce the convex-concave shape detected in the prior empirical study.