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 a model departing from “perpetual youth” by assuming age-dependent survival probabilities. We show that life-cycle behavior combined with age-dependent survival laws can reproduce our empirical finding.