Affiliation:
1. Department of Mathematics and Statistics St. Francis Xavier University Antigonish Nova Scotia Canada
2. School of Mathematical and Statistical Sciences Arizona State University Tempe Arizona USA
3. Department of Statistics and Actuarial Science University of Hong Kong Hong Kong People's Republic of China
Abstract
AbstractCurrently, most academic research involving the mortality modeling of multiple populations mainly focuses on factor‐based approaches. Increasingly, these models are enriched with socio‐economic determinants. Yet these emerging mortality models come with little attention to interpretable spatial model features. Such features could be highly valuable to demographers and old‐age benefit providers in need of a comprehensive understanding of the impact of economic growth on mortality across space. To address this, we propose and investigate a family of models that extend the seminal Li‐Lee factor‐based stochastic mortality modeling framework to include both economic growth, as measured by the real gross domestic product (GDP), and spatial patterns of the contiguous United States mortality. Model selection performed on the introduced new class of spatial models shows that based on the AIC criteria, the introduced spatial lag of GDP with GDP (SLGG) model had the best fit. The out‐of‐sample forecast performance of SLGG model is shown to be more accurate than the well‐known Li–Lee model. When it comes to model implications, a comparison of annuity pricing across space revealed that the SLGG model admits more regional pricing differences compared to the Li‐Lee model.