The role of longevity risk in Hungary

Abstract

In this paper, I analyze the role of longevity risk in Hungary in the public pension system and the life annuity segment of the life insurance market, which are two primary financial sectors of relevance to this special type of actuarial risk, using state-of-the- art econometric methodology. To this end, I present an overview and the mathematical background of several important current mortality forecasting techniques from the Lee–Carter model up to unifying paradigm of the Age–Period–Cohort family of models. After presenting the findings of a case study on the public pension system based on the paper of Bajk ́o, Maknics, T ́oth and V ́ekas, I conclude that longevity risk jeopardizes the sustainability of the Hungarian public pension system in the long run. In another case study, I present an analysis of the role of longevity risk in the pre- mium of private pension annuities, a relevant topic due to recent changes in a law on Hungarian voluntary pension funds, following an earlier analysis of M ́ajer and Kov ́acs. Based on the criterion on out-of-sample forecasting accuracy, I find that the Cairns–Blake– Dowd mortality forecasting model aimed specifically at modeling old-age mortality outperforms the Lee–Carter model applied by M ́ajer and Kov ́acs . Based on numerical results, I finally conclude that the role of longevity risk in the Hungarian life annuity mar- ket has increased significantly in the past decade and is likely to further increase in the future.