The role of longevity risk in Hungary

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.

A bizonytalanságnak és a vevőkör nagyságának együttes hatása az árakra (Investigating how the number of policies effect the optimum insurance premium)

Ebben a cikkben azzal foglalkozom, hogy a kockázat és a vevőkör nagysága együttesen hogyan hat a termék árára. Kétféle piacot hasonlítok össze: egy biztosítási piacot, és egy termékpiacot. A kétféle piac között az a legfontosabb különbség, hogy termékpiac esetében az eladó számára csak ott jelentkezik kockázat, hogy el tudja-e adni a terméket, míg biztosítási piac esetében az eladó a termék értékesítése után is szembesül kockázattal. A cikk során megmutatom, hogy a vevőkör növekedésének ellentétes hatása lehet a termék árára termék- illetve biztosítási piacok esetében. / === / An economic approach for modeling the insurance markets. The study focuses on the monopolistic market, where one insurance company sells a product with predetermined benefits for the customers. An outline of the company and the insureds' behavior with utility functions is given. The study investigates the problem of policy pricing in relation to the number of clients the company acquires. Analytic tools will be used to further clarify the points.