The change in economic and sociodemographic reality, characterized by a continuous increase in longevity, the consequences of the economic crisis, and the lack of adequate adjustments of social security retirement pension systems everywhere, entails risks for workers and the social security systems themselves. Many reforms of public pension systems have been carried out in recent years, based on modifying system parameters and structural changes. Some reforms aim at increasing capitalization in the determination of the final pension through a life annuity to complement the public retirement pension as a second retirement income. Against the background of the change of agents’ behaviors throughout the life cycle and the presence of an advers...