The application of the Logical Sustainability Theory and other actuarial issues

This work is divided in two parts. The main topic of the first part is the sustainability of a Pension System. In particular starting from a general introduction about the Pension Systems referred to the first pillar (mandatory assistance) follows the description and the analysis of the Swedish Pension System framework. Subsequently the work describes the Logical Sustainability Theory introduced in the first time in Angrisani (2006) and updated in Angrisani and Di Palo (2008, 2019). Follow the applications of this Theory to the Swedish Pension System as shown in Angrisani, Di Palo and Fava (2021) and, in addiction, to a Pension Fund. The second part contains other two works carried out and published during the PhD. The first about the pricing of a Long Care Annuity (LCA) with Guaranteed Lifetime Withdrawal Benefits (GLWB), LCA-GLWB, by means of the adjustment of Exact Individual Trajectories (EIT) method introduced in Angrisani (1999).The second about the option pricing under the Heston framework. The results of this last paper are implemented in the pricing of the previous insurance policy LCA-GLWB. All the papers were published in the Annals of the MEMOTEF Department in the section refereed to high quality empirical and theoretical research papers after being subjected to double-blind peer review process.