Υπολογισμός ασφαλίστρου με μεθόδους προσομοίωσης
Calculation of premium using simulation methods
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Keywords
Προσομοίωση ; Ασφαλιστηκό σχήμα ; ΑσφάλιστροAbstract
Insurance constitutes one of the oldest methods of protection against financial losses, with a history spanning hundreds of years. One of its primary purposes is to restore the policyholder to the state was being in before the occurrence of the loss event. Actuarial science provides the theoretical and methodological framework for the risk assessment and management. The objective of this dissertation is to demonstrate the necessity of using simulation methods in premium calculation, offering the primary insurer the ability to propose to the insured a product tailored to the latter’s needs. In the first chapter, the fundamental concepts of insurance, reinsurance, and the notion of risk are presented, along with the main categories into which risks are classified. The second chapter introduces various insurance and reinsurance schemes, such as excess of loss, franchise deductible, retention limit, and composite arrangements. This dissertation focuses on an interesting variation of a classical insurance scheme, which aims at reducing the premium. More specifically, in the third chapter a case study is conducted, applying simulation methods to selected distributions, namely Poisson-Pareto, Poisson-Lognormal, and Poisson-Inverse Gaussian. Numerical examples are employed, and the various parameters that may influence the outcome are analyzed.