Μελέτη των μέτρων κινδύνων με εφαρμογές στον υπολογισμό των ασφαλίστρων
Study of risk measures with applications on premiums calculation

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Subject
Ασφαλιστικά μαθηματικά ; Ασφαλιστήρια -- Συμβόλαια ; Κίνδυνος (Ασφάλεια) -- Μαθηματικά μοντέλαKeywords
ΑσφάλιστραAbstract
In the present thesis, it will be presented a different method of pricing policies. This
method is based on the particular characteristics of the distribution function of the risk
we want to insure. Using this method, we no longer need to choose an utility function.
As a result, pricing does not depend on the actuary’s subjectivity. In order to apply
this method, we only need to know the arithmetical values of statistical
measurements. Such measurements can be found using empirical data and therefore,
the distribution function is not needed. Since there are times in which is difficult to
find the distribution function of the risk, methods of approximation are suggested.
Using arithmetical examples, it has been proved, that these methods of approximation
are satisfactory. One of these approximations is the approximation of Normal Power
distribution.