Profit testing in the development of endowment life insurance

V magistrskem delu so obravnavana različna življenjska zavarovanja, pri katerih je višina premije določena s pomočjo tablic smrtnosti. Delo je razdeljeno na dva dela, teoretični in uporabni del. V teoretičnem delu so najprej opisani osnovni pojmi iz verjetnosti in statistike. Predstavljeno je tudi teoretično ozadje življenjskih zavarovanj s stališča smrtnosti in naključnih dogodkov. Opisan je začetek razvoja tablic smrtnosti, njihova konstrukcija in osnovne funkcije. Poleg slovenskih tablic smrtnosti so obravnavane tudi angleške tablice smrtnosti, ki so ločene za kadilce in nekadilce. Definiran je splošni model življenjskih zavarovanj, s pomočjo katerega so določena poljubna življenjska zavarovanja, pri katerih se ustrezno spreminjata funkcija dobička in diskontna funkcija. Poleg neto in bruto premij so obravnavane tudi matematične rezervacije. V uporabnem delu magistrskega dela je razvit model mešanega življenjskega zavarovanja za obdobje 20 let. Uporabljene so novo konstruirane tablice smrtnosti za Slovenijo, ki so dobljene iz angleških tablic smrtnosti. Izračun verjetnosti smrti je odvisen od verjetnosti smrti kadilcev in nekadilcev, ločeno za posamezni spol. Poleg opisa testa dobičkonosnosti so predstavljene tudi predpostavke, na podlagi katerih je test narejen. Poslovna strategija zavarovalnice je določena na podlagi različnih scenarijev.The master thesis presents different types of life insurances in which the height of premiums is determined with the help of life tables. It is divided into theoretical and practical part. The theoretical part presents basic notions of probability and statistics as well as a theoretical background from the point of view of an actuary in which fundamental notions related to random events and mortality are described. It describes not only the beginning of the development of life tables and their basic functions but also Slovene and English life tables which are based on clients\u27 relations to smoking and have therefore been specifically formed for smokers and non-smokers. It also presents a general life insurance model which is the basis for various other life insurance options where the profit function and the discount function properly change. Beside net and gross premiums it also describes mathematical reserves. The practical part of master thesis is focused on the presentation of an endowment life insurance model for a period of 20 years in which newly formed life tables for Slovenia based on English ones are used. The calculation of death probability depends on death probability of smokers and non-smokers, calculated separately for women and men. It is followed by a description of a profit test and presumptions on which that test is based. Strategic management of an insurance company is determined on the basis of various scenarios