This book discusses the payout phase of the old-age pension saving scheme, the so-called effective premium, and offers detailed actuarial models and analyses of five old-age pension saving products used in practice. These include the basic permanent monthly annuity, without any benefits for survivors, as well as products which, in addition, also include benefits for survivors or authorized persons in the event of the pensioner's death. The purpose of the book is to point out the method of determining future old-age pensions from old-age pension savings, and to present the advantages and disadvantages of such a pension. The book also emphasizes the role of the profitability testing of the products and answers questions concerning the effectiveness of old-age pension savings and insurance. The book is primarily intended for students of actuarial and financial mathematics and future economists.

Jana Špirková is an Associate Professor at the Department of Quantitative Methods and Information Systems, Faculty of Economics, Matej Bel University in Banská Bystrica, Slovakia. Her research focuses on fuzzy set theory, aggregation functions, and actuarial mathematics. She is a member of the European Society for Fuzzy Logic and Technology, Slovak Society of Actuaries and a chairman of a local branch of the Union of Slovak Mathematicians and Physicists.

Igor Kollár is an Assistant Professor at the Department of Quantitative Methods and Information Systems, Faculty of Economics, Matej Bel University in Banská Bystrica, Slovakia. He works in the field of information systems, SAP, data processing and modelling using different tools.

Gábor Szucs is an Assistant Professor at the Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Slovakia. He works in the field of mathematical modelling of pension fund systems and insurance risk factors. He is a member of the Slovak Statistical and Demographic Society and of the Slovak Society of Actuaries.

Pavel Zimmermann is an Assistant Professor at the Department of Information Technologies, Faculty of Informatics and Statistics, Prague University of Economics and Business, Czech Republic. His research focuses on actuarial mathematics, demographical models and machine learning. He also has practical experience as an insurance risk manager and a risk model developer. He works as a partner and actuarial consultant in Tools4F. He is a member of Czech Society of Actuaries and Fellow of an International Actuarial Association Organization.

Autorentext

Jana spirková is an Associate Professor at the Department of Quantitative Methods and Information Systems, Faculty of Economics, Matej Bel University in Banská Bystrica, Slovakia. Her research focuses on fuzzy set theory, aggregation functions, and actuarial mathematics. She is a member of the European Society for Fuzzy Logic and Technology, Slovak Society of Actuaries and a chairman of a local branch of the Union of Slovak Mathematicians and Physicists.

Igor Kollár is an Assistant Professor at the Department of Quantitative Methods and Information Systems, Faculty of Economics, Matej Bel University in Banská Bystrica, Slovakia. He works in the field of information systems, SAP, data processing and modelling using different tools.

Gábor Szucs is an Assistant Professor at the Department of Applied Mathematics and Statistics, Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Slovakia. He works in the field of mathematical modelling of pension fund systems and insurance risk factors. He is a member of the Slovak Statistical and Demographic Society and of the Slovak Society of Actuaries.

Pavel Zimmermann is an Assistant Professor at the Department of Information Technologies, Faculty of Informatics and Statistics, Prague University of Economics and Business, Czech Republic. His research focuses on actuarial mathematics, demographical models and machine learning. He also has practical experience as an insurance risk manager and a risk model developer. He works as a partner and actuarial consultant in Tools4F. He is a member of Czech Society of Actuaries and Fellow of an International Actuarial Association Organization.