Jump to ContentJump to Main Navigation
Show Summary Details
More options …

Journal of Applied Mathematics, Statistics and Informatics

The Journal of University of Saint Cyril and Metodius

Editor-in-Chief: Kvasnicka, Vladimír

2 Issues per year

Mathematical Citation Quotient (MCQ) 2016: 0.02

Open Access
See all formats and pricing
More options …

Actuarial Modeling of Life Insurance Using Decrement Models

Iveta Dirgová Luptáková
  • Corresponding author
  • Department of Applied Informatics and Mathematics Faculty of Natural Science University of SS. Cyril and Methodius, Nám. J. Herdu 2, 917 01 Trnava, Slovakia tel. 033/55 65 372
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Mária Bilíková
  • Corresponding author
  • Department of Mathematics and Actuarial Science, Faculty of Economic Informatics, University of Economics in Bratislava, Dolnozemská cesta 1/b, 852 35 Bratislava, Slovakia tel. 02/672 95 842
  • Email
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2014-07-15 | DOI: https://doi.org/10.2478/jamsi-2014-0008


The aim of this paper is to elucidate decrement models and their use in actuarial calculations in life insurance. The first part deals with the most often used decrement model, the mortality table. The second part gives an example based on a simple model to illustrate the creation of a multi-valued decrement table using the data from the single-value tables for a group of decrements and their use in insurance mathematical calculations.

Keywords: life insurance; decrement models; mortality tables; actuarial calculations; multiple-state and multiple-decrement models; construction of decrement tables


  • [1] BILÍKOVÁ, M., LUPTÁKOVÁ, I.: Pouzitie viacstavovych modelov v aktu árskych vypoctoch pri poistení osôb. (The use of multiple-state models in actuarial calculations for life insurance) Ekonomika a informatika no. 1/2005, Bratislava EU, 2005 ISSN 1336-3514.Google Scholar

  • [2] BILÍKOVÁ, M. 2003. Spojité metódy vpoistnej matematike. (Continuous methods in insurance mathematics) Bratislava: EKONÓM Publishers, 2003Google Scholar

  • [3] CIPRA, T. 1999. Pojistná matematika teoria a praxe. (Insurance mathematics in theory and practice) Praha: Ekopress, 1999.Google Scholar

  • [4] SAKÁLOVÁ, K. 2001. Oceňovanie produktov v životnom poistení. (Product pricing in life insurance) Bratislava: EKONÓM Publishers, 2001.Google Scholar

  • [5] SEKEROVÁ, V. - BILÍKOVÁ, M. 2007. Poistná matematika. (Insurance mathematics) Bratislava: EKONÓM Publishers, 2007.Google Scholar

  • [6] ŠPIRKOVÁ, J. - URBANÍKOVÁ, M. 2012. Aktuárska matematika - životné poistenie. (Actuarial mathematics - life insurance) Bratislava: IuraEdition, 2012.Google Scholar

  • [7] Module D “Actuarial Mathematics” - study material. Actuarial Education Service. Oxford 1993.Google Scholar

About the article

Published Online: 2014-07-15

Citation Information: Journal of Applied Mathematics, Statistics and Informatics, Volume 10, Issue 1, Pages 81–91, ISSN (Online) 1336-9180, DOI: https://doi.org/10.2478/jamsi-2014-0008.

Export Citation

© 2014 Faculty of Natural Sciences, University of Saint Cyril and Metodius. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

Comments (0)

Please log in or register to comment.
Log in