IDEAS home Printed from https://ideas.repec.org/a/beo/journl/v63y2018i217p99-128.html
   My bibliography  Save this article

Internal Model For Measuring Premium Risk In Determining Solvency Of Non-Life Insurers

Author

Listed:
  • Jelena Kočović
  • Marija Koprivica

Abstract

Under contemporary dynamic approaches the solvency of insurance companies is determined by measuring the risks that threaten their business. This paper presents an internal model for measuring premium risk when evaluating the solvency of non-life insurers. The solvency capital requirement is calculated on the basis of a compound distribution of insurance portfolio aggregate claim amount, resulting from combining separately modelled claim frequency and severity distributions, with prior verification of earned technical premium sufficiency. The practical application of the model is illustrated by a case study of a specific non-life insurance company in Serbia. The research findings show that the dynamic model of premium risk measurement results in larger capital requirement and contributes to a more reliable assessment of insurers’ solvency than the static model. This proves the inadequacy of the existing fixed ratio model and stresses the need for changes in the current methodology of determining the solvency of insurance companies in Serbia.

Suggested Citation

  • Jelena Kočović & Marija Koprivica, 2018. "Internal Model For Measuring Premium Risk In Determining Solvency Of Non-Life Insurers," Economic Annals, Faculty of Economics and Business, University of Belgrade, vol. 63(217), pages 99-128, April – J.
  • Handle: RePEc:beo:journl:v:63:y:2018:i:217:p:99-128
    as

    Download full text from publisher

    File URL: http://www.ekof.bg.ac.rs/wp-content/uploads/2014/04/532.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Bermúdez, Lluís & Ferri, Antoni & Guillén, Montserrat, 2013. "A Correlation Sensitivity Analysis Of Non-Life Underwriting Risk In Solvency Capital Requirement Estimation," ASTIN Bulletin, Cambridge University Press, vol. 43(1), pages 21-37, January.
    2. de Wit, G. W. & Kastelijn, W. M., 1980. "The Solvency Margin in Non-Life Insurance Companies," ASTIN Bulletin, Cambridge University Press, vol. 11(2), pages 136-144, December.
    3. Philippe Trainar, 2006. "The Challenge of Solvency Reform for European Insurers," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 31(1), pages 169-185, January.
    4. Dutang, Christophe & Goulet, Vincent & Pigeon, Mathieu, 2008. "actuar: An R Package for Actuarial Science," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 25(i07).
    5. David F. Babbel & Anthony M. Santomero, 1997. "Risk Management by Insurers: An Analysis of the Process," Center for Financial Institutions Working Papers 96-16, Wharton School Center for Financial Institutions, University of Pennsylvania.
    6. Rob Kaas & Marc Goovaerts & Jan Dhaene & Michel Denuit, 2008. "Modern Actuarial Risk Theory," Springer Books, Springer, edition 2, number 978-3-540-70998-5, December.
    7. Vincent Goulet & Christophe Dutang & Mathieu Pigeon, 2008. "actuar : An R Package for Actuarial Science," Post-Print hal-01616144, HAL.
    8. René Doff, 2008. "A Critical Analysis of the Solvency II Proposals," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 33(2), pages 193-206, April.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hassan Mazengera, 2017. "Revenue-based lending for SMEs," International Journal of Financial Engineering (IJFE), World Scientific Publishing Co. Pte. Ltd., vol. 4(02n03), pages 1-20, June.
    2. repec:jss:jstsof:35:i10 is not listed on IDEAS
    3. Avanzi, Benjamin & Taylor, Greg & Wang, Melantha & Wong, Bernard, 2021. "SynthETIC: An individual insurance claim simulator with feature control," Insurance: Mathematics and Economics, Elsevier, vol. 100(C), pages 296-308.
    4. Anna Castañer & M.Mercè Claramunt & Maite Mármol, 2014. "Some optimization and decision problems in proportional reinsurance," UB School of Economics Working Papers 2014/310, University of Barcelona School of Economics.
    5. K. G. Reddy & M. G. M. Khan, 2020. "stratifyR: An R Package for optimal stratification and sample allocation for univariate populations," Australian & New Zealand Journal of Statistics, Australian Statistical Publishing Association Inc., vol. 62(3), pages 383-405, September.
    6. Michel Denuit & Christian Y. Robert, 2024. "Conditional Mean Risk Sharing of Independent Discrete Losses in Large Pools," Methodology and Computing in Applied Probability, Springer, vol. 26(4), pages 1-22, December.
    7. Denuit, Michel, 2019. "Size-biased transform and conditional mean risk sharing, with application to P2P insurance and tontines," LIDAM Discussion Papers ISBA 2019010, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    8. Michael Grabchak, 2022. "Discrete Tempered Stable Distributions," Methodology and Computing in Applied Probability, Springer, vol. 24(3), pages 1877-1890, September.
    9. Jian Wang & Cielito C. Reyes-Gibby & Sanjay Shete, 2021. "An Approach to Analyze Longitudinal Zero-Inflated Microbiome Count Data Using Two-Stage Mixed Effects Models," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 13(2), pages 267-290, July.
    10. Denuit, Michel, 2019. "Investing in your own and peers' risks: The simple analytics of p2p insurance," LIDAM Discussion Papers ISBA 2019028, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    11. Ekaterina Bulinskaya & Boris Shigida, 2021. "Discrete-Time Model of Company Capital Dynamics with Investment of a Certain Part of Surplus in a Non-Risky Asset for a Fixed Period," Methodology and Computing in Applied Probability, Springer, vol. 23(1), pages 103-121, March.
    12. Adele H. Marshall & Mariangela Zenga, 2012. "Experimenting with the Coxian Phase-Type Distribution to Uncover Suitable Fits," Methodology and Computing in Applied Probability, Springer, vol. 14(1), pages 71-86, March.
    13. Ozkok, Erengul & Streftaris, George & Waters, Howard R. & Wilkie, A. David, 2012. "Bayesian modelling of the time delay between diagnosis and settlement for Critical Illness Insurance using a Burr generalised-linear-type model," Insurance: Mathematics and Economics, Elsevier, vol. 50(2), pages 266-279.
    14. Abu Bakar, S.A. & Hamzah, N.A. & Maghsoudi, M. & Nadarajah, S., 2015. "Modeling loss data using composite models," Insurance: Mathematics and Economics, Elsevier, vol. 61(C), pages 146-154.
    15. Nora Gavira-Durón & Daniel Mayorga-Serna & Alberto Bagatella-Osorio, 2022. "The financial impact of the implementation of Solvency II on the Mexican insurance sector," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 47(2), pages 349-374, April.
    16. Emanuele Taufer & Flavio Santi & Pier Luigi Novi Inverardi & Giuseppe Espa & Maria Michela Dickson, 2020. "Extreme Value Index Estimation by Means of an Inequality Curve," Mathematics, MDPI, vol. 8(10), pages 1-17, October.
    17. Georgios Deligiannakis & Alexandros Zimbidis & Ioannis Papanikolaou, 2023. "Earthquake loss and Solvency Capital Requirement calculation using a fault-specific catastrophe model," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 48(4), pages 821-846, October.
    18. Kobus, Paweł, 2013. "Modelling joint distribution of crop plant yields and prices with use of a copula function," Problems of World Agriculture / Problemy Rolnictwa Światowego, Warsaw University of Life Sciences, vol. 13(28), pages 1-10, December.
    19. Alexandru Amărioarei & Frankie Spencer & Gefry Barad & Ana-Maria Gheorghe & Corina Iţcuş & Iris Tuşa & Ana-Maria Prelipcean & Andrei Păun & Mihaela Păun & Alfonso Rodriguez-Paton & Romică Trandafir & , 2021. "DNA-Guided Assembly for Fibril Proteins," Mathematics, MDPI, vol. 9(4), pages 1-17, February.
    20. Devolder, Pierre, 2019. "Une alternative a la pension a points : le compte individuel pension en euros," LIDAM Discussion Papers ISBA 2019011, Université catholique de Louvain, Institute of Statistics, Biostatistics and Actuarial Sciences (ISBA).
    21. Zhi Chen & Melvyn Sim & Huan Xu, 2019. "Distributionally Robust Optimization with Infinitely Constrained Ambiguity Sets," Operations Research, INFORMS, vol. 67(5), pages 1328-1344, September.

    More about this item

    Keywords

    non-life insurance; premium risk; solvency margin; internal model; Solvency II;
    All these keywords.

    JEL classification:

    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • K23 - Law and Economics - - Regulation and Business Law - - - Regulated Industries and Administrative Law

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:beo:journl:v:63:y:2018:i:217:p:99-128. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Goran Petrić (email available below). General contact details of provider: https://edirc.repec.org/data/efbeoyu.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.