IDEAS home Printed from https://ideas.repec.org/a/pal/jorsoc/v60y2009i11d10.1057_jors.2009.32.html
   My bibliography  Save this article

A DEA analysis of risk, cost, and revenues in insurance

Author

Listed:
  • M M Segovia-Gonzalez

    (Universidad Pablo de Olavide Sevilla)

  • I Contreras

    (Universidad Pablo de Olavide Sevilla)

  • C Mar-Molinero

    (University of Kent)

Abstract

Insurance companies have to take risk and cost into account when pricing car insurance policies that cover the risk of private use of cars. In this paper we use data from 80 000 car insurance policies in order to assess, once risk and cost have been taken into account, the combinations of risk that generate the highest returns for the company under existing pricing practices. We use data envelopment analysis (DEA) and frame the study within an analysis of experiments context. The results of DEA are interpreted in a multivariate statistical analysis context using factor analysis, and property fitting techniques. The impact of risk factors in the efficiency is explored by means of regression analysis with dummy variables. There are consequences for the pricing policy of the company.

Suggested Citation

  • M M Segovia-Gonzalez & I Contreras & C Mar-Molinero, 2009. "A DEA analysis of risk, cost, and revenues in insurance," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 60(11), pages 1483-1494, November.
  • Handle: RePEc:pal:jorsoc:v:60:y:2009:i:11:d:10.1057_jors.2009.32
    DOI: 10.1057/jors.2009.32
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1057/jors.2009.32
    File Function: Abstract
    Download Restriction: Access to full text is restricted to subscribers.

    File URL: https://libkey.io/10.1057/jors.2009.32?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Kao, Chiang & Hwang, Shiuh-Nan, 2008. "Efficiency decomposition in two-stage data envelopment analysis: An application to non-life insurance companies in Taiwan," European Journal of Operational Research, Elsevier, vol. 185(1), pages 418-429, February.
    2. F. Fecher & D. Kessler & S. Perelman & P. Pestieau, 1993. "Productive performance of the French insurance industry," Journal of Productivity Analysis, Springer, vol. 4(1), pages 77-93, June.
    3. F Pedraja-Chaparro & J Salinas-Jiménez & P Smith, 1999. "On the quality of the data envelopment analysis model," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 50(6), pages 636-644, June.
    4. Dionne, G & Vanasse, C, 1992. "Automobile Insurance Ratemaking in the Presence of Asymmetrical Information," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 7(2), pages 149-165, April-Jun.
    5. Johnson, Eric J & Hershey, John & Meszaros, Jacqueline & Kunreuther, Howard, 1993. "Framing, Probability Distortions, and Insurance Decisions," Journal of Risk and Uncertainty, Springer, vol. 7(1), pages 35-51, August.
    6. Olivier Mahul, 2000. "Optimal insurance design with random initial wealth [Contrat optimal d'assurance en présence de risque]," Post-Print hal-02697833, HAL.
    7. Mayers, David & Smith, Clifford W, Jr, 1983. "The Interdependence of Individual Portfolio Decisions and the Demand for Insurance," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 304-311, April.
    8. Neil A. Doherty & Harris Schlesinger, 1990. "Rational Insurance Purchasing: Consideration of Contract Nonperformance," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 105(1), pages 243-253.
    9. Simar, Leopold & Wilson, Paul W., 2007. "Estimation and inference in two-stage, semi-parametric models of production processes," Journal of Econometrics, Elsevier, vol. 136(1), pages 31-64, January.
    10. Mahul, Olivier, 2000. "Optimal insurance design with random initial wealth," Economics Letters, Elsevier, vol. 69(3), pages 353-358, December.
    11. Donald J. Meyer & Jack Meyer, 1998. "Changes in Background Risk and the Demand for Insurance," The Geneva Risk and Insurance Review, Palgrave Macmillan;International Association for the Study of Insurance Economics (The Geneva Association), vol. 23(1), pages 29-40, June.
    12. J. Cummins & Hongmin Zi, 1998. "Comparison of Frontier Efficiency Methods: An Application to the U.S. Life Insurance Industry," Journal of Productivity Analysis, Springer, vol. 10(2), pages 131-152, October.
    13. David Parkin & Bruce Hollingsworth, 1997. "Measuring production efficiency of acute hospitals in Scotland, 1991-94: validity issues in data envelopment analysis," Applied Economics, Taylor & Francis Journals, vol. 29(11), pages 1425-1433.
    14. Tone, Kaoru & Sahoo, Biresh K., 2005. "Evaluating cost efficiency and returns to scale in the Life Insurance Corporation of India using data envelopment analysis," Socio-Economic Planning Sciences, Elsevier, vol. 39(4), pages 261-285, December.
    15. M J Mancebon & C Mar Molinero, 2000. "Performance in primary schools," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 51(7), pages 843-854, July.
    16. Doherty, Neil A & Schlesinger, Harris, 1983. "Optimal Insurance in Incomplete Markets," Journal of Political Economy, University of Chicago Press, vol. 91(6), pages 1045-1054, December.
    17. C Serrano Cinca & C Mar Molinero, 2004. "Selecting DEA specifications and ranking units via PCA," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(5), pages 521-528, May.
    18. Doherty, Neil A & Dionne, Georges, 1993. "Insurance with Undiversifiable Risk: Contract Structure and Organizational Form of Insurance Firms," Journal of Risk and Uncertainty, Springer, vol. 6(2), pages 187-203, April.
    19. Fukuyama, Hirofumi, 1997. "Investigating productive efficiency and productivity changes of Japanese life insurance companies," Pacific-Basin Finance Journal, Elsevier, vol. 5(4), pages 481-509, September.
    20. repec:adr:anecst:y:1986:i:1:p:07 is not listed on IDEAS
    21. Jenkins, Larry & Anderson, Murray, 2003. "A multivariate statistical approach to reducing the number of variables in data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 147(1), pages 51-61, May.
    22. Cotter, Kevin D & Jensen, Gail A, 1989. "Choice of Purchasing Arrangements in Insurance Markets," Journal of Risk and Uncertainty, Springer, vol. 2(4), pages 405-414, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Sagarra, Marti & Mar-Molinero, Cecilio & Agasisti, Tommaso, 2017. "Exploring the efficiency of Mexican universities: Integrating Data Envelopment Analysis and Multidimensional Scaling," Omega, Elsevier, vol. 67(C), pages 123-133.
    2. Kaffash, Sepideh & Azizi, Roza & Huang, Ying & Zhu, Joe, 2020. "A survey of data envelopment analysis applications in the insurance industry 1993–2018," European Journal of Operational Research, Elsevier, vol. 284(3), pages 801-813.

    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. Ramin Gharizadeh Beiragh & Reza Alizadeh & Saeid Shafiei Kaleibari & Fausto Cavallaro & Sarfaraz Hashemkhani Zolfani & Romualdas Bausys & Abbas Mardani, 2020. "An integrated Multi-Criteria Decision Making Model for Sustainability Performance Assessment for Insurance Companies," Sustainability, MDPI, vol. 12(3), pages 1, January.
    2. Huang, Tai-Hsin & Lin, Chung-I & Wu, Ruei-Cian, 2019. "Assessing the marketing and investment efficiency of Taiwan’s life insurance firms under network structures," The Quarterly Review of Economics and Finance, Elsevier, vol. 71(C), pages 132-147.
    3. Henri Loubergé, 1998. "Risk and Insurance Economics 25 Years After," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 23(4), pages 540-567, October.
    4. Kaffash, Sepideh & Azizi, Roza & Huang, Ying & Zhu, Joe, 2020. "A survey of data envelopment analysis applications in the insurance industry 1993–2018," European Journal of Operational Research, Elsevier, vol. 284(3), pages 801-813.
    5. Basri Savitha & Subrato Banerjee & Ankitha Shetty, 2019. "Product diversification versus technical efficiency of conglomerate life microinsurance companies: evidence from India," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 44(3), pages 527-547, July.
    6. Kuan-Chen Chen & Chung-I Lin, 2020. "Studies on the Determinants of Efficiency in Taiwanese Life Insurance Industry - Application of Bootstrapped Truncated Model," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 10(1), pages 1-4.
    7. Barros, Carlos Pestana & Nektarios, Milton & Assaf, A., 2010. "Efficiency in the Greek insurance industry," European Journal of Operational Research, Elsevier, vol. 205(2), pages 431-436, September.
    8. Suvvari Anandarao & S. Raja Sethu Durai & Phanindra Goyari, 2019. "Efficiency Decomposition in two-stage Data Envelopment Analysis: An application to Life Insurance companies in India," Journal of Quantitative Economics, Springer;The Indian Econometric Society (TIES), vol. 17(2), pages 271-285, June.
    9. Dionne, Georges & Harrington, Scott, 2017. "Insurance and Insurance Markets," Working Papers 17-2, HEC Montreal, Canada Research Chair in Risk Management.
    10. Biener, Christian & Eling, Martin & Wirfs, Jan Hendrik, 2016. "The determinants of efficiency and productivity in the Swiss insurance industry," European Journal of Operational Research, Elsevier, vol. 248(2), pages 703-714.
    11. Liu, John S. & Lu, Louis Y.Y. & Lu, Wen-Min, 2016. "Research fronts in data envelopment analysis," Omega, Elsevier, vol. 58(C), pages 33-45.
    12. Biener, Christian & Eling, Martin, 2012. "Organization and efficiency in the international insurance industry: A cross-frontier analysis," European Journal of Operational Research, Elsevier, vol. 221(2), pages 454-468.
    13. Carlos Pestana Barros & Silvestre Dumbo & Peter Wanke, 2014. "Efficiency Determinants and Capacity Issues in Angolan Insurance Companies," South African Journal of Economics, Economic Society of South Africa, vol. 82(3), pages 455-467, September.
    14. Lu, Zhiyi & Meng, Shengwang & Liu, Leping & Han, Ziqi, 2018. "Optimal insurance design under background risk with dependence," Insurance: Mathematics and Economics, Elsevier, vol. 80(C), pages 15-28.
    15. Chakraborty Kalyan & Dutta Anirban & Sengupta Partha Pratim, 2012. "Efficiency and Productivity of Indian Life Insurance Industry," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 7(1), pages 1-28, December.
    16. Sen Subir, 2020. "Analysis of Cost Efficiency of Indian Life Insurers: A comparison of Quantity vs Value based DEA Approach," Asia-Pacific Journal of Risk and Insurance, De Gruyter, vol. 14(1), pages 1-25, January.
    17. Eling, Martin & Luhnen, Michael, 2010. "Efficiency in the international insurance industry: A cross-country comparison," Journal of Banking & Finance, Elsevier, vol. 34(7), pages 1497-1509, July.
    18. M I Gonzalez-Bravo, 2007. "Prior-Ratio-Analysis procedure to improve data envelopment analysis for performance measurement," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(9), pages 1214-1222, September.
    19. J. Cummins & Georges Dionne & Robert Gagné & A. Nouira, 2009. "Efficiency of insurance firms with endogenous risk management and financial intermediation activities," Journal of Productivity Analysis, Springer, vol. 32(2), pages 145-159, October.
    20. Reza Sanei & Farhad Hosseinzadeh lotfi & Mohammad Fallah & Farzad Movahedi Sobhani, 2022. "An Estimation of an Acceptable Efficiency Frontier Having an Optimum Resource Management Approach, with a Combination of the DEA-ANN-GA Technique (A Case Study of Branches of an Insurance Company)," Mathematics, MDPI, vol. 10(23), pages 1-21, November.

    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:pal:jorsoc:v:60:y:2009:i:11:d:10.1057_jors.2009.32. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.palgrave-journals.com/ .

    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.