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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
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    References listed on IDEAS

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    1. 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.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    6. 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.
    7. 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.
    8. 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.
    9. 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.
    10. 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.
    11. 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.
    12. 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.
    13. 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.
    14. 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.
    15. repec:adr:anecst:y:1986:i:1:p:07 is not listed on IDEAS
    16. 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.
    17. 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.
    18. 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.
    19. Mahul, Olivier, 2000. "Optimal insurance design with random initial wealth," Economics Letters, Elsevier, vol. 69(3), pages 353-358, December.
    20. 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.
    21. 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.
    22. Olivier Mahul, 2000. "Optimal insurance design with random initial wealth [Contrat optimal d'assurance en présence de risque]," Post-Print hal-02697833, HAL.
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    2. 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.

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