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Assessing inflation risk in non-life insurance

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  • Bohnert, Alexander
  • Gatzert, Nadine
  • Kolb, Andreas

Abstract

Inflation risk is of high relevance in non-life insurers’ long-tail business and can have a major impact on claims reserving. In this paper, we empirically study claims inflation with focus on automobile liability insurance based on a data set provided by a large German non-life insurance company. The aim is to obtain empirical insight regarding the drivers of claims inflation risk and its impact on reserving. Toward this end, we use stepwise multiple regression analysis to identify relevant drivers based on economic indices related to health costs and consumer prices, amongst others. We further study the impact of (implicitly and explicitly) predicting calendar year inflation effects on claims reserves using stochastic inflation models. Our results show that drivers for claims inflation can considerably vary for different lines of business and emphasize the importance of explicitly dealing with (stochastic) claims inflation when calculating reserves.

Suggested Citation

  • Bohnert, Alexander & Gatzert, Nadine & Kolb, Andreas, 2016. "Assessing inflation risk in non-life insurance," Insurance: Mathematics and Economics, Elsevier, vol. 66(C), pages 86-96.
    • Handle: RePEc:eee:insuma:v:66:y:2016:i:c:p:86-96
    DOI: 10.1016/j.insmatheco.2015.11.003
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    References listed on IDEAS

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    1. Piet de Jong, 2006. "Forecasting Runoff Triangles," North American Actuarial Journal, Taylor & Francis Journals, vol. 10(2), pages 28-38.
    2. Cummins, J. David & Griepentrog, Gary L., 1985. "Forecasting automobile insurance paid claim costs using econometric and ARIMA models," International Journal of Forecasting, Elsevier, vol. 1(3), pages 203-215.
    3. J. David Cummins & Sharon Tennyson, 1992. "Controlling Automobile Insurance Costs," Journal of Economic Perspectives, American Economic Association, vol. 6(2), pages 95-115, Spring.
    4. England, Peter & Verrall, Richard, 1999. "Analytic and bootstrap estimates of prediction errors in claims reserving," Insurance: Mathematics and Economics, Elsevier, vol. 25(3), pages 281-293, December.
    5. N. Sopipan & W. Kanjanavajee & P. Sattayatham, 2012. "Forecasting SET50 Index with Multiple Regression based on Principal Component Analysis," Journal of Applied Finance & Banking, SCIENPRESS Ltd, vol. 2(3), pages 1-10.
    6. Porter, R. Burr & Wart, James R. & Ferguson, Donald L., 1973. "Efficient Algorithms for Conducting Stochastic Dominance Tests on Large Numbers of Portfolios," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 8(1), pages 71-81, January.
    7. Fama, Eugene F. & Schwert, G. William, 1977. "Asset returns and inflation," Journal of Financial Economics, Elsevier, vol. 5(2), pages 115-146, November.
    8. Mack, Thomas, 1993. "Distribution-free Calculation of the Standard Error of Chain Ladder Reserve Estimates," ASTIN Bulletin, Cambridge University Press, vol. 23(2), pages 213-225, November.
    9. Chan, Terence, 1998. "Some Applications of Lévy Processes to Stochastic Investment Models for Actuarial Use," ASTIN Bulletin, Cambridge University Press, vol. 28(1), pages 77-93, May.
    10. Björkwall, Susanna & Hössjer, Ola & Ohlsson, Esbjörn, 2010. "Bootstrapping the Separation Method in Claims Reserving," ASTIN Bulletin, Cambridge University Press, vol. 40(2), pages 845-869, November.
    11. Saluz, Annina & Gisler, Alois, 2014. "Best estimate reserves and the claims development results in consecutive calendar years," Annals of Actuarial Science, Cambridge University Press, vol. 8(2), pages 351-373, September.
    12. Vasicek, Oldrich, 1977. "An equilibrium characterization of the term structure," Journal of Financial Economics, Elsevier, vol. 5(2), pages 177-188, November.
    13. Verbeek, H. G., 1972. "An approach to the analysis of claims experience in motor liability excess of loss reinsurance," ASTIN Bulletin, Cambridge University Press, vol. 6(3), pages 195-202, May.
    14. Paolo Falbo & Francesco Paris & Cristian Pelizzari, 2010. "Pricing inflation-linked bonds," Quantitative Finance, Taylor & Francis Journals, vol. 10(3), pages 279-293.
    15. Vasicek, Oldrich Alfonso, 1977. "Abstract: An Equilibrium Characterization of the Term Structure," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(4), pages 627-627, November.
    16. Ronny Aboudi & Dominique Thon, 1994. "Efficient Algorithms for Stochastic Dominance Tests Based on Financial Market Data," Management Science, INFORMS, vol. 40(4), pages 508-515, April.
    17. Cummins, J. David & Powell, Alwyn, 1980. "The Performance of Alternative Models for Forecasting Automobile Insurance Paid Claim Costs," ASTIN Bulletin, Cambridge University Press, vol. 11(2), pages 91-106, December.
    18. Samson, Danny & Thomas, Howard, 1987. "Linear models as aids in insurance decision making: The estimation of automobile insurance claims," Journal of Business Research, Elsevier, vol. 15(3), pages 247-256, June.
    19. Merz, Michael & Wüthrich, Mario V. & Hashorva, Enkelejd, 2013. "Dependence modelling in multivariate claims run-off triangles," Annals of Actuarial Science, Cambridge University Press, vol. 7(1), pages 3-25, March.
    20. Taylor, G. C., 1977. "Separation of Inflation and other Effects from the Distribution of Non-Life Insurance Claim Delays," ASTIN Bulletin, Cambridge University Press, vol. 9(1-2), pages 219-230, January.
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    Cited by:

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    2. Jassem Alokla & Arief Daynes & Paraskevas Pagas & Panagiotis Tzouvanas, 2023. "Solvency determinants: evidence from the Takaful insurance industry," The Geneva Papers on Risk and Insurance - Issues and Practice, Palgrave Macmillan;The Geneva Association, vol. 48(4), pages 847-871, October.
    3. Jean-François Bégin, 2016. "Deflation Risk and Implications for Life Insurers," Risks, MDPI, vol. 4(4), pages 1-36, December.

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    More about this item

    Keywords

    Separation method; Claims inflation; Regression analysis; Simulation; Vasicek;
    All these keywords.

    JEL classification:

    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation
    • G22 - Financial Economics - - Financial Institutions and Services - - - Insurance; Insurance Companies; Actuarial Studies
    • G32 - Financial Economics - - Corporate Finance and Governance - - - Financing Policy; Financial Risk and Risk Management; Capital and Ownership Structure; Value of Firms; Goodwill

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