Quantification of inflation in the claim reserving process

Authors

  • Agustin Saggese Universidad de Buenos Aires (Argentina), EY (España)

DOI:

https://doi.org/10.26360/2024_04

Keywords:

Reserves, Inflation, Non Life, Claims, Actuarial, Interest

Abstract

The present document focuses on quantifying inflation in the context of the insurance industry, with a focus on the inflation projection in claims. The main objective is to identify and estimate the factors that affect and will affect claims payments, understanding their scope and impact. A methodological approach is used that incorporates a vector of past and future inflation into the model. The data used comes from a portfolio of insurance with high inflation and is reflected in triangles representing paid claims and closed cases with payment for two types of automobile insurance: partial damage and liability for bodily injury.

The text provides a detailed analysis of the data and uses different methodologies to quantify the inflation implicit in claims. Trends in development factors and the increase in the average cost of claims are analyzed. Likewise, assumptions and challenges in estimating inflation are discussed, considering the duration of claims and their relationship with factors such as exchange rates, general inflation, and wage increases.

The document concludes with the presentation of results of estimated variations and their relationship with different economic indices. The importance of identifying social or surplus inflation in the data for future projection is highlighted.

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References

Abbot, W. M. (1986). Actuaries and general insurance. Journal of the institute of actuaries.

Adler, M. y Kline, C. D. Jr. (1998). Evaluating Bodily Injury Liabilities Using a Claims Closure Model. Casualty Actuarial Society Discussion Paper Program.

Ahlgrim, K. C. y D’Arcy, S. P. (2012). The effect of deflation or high inflation on the insurance industry. Casual Actuarial Society.

Berquist, J. R. y Sherman, R. E. (1977). Loss Reserve Adequacy Testing: A Comprehensive, Systematic Approach. Proceedings of the Casualty Actuarial Society.

Bornhuetter, R. L. y Ferguson, R. E. (1972). The Actuary and IBNR. Proceedings of the Casualty Actuarial Society.

Brickman, S. Forster, W. Sheaf, S. (2005). Claims inflation – Uses and abuses. Paper prepared for GIRO 2005.

Carruthers, D. (2022). Inflating and deflating – the real value of money. Actuaries Digital.

Faculty and Institute of Actuaries. (1997). Claims Reserving Manual v.1.

Fisher, W. H. y Lange, J. T. (1973). Loss Reserve Testing: A Report Year Approach”. Proceedings of the Casualty Actuarial Society.

Friedland, J. (2010). Estimating Unpaid Claims Using Basic Techniques. Casualty Actuarial Society.

German Association of Actuaries. (2015). Interest Rates and Inflation in Property/Casualty Insurance. ASTIN, AFIR/ERM and IACA Colloquia.

IMF (2023). World Economic Outlook. Obtenido de https://www.imf.org/en/Publications/WEO/Issues/2023/10/10/world-economic-outlook-october-2023

Lynch, J. y Moore, D. (2022). Social inflation and Loss Development. CAS Research Paper.

Mapfre, S.A. (1990). Manual de introducción al seguro. Fundación Mapfre Estudios. Instituto de Ciencias del Seguro.

Mack, T (1993a). Distribution-free calculation of the standard error of chain ladder reserve estimates. Astin Bulletin.

Mack, T (1993b). Measuring the Variability of Chain Ladder Reserve Estimates. 1993 CAS Prize Paper Competition.

Meilij, R. G. (1998). Manual de Seguros. Delpalma Buenos Aires.

Morrow, M. y Conrad, T. (2010). Practical considerations in assessing the impact of inflation on carried reserves. Casual Actuarial Society.

Pearson, E y Beynon, C. (2007). Superimposed inflation – Australian Accident Compensation Landscape in 2007. Institute of Actuaries of Australia.

Pecora, J. P. y Dobring, E. M. (2023). U.S. inflation eases – insurance inflation catches up and accelerates. WTW Claim Cost Index. Obtenido de https://www.wtwco.com/en-us/insights/2023/10/wtw-claim-cost-index

Taylor, G. (1977). Separation of Inflation and Other Effects from the Distribution of Non-Life Insurance Claims Delays. Astin Bulletin.

Taylor, G. (2000). Loss reserving: an actuarial perspective. Kluwer Academic Publishers, Boston.

Verbeek, H. G. (1972). An Approach to the Analysis of Claims Experience in Motor Liability Excess of Loss Reassurance. Astin Bulletin.

Wellington, E. (2023). A trend model for social inflation in medical professional liability. Ratemaking Call Papers.

Werner, G. y Modlin, C. (2016). Basic Ratemaking, 5th ed. Casualty Actuarial Society.

William, F. R. (1981). Evaluating the impact of inflation on loss reserves.

Wiser, R. F. (2001). Loss Reserving. Chapter 5.

Published

2024-07-31

How to Cite

Saggese, A. (2024). Quantification of inflation in the claim reserving process . Anales Del Instituto De Actuarios Españoles, (30), e04. https://doi.org/10.26360/2024_04

Issue

Section

Research articles