Application of actuarial models to predict future outcomes and manage risks - Comprehensive Study on Actuarial Modeling Using Life Tables AM92 –
Abstract
This study investigates the predictive and risk‐management capabilities of actuarial models through a comprehensive analysis of Life Tables AM92. The research addresses the growing need for accurate forecasting of future liabilities in the insurance and pension sectors, where traditional methods often fall short amid evolving demographic and economic landscapes. Employing a robust quantitative framework, the study integrates empirical data analysis, simulation techniques, and sensitivity testing to refine actuarial estimates. In doing so, it leverages both conventional actuarial practices and modern statistical methodologies to enhance the precision of mortality and survival predictions.
Key findings demonstrate that Life Tables AM92 serve as a reliable benchmark for estimating mortality rates, survival probabilities, and the present value of future payouts. The results reveal that incorporating advanced statistical techniques substantially improves model accuracy, thereby providing insurers and policymakers with a more effective tool for financial risk management. These insights underscore the importance of continuous model validation and the adoption of emerging technologies in actuarial practices, paving the way for more sustainable and informed decision-making in the realm of risk management
References
Boudreault, Mathieu ; Renaud, Jean-François. (2019). Actuarial Finance (Derivatives, Quantitative Models and risk management). United States of America: John Wiley & Sons – Inc. doi:10.1002/9781119526438
Brigo, Damiano ; Mercurio, Fabio. (2006). Interest Rate Models - Theory and Practice (éd. Second Edition). New York, United States of America: Springer. doi:10.1007/978-3-540-34604-3
E.Szabo, Fred. (2013). Actuaries’ Survival Guide – How to Succeed in One of the Most Desirable Professions (éd. Second Edition). United States of America: Elsevier Inc. doi:10.1016/B978-0-12-386943-2.00052-8
Finan, Marcel B. (2017). An Introductory Guide in the Construction of Actuarial Models. Arkansas, United States of America: Preliminary Draft.
J0RGENSEN, Bent. (1997). The theory of dispersion models (éd. First edition). London, Great Britain: Chapman & Hall.
Slud, Eric Victor. (2006). Actuarial Mathematics and Life-Table Statistics. London, United Kingdom: Chapman & Hall/CRC.
B.Finan, Marcel. (2017, March 02). An Introductory Guide in the Construction of Actuarial Models. The Fifth of a series of lecture notes.
Bühlmann, Hans. (1967, July). Experience Rating and Credibility. ASTIN Bulletin: The Journal of the International Actuarial Association (IAA), 4(3), pp. 199-207. doi:10.1017/S0515036100008989
Burcă, Ana Maria; Bătrînca, Ghiorghe. (2011). Application of Actuarial Modeling in Insurance Industry. Ovidius University Annals: Economic Sciences Series, XI(2).
Cairns, Andrew J. G. ; Blake, David ; Dowd, Kevin. (2006, December). A Two‐Factor Model for Stochastic Mortality with Parameter Uncertainty: Theory and Calibration. Journal of Risk and Insurance, 73(4), pp. 687-718. doi:10.1111/j.1539-6975.2006.00195.x
Carter, Lawrence R. ; Lee, Ronald Demos. (1992, November ). Modeling and forecasting US sex differentials in mortality. International Journal of Forecasting, 8(3), pp. 393-411. doi:10.1016/0169-2070(92)90055-E
Committee on Professional Responsibility. (2022, December 21). The Roles of the Actuary in the Selection and Application of Actuarial Models. Professionalism Series.
Cox, John C. ; Ingersoll, Jr, Jonathan E. ; Ross, Stephen A. (1985, March). A Theory of the Term Structure of Interest Rates. Econometrica, 53(02), pp. 385-407. doi:10.2307/1911242
Hickman, James. (2006, September 15). History of Actuarial Profession. Encyclopedia of Actuarial Science, 1. doi:10.1002/9780470012505.tah012
Mack, Thomas. (1993, November). Distribution-free Calculation of the Standard Error of Chain Ladder Reserve Estimates. ASTIN Bulletin: The Journal of the International Actuarial Association (IAA), 23(2), pp. 213-225. doi:10.2143/AST.23.2.2005092
Verrall, Richard ; Nielsen, B; Jessen, A.H. (2016). Generalized linear models in insurance. Journal of Risk and Insurance, 83(3), pp. 751-772.
W. Frees, Edward ; Meyers, Glenn ; A. Derrig, Richard. (2014). Predictive Modeling Applications in Actuarial Science - Case Studies in Insurance. International series on actuarial science, 2, 1-10. doi:10.1017/CBO9781139342674.001
Tamplin, True. (2023, July 24). Actuarial Life Table. Récupéré sur finance strategists.