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On the Safety Loading for Chain Ladder Estimates: a Monte Carlo Simulation Study

Published online by Cambridge University Press:  29 August 2014

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Abstract

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A method for analysing the risk of taking a too low reserve level by the use of Chain Ladder method is developed. We give an answer to the question of how much safety loading in terms of the Chain Ladder standard error has to be added to the Chain Ladder reserve in order to reach a specified security level in loss reserving. This is an important question in the framework of integrated risk management of an insurance company. Furthermore we investigate the relative bias of Chain Ladder estimators. We use Monte Carlo simulation technique as well as the collective model of risk theory in each cell of run-off table. We analyse deviation between Chain Ladder reserves and Monte Carlo simulated reserves statistically. Our results document dependency on claim number and claim size distribution types and parameters.

Type
Workshop
Copyright
Copyright © International Actuarial Association 2002

References

Hachemeister, C.A. and Stanard, J.N. (1975) IBNR Claims Count Estimation with Statistic Lag Functions, Paper Presented to the XIIth ASTIN Colloquium, Portimao, Portugal.Google Scholar
Institute of Actuaries (1997) Claims Reserving Manual, Second Edition, London.Google Scholar
Mack, Th. (1991) A simple parametric model for rating automobile insurance or estimating IBNR claims reserves, ASTIN Bulletin 21, 93109.CrossRefGoogle Scholar
Mack, Th. (1993) Distribution – free Calculation of the Standard Error of Chain Ladder Reserves Estimates, ASTIN Bulletin 23, 213225.CrossRefGoogle Scholar
Mack, Th. (1997) Schadenversicherungsmathematik, DGVM Schriftenreihe angewandte Versiche-rungsmathematik Heft 28, Karlsruhe.Google Scholar
Schmidt, K.D. and Wünsche, A. (1998) Chain Ladder, Marginal Sum and Maximum Likelihood Estimation, DGVM-Blätter XXIII, 267277.CrossRefGoogle Scholar
Taylor, G.C. (1986) Claims Reserving in Non-Life Insurance, North-Holland, Amsterdam.Google Scholar
Taylor, G.C. (2000) Loss Reserving, Kluwer Academic Publishers, Boston.CrossRefGoogle Scholar