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Prediction uncertainties in the Cape Cod reserving method

  • Annina Saluz (a1)

Abstract

The Cape Cod (CC) method was designed by Bühlmann and Straub in order to overcome some shortcomings of the chain ladder (CL) method. Owing to its simplicity and because of the advantages over the CL method, the CC method has become a well-established method in practice. In this paper we consider a distribution-free stochastic model for the CC method. Within this model we give the parameter estimates and we derive estimates for the conditional mean square error of prediction for the CC method. In addition, we derive an estimate for the uncertainty in the claims development result.

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Corresponding author

*Correspondence to: Annina Saluz, Department of Mathematics, RiskLab, ETH Zurich, 8092 Zurich, Switzerland. Tel: +41 44 632 68 30; Fax: +41 44 632 15 23; E-mail: annina.saluz@math.ethz.ch

References

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Alai, D.H., Merz, M. & Wüthrich, M.V. (2010). Prediction uncertainty in the Bornhuetter-Ferguson claims reserving method: revisited. Annals of Actuarial Science, 5(1), 717.
Bornhuetter, R.L. & Ferguson, R.E. (1972). Proceedings of the Casualty Actuarial Society. The actuary and IBNR. Proc. Cas, LIX, 181195.
Bühlmann, H., De Felice, M., Gisler, A., Moriconi, F. & Wüthrich, M.V. (2009). Recursive credibility formula for chain ladder factors and the claims development result. ASTIN Bulletin, 39(1), 275306.
Bühlmann, H. & Straub, E. (1983). Estimation of IBNR Reserves by the Methods Chain Ladder, Cape Cod and Complementary Loss Ratio. International Summer School of the Swiss Association of Actuaries, Leysin, Switzerland.
Dal Moro, E. & Lo, J. (2014). An industry question: the ultimate and one-year reserving uncertainty for different non-life reserving methodologies. ASTIN Bulletin, 44(3), 495499.
England, P.D. & Verrall, R.J. (2002). Stochastic claims reserving in general insurance. British Actuarial Journal, 8(3), 443518.
FINMA (2006). Technisches Dokument zum Swiss Solvency Test, Version 02/10/2006, technical report, Bundesamt für Privatversicherungen, Bern, Switzerland.
Hachemeister, C. & Stanard, J. (1975). IBNR claims count estimation with static lag functions. ASTIN Colloquium, Portimao, Portugal. September 30 – October 3, 1975.
Mack, T. (1991). A simple parametric model for rating automobile insurance or estimating IBNR claims reserves. ASTIN Bulletin, 21(1), 93109.
Mack, T. (1993). Distribution-free calculation of the standard error of chain ladder reserve estimates. ASTIN Bulletin, 23(2), 213225.
Mack, T. (2006). Parameter estimation for Bornhuetter/Ferguson. CAS Forum, (Fall 2006), 141157.
Mack, T. (2008). The prediction error of Bornhuetter/Ferguson. ASTIN Bulletin, 38(1), 87103.
Merz, M. & Wüthrich, M.V. (2008). Modelling the claims development result for solvency purposes. CAS Forum, (Fall 2008), 542568.
Renshaw, A.E. & Verrall, R.J. (1998). A stochastic model for the chain ladder method. British Actuarial Journal, 14, 903923.
Saluz, A., Gisler, A. & Wüthrich, M.V. (2011). Development pattern and prediction error for the stochastic Bornhuetter-Ferguson claims reserving method. ASTIN Bulletin, 41(2), 279313.
Straub, E. (1988). Non-Life Insurance Mathematics. Springer-Verlag, Association of Swiss Actuaries, Zürich.
Taylor, G.C. (2002). Written discussion on the paper “Stochastic claims reserving in general insurance” by P. D. England and R. J. Verrall. British Actuarial Journal, 8(3), 540542.
Wüthrich, M.V. & Merz, M. (2008). Stochastic Claims Reserving Methods in Insurance. Wiley, Chichester.

Keywords

Prediction uncertainties in the Cape Cod reserving method

  • Annina Saluz (a1)

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