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The Prediction of Non-Life Claim Reserves under Inflation
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Abstract:
The extraction of various reserves is one of the most important measures that guarantee insurance companies’ solvency. Accurate assessment of non-life insurance claim reserves needs to consider the volatility risks of inflation. This paper presents a stochastic model of claim reserves including inflation factor and diagonal effects. By applying this model, we can predict the values of the claim reserves and evaluate predicting risks. Through analyzing actual data and using the bootstrap method, we can compare Bornhuetter-Ferguson method involving diagonal effects with chain ladder method. It is shown that the former is more efficient and robust than the latter.
[1] | Clark, D.R. (2006) Variance and Covariance Due to Inflation. CAS Forum, 61. |
[2] | Rietdorf, N. (2008) The Chain Ladder in a GLM Setup with an Extension That Includes Calender Effects. Doctoral Dissertation, Master Thesis, Department of Mathematics Sciences, University of Copenhagen. |
[3] | Kuang, D., Nielsen, B. and Nielsen, J.P. (2008) Forecasting with the Age-Period-Cohort Model and the Extended Chain Ladder Model. Biometrika, 95, 979-986. http://dx.doi.org/10.1093/biomet/asn026 |
[4] | Kuang, D., Nielsen, B. and Nielsen, J.P. (2008) Identification of the Age-Period-Cohort Model and the Extended Chain Ladder Model. Biometrika, 95, 987-991. http://dx.doi.org/10.1093/biomet/asn038 |
[5] | Jessen, A.H. and Rietdorf, N. (2009) Diagonal Effects in Claims Reserving. Scandinavian Actuarial Journal, 2011, 21-37. http://dx.doi.org/10.1080/03461230903301876 |
[6] | Taylor, G.C. (1977) Separation of Inflation and Other Effects from the Distribution of Non-Life Insurance Claim Delays. ASTIN Bulletin, 9, 219-230. |
[7] | England, P. and Verrall, R. (1999) Analytic and Bootstrap Estimates of Prediction Errors in Claims Reserving. Insurance: Mathematics and Economics, 25, 281-293. http://dx.doi.org/10.1016/s0167-6687(99)00016-5 |