Master's thesis
"Claims reserving methods and Non-life premium and reserve risk under Solvency II"
Contents:
Abstract
0 INTRODUCTION
1 SOLVENCY II
1.1 Solvency II
1.2 Valuation in level II implementing measures
1.2.1 Asset and other liabilities
1.2.2 Technical Provisions in Non-life
1.2.2.1 Technical provisions valuation process
1.3 SCR Standard formula
1.3.1 Overall structure of the SCR
1.3.2 SCR Non-life underwriting risk module
1.3.2.1 Non-life premium & reserve risk sub-module
1.3.2.2 Non-life CAT risk sub-module
1.3.3 Undertaking specific parameters
1.3.3.1 Computation of USP for the standard deviation for reserve risk
2 DETERMINISTIC METHODS
2.1 Introduction and notation
2.2 Basic methods
2.3 Chain-ladder with inflation and tail factor method
2.4 Bornhuetter-Ferguson method
3 STOCHASTIC METHODS
3.1 Introduction and Mean Square Error of Prediction
3.2 Mack model i.e. Distribution-free CL model
3.3 Log-normal model for cumulative claims
3.4 Generalized linear models GLM
3.4.1 Introduction to Generalized Linear Models
3.4.2 GLM Over-dispersed Poisson with MLE
3.4.3 GLM Gamma with MLE
3.5 Bootstrap technique
3.5.1 Introduction to Bootstrap
3.5.2 Exponential Distribution Family with Bootstrap
3.5.2.1 GLM Over-dispersed Poisson and Gamma with bootstrap step-by step
4 MERTZ-WUTHRICH MODEL AND PREDICTION ERROR FOR SOLVENCY PURPOSES
4.1 Mertz-Wuthrich model and prediction error for solvency purposes
5 COMPUTATION OF NON-LIFE PREMIUM AND RESERVE RISK SUB-MODULE
5.1 Computation of Best Estimate Liabilities for outstanding claim
5.2 Capital charge for Non-life premium and reserve risk in according to standard formula
5.3 Capital charge for Non-life premium and reserve risk in according to undertaking-specific standard formula
6 CONCLUSION
6.1 Comparison and comments about claim reserving methods
6.2 Comparison between standard formula and undertaking-specific standard formula
Appendix A
Bibliography
Thanks