Loss Reserving with GLMs: A Case Study

Abstract
This paper provides a case study in the application of generalised linear models (“GLMs”) to loss reserving. The study is motivated by approaching the exercise from the viewpoint of an actuary with a predisposition to the application of the chain ladder (“CL”).

The data set under study is seen to violate the conditions for application of the CL in a number of ways. The difficulties of adjusting the CL to allow for these features of the data are noted (Sections 3).

Regression, and particularly GLM regression, is introduced as a structured and rigorous form of data analysis. This enables the investigation and modelling of a number of complex features of the data responsible for the violation of the CL conditions. These include superimposed inflation and changes in the rules governing the payment of claims (Sections 4 to 7).

The development of the analysis is traced in come detail, as is the production of a range of diagnostics and tests used to compare candidate models and validate the final one.

The benefits of this approach are discussed in Section 8.

Keywords: chain ladder, generalised linear model, GLM, loss reserving, regression, superimposed inflation.

Page
327-392
Year
2004
Keywords
predictive analytics
Categories
Financial and Statistical Methods
Statistical Models and Methods
Generalized Linear Modeling
Financial and Statistical Methods
Statistical Models and Methods
Regression
Actuarial Applications and Methodologies
Reserving
Reserving Methods
Publications
Casualty Actuarial Society Discussion Paper Program
Prizes
Michelbacher Prize
Authors
Grainne McGuire
Greg C Taylor
Documents