Enhancements to the Shane-Morelli Method to Provide Technical Guidance in Implementation and Proposed Solutions for Challenges Encountered in the Application to a Workers Compensation Tail

Abstract
Motivation Application of the Shane-Morelli method in practice for multiple reserve reviews revealed potential areas of refinement.

Method A theoretical examination of curves best used to develop workers’ compensation tail factors resulted in a proposed enhancement to this part of the original methodology. Further, a melding of theoretical and practical considerations gave rise to an approach for gradual introduction of mortality to the curve for determination of a more realistic tail. Finally, the determination of a process for updating the proposed model was developed for use by a practicing actuary.

Results The paper presents a new curve for tail fits, the gradual introduction of mortality into the tail calculation and a process for regularly updating the model.

Conclusions The updated approach provides an enhanced way of incorporating mortality into traditional aggregate reserving methods in a manner that can be readily explained to business partners.

Keywords Workers’ Compensation; Reserving Methods; Tail; Mortality; Gamma Curve; Shane-Morelli

Volume
Winter, 2019
Page
1-24
Year
2019
Categories
Actuarial Applications and Methodologies
Reserving
Reserving Methods
Financial and Statistical Methods
Risk Measures
Tail-Value-at-Risk (TVAR);
Business Areas
Workers Compensation
Publications
Casualty Actuarial Society E-Forum