Description: This paper introduces a rich stochastic modeling framework for understanding risks in multiple-decrement contracts. The example in the paper is a 20-year Term insurance contract. Not only are mortality and lapsation considered stochastic, but the parameters governing them are. For example, mortality risk is composed of four risk elements, including error generated in the underwriting process, volatility around the best estimate, catastrophic events that impact mortality, and the trend in mortality improvement or deterioration. When stochastically modeled, the relative contribution and risk profile of each risk element can be evaluated. Generating stochastic mortality results provides a distribution of results that an organization faces and the severity and incidence of the tail events.

Description: This articles describes some of the industry issues that new-generation risk modeling technologies can address and the emerging technology of simultion as it applies to risk modeling.

Description: To deal with future correlation crises, the author suggests the implementation of ‘’quanlitative analysts’’ (‘Quanls’) in the enterprise risk management (ERM) process: risk managers who are able to lead interdisciplinary ERM studies from a jointly qualitative and quantitative point of view, with an emphasis on dynamics.

Description: By identifying specific exogenous and insurer specific factors related to life-insurer performance, this study provides a basis for actuaries to build dynamic financial models for individual insurers. The Life Insurers performance measurements are 1. Return on Equity, 2. Return on Assets and 3. Increase in Capital and Surplus. This paper has been submitted to the North American Actuarial Journal for publication considerations. This documents the specific charts embedded in the report. Please see the SOA web site for the detail report.

Description: Part 2 of a six-part series on the evolution of risk management continues with this article on dynamic financial analysis.

Description: This article discusses a simple simulation model that analyzes the implications of using real world assumptions for determining customer behavior when calculating hedge positions to support minimum guarantees for variable annuities. Article from Risk and Rewards, August 2006, Issue No. 8.

Description: Feature article discussing hedging programs becoming a mainstay in the risk management arsenal of life insurers. It focuses on the significant stresses on variable annuity hedging programs.

Description: The series expansion of a probability density function, known to actuaries by Esscher's name and to statisticians as the saddlepoint approximation, typically gets integrated to approximate probability values under the density, with a location parameter in the expansion chosen to optimize convergence of the integrated series. We review the general form, the accuracy and the derivation of the Esscher approximation. Then we propose using related series expansions for the derivative of a probability density function to approximate the value of the point of maximum likelihood for the density. The key is to make the value of the location parameter an unknown and assume it to be the point of maximum likelihood, which leads to a tractable optimization problem to find its value.

Description: The Society of Actuaries seeks to provide actuaries of life insurance companies with a systematic approach for estimating the adverse effects of economic developments that could impede insurer performance. The performance measurements include 1. Return on Equity, 2. Return on Assets, and 3. Increase in Surplus and Capial. Toward that end, this study combines market and economic factors with insurer-specific data to form dynamic financial models of life insurers. Empirical analysis is based on annual data from 1985 through 1995 for 1,593 life insurers. By identifying important exogenous and insurer-specific factors related to life insurer performance, this study provides a basis for actuaries to build dynamic financial models for individual insurers. The study also identifies and describes several web sites that provide access to relevant economic and financial data. Also see the SOA website research page for excel spread sheets that have the charts that should be inserted in this report