Description: Automobile insurers classify the risks that they underwrite in order to subdivide the portfolio into classes of risks with similar profiles. While some insurers may have sufficient historical data, several others may not have significant volume of experience data in order to produce reliable claims predictions to help enhance their risk classification systems. A database containing a pooled experience of several insurers thereby helps to produce a more fair, reliable, and equitable premium structure for all risks concerned. This paper uses multilevel models to analyze the data on claim counts provided by the General Insurance Association of Singapore, an organization consisting of most of the general insurers in Singapore. The multilevel nature of the data is due to the following: a certain vehicle is observed over a period of years and is insured by a particular insurance company under a certain 'fleet' policy. The authors show how intercompany data lead to a priori premiums and a posteriori corrections to these initial premiums. Specific focus is made in understanding the intercompany effects using various count distribution models [Poisson, negative binomial, zero–inflated and hurdle Poisson]. The performance of these various models is compared the authors also investigate how to use the historical claims of a company, fleet and/or vehicle in order to correct for the premium initially set.

Description: Recent articles addressed the subject of fuzzy regression [FR] and the term structure of interest rates [TSIR]. Their approach relied on possibilistic regression. Although possibilistic regression has been used in many applications, it has a number of limitations, not the least of which is its nebulous relation to the least-squares concept. As an alternative to possibilistic regression, this paper uses fuzzy least square regression to investigate the TSIR.

Description: In this discussion, the panel recalls all of the considerations in the design of the SOFASIM Society OF Actuaries SIMulator. It was obvious from the first model of the life insurance company SOFASIM, as it was named must have an actuarial side as well as an investment side. GAAP and tax aspects of the model are also discussed.

Description: 1997 Valuation Actuary Symposium, Session 21 looks at advanced topics in annuity modeling.

Description: This session at the 1998 Valuation Actuary Symposium discusses the modeling of equity-indexed annuities including the assets and derivatives associated with the annuities.

Description: U.K. life insurers writing participating business are required by the Financial Services Authority to value their assets and liabilities on a market-consistent basis. The purpose of this paper is to: • Explain the valuation approach based on market-consistent values and its rationale. • Set out the issues faced by life insurers in implementing the regime. • Explain how insurers addressed these issues. • Explain the importance of the modeling techniques they used.

Description: Six methods are presented for calculating the probability of ultimate ruin where the waiting times between claims are independent and identically distributed. Three of the six use Monte Carlo techniques. From Actuarial Research Clearing House 1993, VOL. 1

Description: This session 5TS of the 2004 Valuation Actuary Symposium covers the need to model assets in insurance companies has gone well beyond compliance with cash-flow testing requirements. Robust asset modeling techniques are needed in order to quantify risk exposures appropriately and to comply with a widening array of liability valuation and capital adequacy calculations that rely on stochastically modeling the interaction of liabilities and the assets that support them.

Description: This paper develops a formal framework to model the behavior of individual and small group health insurance policies in a competitive market. In this framework, anti-selective lapse is not assumed, but arises as a result of rational consumers seeking the best value in a competitive market where the premium rates are restricted by law. The authors obtain a model that addresses a number of fundamental questions which have not been fully answered previously, including the effect of price-induced anti-selective lapse on the mix of insureds in a block and the optimal renewal price to maximize the aggregate profit of a block.

Description: The theme of this paper relates to solving portfolio selection problems using linear programming. The authors extend the linear optimization framework for Conditional Value-at-Risk-based portfolio selection problems to optimization over a more general class of risk measure known as the class of Coherent Distortion Risk Measure. From Actuarial Research Clearing House, 2012 Vol. 1.