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: 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: 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: In this paper two theorems concerning the optimality of the perfect-fit and perfect-smoothness graduations are proved. Two examples are presented and some difficulties with regard to computational feasibility are reviewed. A discussion of the paper follows. From Transactions of Society of Actuaries 1978, Vol. 30.

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.

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: This paper investigates how the concepts of asset-liability matching can be used to shape investment strategy. From Transactions of Society of Actuaries 1980, Vol. 32.