Description: Applications of Lagrangian distributions to modelling claim frequency data in an insurance portfolio is a relatively new concept. The major difficulty is that the generating functions of these distributions cannot be expressed in terms of elementary functions. Also deriving moments and/or cumulants is somewhat tedious. This article illustrates how to use Maple effectively to overcome these difficulties.

Description: This paper discusses a problem in corporate finance, the problem of selecting from among a group of possible economic projects. This problem most certainly involves future contingent events and is a natural for consideration by actuaries interested in expanding into non-traditional practice areas.

Description: A European call option pricing model similar to the Black-Scholes equation [1] is derived. Like the Black-Scholes equation, the model is based upon an assumption of a lognormal distribution of the price of a risky, non-dividend-paying security at a given point in the future. However, unlike Black-Scholes, the market's risk preference is recognized through a parameter that permits refinement of the model to agree either with experience or with future advances in the underlying theory.

Description: In this note, the asymptotic behavior of the probability of ruin is derived by means of infinitesimal generators and Laplace transforms. Using these same tools, it is shown that the probability of ruin has an algebraic decay rate if the insurance company invests its capital in a risky asset with a price which follows a geometric Brownian motion. The latter result is shown to be valid not only for exponentially distributed claim amounts, as in Frolova et al. 2002, but, more generally, for any claim amount distribution that has a moment generating function defined in a neighborhood of the origin.

Description: This article discusses the global capital standards for Global Systemically Important Insurers (G-SIIs) and Internationally Active Insurance Groups (IAIGs) currently being developed by the International Association of Insurance Supervisors (IAIS).

Description: This article deals with enterprise risk management and how the techniques contained within the discipline can help prevent unforeseen large mistakes in strategy, product design, and product management

Description: This article discusses asset-liability management from two different paradigms, one a simulation of the firm as an external observer e.g. shareholder would view it, and the other a “still life” at a given moment from an internal viewpoint.

Description: This paper discusses a general model for calculating life contingencies including formulation of the model and net reserves and contingency reserves.

Description: Discussion of significant anomalies in option pricing due to the independent identically distributed assumption of the Black Scholes formula.

Description: In this paper, we introduce a political risk variable, d, to measure risk of foreign direct investment FDI. The political risk variable has opposite effects of loss reduction and loss prevention in Ehrlich and Becker 1972. The unique characteristics of political risk insurance make the applications of actuarially-based pricing models infeasible. In this study, by taking into account the effects of self-protection and self-insurance through the variable d and by maximizing utility function, we find the equilibrium for insured and insurer in a competitive market and in a monopoly one. In addition, under the equilibrium status, the boundary for the amount of investment, the insurance coverage, and the minimum required rate of return on the FDI are derived.