Description: Presented at August 2011 46th Actuarial Research Conference. This paper focuses on mainly focus on the case in which the risk variable follows a distribution function from a max-domain of attraction.

Description: This paper considers the distribution of aggregate claims of an insurer. The general form of the distribution is considered initially, and, after a few mild restrictions are imposed, it is characterized as being a compound distribution. Followed by one submitted discussion paper.

Description: It is the purpose of this paper to outline the reasoning behind the Catastrophic Accident Hazard and some of the details of a reinsurance arrangement with Lloyds of London for managing this risk. Paper is followed by 2 discussion papers

Description: This is an Excel workbook that can be used as a tool for health insurance companies to model their potential risk exposure from an influenza pandemic. It is based on a model developed for a Society of Actuaries study examining the potential implications of a pandemic on the U.S. health insurance industry. The spreadsheet is saved with many of the same assumptions used in this research and reproduces the results of the exhibits contained in the June 2010 report, 'Potential Impact of Pandemic Influenza on the U.S. Health Insurance Industry.'

Description: This paper studies the statistical theory underlying minimum surplus required to protect a group insurer from the insurance, or C2, risk. Followed by 2 submitted discussion papers

Description: Sometimes, rare things happen and the least expected occurs. Indeed, some events occur once or twice in a lifetime leaving little room to learn from experiences. In financial markets, extreme events, no matter how rare, could have a profound impact on a company or even the whole country. Insurers are also not free from the impact of catastrophic large-scale extreme events. As a result, with pervasive economic and financial revolutions sweeping our world and potential devastative catastrophes, the increasing interest in tail risk management is fuelled by practical issues, including investment downside risk and insurance catastrophe risk. Thus, developing statistical techniques to model extreme investment and insurance losses is certainly a major task for risk managers. the purpose of our paper is to apply moment methods to estimate the joint events such as concurrent extreme investment loss and insurance loss. A novel aspect of this article is that it takes into account the correlation between different assets and insurance lines of business.

Description: This paper employs the theory of real option pricing to address problems in the area of operational risk management. Particularly, it develops a two-stage model to help firms determine the optimal triggers in the event of an influenza pandemic. The first stage proposes a regime-dependent epidemic model to simulate the spread of the virus, depending on whether the firm is active or inactive. The second stage views the reactivation decision as a call option and the suspension decision as a put option, and uses dynamic programming method to determine the optimal switching thresholds.

Description: A study of the effect of random interest rates on life insurance programs and on annuities both certain and non-certain. This is done under several assumptions on the stochastic structure of the interest rates.

Description: Actuaries and other managers of risk identify factors in modeling insurance risks because [i] they feel that these factors may cause the outcome of a risk, or [ii] that the factors can be managed, thus allowing analysts a degree of control over the system risk. The purpose of this paper is to propose a framework for quantifying the relative importance of a source of risk. The intent is that, with a quantitative measure of relative importance, risk managers will be able to sharpen their intuition about the relative importance of risks and be better custodians of financial security systems. This paper proposes a measure of relative importance that has its roots in both the statistics and economics literatures. The measure is intuitively appealing when assessing the effectiveness of basic risk management techniques including risk exchange, pooling and financial risk management. The risk measure is also shown to be useful in multivariate situations where several factors affect a risk simultaneously. The paper illustrates this usefulness by considering a pool of policies that is subject to mortality, the risk of a disaster that is common to all policies, and to a common investment environment.

Description: “Non-traditional” guarantees refer to guarantees that are in addition to traditional mortality, expense, and interest guarantees. Examples of such types of guarantees are death and living benefits on variable annuity contracts and no-lapse guarantees on universal life or variable universal life products. The purpose of this paper is to offer practitioners an overview of the various issues concerning the pricing of these guarantees, the many other issues which need to be analyzed and addressed in the determination of risks and the management of the block of business, and the results of a company survey of practices. This paper is based on the working knowledge of the authors, a broad compilation of literature and the company survey results. At the end of most sections of the paper, we have provided a list of resources which we have selected as some of the best sources available for those practitioners interested in researching the subject matter further.