Description: This article pertains to the optimal asset allocation of surplus from an insurance company model. The insurance company is represented by a compound Poisson risk process which is perturbed by diffusion and has investments. The investments are in both risky and risk-free types of assets similar to stocks/real estate and bonds. The insurance company can borrow at a constant interest rate in the event of a negative surplus. Numerical analysis appears to show that an optimal asset allocation range can be estimated for certain parameters and compared with insurance data. Using a conservative method to minimize the probability of ruin, a reasonable optimal asset allocation range for a typical insurance company is about 4.5 to 8.2 percent invested in risky stock/real estate assets. An inequality and the exact solution are obtained for the pure diffusion equation. In addition, the asymptotic form of the ruin probability is shown to be a power function.

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: This paper uses contingent claims analysis to evaluate portfolios of vulnerable private loan guarantees and investigate their risk diversification properties.

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: For several years there has been discussion in the insurance industry of the need for additional capital sources to participate in insuring the financial risk posed by natural catastrophes. A number of methods for accessing the capital markets have been introduced and some insurers are using these to hedge exposure to catastrophe loss. This paper summarizes some of the discussion and describes some of the methods proposed. It then focuses on one of these methods, the use of catastrophe insurance options. Results of simulations are given which may serve as a guide to insurers interested in using these options as part of their risk management strategy and also as an indication to investors of the value of these instruments as a new component of an investment portfolio.

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: This paper explores the principles upon which experience-rated group insurance currently is based and discusses the question of whether or not these principles are sound. Followed by discussion papers submitted by several authors

Description: Paper discussing issues pertaining to setting and managing issue limits and reinsurance retention limits for life insurance.

Description: The Committee on Finance Research makes available a research report exploring the mechanics and implementation of economic capital programs for life insurance companies. Discussion items include common methods for calculating economic capital advantages and disadvantages of each method.

Description: This paper presents a method of testing second-order stochastic dominance of risks. This methodology allows risks to be partially ordered by value with available data - requiring only that the risks have yields distributed as one of the location-scale family of distributions and that the actuary can specify that family.