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.

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: An analysis of how to compute the variance of the present value of future annuity payments as a component of assessing the mortality component of the provision for adverse deviation in the computation of GAAP reserves.

Description: This paper is intended to acquaint actuaries with a simple and practical application of the ruin function technique in the determination of the C-2 mortality risk reserve needed for individual life insurance business. Followed by 2 discussion papers submitted

Description: The Joint Risk Management Section is trying to develop better estimates of policyholder behavior in the tail [PBITT]. The mission of the PBITT working group is to examine and ultimately give guidance to actuaries on how to set policyholder assumptions in extreme scenarios. As part of its work, the PBITT working group issued its sixth survey to gather the range of assumptions actuaries use in pricing, reserving, and risk management of minimum guarantees on Variable Annuity products, such as death benefits, income benefits, withdrawal benefits and maturity benefits. This document contains the results of that survey.

Description: This paper presents a model for analyzing the impact of underwriting cycles on an insurer’s surplus. The model allows the insurer to vary its security loading in response to the cycles, with a strategy parameter that indicates the extent to which the insurer follows the loading which prevails in the market. The insurer’s claim rate is also allowed to vary to reflect exposure changes that result from the insurer’s strategy. The paper analyzes ruin probabilities using both simulation and a Lundberg-type upper bound which is developed in the paper. It finds that the latter is suitable and convenient for comparing ruin probabilities under the different insurer strategies.

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: In this paper we give new general criteria for the weak convergence of one-dimensional distributions of generalized risk processes and describe the class of possible limit laws under an infinite growth of stochastic portfolio size and stochastic intensity of insurance payment.

Description: In his original monograph on portfolio selection, Markowitz [1952] discusses the tradeoff between the mean and variance of a portfolio. Since then, especially recently, much attention has been focused on asymmetric distributions to minimize risks with given return goal for investors who have special skewness preferences. To address this issue, this paper extends Krokhmal et al. [2002]’s approach by adding CVaR-like constraints to the traditional portfolio optimization problem. The CVaR optimization technique has the advantage of reshaping either the left or right tail of a distribution while not significantly affecting the other. Specifically, this approach is used to manage the skewness of asset-liability portfolios of financial institutions. In addition, the CVaR-like constraints approach is compared with traditional Markowitz method and some other alternatives such as, the CVaR approach [directly optimize CVaR], the Boyle-Ding approach as well as the mean-absolute deviation [MAD] approach. Numerical analysis provides empirical support for the superiority of CVaR-like constraints approach in terms of skewness improvement of mean-variance portfolios.

Description: In summary, the goal of this report is to foster better industry-wide education, training and practice that decreases the future range and scope of what leading risk management professionals will henceforth label as being unpredictable as events now commonly thought to be so.