Description: This paper addresses the allocation of solvency capital in multi- line financial businesses. Although this paper is uniformly applicable to financial enterprises of all types, the terminology in the paper is mainly that of insurance. The TailVaR risk measure is extended in a natural way to allocating capital to each of the business units. This method of allocation allocates capital in a way that is invariant over the method of decomposing the enterprise into business units. Analytic results are derived in the case of multivariate Normal risks. The key result of this paper is that the TailVaR-based proportional allocation of total required capital is identical to that based on mean-variance considerations analogous to the CAPM in the case of the multivariate Normaldistribution.

Description: This paper expands upon current capital analysis by introducing a practical approach that considers the objectives of all stakeholders on an insurance company in setting appropriate capital targets. From 2006 Enterprise Risk Management Symposium, M-AS06-1.

Description: The direct and indirect effects of the pandemic have impacted many actuaries’ work since the spring of 2020. This article addresses three considerations actuaries should account for when using risk evaluation models which are focused on projecting remote, highly unlikely losses: model effectiveness, asset risk, and insurance (mortality and mortality) risk.

Description: This article discusses the whys and hows of managing risk and capital at the enterprise level.

Description: The purpose of this paper is to build a bridge between the traditional methods of looking at financial risk and insurance risk. The paper starts by explaining the concepts behind VaR models of economic capital used in banking. Differences between actuarial and financial views of risk are reviewed and explained. The paper concludes with proposing, developing, and parameterizing a true VaR model of insurance loss reserve risk, which combines several lines of business. From 2006 Enterprise Risk Management Symposium, M-AS06-1.

Description: This paper presents the theory of immunization of investments to changes in interest rates and provides an extensive series of examples and formulas used in its implementation. Also presents some implications for investment behavior, product development, interest assumptions, valuation and adjusted earnings. Discussions of this paper are included.

Description: Risk management techniques such as stress testing and setting capital targets are fairly well established for life insurers; however, the implementation of these techniques can vary considerably. A fundamental question is how to manage multiple valuation perspectives, and the list of possibilities keeps growing. Companies can potentially consider some or all of the following: U.S. reporting measures (Stat, GAAP), internal measures (EV, VNB, economic capital), international reporting measures (IFRS), rating agency models or other developing standards (ICS, NAIC group capital). This session will begin with a quick overview of the defining characteristics of different valuation frameworks. We will then provide more focused and practical considerations for managing risk and capital under different frameworks, using specific examples to highlight key trade offs.

Description: In recent years a lot of time has been spent discussing a variety of different ways to measure the performance of an insurance company. One of the dominating concepts in the discussion of this has been 'Economic Capital' and with this the question of allocation of the [Economic] Capital with the intention of introducing a risk related measure of performance. In this paper, the authors view the performance measuring as a question of determining the appropriate distribution of a risk loading for participants in a risk pool having the overall risk priced by an actuarial premium principle. They show that the covariance principle can be found as the optimal solution to this risk sharing problem and show that the covariance principle fulfills some reasonable requirements. They furthermore suggest how the covariance principle can be at the basis of a target setting procedure for a multi-line insurance company.

Description: Presented at October 1996 Annual Meeting. This session presents and discusses the NAIC's model bill for risk-based capital as it relates to health insurance.

Description: Summary of recent surveys to life actuaries regarding assumptions surrounding policyholder behavior in the tail for universal life with secondary guarantees and minimum guarantees on variable annuities. This information is intended to examine and ultimately give guidance to actuaries on how to set policyholder assumptions in extreme scenarios.