Description: This is a concluding and encompassing part of our research on the project entitled \Weighted Premium Calculation Principles and Risk Capital Allocations, which has been supported by the Actuarial Education and Research Fund AERF and the Society of Actuaries Committee on Knowledge Extension Research CKER. We explore the concept of weighted distributions and their role in various phenomena occurring in insurance and finance. In particular, we relate weighted distributions to actuarial and economic premium calculation principles, and also to the capital asset pricing model CAPM. Imitating the latter, we propose a weighted insurance pricing model WIPM. Although general in formulation, we show that the WIPM can successfully be evaluated in a variety of situations, which we illustrate with a number of examples.

Description: Economic capital is an embedded part of the banking risk management and regulatory framework. The insurance industry has relied on rating agency and regulatory formulas that have been criticized as overcapitalizing and not appropriately differentiating risk drivers in the capital formulation. The emergence of C-3 Phase I and C-3 Phase II have introduced an economic approach to capital in the insurance industry. This half-day seminar takes a detailed look at the subject of economic capital. From the Record of the Society of Actuaries 2005, Volume 31, No. 1: 2005 New Orleans Life Spring Meeting, May 22-24, 2005, Session 9 Seminar.

Description: This paper is Part 1 of a two-part submission. Part 2, “An Alternative Approach to Capital Allocation,” discusses using risk-replicating techniques that directly calculate the cost of capital. Such techniques can be used as a substitute for capital allocation. This paper expands upon current capital analysis by introducing a practical approach that considers the objectives of all stakeholders of an insurance company in setting appropriate capital targets.

Description: Insurance company financial reporting and performance measurement are going through a significant transformation. Insurers are beginning to look at their business based on what many refer to as the “economic value framework.” Under this framework insurance companies determine the economic value of the capital invested in their business and the economic value of earnings to derive a risk-adjusted return on capital. Standard setters, primarily European insurance regulators through Solvency II and the International Accounting Standards Board through IFRS Phase II, propose adopting many of these concepts for solvency and performance reporting.

Description: Regularization, by means of trading restrictions, is an effective way to obtain sparse replicating portfolios. By including only the most relevant replicating instruments, the resulting portfolio is more efficient computationally, easier to interpret, and better able to approximate the liability on an out-of-sample basis. The instruments selected depend largely on their respective trading costs. This paper evaluates a number of alternative methods for specifying trading costs. We find that trading costs based on simple statistics of the instrument and liability cash flows are an effective choice in practice. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: A number of insurance companies have recently implemented, or are in the process of implementing, economic risk capital. These programs are being implemented because of concerns with the existing regulatory and accounting frameworks and/or companies' desire to have a capital framework which is more consistent with their risk profile. From the Record of the Society of Actuaries, Volume 30, No. 2, Spring Meeting, San Antonio, TX, June 14-15, 2004, Session 47PD.

Description: In recent years, insurers have focused attention on the implementation of economic capital frameworks as part of risk management. Due to the diversity of products in an organization’s portfolio, its overall risk profile is comprised of different risk categories. The general framework used by an organization for economic capital purposes is to determine its exposure to each risk independently, then aggregate them to produce an overall risk profile. This is a study of aggregation techniques in use.

Description: This Specialty Guide is designed to be a source of information for practitioners interested in: learning more about the subject of Economic Capital - definition, uses, tie-in to RBC and calculations - finding out about current market practices in this area, and getting acquainted with available literature on this topic.

Description: The article explores the use of economic capital modeling to deliver value to clients by improving the financial security of many individual lives around the world in a cost-effective way.

Description: In this Chapter we present a novel way for estimating aggregated EC figures based on Bayesian copula estimation. Contrary to the classic approach of using a single inter-risk- correlation matrix we derive a probability distribution of possible correlation matrices that enables us to tackle the important issue of parameter uncertainty. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.