Description: Feature article discussing how insurers have reflected volatility in asset return assumptions when determining capital requirements, but have largely disregarded the impact of mortality volatility on their liability assumptions when performing stochastic analysis.

Description: This paper develops an option pricing model that takes cost of capital concepts as its foundation rather than dynamic replication. The resulting model, called the 'C' measure in this paper, is related to the family of Affine Jump Diffusion models that are well known in the finance literature, so it is fairly easy to understand and implement. We argue that this is a reasonable model to use for estimating equity implied volatilities that are beyond the five- to 10-year horizon that can typically be observed in today‘s capital markets. The paper concludes with a short discussion of how to grade from observable market data to the 'C' measure.

Description: Actuaries and rating agencies increasingly believe that the NAIC's formulaic required capital standard does not adequately address a company's insurance, economic market and credit, reporting and pricing risk structure. Economic capital, based upon a stochastic evaluation of a company's total risk exposures, presents a new approach for accurately gauging a company's exposure to risk. Attendees learn what economic capital is, how it is calculated, what it tells company management about risk exposures and how it can serve as a valuable risk-adjusted measurement tool. From the Record of the Society of Actuaries, Volume 29, No. 1: Washington D.C. Spring Meeting, May 29–30, 2003, Session 24OF.

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: 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: Economic capital models are getting increasingly complex. An alternate copula free approach is presented which uses accounting data and an implicit correlation model to simplify economic capital calculations. Model simplification leads to robust and stable models. A banking case study is used to showcase how the model can be deployed using publicly available accounting data, capital adequacy, leverage ratios and shortfall tools.

Description: This is a presentation from 39th Actuarial Research Conference, 8/5-7/2004, University of Iowa in Iowa City, Iowa. The aim of this paper is to consider economic capital for a multi-line insurer and the fair allocation to lines of business. In addition, this paper also allows for a model with assets, liabilities and insolvency exchange option fairly priced, complete markets and no market frictions.

Description: Calculating the risk adjustment confidence level disclosure required by IFRS 17 if the risk adjustment itself is calculated using a cost of capital approach

Description: The selection of the economic capital calculation approach becomes more of a modeling decision. Now let us pause here and think about the arbitrage-free assumption at the beginning. At any time, there can be only one price on any asset. If the company considers the price calculated above as the fair price for its products, then it must hold true that the same price has to be arrived at if the company uses a real-world pricing approach instead of a risk-neutral approach. This gives us a very good basis to calibrate the appro- priate economic capital.