Description: This paper discusses both the theoretical and the application aspects of stress testing in managing enterprise risks. Effective stress testing maximizes the risk adjusted enterprise profit by controlling major risks financial, strategic, operational and hazard upon identifying risk metrics and modeling the correlations. A case study is included for demonstration purposes.

Description: This paper introduces a minor modification to the Wacek framework that restores market consistency and additivity. The modification shifts the basis of the cost-of-capital risk margin embedded in the fair value loss reserve from an insurer’s own solvency capital requirement with respect to its claim obligations as prescribed by Solvency II to the required market-clearing capital implied by those obligations, which depends not only on the internal characteristics of the unpaid claim portfolio but also on its correlation with the total market portfolio of unpaid claims.

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.

Description: This paper demonstrates the use of Quantile Regression in the development and understanding of conditional value at risk (VaR) models for enterprise risk management.

Description: As an alternative to the widely-used 'return on economic capital' RAROC, this paper proposes a performance measure consistent with standard valuation models, and discusses its implications for prudential regulation. From 2007 Enterprise Risk Management Symposium, M-AS07-1.

Description: This monograph was presented at the 2011 Enterprise Risk Management Symposium, held March 14-16 in Chicago. The author, writing from a property-liability insurance perspective, notes that capital allocation is a theoretical exercise because all of a firm’s capital could be depleted to cover a significant loss arising from any one segment. However, firms do need to allocate capital for pricing, risk management and performance evaluation. In this paper, the cost of capital in financial markets is incorporated into the Ruhm-Mango-Kreps algorithm to yield one allocation that reflects the true cost of capital an insurer would face.

Description: Scenario analysis and stress tests based on consideration of shock events and their possible repercussions can provide useful information to management and regulators on a company’s resiliency through a chain of events, as well as support the consideration of a firm’s operations as an integral part of a wider financial system. We discuss how scenario analysis and stress testing can be used to define a company’s risk appetite, which is at the core of a well-embedded ERM framework. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: Abstract: A model for analyzing the probability and severity of default of sovereign entities and banks. The methodology analyzes the risks inherent in the investment of debt of sovereign governments and large financial institutions side-by-side, taking into consideration macroeconomic interactions among the sovereign fiscal and monetary authorities, the financial institutions, and the real economy. The signature aspect of the methodology is that it adapts a Merton-style default model to use explicit measures of sovereign assets and asset volatility.

Description: In this paper, we formulate the Capital Allocation problem as an optimization problem in which we seek the mix of business that maximizes an insurance company’s Expected Net After Tax Income subject to a constraint on the Tail Value at Risk TVAR. Using the method of Lagrange multipliers, we demonstrate that the returns on the respective TVAR contributions, so-called RORAC, are equal across all lines of business when the mix of business is optimal. Although the discussions in this paper center on the TVAR, the conclusions hold true for any conditional expected value measure. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: The Market Cost of Capital approach has emerged as the standard for estimating risk margins for insurers' fair value balance sheets. This paper takes some of the ideas developed for valuing life insurance liabilities and applies them to the problem of valuing credit risky bonds. The basic idea is that credit spreads should cover the cost a) best estimate defaults plus the cost of holding capital for b) contagion risk (e.g. a credit crunch) and c) parameter risk, this risk that the best estimate is wrong and must be revised. We argue that the margins required for parameter risk can capture liquidity issues. In addition, the models developed here allow the cost of capital rate itself to be a random variable which allows credit spreads to open and close stochastically. Finally, the paper argues that it is reasonable to include something like AA best estimate default rates and liquidity spreads when valuing insurance liabilities. The main rationale for doing so is the idea that there are elements of the total credit risk issue that can be hedged between the assets and liabilities.