Description: The author constructed the efficient frontier of new business sales by modeling the embedded value and economic capital against a universe of possible growth rates of the three lines of business in a typical three-year planning horizon. The ERM function can use the efficient frontier of new business to provide a more rigorous analysis of the impact of growth rates on the firm’s overall capital efficiency and value creation, hence forming a feedback loop with the businesses in the planning process to optimize the growth strategy.

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.

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: 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: Risk management and capital budgeting are two critical components of the corporate decision process. They often need to be considered jointly at the corporate level because of their natural interaction through the dependent risk exposures and other synergetic relationships within an intricate corporate structure in a dynamic business environment. . This paper develops an integrated framework that aligns these two important corporate strategies across business divisions to optimize the streamlined enterprise strategic goal in a multi-period setting. The proposed integrated framework can serve as a practical guideline for corporate executives to optimally coordinate capital budgeting and risk management at the enterprise level.

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: 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 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: 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: 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 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: 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.