Description: Mortality trend risk affects pension plans, life insurers, annuity writers and insurers of workers’ compensation, where the tail claims are mostly annuities. As with many risk sources, mortality risk can be broken down into process risk, parameter risk and model risk. In this paper, process risk, parameter risk and model risk are discussed using the fitted models. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: This paper presents a methodology of pricing the guaranteed minimum death benefit of a variable annuity in a market model with jumps. Recent developments in the stock market make variable annuities very attractive products from the insured point of view, but less attractive for insurers. The insured still has the possibility of investment benefits, while avoiding the risk of a stock market collapse. The insurer wants to minimize its risk and yet sell a competitive product. The financial market model consists of one riskless asset and one risky asset whose price jumps in proportions J at some random times T which correspond to the jump times of a Poisson process. The model describes incomplete markets and there is no perfect hedging. In the second part of the paper, we describe a possible method of risk analysis for binomial tree models.

Description: In a stochastic world consideration of only a few deterministic scenarios can potentially be dangerous. The aim of the present research is to study the computation of the cost of mismatch using stochastic interest rate models instead of scenario testing. In this paper, two commonly used Stochastic interest rate models are considered: the one introduced by Vasicek 1977 and the one proposed by Cox, Ingersoll and Ross 1985.

Description: This paper recommends the practical application of new portfolio risk/return measurements to achieved and back tested stock portfolio performance. This new risk measurement process addresses the issue of infinite variances empirically observed in most stock return distributions. From 2007 Enterprise Risk Management Symposium, M-AS07-1.

Description: In response to the risks of embezzlement and branch mis-behavior, this paper describes an operational risk management framework for local Chinese securities companies and a set of tools to manage their branches. From 2007 Enterprise Risk Management Symposium, M-AS07-1.

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: This paper investigates the interaction between a credit portfolio and another risk type, which can be thought of as market risk. We analytically calculate their inter-risk correlation and show how inter-risk correlation bounds can be derived.

Description: As a life reinsurer, understanding mortality risk is mission critical. Superior models of mortality risk lead to more competitive pricing in profitable market segments and more efficient use of capital. Surprisingly, modern statistical tools such as predictive modeling have not previously been used to model mortality data to gain this edge. In this paper, we present the use of a predictive modeling technique called projection pursuit regression PPR to model mortality data. We first describe the process of creating a PPR model using inter-company mortality data collected by the Individual Life Experience Committee of the Society of Actuaries, and present the resulting model. We then discuss the process of using this model as a starting point for creating a more detailed PPR model of internal company mortality data.

Description: Actuaries have traditionally recognized the links between risk and value, and in recent years have begun to incorporate aspects of modern financial economic theory into their traditional valuation and risk management approaches. As a result, there has been an increasing trend in the incorporation of explicit market-based risk adjustments into valuations, whether for internal or external purposes. The use of market-based metrics to reflect risk in valuations is becoming increasingly widespread—in fact, major external standard setters, including FASB, IASB, CFO Forum and the various parties setting standards for Solvency II, have prescribed varying levels of use of market-based metrics to measure risk in valuations. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

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.