Description: In this paper, we derive three important longevity Greeks on the basis of an extended version of the Lee-Carter model that incorporates stochastic volatility.

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: This paper demonstrates that extreme value theory (EVT) can be used as a tool to model policyholder behavior in the extreme tail. This paper applies EVT to the study of variable annuity dynamic lapse behavior in the extreme tail. It illustrates a process whereby a company can fully model policyholder behavior, including the extreme tail, with existing data. No judgment about the extremal behavior is necessary.

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: Contemporary ERM has moved from an event-based view of risk to a hierarchical, systems-based approach. In order to operationalize such an approach, a methodology is proposed in this paper that draws on phylogenetic approaches that have been successfully developed for biological evolution. The technique and process provide an insight into the lineage, pace and impact of external conditions on the evolution of risks. They also provide a unique and rational classification of risk in an enterprise that can be used to optimize risk management resources. An example of a fictitious insurance company is used to illustrate the approach. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: The paper argues that Risks Evaluation at its core is a psychological process that can lead to the special type of chaos described in modern Chaos Theory. It will argue that quantification and scientific modeling does not exempt risk assessment from the potential for deep biases. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: A new reason for the inherent instability of the insurance business can be found in the literature of anthropology. The theory of plural rationalities, also known as Cultural Theory of Risk or simply Cultural Theory, posits that the world is populated by people with four fundamentally different attitudes toward risk. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

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: Delinquency rates are closely related to the economic conditions and can be analyzed using measures of economic growth and stability. In an attempt to predict the delinquency rate for the health care equipment financial industry, we investigated the relationship between delinquency rate and key macroeconomic variables for the period from 1998 to 2008. The study reveals that the tightening credit standards and unemployment rate are the key macroeconomic indicators influencing the delinquency rate. The analysis further helps in arriving at a trigger to monitor the delinquency rate based on the macroeconomic indicators, thus enabling proactive portfolio management. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: The aim of this work is the definition of a holistic approach to assess the maturity level of ERM within an organization, following the principles defined by The Committee of Sponsoring Organizations of the Treadway Commission 2004b in the “Enterprise Risk Management—Integrated Framework.”

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: Fraud is often a dynamic and challenging problem in credit card lending business. Supervised modeling/segmentation techniques are commonly used in fraud detection to distinguish risky transactions from non-risky transactions. However, these techniques frequently rely on identifying risky behavior at a global level. In this paper, along with the classical approach, a new technique has been studied to improve the behavioral fraud detection capability. The application of this proposed technique enables us to identify risky behavior at the account level.

Description: The paper focuses on value creation for European health insurance companies through the practical application of integrated ERM frameworks.

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: Property and casualty insurers face risks in many key areas, such as operations, natural catastrophes and underwriting. Among the underwriting risks is the potential financial impact of adverse loss reserves development.This paper illustrates a model of loss reserve risk that will incorporate how risk evolves over time at annual time horizons.

Description: This article sees enterprise risk management as a specific application of knowledge in Order to control deviations from strategic objectives, shareholders’ values and stakeholders’ relationships. Before and after a modeling process it is necessary to find insights into how the application of knowledge management processes can improve the understanding of risk and the implementation of enterprise risk management. The article presents a proposed methodology to contribute to providing a guide for developing risk modeling knowledge and a reduction of knowledge silos, in order to improve the quality and quantity of solutions related to risk inquiries across the organization.

Description: The author will show that risk management is more than combining several processes and methods it is much more a company wide approach that enables an open dealing with chances and risks, requiring a change in culture, governance and decision rules across the whole organizations.

Description: In the copula literature there are many bivariate distribution families but very few higher dimensional ones. Moreover, most of these are difficult to work with. Some of the bivariate families can be extended to more dimensions but in general the construction of distribution functions with more than two variables is a difficult problem. This paper introduces a construction method that is straightforward to implement and can produce multivariate distribution functions of any dimension.

Description: This paper develops credibility using a longitudinal data framework. In a longitudinal data framework, one might encounter data from a cross-section of risk classes towns with a history of insurance claims available for each risk class. For the marginal claims distributions, we use generalized linear models, an extension of linear regression that also encompasses Weibull and Gamma regressions. Copulas are used to model the dependencies over time specifically, this paper is the first to propose using a t-copula in the context of generalized linear models. The t-copula is the copula associated with the multivariate t-distribution like univariate t-distributions, it seems especially suitable for empirical work. Moreover, we show that the t-copula gives rise to easily computable predictive distributions that we use to generate credibility predictors. Like Bayesian methods, our copula credibility prediction methods allow us to provide an entire distribution of predicted claims, not just a point prediction.

Description: This paper represents a brief progress report on research, being sponsored by the Casualty Actuarial Society CAS and the Society of Actuaries SOA, in the area of modeling of economic series. In particular, research is being undertaken to provide a foundation for the actuarial community’s modeling of a variety of economic variables, including interest rates, equity returns, inflation, unemployment rates, and real estate price levels. The specific objectives of this research are to provide a summary of the literature in the area of economic scenario modeling, identify data sources and methodologies in this area useful to the actuarial profession, and produce working software for economic modeling, including appropriate documentation, to be made available to the general actuarial community in order to allow actuaries to use and build upon this research.

Description: This paper examines some new Bayesian models for loss reserving inspired by a consideration of some of the methods and techniques appearing in the traditional chain ladder literature. This includes a possibly order restricted hierarchical Bayesian model for the year over year development factors. The issues of reserve variability and ranges of reasonable reserve estimates are considered. A new Bornhuetter-Ferguson styled Bayesian method of estimate revision is also discussed. These Bayesian models can be implemented using Markov chain Monte Carlo MCMC methods in a variety of programming languages, and can serve as starting points for more advanced models. This paper describes their implementation in WinBUGS a specialized software program for MCMC simulations. Illustrative WinBUGS code is included.

Description: Enterprise risk management ERM is for the measurement and the management of all significant risks of the business holistically irrespective of types and sources. The study offers significant advances in the current debate on the performance of enterprise risk management, in particular, minimizing the existing gap between the academic understanding and practitioners’ experience on the topic.

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: This paper examines the fundamental principles underlying the theory of rate change. The proposed approach shows improved accuracy as compared to current methods, with particular significance for a non-static book of business.

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 paper explores the range of contribution policies allowable under various sets of rules, and then proposes that plan sponsors be allowed to contribute the normal cost as a deductible contribution each year. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: This paper asserts that funding is the natural result of managing liability, and, from there, examines some of the funding liabilities of pension plans. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: This paper examines concepts from both financial economic and actuarial science as applied to defined benefit schemes using a simple discounted cash-flow framework as a reference point. From Current Pension Actuarial Practice in Light of Financial Economics Symposium, M-RS04-1.

Description: This paper takes the position that it is possible to compute annual pension costs without computing liabilities first, or at all, even implicitly. Moreover, such an approach can be shown to have powerful advantages in stochastic financial environments. From Current Pension Actuarial Practice in Light of Financial Economics Symposium, M-RS04-1.

Description: Discussion of Human capital and its implicit asset and liability cash flows how insurance companies could help measure and provide products to help match up the timing of those cash flows. From Asset-Liability Integration, M-FI02-1.

Description: Discussion of the insurance purchase decision for corporations, using an ALM perspective of utilizing insurance to maximize the net present value of cash inflows minus out flows. Also discusses how ALM concepts can be used to value a corporation, using discounted values of cash inflows minus outflows and the risks the corporation faces with respect to the amounts or timing of those cash flows. From Asset-Liability Integration, M-FI02-1.

Description: These are the abstract, outline, graphs and tables of the paper “Conclusions from Michigan Studies of Social Security Financing”. By such studies we mean the papers prepared during the past five years by actuarial students and Cecil Nesbitt, and which have appeared in ARCH. The paper is in three parts: A lengthy Abstract, followed by 17 pages of text, graphs, tables and references. The third part is a 10 page Appendix which gives the proofs of text statements.

Description: Traditional mean-variance method does not take skewness of the random rate of return into consideration. It only considers minimum variance for a given acceptable rate of return, which limited the probability of obtaining higher rate of return. If the skewness of return for the portfolio is incorporated into model of traditional approach, then the resulting non-linear programing model is not computational efficient, which certainly is complicated. On the other hand, possibilistic programming provides more efficient techniques to solve the imprecision nature of rate of return and also preserves the original linear model.

Description: This paper establishes the need for home equity conversion schemes for the elderly. It then provides a review of literature pertinent to reverse mortgages paying particular attention to the different types of reverse mortgages and their associated risks. In an attempt to better quantify the general appreciation risk faced by financial institutions issuing reverse mortgages, ARIMA techniques are employed to model Canadian house prices in both current and real dollar terms.

Description: This is the fourth paper on n-year roll forward reserve financing of public benefit systems, especially Old-Age, Survivors and disability Insurance OASDI, prepared by University of Michigan faculty and students. As the papers have developed, some ideas have been simplified, while others have become more complex. It is concluded that the theoretical model requires further attention. This research can be extended to expand our knowledge of OASDI financing and the applicability of n-year roll forward reserve financing.

Description: This paper, originally published in March 1983 as a study note for exam part 10E, and in 1984 in the Transactions of Society of Actuaries Vol. 34, is designed to be a single reference source for actuaries who want to increase their understanding of a GIC. This educational paper provides knowledge on all aspects of GICs, including their history, and has received significant recognition, including the 1984-85 Annual Prize, and the L. Ronald Hill Memorial Prize in 1985.