Description: The conventional way to analyze grouped observations on a single variable is to construct histograms or, sometimes, fit a normal distribution. We extend this latter approach by allowing for transformations to near normality.

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: 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 suggests that Asian financial institution openly exhibit problems and attitudes that in other regions may be buried under the surface. Therefore, becoming familiar with Asian instituions can help risk professionals unearth problems that otherwise might remain hidden in our own territoriies. From 2007 Enterprise Risk Management Symposium, M-AS07-1.

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: This paper takes the position that the U.K. actuarial profession has still not come to a single view on financial economics, and the major divisions that remain continue to hamstring its policy development. From Current Pension Actuarial Practice in Light of Financial Economics Symposium, M-RS04-1.

Description: In this paper, we study a survival regression model known as Cox's proportional Hazards model. We assume that the data available are already grouped and develop a minimum distance estimation procedure that is also applicable when the data are also left or right censored. Asymptotic properties of the estimators are established and the numerical implementation of the method based on an iterated reweighted least squares algorithm is discussed.

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: This paper, in light of inadequate and misdirected ERISA reforms, offers a new direction in defined benefit plan regulation in the area of plan termination insurance, minimum and maximum finding rules, and plan design restrictions. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: Statistical properties of interest, annuity and insurance functions are examined when mortality and interest are treated as having a random component. Several special models of interest rate fluctuation are examined in detail. It is hoped that such theory will be useful in developing fluctuation reserves and premium margins. Presented at the 13th Annual Actuarial Research Conference, Ball State University, August 31st. September lst, 2nd. 1978.