Description: There is nothing like a serious financial crisis to see if your risk management process works or not. The depth and breadth of the financial crisis in 2008 identified the strengths and more importantly exposed the weaknesses of the risk management process at Lincoln Financial. Enterprise Risk Management is tasked with understanding all the key risks inside a company and preparing the company to respond to those weaknesses. Lincoln Financial was exposed to multiple stress points as a result of the financial crisis and found themselves with insufficient resources to weather the storm. Ultimately the risk management process at Lincoln Financial was not fully capable of dealing with the depth and scope of the financial stress. Without access to government support it can be argued that Lincoln would not have survived the most profound financial crisis of the modern era. Presented at 2010 Enterprise Risk Management Symposium, Society of Actuaries, April 12-15, 2010.

Description: This paper demonstrates that using a conditional probability approach to analyzing investment data yields investment forecast and stock option pricing models which more closely match actual market data, and it demonstrates the impact that conditional probabilities could have on CAPM beta and risk premia calculations. Reprinted from: Journal of Financial and Economic Practice, Vol. 6 No. 2 Spring 2006.

Description: This paper investigates the use of models of dependent mortality for determining annuity values. We discuss a broad class of parametric models using a bivariate survivorship function called a copula. Using data from a large insurance company to illustrate our methods, we calculate maximum likelihood estimates to calibrate the rnodel.

Description: Paper examines some of the current difficulties faced by defined benefit plans, and poses some solutions. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: Disease management DM is increasingly encountered in health plans and employer groups as a health care intervention targeted to individuals with chronic diseases chronics. The untested assumption is that without DM, the chronic and non-chronic trends are identical. From Financing Chronic Care Monograph, M-HB05-1.

Description: There are three commonly used methods for compiling exposure and death data for use in obtaining crude mortality rates. They are lives, policies and amounts of insurance. This paper investigates the properties of estimators based on lives, amounts and robust alternatives. It is concluded that lives provide the best estimator, even when there is a moderate dependence of mortality rates on amounts of insurance. Presented at the Fourteenth Actuarial Research Conference, lowa City, lowa, September 6, 1979.

Description: This paper proposes guiding principles for a simpler, more effective pension funding system that would better serve plan sponsors, their participants, the regulating agencies, and the general public. The objective of the new system would be to have plan assets funded at termination liability over a reasonable period of time. From The Future of Pension Plan Funding and Disclosure Monograph, M-RS05-1.

Description: This paper discusses some of the models used to quantify risk, note some areas where improvements in standard methods are needed, and in some cases suggest alternative approaches for risks in Property and Casualty Insurance and Life Insurance.

Description: Given a financial transaction we are often interested in the number of internal rates of return [yield rates] and their location. From an actuarial point of view, the fundamental question is to identify those transactions with a single yield rate, or a single rate in some interval such as the positive reals. In this paper we are concerned with this counting problem. We survey various results concerning this problem, and provide a unifying approach together with some new insights.

Description: The paper o ers a simple framework for ranking the common reinsurance struc- tures in practice with the theory of stochastic orders. The basic idea is to slice the space of reinsurance structures into groups by expected loss cost to facilitate the comparisons within the group and between groups. Given the standard risk aversion assumption in economics, a spectrum of reinsurance structures with the same expected loss cost can be compared analytically with one another and sequenced based on their risk coverages under the convex order. The paper then expands the dimension of the comparison to groups of reinsurance structures with di erent expected loss costs, which can be ranked under the increasing convex order and the usual stochastic order. As such, the paper maps out the ordering for the entire space of reinsurance structures and presents it in a ma- trix format for quick reference. The implication of this stochastic ordering to reinsurance pricing is also investigated.