Description: The two-parameter Pareto distribution is a commonly used model in reliability and risk modeling. Minimum variance unbiased estimates of the parameters of Pareto distribution are not known. In this paper, we propose and investigate a method of estimation of the parameters of the Pareto distribution. This method is based on minimization of the Kolmogorov-Smirnov distance between the empirical cumulative distribution function [cdf] and the cdf of the Pareto distribution.

Description: In recent years, insurance companies have been introducing saving products whose returns are linked to equity market performance. Equity-indexed annuities [EIA's] are one of the products of this kind. This paper is a study on the recent introduction and popularity growth of equity-indexed annuities. An index is considered which provides a minimum interest guarantee and a participation in the increase in an index.

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: 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 focuses on the role of holism in enterprise risk management ERM. The performance measure known as market consistent embedded value is discounted for being overly reductionistic. The concept of an economic capital charge or credit is seen here as a potential bridge from the reductionistic to the holistic approach. It shows some promise for achieving holism, but falls short.

Description: Management's goal is to continuously optimize the economic value of the firm, subject to regulatory constraints, with the use of financial valuation of the firm’s balance sheet. Both the assets and liabilities can be perceived as derivative securities. This chapter discusses a variety of financial economics issues with this common theme. From Asset-Liability Integration, M-FI02-1.

Description: The investment risk generated by a stochastic interest rate is recognized as often the greatest risk associated with a whole life or retirement policy. Recent research has investigated the mathematics of this risk when the interest rate follows a stochastic process and the time to death is considered to be random. In this paper we focus on the use of the zero coupon bond as an investment instrument to fund a whole life policy. It is unlikely that a company will entirely fund a particular single policy with a zero coupon bond.

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: In this expository paper several comments are made with respect to the statistical independence of the curtate future lifetime and the fractional part of the future lifetime, both of a general status. In particular, the conditions for independence need to be stated carefully. The last-survivor status is cited as an example. More general assumptions than the uniform distribution of deaths assumption are then considered, together with applications to insurances, annuities, and reserves. Similar results to those under the uniform distribution of deaths assumption are obtained. Brief comments are made with respect to contingent probabilities in multiple lives and multiple decrement theory.