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: Investment Fallacies: Extended periods of robust macroeconomic growth are healthy for investing.

Description: The disastrous events of September 11, 2001 have focused the reinsurance community’s attention on the subject of managing concentration of risk. A panel of experts discusses: Techniques for limiting exposure, Impact on group and COLI/BOLI insurance and Changes in the catastrophe reinsurance market. From the Record of the Society of Actuaries, Volume 29, No. 1, Washington D.C. Spring Meeting, May 29–30, 2003Session 65PD.

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

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: Investment Fallacies: The Best Model Doesn't Win

Description: Investment Fallacies: Mathematical modeling of social phenomena

Description: Investment Fallacies: On the Validity of Common Portfolio Return Assumptions

Description: Investment Fallacies: Gambler’s Fallacy: Probability of Reversion

Description: All claim reserve systems endeavor to derive estimates of the unpaid portion of claims which have been incurred over a given period of time, making use of information on numbers of claims and amounts paid on claims as of the valuation date. In this paper, a claim reserve system is described. While the system does produce the traditional type of single-point estimates of claim reserves, it also provides the user with frequency distributions of claim reserves