Description: From a session at the 2000 Valuation Actuary Symposium held in Washington DC, September 14-15, 2000 Discussion of newer and more innovative investment structures and the modeling of these securities in cash-flowing testing and asset/liabilities management analysis.

Description: In this paper we study the pricing of financial options and contingent claims. We show that two time-honored concepts in actuarial science - the Esscher transform and the adjustment coefficient - are efficient tools for pricing many options and derivative securities if the logarithms of the prices of the primitive securities are certain stochastic processes with stationary and independent increments. We also study the pricing of American options on two stocks without expiration date and with payoff functions which are homogeneous with respect to the two stock prices.

Description: In this paper,we present a method which first converges a two dimensional data to a univariate one and then uses the interval censoring technique to estimate the probability of failure of a Joint-life status from a heavily censored data. Our study shows that the life annuities of joint-life status calculated assuming independence overestimates the ones evaluated from an actual sample of population.

Description: By the use of resampling and extreme value statistics we will develop a method to reduce the time and costs of testing insurance company insolvency. Most ruin models require assumptions about the surplus distribution and/or assumptions about the claims count and severity distributions. The actuary may not be comfortable in making these ruin assumptions. Instead, he or she may generate such distributions by running extensive computer simulations of corporate models, I introduce a method to reduce the number of simulations necessary' to estimate the 1 and 0.1 percentiles of the surplus distribution. This approach 'cuts off' the tail at approximately the tenth percentile of the sample distribution and generates new tails for the distribution by resampling. Averages of the new order statistics approximate the I and 0.1 percentiles.

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 is an article that discusses the retreat of savings banks from mutuality. As we ponder the future of mutual life insurance, we should be aware of the change sweeping through the mutual savings bank industry.

Description: This article discusses the new Investment Section. The initial targeted areas are expected to be: Modeling, Corporate Finance, Capital Management and Investment Instruments.

Description: Presented at May 1985 Spring Meeting. This session discussed: AICPA activity in purchase accounting, Merger/Acquisition accounting, Assumption reinsurance, Minority interest accounting alternatives, Foreign mergers, acquisitions, and joint ventures accounting, Tax considerations in structuring mergers and acquisitions.

Description: This session discussion is about the actuary should be aware of techniques that are available to compare the expected returns from many different types of investments. Understanding these techniques will assist the actuary in pricing many of today's insurance products as well as measuring their ongoing profitability. From Record of the Society of Actuaries Vol. 15, No. 2.