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: Summary of the SOA's Annuity Valuation with Dependent Mortality research report which examines the standard industry practice of assuming independent lives for insurance products that cover multiple lives.

Description: Full version of Pension Section News, March 2000, Issue No. 42.

Description: An article in the Expanding Horizons newsletter, Issue 26, published in April 2003 that discusses the Annual Prize to the author or authors writing the best paper to appear in the North American Actuarial Journal, the leading scientific publication of the Society. It announces the winners of the award, Mary R. Hardy for A Regime–Switching Model of Long-Term Stock Returns,and Phelim P. Boyle, Adam W. Kolkiewicz and Ken Seng Tan, for Valuation of the Reset Options Embedded in Some Equity–Linked Insurance Products.

Description: The purpose of this paper is to understand characteristics of a household that drive life insurance demand with more sophisticated analytical techniques. The analysis is based on the Survey of Consumer Finances data, a probability sample of the U.S. population. Household demand of two types of insurance, term life insurance and whole life insurance, is examined jointly. We model both the frequency and the severity of demand for insurance building on the work of Lin and Grace 2007 by using covariates that they developed.

Description: The projection methods used by the Social Security Administration's Office of the Chief Actuary are important. The resulting projections are cited regularly by policy-makers, academics and others interested in the long-term financial solvency of the OASDI system. However, a complete description of this projection methodology that is vital for serious policy discussions is not available to the general public. This summary was constructed in connection with the Social Security Advisory Board's 1999 Technical Panel on Methods and Assumptions. A goal of the Methods and Modeling working group of the Technical Panel was to 'work to ensure that the projection methods used by the Office of the Chief Actuary become more public.' From Actuarial Research Clearing House 2000, Vol. 1.

Description: This predictive modeling paper, “Household Life Insurance Demand – A Multivariate Two-Part Model is one of a collection of essays that examine how existing or new methods or models can be applied to the life insurance industry.

Description: This paper introduces actuaries to the concept of 'copulas,' a tool for understanding relationships among multivariate outcomes. A copula is a function that links univariate marginals to their full multivariate distribution. Recently, there has been a rapidly developing literature on the statistical properties and applications of copulas. This paper explores some of these practical applications, including estimation of joint life mortality and multidecrement models. In addition, the paper describes basic properties of copulas, their relationships to measures of dependence and several families of copulas that have appeared in the literature. This paper will also be useful to those who wish to use copulas for statistical inference. Statistical inference procedures are illustrated using insurance company data on losses and expenses. For this data, the paper shows how to fit copulas and describes their usefulness by pricing a reinsurance contract and estimating expenses for pre-specified losses.

Description: This Excel workbook contains the complete set of tables developed from the Society of Actuaries 2003 Pension Plan Termination and Retirement Study. Separate tabs are included for the Basic Age Table, Basic Service Table, Select & Ultimate Table, Small Plan Age Table, and Small Plan Service Table.

Description: This Excel workbook contains the complete set of tables developed from the Society of Actuaries 2003 Pension Plan Termination and Retirement Study. Separate tabs are included for the Basic Age Table, Basic Service Table, Select & Ultimate Table, Small Plan Age Table, and Small Plan Service Table.