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: Securitization of mortality risks is an alternative risk management tool that may have some advantages over reinsurance. The purpose of this paper is to study mortality-based securities, such as swaps and mortality bonds, and to price the proposed mortality securities. We focus on group life annuity data, although the techniques could be applied to other lines of annuity or life insurance.

Description: The values of life insurance and annuity liabilities move in opposite directions in response to a change in the underlying mortality. Natural hedging utilizes this to stabilize aggregate liability cash flows. Our study shows empirical evidence that insurers who utilize natural hedging also charge lower premiums than otherwise similar insurers. This indicates that insurers who are able to utilize natural hedging have a competitive advantage. In addition, we show how a mortality swap might be used to provide the benefits of natural hedging to a firm that writes only one of the lines of business.

Description: This is the informal discussion transcript from Session 5A: Mortality and Longevity Research from the January 4-6, 2017 Living to 100 Symposium in Orlando.

Description: Discussion of Living to 100 Session 5A. The papers presented propose a new method to price the longevity risk premia in order to tackle the pricing obstacle and reviewed the insurance industry implications on retirement planning and the secondary market in insurance.

Description: Presented at Living to 100 symposium, January 2002. This paper presents data on the mortality, and mortality improvement trends, for retired U.S. Civil Service employees and their survivors, and analyzes the relationship to such factors as: Indexed final salary, Amount of indexed annuity, Total service at retirement, Duration on the Annuity Rolls, Retiree vs. beneficiary, Disability vs. non-disability.

Description: This paper demonstrates the calculation of the moments of the distribution of aggregate life insurance claims from seriatim inforce data, assuming that each record represents an independent Bernoulli trial with its own known probability of a claim, q. Continuous distributions matching the first three or four moments are identified.

Description: This paper discusses the current trend toward improved mortality rates at older ages. The paper then fits models to past trends, and projects future mortality based on a forward projection of these trends, and calculates annuity values based on these projections. From 2005 Living to 100 and Beyond Monograph, M-LI05-1.

Description: In this paper we shall present our results in terms of the estimation of human mortality rates, but the results carry over to other applications. We shall discuss a Bayesian model that encompasses both graduation [smoothing] and prediction.

Description: Presented at Living to 100 Symposium, January 2011. This paper explores the select period and the wealth effect at older ages, and also examines mortality rates for three distinct senior populations: 1. the U.S. population, through an annual sample of the Medicare database of the Centers for Disease Control and Prevention, 2. the life settlement population of an independent life settlement underwriter, 21st Services LLC, and 3. the population implied by the Society of Actuaries' 2008 Valuation Basic Tables VBT.