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: This paper presents the modeling of mortality risk from exposure to a potential future extreme event such as a natural disaster and a terrorist attack, and its impact on life insurance. With this new model, quantities associated with the total force of mortality such as survival function are derived and the impact of mortality risk on life insurance is examined.

Description: This paper is to some extent a sequel to my previous paper A Bond Manager's Method for ALM published in Actuarial Research Clearing House Volume 1993.3. It borrows from that paper the concept of benchmark weights for measuring the sensitivity of the present value of a set of cash flows to changes in interest rates. However, a completely different approach to calculating benchmark weights is presented.

Description: From a session at the 2001 Valuation Actuary Symposium, held in Lake Buena Vista, Florida, November 29-30, 2001 Panel discussion overview of current risk-based capital RBC requirements of life insurers, as well as insight into topical issues and potential changes to RBC. Items covered include: • Recap of RBC law and RBC calculation rules • Tax impact on the factors • Common stock issue • C-3 testing • Proposed C-3 testing for Variable Annuity Guaranteed Living Benefits VAGLB • Liquidity risk issue

Description: Description of new regulatory risk disclosure for private fund advisers.

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 purpose of this note is to show how certain formulas of life contingencies can be derived almost painlessly under the uniform distribution of deaths assumption.

Description: Recurrence relations arise naturally in life contingencies for 2 reasons - the aggregate law of mortality, which relates the distribution of the future life times of 2 insureds, if one of them and the other is that most life insurance products can be constructed as a portfolio of 2 basic product types. We use the above simple idea and the extra freedom provided by the fractional age distribution to reveal a structure behind some common recursions. The structure has obvious pedagogical value. More interestingly, a software based on it has been implemented which facilitates actuarial computing.

Description: This paper presents a random selection method with the Monte Carlo simulation technique in the estimation of loss reserves. The future loss development factors are randomly selected from a weighted empirical distribution of observed loss development factors. This nonparametric approach provides an estimate of the distribution of total loss reserve.

Description: The article provides a complete and rigorous analysis based on calculus for the topics in the theory of compound interest: the monotone convergence properties of the rates of interest and discount payable m times per interest conversion period in relation to the force of interest, the monotone convergence properties of the present value and accumulated value of an ordinary annuity with m payments per interest conversion period in relation to those of a continuously paying ordinary annuity and a method for approximating the present value of an ordinary annuity, or an increasing annuity with m payments per interest conversion period, by accumulating, at compound interest for the fraction m - l/2m of an interest conversion period, the present value of the same type of annuity with one payment per interest conversion period.