Description: Two-dimensional data can be smoothed by minimizing a combination of the sum of weighted absolute deviations from initial estimates and the sums of absolute values of differences in the two directions. This paper discusses the techniques of parametric programming which make it feasible to explore the different results obtained by varying the emphasis given to fit versus smoothness. From Actuarial Research Clearing House 1994, VOL. 1.

Description: This paper analyzes the U. S. Treasury monthly interest rates from 1953 to 1992, and the daily rates from 1981 to 1992 for various forms of chaotic behavior. The primary analysis was in determining the Burst Exponent by the use of Rescaled Range Analysis. This paper also discusses other possible uses of Fractional Brownian Motion in Finance Theory, Macroeconomics, and Actuarial Science. From Actuarial Research Clearing House 1994 VOL. 1.

Description: Abstract for the paper which gives a unified approach to modern credibility models by using the theory of estimating functions.

Description: The objective of this paper is to present and to apply a numerical method in the calculation of the minimal and maximal ultimate ruin probabilities in two risk models given some moment constraints on the individual claimsize distribution. An application of this optimization problem is to find the extremal lower and upper bounds of the ultimate ruin probabilities given those constraints. The paper considers the classical risk models with constant and variable premiums.

Description: This paper compares percentile estimates of a large number of cash flow testing scenarios, where only a very small number fall in the ruin tail, by parametric and non-parametric methods.

Description: The net premium for insurance for expected loss in excess of a retention limit may be small, but the resulting variance of excess losses produces a standard deviation several times that of the premium. The purpose of this paper is to give a derivation and evaluation of the standard deviation of the excess losses.

Description: 1995 Valuation Actuary Symposium. In this session panelists discussed how cash-flow testing models can be used to provide significant Asset/Liability Management information, making the transition from cash-flow testing to ALM, definitions of ALM, the key assumptions in ALM, and evaluating results.

Description: This session at the 1998 Valuation Actuary Symposium discusses issues related to variable and fixed deferred annuity modeling.

Description: 1998 Valuation Actuary Symposium. The panelists addressed the practical implications of how to use value-at-risk in a real-life setting, risk-based surplus, and an update of the C-3 component of RBC. This session is a mix between the regulatory situation and quantitative analysis.

Description: This paper shows the mortality element can be partially isolated allowing an exact annuity value to be readily obtained at any interest rate. From the Actuarial Research Clearing House 1979, Vol.2.