Description: This research paper examines the justification of using the one-factor general equilibrium model of Cox, Ingersoll, and Ross to model the term structure of interest rates and their volatility. From the Actuarial Research Clearing House ARCH 1990 Vol. 1.

Description: Article AERF in The Actuary, May 1979, Volume 13, Number 5

Description: Provides a how-to session on modeling assets and liabilities in the Valuation Actuary's work to comply with the Standard Valuation Law. Comparisons of the methods discussed are occasionally made with the requirements of New York Regulation 126. Session 12 of the 1991 Valuation Actuary Symposium.

Description: This article pertains to the optimal asset allocation of surplus from an insurance company model. The insurance company is represented by a compound Poisson risk process which is perturbed by diffusion and has investments. The investments are in both risky and risk-free types of assets similar to stocks/real estate and bonds. The insurance company can borrow at a constant interest rate in the event of a negative surplus. Numerical analysis appears to show that an optimal asset allocation range can be estimated for certain parameters and compared with insurance data. Using a conservative method to minimize the probability of ruin, a reasonable optimal asset allocation range for a typical insurance company is about 4.5 to 8.2 percent invested in risky stock/real estate assets. An inequality and the exact solution are obtained for the pure diffusion equation. In addition, the asymptotic form of the ruin probability is shown to be a power function.

Description: The report examines various benchmarks for analyzing option adjusted spreads of the major fixed income asset classes of life insurance companies.

Description: This paper discusses extending the general nonparallel shift approach to duration analysis developed previously and explores the immunization model within the multivariate context. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: This presentation is from session number 3, presented at the 1999 Valuation Actuary Symposium, held September 23-24 in Los Angeles. The panelists address specific asset modeling issues of current interest, including purpose of model considerations, dynamic reinvestment strategies, and less than rigorous modeling of asset optionality.

Description: Discussion of Capital Market Modeling techniques

Description: Results of an industry survey on life insurance companies' efforts to implement the recently adopted Life Risk-Based Capital Phase II Instructions, which include new requirements for variable annuity contracts. Adopted by the NAIC on October 14, 2005, the new requirements are effective for year-end 2005. Also discusses a summary of the requirements set forth in the instructions.

Description: The behavior of extreme paths in the usual stochastic interest rate models is not nearly so plausible as the behavior of their expected values and variances. This paper proposes a new class of models that deliver more plausible extreme paths while preserving the usual expected value and variance behavior. Along the way we derive the closed form solution for the traditional mean-reverting lognormal process, including the drift compensation.