Description: This paper explores some of the implications of rejecting the hypothesis that successive interest rate changes are independently, identically lognormally distributed on cash flow analysis. Discussions of this paper are included.

Description: Survey of appointed actuaries about asset adequacy testing techniques currently being used in 2012.

Description: In this paper, a general multivariate duration analysis is introduced that does not depend on a mathematical formulation of the way in which a yield curve moves. A discussion of the paper follows. From Transactions of Society of Actuaries 1991, Vol. 43.

Description: Presents a way to study C-1 risk 'default risk' for fixed-income assets in the context of asset/liability management. This approach utilizes cash flow projections and Monte Carlo sampling.

Description: Case Study is used to see how effectively an approach based on combining products can reduce C-3 'interest rate' risk.

Description: This provides a basic example of a mathematical model which may be used to build an investment portfolio which will minimize the risk of interest rate fluctuations.

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: 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: 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.