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. To motivate the multivariate approach, simple examples are presented that demonstrate the limitations of the traditional model when yield curve shifts are not parallel.

Description: This paper presents a new insight into the mathematical structure of asset share-type calculations. Asset shares are interpreted as accumulations of insurance cash flows, which along with their related investment income, are treated as Stieltjes integrals. From Transactions of Society of Actuaries 1978, Vol. 30.

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: 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. Consequently, complete price sensitivity information is derived which is equally applicable in all yield curve environments. In addition, this model is practical and relatively easy to apply. From the Actuarial Research Clearing House ARCH 1989 Vol. 2.

Description: The author previously wrote about extending the general nonparallel shlft approach to duration analysis. This paper explores the immunization properties of that model. In addition, applications to asset-liability management are explored. From Actuarial Research Clearing House 1990 VOL. 2.