THE MATCHING OF ASSETS WITH LIABILITIES BY GOAL PROGRAMMING

Abstract
A major problem facing the financial industry today is interest rate fluctuations. An important technique for insulating a fixed‐income portfolio from shifts in the term structure of interest rates is the method of cash‐flow matching. This method can be enhanced by allowing carry forward and borrowing from future surpluses. Unfortunately, the resulting mathematical program is non‐linear. In this paper, we show that the introduction of deviational variables linearises the problem. As the decision maker may have several incommensurable objectives, we propose a goal programming formulation as a realistic and flexible model for this problem. The resulting model can then be solved by using a standard operational research computer package.

This publication has 8 references indexed in Scilit: