Recent developments in the literature on bond portfolio management have identified conditions under which uncertainty of the investment return attributable to interest rate changes is eliminated. Such a strategy, called immunization, is achieved when the duration of the bond or portfolio of bonds is equal to the investor's holding period. Duration is defined as a weighted average time to maturity and was originally developed by Macaulay [13]. The condition under which immunization is obtained by setting duration equal to holding period was derived by Redington [14] and Fisher and Weil [10] and further developed by Bierwag and Kaufman [4], Bierwag [2], and Khang [12]. Bierwag [3] has provided a concise summary of the theory of immunization, and Bierwag and Khang [7] show that immunization is equivalent to selecting a strategy in which the worst possible return is maximized, i.e., a minimax strategy. Bierwag [1] examines immunization under multiple shocks to the term structure and Bierwag, Kaufman, and Toevs [6] extend the concept to a general equilibrium, two-state Arrow-Debreu world.