RT Journal Article
SR Electronic
T1 New Formulas for Immunizing Durations
JF The Journal of Derivatives
FD Institutional Investor Journals
SP 28
OP 36
DO 10.3905/jod.2000.319147
VO 8
IS 2
A1 Grzegorz Rządkowski
A1 Leszek S. Zaremba
YR 2000
UL https://pm-research.com/content/8/2/28.abstract
AB The concept of duration has long been established as a standard tool for measuring and managing the interest sensitivity of a fixed-income instrument or portfolio. One important use of duration is in setting up an immunization strategy, such that the risk attached to a given future cash flow is immunized against a shift in the term structure by an offsetting hedge position that has the same duration. Earlier models in the literature developed duration-based strategies for immunizing against specific types of yield curve shifts, for example, an additive shift of a fixed number of basis points at every maturity. This article offers several new duration formulas that greatly extend the range of allowable yield curve shifts. Three theorems develop duration-based immunization techniques that cover, in the most general case, a portfolio of instruments exposed to any sum of a finite number of piecewise continuous functions. The results of previous duration models are shown to be special cases of this general formulation.