Duration gaps with futures and swaps for managing interest rate risk at depository institutions

Duration gaps for depository institutions are derived for economic net worth, economic net income, and book value interest income. The duration gaps previously constructed for on-balance sheet accounts are expanded to off-balance sheet accounts, including futures contracts and swap agreements. These expanded duration gaps are indicators of the sensitivity of the market value of net worth and income measures to interest rate fluctuations. Managers of depository institutions can establish these duration gaps as targets and can utilize futures markets and swap agreements to affect the target values. The developments in this article are based on a single factor model of interest rate movements, but the results can be extended.The work in this article is based partly on Bierwag and Kaufman (1989), a study prepared for and funded by the Federal Home Loan Bank Board. We have benefited from comments of discussants and participants at presentations at HEC Jouy-en-Josas, the meetings of the European Finance Association, and seminars at the University of Delaware, Loyola University of Chicago, the Federal Reserve Bank of Chicago, Florida State University, and the University of Illinois, Chicago.