An Analytic Solution for Interest Rate Swap Spreads

45 Pages Posted: 21 Jan 2002

See all articles by Mark Grinblatt

Mark Grinblatt

University of California, Los Angeles (UCLA) - Finance Area; Yale University - International Center for Finance; National Bureau of Economic Research (NBER)

Date Written: January 2002

Abstract

This paper argues that liquidity differences between government securities and short term Eurodollar borrowings account for interest rate swap spreads. It then models the convenience of liquidity as a linear function of two mean-reverting state variables and values it. The interest rate swap spread for a swap of particular maturity is the annuitized equivalent of this value. It has a closed form solution: a simple integral. Special cases examined include the Vasicek (1977) and Cox-Ingersoll-Ross (1985) one-factor term structure models. Numerical values for the parameters in both special cases illustrate that many realistic "swap spread term structures" can be replicated. Model parameters are estimated using weekly data on the "term structure of swap spreads" from several countries. The model fits the data well.

JEL Classification: E4

Suggested Citation

Grinblatt, Mark, An Analytic Solution for Interest Rate Swap Spreads (January 2002). Yale ICF Working Paper No. 02-02. Available at SSRN: https://ssrn.com/abstract=6460 or http://dx.doi.org/10.2139/ssrn.6460

Mark Grinblatt (Contact Author)

University of California, Los Angeles (UCLA) - Finance Area ( email )

Los Angeles, CA 90095-1481
United States
310-825-1098 (Phone)
310-206-5455 (Fax)

Yale University - International Center for Finance

Box 208200
New Haven, CT 06520-8200
United States

National Bureau of Economic Research (NBER)

1050 Massachusetts Avenue
Cambridge, MA 02138
United States

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