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Rev Fin 1997; 10:525-577
© 1997 the Society for Financial Studies

Article

Short-term interest rates as subordinated diffusions

TG Conley, LP Hansen1,2, EGJ Luttmerz and JA Scheinkman1
Northwestern University, USA
1 University of Chicago and
2 NBER, USA
z Corresponding author at: Department of Finance, J L Kellogg Graduate School of Management, Northwestern University, Leverone Hall, 2001 Sheridan Rd., Evanston, IL 60208-2006, USA

Abstract

In this article we characterize and estimate the process for short-term interest rates using federal funds interest rate data. We presume that we are observing a discrete-time sample of a stationary scalar diffusion. We concentrate on a class of models in which the local volatility elasticity is constant and the drift has a flexible specification. To accommodate missing observations and to break the link between 'economic time' and calender time, we model the sampling scheme as an increasing process that is not directly observed. We propose and implement two new methods for estimation. We find evidence for a volatility elasticity between one and one-half and two. When interest rates are high, local mean reversion is small and the mechanism for inducing stationarity is the increased volatility of the diffusion process.


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