Is the Short Rate Drift Actually Nonlinear?
AbstractVirtually all existing continuous-time, single-factor term structure models are based on a short rate process that has a linear drift function. However, there is no strong a priori argument in favor of linearity, and Stanton (1997) and Ait-Sahalia (1996) employ nonparametric estimation techniques to conclude that the drift function of the short rate contains important nonlinearities. Comparatively little is known about the finite-sample properties of these estimators, particularly when they are applied to frequent sampling of a very persistent process, like short term interest rates. In this paper, we apply these estimators to simulated sample paths of a square-root diffusion. Although the drift function is linear, both estimators suggest nonlinearities of the type and magnitude reported in by Stanton (1997) and Ait-Sahalia (1996). These results, along with the results of a simple GMM estimation procedure applied to the Stanton and Ait-Sahalia data sets, imply that nonlinearity of the short rate drift is not a robust stylized fact.
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Bibliographic InfoPaper provided by EconWPA in its series Finance with number 9808005.
Date of creation: 28 Aug 1998
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term structure; continuous-time;
Other versions of this item:
- G1 - Financial Economics - - General Financial Markets
This paper has been announced in the following NEP Reports:
- NEP-ALL-1998-10-02 (All new papers)
- NEP-ETS-1998-10-02 (Econometric Time Series)
- NEP-FMK-1998-10-08 (Financial Markets)
- NEP-IFN-1998-10-02 (International Finance)
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