We document extreme bias and dispersion in the small sample distributions of five standard regression tests of the expectations hypothesis of the term structure of interest rates. These biases derive from the extreme persistence in short interest rates. We derive approximate analytic expressions for these biases, and we characterize the small-sample distributions of these test statistics under a simple first-order autoregressive data generating process for the short rate. The biases are also present when the short rate is modeled with a more realistic regime-switching process. The differences between the small-sample distributions of test statistics and the asymptotic distributions partially reconcile the different inferences drawn when alternative tests are used to evaluate the expectations hypothesis. In general, the test statistics reject the expectations hypothesis more strongly and uniformly when they are evaluated using the small-sample distributions, as compared to the asymptotic distributions.
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Paper provided by National Bureau of Economic Research, Inc in its series NBER Technical Working Papers with number
0191.
Length: Date of creation: Jan 1996 Date of revision: Publication status: published as Journal of Financial Economics, Vol.44 (June 1997): 309-348. Handle: RePEc:nbr:nberte:0191
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