Expectations Hypotheses Tests

46 Pages Posted: 25 Apr 2000 Last revised: 10 Apr 2001

See all articles by Geert Bekaert

Geert Bekaert

Columbia Business School - Finance and Economics

Robert J. Hodrick

Columbia Business School - Finance and Economics; National Bureau of Economic Research (NBER)

Multiple version iconThere are 2 versions of this paper

Date Written: March 2000

Abstract

We investigate the Expectations Hypotheses of the term structure of interest rates and of the foreign exchange market using vector autoregressive methods for the U.S. dollar, Deutsche mark, and British pound interest rates and exchange rates. In addition to standard Wald tests, we formulate Lagrange Multiplier and Distance Metric tests which require estimation under the non-linear constraints of the null hypotheses. Estimation under the null is achieved by iterating on approximate solutions that require only matrix inversions. We use a bias-corrected, constrained vector autoregression as a data generating process and construct extensive Monte Carlo simulations of the various test statistics under the null hypotheses. Wald tests suffer from severe size distortions and use of the asymptotic critical values results in gross over-rejection of the null. The Lagrange Multiplier tests slightly under-reject the null, and the Distance Metric tests over-reject. Use of the small sample distributions of the different tests leads to a common interpretation of the validity of the Expectations Hypotheses. The evidence against the Expectations Hypotheses for these interest rates and exchange rates is much less strong than under asymptotic inference.

Suggested Citation

Bekaert, Geert and Hodrick, Robert J., Expectations Hypotheses Tests (March 2000). NBER Working Paper No. w7609. Available at SSRN: https://ssrn.com/abstract=220650

Geert Bekaert (Contact Author)

Columbia Business School - Finance and Economics ( email )

3022 Broadway
New York, NY 10027
United States

Robert J. Hodrick

Columbia Business School - Finance and Economics ( email )

3022 Broadway
New York, NY 10027
United States

National Bureau of Economic Research (NBER)

365 Fifth Avenue, 5th Floor
New York, NY 10016-4309
United States

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