TY  - JOUR
AU  - Bekaert,Geert
AU  - Hodrick,Robert J.
TI  - Expectations Hypotheses Tests
JF  - National Bureau of Economic Research Working Paper Series
VL  - No. 7609
PY  - 2000
Y2  - March 2000
UR  - http://www.nber.org/papers/w7609
L1  - http://www.nber.org/papers/w7609.pdf
N1  - Author contact info:
Geert Bekaert
Graduate School of Business
Columbia University
3022 Broadway, 411 Uris Hall
New York, NY 10027
Tel: 212/854-9156
Fax: 212/662-8474
E-Mail: gb241@columbia.edu

Robert J. Hodrick
Graduate School of Business
Columbia University
3022 Broadway
New York, NY 10027
Tel: 212/854-3413
Fax: 212/316-9219
E-Mail: rh169@columbia.edu
AB  - 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.
ER  -