TY - JOUR
AU - Hansen,Lars Peter
AU - Singleton,Kenneth J.
TI - Efficient Estimation of Linear Asset Pricing Models with Moving-Average Errors
JF - National Bureau of Economic Research Technical Working Paper Series
VL - No. 86
PY - 1997
Y2 - March 1997
UR - http://www.nber.org/papers/t0086
L1 - http://www.nber.org/papers/t0086.pdf
N1 - Author contact info:
Lars P. Hansen
Department of Economics
The University of Chicago
1126 East 59th Street
Chicago, IL 60637
Tel: 773/702-8170
Fax: 773/702-8490
E-Mail: lhansen@uchicago.edu
Kenneth J. Singleton
Graduate School of Business
Knight Management Center
Stanford University
Stanford, CA 94305
Tel: 650/723-5753
Fax: 650/725-6152
E-Mail: kenneths@stanford.edu
AB - This paper explores in depth the nature of the conditional moment restrictions implied by log-linear intertemporal capital asset pricing models (ICAPMs) and shows that the generalized instrumental variables (GMM) estimators of these models (as typically implemented in practice) are inefficient. The moment conditions in the presence of temporally aggregated consumption are derived for two log-linear ICAPMs. The first is a continuous time model in which agents maximize expected utility. In the context of this model, we show that there are important asymmetries between the implied moment conditions for infinitely and finitely-lived securities. The second model assumes that agents maximize non-expected utility, and leads to a very similar econometric relation for the return on the wealth portfolio. Then we describe the efficiency bound (greatest lower bound for the asymptotic variances) of the CNN estimators of the preference parameters in these models. In addition, we calculate the efficient CNN estimators that attain this bound. Finally, we assess the gains in precision from using this optimal CNN estimator relative to the commonly used inefficient CMN estimators.
ER -