We. Ferson et Sr. Foerster, FINITE-SAMPLE PROPERTIES OF THE GENERALIZED-METHOD OF MOMENTS IN TESTS OF CONDITIONAL ASSET PRICING-MODELS, Journal of financial economics, 36(1), 1994, pp. 29-55
We develop evidence on the finite sample properties of the Generalized
Method of Moments (GMM) in an asset pricing context. The models imply
nonlinear, cross-equation restrictions on predictive regressions for
security returns. We find that a two-stage GMM approach produces goodn
ess-of-fit statistics that reject the restrictions too often. An itera
ted GMM approach has superior finite sample properties. The coefficien
t estimates are approximately unbiased in simpler models, but their as
ymptotic standard errors are understated. Simple adjustments for the s
tandard errors are partially successful in correcting the bias. In mor
e complex models the coefficients and their standard errors can be hig
hly unreliable. The power of the tests to reject a single-premium mode
l is higher against a two-premium, fixed-beta alternative than against
a conditional Capital Asset Pricing Model with time-varying betas.