Asymptotic Variance Approximations for Invariant Estimators in Uncertain Asset-Pricing Models
File(s)invariant_misspecified_final.pdf (265.46 KB)
Accepted version
Author(s)
Robotti, C
gospodinov, N
kan, R
Type
Journal Article
Abstract
This paper derives explicit expressions for the asymptotic variances of the maximum likelihood
and continuously-updated GMM estimators in models that may not satisfy the fundamental assetpricing
restrictions in population. The proposed misspecification-robust variance estimators allow
the researcher to conduct valid inference on the model parameters even when the model is rejected
by the data. While the results for the maximum likelihood estimator are only applicable to linear
asset-pricing models, the asymptotic distribution of the continuously-updated GMM estimator is
derived for general, possibly nonlinear, models. The large corrections in the asymptotic variances,
that arise from explicitly incorporating model misspecification in the analysis, are illustrated using
simulations and an empirical application.
and continuously-updated GMM estimators in models that may not satisfy the fundamental assetpricing
restrictions in population. The proposed misspecification-robust variance estimators allow
the researcher to conduct valid inference on the model parameters even when the model is rejected
by the data. While the results for the maximum likelihood estimator are only applicable to linear
asset-pricing models, the asymptotic distribution of the continuously-updated GMM estimator is
derived for general, possibly nonlinear, models. The large corrections in the asymptotic variances,
that arise from explicitly incorporating model misspecification in the analysis, are illustrated using
simulations and an empirical application.
Date Acceptance
2016-02-18
Citation
Econometric Reviews
ISSN
1532-4168
Publisher
Taylor & Francis: STM, Behavioural Science and Public Health Titles
Journal / Book Title
Econometric Reviews
Subjects
Asset pricing
Model misspecification
Continuously-updated GMM
Maximum likelihood
Asymptotic approximation
Misspecification-robust tests
Publication Status
Accepted