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Keywords:model misspecification OR Model misspecification 

Working Paper
Too Good to Be True? Fallacies in Evaluating Risk Factor Models

This paper is concerned with statistical inference and model evaluation in possibly misspecified and unidentified linear asset-pricing models estimated by maximum likelihood and one-step generalized method of moments. Strikingly, when spurious factors (that is, factors that are uncorrelated with the returns on the test assets) are present, the models exhibit perfect fit, as measured by the squared correlation between the model's fitted expected returns and the average realized returns. Furthermore, factors that are spurious are selected with high probability, while factors that are useful are ...
FRB Atlanta Working Paper , Paper 2017-9

Working Paper
Spurious Inference in Unidentified Asset-Pricing Models

This paper studies some seemingly anomalous results that arise in possibly misspecified and unidentified linear asset-pricing models estimated by maximum likelihood and one-step generalized method of moments (GMM). Strikingly, when useless factors (that is, factors that are independent of the returns on the test assets) are present, the models exhibit perfect fit, as measured by the squared correlation between the model's fitted expected returns and the average realized returns, and the tests for correct model specification have asymptotic power that is equal to the nominal size. In other ...
FRB Atlanta Working Paper , Paper 2014-12

Working Paper
Asymptotic variance approximations for invariant estimators in uncertain asset-pricing models

This paper derives explicit expressions for the asymptotic variances of the maximum likelihood and continuously updated GMM estimators under potentially misspecified models. 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. Although 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 ...
FRB Atlanta Working Paper , Paper 2015-9

Working Paper
Better the Devil You Know: Improved Forecasts from Imperfect Models

Many important economic decisions are based on a parametric forecasting model that is known to be good but imperfect. We propose methods to improve out-of-sample forecasts from a mis- speci…ed model by estimating its parameters using a form of local M estimation (thereby nesting local OLS and local MLE), drawing on information from a state variable that is correlated with the misspeci…cation of the model. We theoretically consider the forecast environments in which our approach is likely to o¤er improvements over standard methods, and we …nd signi…cant fore- cast improvements from ...
Finance and Economics Discussion Series , Paper 2021-071

Working Paper
Misspecification-robust inference in linear asset pricing models with irrelevant risk factors

We show that in misspecified models with useless factors (for example, factors that are independent of the returns on the test assets), the standard inference procedures tend to erroneously conclude, with high probability, that these irrelevant factors are priced and the restrictions of the model hold. Our proposed model selection procedure, which is robust to useless factors and potential model misspecification, restores the standard inference and proves to be effective in eliminating factors that do not improve the model's pricing ability. The practical relevance of our analysis is ...
FRB Atlanta Working Paper , Paper 2013-09

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