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On Stable Factor Structures in the Pricing of Risk

  • Eric Ghysels

Much of the research describing the cross-sectional and time series behavior of asset returns can be characterized as a search for the relevant state variables and also a search for the relevant model specification. Ultimately the scope of such efforts is to find a satisfactory and stable asset pricing structure. In this paper we discuss various methods to accomplish this and appraise the success of two recently proposed classes of asset pricing models in tracking predictable patterns in risk and return trade-offs. The two classes are the conditional CAPM and the nonlinear APT. The parameters of both models are estimated via a set of moment conditions using the GMM estimator and the model fit is judged on the basis of the overidentifying restrictions. The fundamental problem is that overidentifying restrictions tests are not designed to diagnose whether a model, provides a stable relationship between the return series and risk factors. We use a set of recently developed tests for structural stability of parameter estimates for the GMM estimator to diagnose which factor structures appear stable through time in the context of the two aforementioned classes of models. In the course of trying to sort out whether there is systematic mispricing we shall also try to determine what type of model looks most promising for further development. In that regard we find the nonlinear APT more satisfactory than the conditional APT and CAPM. Dans cette étude nous réexaminons les modèles à facteurs qui ont été proposés récemment, c'est à dire le CAPM conditionnel et l'APT non-linéaire. Ces modèles ont été estimés par la méthode des moments généralisée. La diagnostique usuelle pour juger ces modèles est la statistique de suridentification. Le problème fondamental de cette statistique est qu'elle n'a pas de puissance par rapport à des alternatives caractérisés par des variations de paramètres. Évidement, ces variations entraînent des erreurs sur l'évaluation du risque. Nous proposons d'appliquer des tests de changement structurel pour les paramètres et analysons plusieurs modèles du type APT non-linéaire et CAPM conditionnel. Peu de modèles semblent être stable. Nous trouvons que la spécification du APT non-linéaire semble être quand même la plus satisfaisante.

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Paper provided by CIRANO in its series CIRANO Working Papers with number 95s-16.

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Length: 41 pages
Date of creation: 01 Mar 1995
Date of revision:
Handle: RePEc:cir:cirwor:95s-16
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  10. Ghysels, E & Hall, A., 1988. "A Test For Structural Stability Of Euler Conditions Parameters Estimated Via The Generalized Methods Of Moments Estimators," Cahiers de recherche 8837, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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  26. Ghysels, Eric & Hall, Alastair, 1990. "Are consumption-based intertemporal capital asset pricing models structural?," Journal of Econometrics, Elsevier, vol. 45(1-2), pages 121-139.
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