Sampling Interval and estimated Betas : Implications for the Presence of Transitory Components in Stock Prices

We provide a theoretical framework to explain the empirical finding that the estimated betas are sensitive to the sampling interval even when using continuously compounded returns. We suppose that stock prices have both permanent and transitory components. The permanent component is a standard geometric Brownian motion while the transitory component is a stationary Ornstein-Uhlenbeck process. The discrete time representation of the beta depends on the sampling interval and two components labelled \"permanent and transitory betas\". We show that if no transitory component is present in stock prices, then no sampling interval effect occurs. However, the presence of a transitory component implies that the beta is an increasing (decreasing) function of the sampling interval for more (less) risky assets. In our framework, assets are labelled risky if their \"permanent beta\" is greater than their \"transitory beta\" and vice versa for less risky assets. Simulations show that our theoretical results provide good approximations for the means and standard deviations of estimated betas in small samples. Our results can be perceived as indirect evidence for the presence of a transitory component in stock prices, as proposed by Fama and French (1988) and Poterba and Summers (1988).

Identification, Weak Instruments and Statistical Inference in Econometrics

We discuss statistical inference problems associated with identification and testability in econometrics, and we emphasize the common nature of the two issues. After reviewing the relevant statistical notions, we consider in turn inference in nonparametric models and recent developments on weakly identified models (or weak instruments). We point out that many hypotheses, for which test procedures are commonly proposed, are not testable at all, while some frequently used econometric methods are fundamentally inappropriate for the models considered. Such situations lead to ill-defined statistical problems and are often associated with a misguided use of asymptotic distributional results. Concerning nonparametric hypotheses, we discuss three basic problems for which such difficulties occur: (1) testing a mean (or a moment) under (too) weak distributional assumptions; (2) inference under heteroskedasticity of unknown form; (3) inference in dynamic models with an unlimited number of parameters. Concerning weakly identified models, we stress that valid inference should be based on proper pivotal functions —a condition not satisfied by standard Wald-type methods based on standard errors — and we discuss recent developments in this field, mainly from the viewpoint of building valid tests and confidence sets. The techniques discussed include alternative proposed statistics, bounds, projection, split-sampling, conditioning, Monte Carlo tests. The possibility of deriving a finite-sample distributional theory, robustness to the presence of weak instruments, and robustness to the specification of a model for endogenous explanatory variables are stressed as important criteria assessing alternative procedures.

Latent Variable Models for Stochastic Discount Factors.

Latent variable models in finance originate both from asset pricing theory and time series analysis. These two strands of literature appeal to two different concepts of latent structures, which are both useful to reduce the dimension of a statistical model specified for a multivariate time series of asset prices. In the CAPM or APT beta pricing models, the dimension reduction is cross-sectional in nature, while in time-series state-space models, dimension is reduced longitudinally by assuming conditional independence between consecutive returns, given a small number of state variables. In this paper, we use the concept of Stochastic Discount Factor (SDF) or pricing kernel as a unifying principle to integrate these two concepts of latent variables. Beta pricing relations amount to characterize the factors as a basis of a vectorial space for the SDF. The coefficients of the SDF with respect to the factors are specified as deterministic functions of some state variables which summarize their dynamics. In beta pricing models, it is often said that only the factorial risk is compensated since the remaining idiosyncratic risk is diversifiable. Implicitly, this argument can be interpreted as a conditional cross-sectional factor structure, that is, a conditional independence between contemporaneous returns of a large number of assets, given a small number of factors, like in standard Factor Analysis. We provide this unifying analysis in the context of conditional equilibrium beta pricing as well as asset pricing with stochastic volatility, stochastic interest rates and other state variables. We address the general issue of econometric specifications of dynamic asset pricing models, which cover the modern literature on conditionally heteroskedastic factor models as well as equilibrium-based asset pricing models with an intertemporal specification of preferences and market fundamentals. We interpret various instantaneous causality relationships between state variables and market fundamentals as leverage effects and discuss their central role relative to the validity of standard CAPM-like stock pricing and preference-free option pricing.

Statistical Inference for Computable General Equilibrium Models with Application to a Model of the Moroccan Economy

We study the problem of measuring the uncertainty of CGE (or RBC)-type model simulations associated with parameter uncertainty. We describe two approaches for building confidence sets on model endogenous variables. The first one uses a standard Wald-type statistic. The second approach assumes that a confidence set (sampling or Bayesian) is available for the free parameters, from which confidence sets are derived by a projection technique. The latter has two advantages: first, confidence set validity is not affected by model nonlinearities; second, we can easily build simultaneous confidence intervals for an unlimited number of variables. We study conditions under which these confidence sets take the form of intervals and show they can be implemented using standard methods for solving CGE models. We present an application to a CGE model of the Moroccan economy to study the effects of policy-induced increases of transfers from Moroccan expatriates.

Harsanyi’s Social Aggregation Theorem : A Multi-Profile Approach with Variable-Population Extensions

This paper provides new versions of Harsanyi’s social aggregation theorem that are formulated in terms of prospects rather than lotteries. Strengthening an earlier result, fixed-population ex-ante utilitarianism is characterized in a multi-profile setting with fixed probabilities. In addition, we extend the social aggregation theorem to social-evaluation problems under uncertainty with a variable population and generalize our approach to uncertain alternatives, which consist of compound vectors of probability distributions and prospects.

Projection-Based Statistical Inference in Linear Structural Models with Possibly Weak Instruments

It is well known that standard asymptotic theory is not valid or is extremely unreliable in models with identification problems or weak instruments [Dufour (1997, Econometrica), Staiger and Stock (1997, Econometrica), Wang and Zivot (1998, Econometrica), Stock and Wright (2000, Econometrica), Dufour and Jasiak (2001, International Economic Review)]. One possible way out consists here in using a variant of the Anderson-Rubin (1949, Ann. Math. Stat.) procedure. The latter, however, allows one to build exact tests and confidence sets only for the full vector of the coefficients of the endogenous explanatory variables in a structural equation, which in general does not allow for individual coefficients. This problem may in principle be overcome by using projection techniques [Dufour (1997, Econometrica), Dufour and Jasiak (2001, International Economic Review)]. AR-types are emphasized because they are robust to both weak instruments and instrument exclusion. However, these techniques can be implemented only by using costly numerical techniques. In this paper, we provide a complete analytic solution to the problem of building projection-based confidence sets from Anderson-Rubin-type confidence sets. The latter involves the geometric properties of “quadrics” and can be viewed as an extension of usual confidence intervals and ellipsoids. Only least squares techniques are required for building the confidence intervals. We also study by simulation how “conservative” projection-based confidence sets are. Finally, we illustrate the methods proposed by applying them to three different examples: the relationship between trade and growth in a cross-section of countries, returns to education, and a study of production functions in the U.S. economy.

La transformation du rôle de représentante d’aidantes familiales pendant l’hébergement de leur parent atteint de démence : une théorisation ancrée

RÉSUMÉ L‘hébergement en centre de soins de longue durée d'un parent âgé atteint de démence marque une transition pour les personnes qui occupent un rôle d’aidant familial principal. Ces personnes, principalement des femmes, poursuivent leur engagement après l’hébergement et souhaitent être impliquées dans les décisions concernant les soins offerts à leur parent. Souvent l'hébergement survient au moment où la personne âgée n'est plus en mesure, compte tenu de ses déficiences cognitives, d'exprimer clairement ses besoins; les aidantes accordent alors une place centrale au rôle de représentante de leur proche hébergé. Cette étude avait pour but d’expliquer la transformation du rôle de représentante chez des aidantes familiales dont le parent atteint de démence vit dans un centre d’hébergement et de soins de longue durée (CHSLD). La méthode qualitative de la théorisation ancrée a été retenue pour expliquer ce processus social. Les résultats obtenus reposent sur 14 entrevues en profondeur réalisées auprès de filles dont le parent atteint de démence était hébergé depuis plus de six mois dans un CHSLD. Ces aidantes ont été sélectionnées selon une procédure d’échantillonnage théorique et l’analyse des données a été réalisée à partir de la transcription intégrale des entrevues en suivant trois niveaux d'analyse, soit la codification ouverte, axiale et sélective. Une proposition théorique, générée par voie inductive, met en lumière trois processus intermédiaires interreliés expliquant la transformation du rôle de représentante pendant l’hébergement du proche : 1) l’intégration dans le milieu ; 2) l’évaluation de la qualité des soins et 3) le développement de la confiance envers le milieu d’hébergement. Plus précisément, les aidantes déploient différentes stratégies d’intégration dans le milieu d’hébergement, soit l’établissement de relations de réciprocité et d’une collaboration avec le personnel soignant, ainsi que l’utilisation d’un style de communication diplomatique. Parallèlement, elles évaluent la qualité des soins en trois étapes : jugement, pondération et action. Finalement, une relation de confiance avec les membres du personnel de l’établissement se développe en lien avec cinq facteurs spécifiques, soit les premières impressions, la comparaison avec d’autres CHSLD, l’intérêt démontré par le personnel envers le proche, le fait d’être entendue et prise au sérieux et la transparence du milieu d’hébergement. Ces trois processus contribuent au bien-être du parent hébergé et à celui de l’aidante. Le développement de la confiance étant associé aux deux autres processus intermédiaires ainsi qu’au bien-être de l’aidante, il est le processus central de la théorie contextuelle qui émerge de cette recherche. Cette étude contribue au développement des connaissances, notamment en fournissant plusieurs éléments inédits de compréhension du processus de transformation du rôle de représentante des aidantes familiales, de même que des pistes pour soutenir ces aidantes dont le parent, souffrant de démence, n’est plus en mesure de prendre des décisions. La théorie contextuelle proposée dans le cadre de cette étude constitue les prémices d’une théorie de niveau intermédiaire portant sur le rôle de représentant des aidants familiaux dans le contexte plus général du système de santé. Des études réalisées dans d’autres contextes de soins et auprès d’aidants de proches vulnérables ayant d’autres types d’affections sont ainsi recommandées.

The shunt from the cyclooxygenase to lipoxygenase pathway in human osteoarthritic subchondral osteoblasts is linked with a variable expression of the 5-lipoxygenase-activating protein

Affiliation: Unité de recherche en Arthrose, Centre de recherche du Centre Hospitalier de l'Université de Montréal, Hôpital Notre-Dame

From Smeed's Single-Damage Fixed-Form Three-Variable Model to Multinational and Multiprovincial Drag-Type Formulations: Does the Mystery of 1972-1973 Disapear ?

Rapport de recherche

Les erreurs de mesure sur la variable indépendante, dans le cadre de séries chronologiques.

Rapport de recherche