Exact Skewness-Kurtosis Tests for Multivariate Normality and Goodness-of-fit in Multivariate Regressions with Application to Asset Pricing Models

We study the problem of testing the error distribution in a multivariate linear regression (MLR) model. The tests are functions of appropriately standardized multivariate least squares residuals whose distribution is invariant to the unknown cross-equation error covariance matrix. Empirical multivariate skewness and kurtosis criteria are then compared to simulation-based estimate of their expected value under the hypothesized distribution. Special cases considered include testing multivariate normal, Student t; normal mixtures and stable error models. In the Gaussian case, finite-sample versions of the standard multivariate skewness and kurtosis tests are derived. To do this, we exploit simple, double and multi-stage Monte Carlo test methods. For non-Gaussian distribution families involving nuisance parameters, confidence sets are derived for the the nuisance parameters and the error distribution. The procedures considered are evaluated in a small simulation experi-ment. Finally, the tests are applied to an asset pricing model with observable risk-free rates, using monthly returns on New York Stock Exchange (NYSE) portfolios over five-year subperiods from 1926-1995.

In Search of Advice for Physicians in Entry-Level Medical Markets

We consider entry-level medical markets for physicians in the United Kingdom. These markets experienced failures which led to the adoption of centralized market mechanisms in the 1960's. However, different regions introduced different centralized mechanisms. We advise physicians who do not have detailed information about the rank-order lists submitted by the other participants. We demonstrate that in each of these markets in a low information environment it is not beneficial to reverse the true ranking of any two acceptable hospital positions. We further show that (i) in the Edinburgh 1967 market, ranking unacceptable matches as acceptable is not profitable for any participant and (ii) in any other British entry-level medical market, it is possible that only strategies which rank unacceptable positions as acceptable are optimal for a physician.

Temporary Natural Resource Cartels

We analyze the behavior of a nonrenewable resource cartel that anticipates being forced, at some date in the future, to break-up into an oligopolistic market in which its members will then have to compete as rivals. Under reasonable assumptions about the value function of the individual firms in the oligopolistic equilibrium that follows the break-up, we show that the cartel will then produce more over the same interval of time than it would if there were no threat of dissolution, and that its rate of extraction is a decreasing function of the cartel's life; that there are circumstances under which the cartel will attach a negative marginal value to the resource stocks, in which case the rate of depletion will be increasing over time during the cartel phase; that, for a given date of dissolution, the equilibrium stocks allocated to the post-cartel phase will increase as a function of the total initial stocks, whereas those allocated to the cartel phase will increase at first, but begin decreasing beyond some level of the total initial stocks.

Exact Multivariate Tests of Asset Pricing Models with Stable Asymmetric Distributions

In this paper, we propose exact inference procedures for asset pricing models that can be formulated in the framework of a multivariate linear regression (CAPM), allowing for stable error distributions. The normality assumption on the distribution of stock returns is usually rejected in empirical studies, due to excess kurtosis and asymmetry. To model such data, we propose a comprehensive statistical approach which allows for alternative - possibly asymmetric - heavy tailed distributions without the use of large-sample approximations. The methods suggested are based on Monte Carlo test techniques. Goodness-of-fit tests are formally incorporated to ensure that the error distributions considered are empirically sustainable, from which exact confidence sets for the unknown tail area and asymmetry parameters of the stable error distribution are derived. Tests for the efficiency of the market portfolio (zero intercepts) which explicitly allow for the presence of (unknown) nuisance parameter in the stable error distribution are derived. The methods proposed are applied to monthly returns on 12 portfolios of the New York Stock Exchange over the period 1926-1995 (5 year subperiods). We find that stable possibly skewed distributions provide statistically significant improvement in goodness-of-fit and lead to fewer rejections of the efficiency hypothesis.

Von Neumann-Morgenstern Stable Sets in Matching Problems

The following properties of the core of a one well-known: (i) the core is non-empty; (ii) the core is a lattice; and (iii) the set of unmatched agents is identical for any two matchings belonging to the core. The literature on two-sided matching focuses almost exclusively on the core and studies extensively its properties. Our main result is the following characterization of (von Neumann-Morgenstern) stable sets in one-to-one matching problem only if it is a maximal set satisfying the following properties : (a) the core is a subset of the set; (b) the set is a lattice; (c) the set of unmatched agents is identical for any two matchings belonging to the set. Furthermore, a set is a stable set if it is the unique maximal set satisfying properties (a), (b) and (c). We also show that our main result does not extend from one-to-one matching problems to many-to-one matching problems.

L’arrêt Baker : Le rôle des règles administratives dans la réception du droit international des droits de la personne en droit interne

Un résumé en anglais est également disponible.

Les représentations de la pluriethnicité québécoise dans le Mouvement Desjardins: analyse du contenu de la Revue Desjardins de 1998 à 2005

Le Mouvement Desjardins, institution phare du Québec moderne caractérisé par un nationalisme civique et une intégration accrue des immigrants à la majorité francophone, demeure encore aujourd'hui, fortement identifié à ce même groupe. Ce mémoire a pour objet les représentations sociales de la pluriethnicité québécoise chez Desjardins. Une analyse du contenu de la Revue Desjardins de 1998 à 2005 permet de saisir le discours ainsi qu'un point de rupture spatio-temporel établi à l'année 2003, année où l'espace du discours s'élargit pour y inclure l'ouest de l'île de Montréal majoritairement anglophone. D'abord axée sur l'intégration au Mouvement et à la société québécoise dans le souci d'une plus grande représentativité de la population, l'institution passe à une orientation davantage pluraliste favorisant son adaptation à des marchés potentiellement lucratifs. Les catégories linguistiques «anglophone» et «allophone» sont alors davantage utilisées pour aborder l'enjeu pluriethnique banalisant ainsi la spécificité des groupes ethniques qui les composent. Alors que la première période est surtout caractérisée par des perceptions et des orientations générales, l'ouverture en 2003 d'un centre de service destiné à la clientèle allophone et anglophone de l'ouest de l'île constitue l'aboutissement d'un processus de représentation sociale ayant pour fonction l'orientation des pratiques. L'ensemble du discours est nuancé par des obstacles à l'adaptation à la pluriethnicité ainsi que des lacunes internes à l'institution. La concept d'ethnicité est peu utilisé et souvent abordé sous le terme «communauté culturelle» qui peut englober des communautés de nature autre qu'ethnique et qui réduit l'ethnicité à sa seule dimension culturelle. Il omet également de considérer les membres d'un groupe ethnique qui ne s'identifient pas à la communauté. En conclusion, l'étude permet de confirmer l'existence d'un discours sur la pluriethnicité québécoise maintenant bien ancré chez Desjardins et davantage orienté vers l'adaptation de l'institution en offrant des services en anglais et dans d'autres langues.

Arbitrage-Based Pricing when Volatility is Stochastic.

The paper investigates the pricing of derivative securities with calendar-time maturities.

Stochastic Volatility.

This paper prepared for the Handbook of Statistics (Vol.14: Statistical Methods in Finance), surveys the subject of stochastic volatility. the following subjects are covered: volatility in financial markets (instantaneous volatility of asset returns, implied volatilities in option prices and related stylized facts), statistical modelling in discrete and continuous time and, finally, statistical inference (methods of moments, quasi-maximum likelihood, likelihood-based and bayesian methods and indirect inference).

Actifs financiers et theorie de la consommation.

Dans cet article, pour etendre la theorie du consommateur a ses choix d'epargne et de placements, on utilise a la fois la theorie usuelle, celle des caracteristiques et celle du raisonnement quantitatif. on en deduit un systeme complet de demandes comprenant simultanement les quantites de biens et de services physiques, les quantites d'actifs financiers et les prix des actifs contingents elementaires eventuels.