AN ASSESSMENT OF THE RISK AND RETURN OF FRENCH COMMON STOCKS

In this paper the relationship is examined between the average return and the risk of a sample of 144 French common stocks which traded continuously over the decade 1969–1979. Although it was found that a negative relationship existed between average return and systematic risk, sufficient evidence could not be gathered to reject the hypothesis that the pricing of French common stocks conforms to the Capital Asset Pricing Model. The nature and implications of the observed negative risk-return trade-off are discussed.     

Rules of proof,courts, and incentives

We analyze the design of legal principles and procedures for court decision making in civil litigation. The objective is the provision of incentives for potential tort‐feasors to exert care when evidence is imperfect and may be distorted by the parties. Efficiency is consistent with courts adjudicating on the basis of the preponderance of evidence standard together with common law exclusionary rules. Inefficient equilibria may nevertheless also arise under these rules. Burden of proof guidelines are then useful as a coordination device. Alternatively, guidelines are unnecessary if courts are allowed a more active or inquisitorial role in contrast to that of passive adjudicator.     

Neyman type A distribution revisited

The modality structure of the Neyman type A distribution is examined. The results obtained add to those previously stated in Barton (1957) (or in Johnson et al. (1992, p. 370) ) and in Shenton and Bowman (1967) . Strong unimodality of this distribution is also considered. Problem 328 in Statistica Neerlandica ( Theodorescu (1997) ) and its solution ( Borwein (2000) ) play an important part.     

Household behavior and individual autonomy: an extended Lindahl mechanism

We present a comprehensive model of household economic decision covering both full cooperation and noncooperation as well as semi-cooperative cases, varying with income distribution and a parameter vector $\theta $ representing degrees of individual autonomy with respect to the public goods. In this model, the concept of “household $\theta $ -equilibrium” is introduced through the reformulation of the Lindahl equilibrium for Nash implementation and its extension to semi-cooperation. Existence is proved and some generic properties derived. An example is given to illustrate. An important benefit of this approach is to allow for a compact and unified investigation of the testable (local) restrictions of household demand. A particular decomposition of the pseudo-Slutsky matrix is derived and the testability of the various models discussed.     

Generalized time-invariant overtaking

We present a new version of the overtaking criterion, which we call generalized time-invariant overtaking. The generalized time-invariant overtaking criterion (on the space of infinite utility streams) is defined by extending proliferating sequences of complete and transitive binary relations defined on finite dimensional spaces. The paper presents a general approach that can be specialized to at least two, extensively researched examples, the utilitarian and the leximin orderings on a finite dimensional Euclidean space.     

Multivariate residual‐based finite‐sample tests for serial dependence and ARCH effects with applications to asset pricing models

In this paper, we propose several finite‐sample specification tests for multivariate linear regressions (MLR). We focus on tests for serial dependence and ARCH effects with possibly non‐Gaussian errors. The tests are based on properly standardized multivariate residuals to ensure invariance to error covariances. The procedures proposed provide: (i) exact variants of standard multivariate portmanteau tests for serial correlation as well as ARCH effects, and (ii) exact versions of the diagnostics presented by Shanken ( 1990 ) which are based on combining univariate specification tests. Specifically, we combine tests across equations using a Monte Carlo (MC) test method so that Bonferroni‐type bounds can be avoided. The procedures considered are evaluated in a simulation experiment: the latter shows that standard asymptotic procedures suffer from serious size problems, while the MC tests suggested display excellent size and power properties, even when the sample size is small relative to the number of equations, with normal or Student‐t errors. The tests proposed are applied to the Fama–French three‐factor model. Our findings suggest that the i.i.d. error assumption provides an acceptable working framework once we allow for non‐Gaussian errors within 5‐year sub‐periods, whereas temporal instabilities clearly plague the full‐sample dataset. Copyright © 2009 John Wiley & Sons, Ltd.     

Least squares estimator for regression models with some deterministic time varying parameters

Here we study the least squares estimates in some regression models. We assume that the evolution of the parameter is linearly explosive (i.e. polynomial), or stable (i.e. sinusoidal). We prove the strong consistency, and establish the rate of convergence.