Spanning tests in return and stochastic discount factor mean-variance frontiers: A unifying approach

We propose new spanning tests that assess if the initial and additional assets share theeconomically meaningful cost and mean representing portfolios. We prove their asymptoticequivalence to existing tests under local alternatives. We also show that unlike two-step oriterated procedures, single-step methods such as continuously updated GMM yield numericallyidentical overidentifyng restrictions tests, so there is arguably a single spanning test.To prove these results, we extend optimal GMM inference to deal with singularities in thelong run second moment matrix of the influence functions. Finally, we test for spanningusing size and book-to-market sorted US stock portfolios.

Markups, gaps and the welfare costs of business fluctuations

In this paper we present a simple theory-based measure of the variations in aggregate economic efficiency: the gap between the marginal product of labor and the household s consumption/leisure tradeoff. We show that this indicator corresponds to the inverse of the markup of price over social marginal cost, and give some evidence in support of this interpretation. We then show that, with some auxilliary assumptions our gap variable may be used to measure the efficiency costs of business fluctuations. We find that the latter costs are modest on average. However, to the extent the flexible price equilibrium is distorted,the gross efficiency losses from recessions and gains from booms may be large. Indeed, we find that the major recessions involved large efficiency losses. These results hold for reasonable parameterizations of the Frisch elasticity of labor supply, the coefficient of relative risk aversion, and steady state distortions.

On the concept of optimality interval

The approximants to regular continued fractions constitute `best approximations' to the numbers they converge to in two ways known as of the first and the second kind.This property of continued fractions provides a solution to Gosper's problem of the batting average: if the batting average of a baseball player is 0.334, what is the minimum number of times he has been at bat? In this paper, we tackle somehow the inverse question: given a rational number P/Q, what is the set of all numbers for which P/Q is a `best approximation' of one or the other kind? We prove that inboth cases these `Optimality Sets' are intervals and we give aprecise description of their endpoints.

La zonación estructural del hercínico del Pirineo Central en el anticlinorio de la Pallaresa

The Pyrenees are an alpine chain with hercynian basement rocks that outcrop in a large area called the Axial Zone. These rocks have been involved in the alpine deformation events although their main structural features resulted from the Hercynian orogeny. A relevant characteristic of the Hercynian basement is a change in structural style in depth which has been commonly studied and interpreted in the Pallaresa Anticlinorium, in the Central Pyrenees. This anticlinorium is a complex hercynian structural unit whose southern part belongs to the suprastructure whereas the northern part corresponds mostly to a transition zone between the infrastructure and the suprastructure. Rocks of the suprastructure show a steeply dipping slaty cleavage as the dominant structure, which is overprinting folds and thrusts rarely going with pervasive deformation. The transition zone results from a slaty cleavage, very often close to the bedding, overprinted by one or two steep crenulation cleavages. A gradual boundary exists between both structural levels and it can be observed that the deformation developing slaty cleavage in the suprastructure grades to a crenulation foliation in the transition zone. The gradual character of that boundary, as seen in the northern end of the transition zone, suggests that the southern sharp boundary is not original. That boundary is interpreted as a northward dipping inverse fault, possibly with Alpine age. That fault causes a relative uplift of the rocks of the transition zone and gives this sharp boundary with the suprastructural levels. It provokes the asymmetry in the Pallaresa anticlinorium