On the impact of leverage constraints on asset prices and trading volume

Abstract. Researchers have used stylized facts on asset prices and trading volume in stock markets (in particular, the mean reversion of asset returns and the correlations between trading volume, price changes and price levels) to support theories where agents are not rational expected utility maximizers. This paper shows that this empirical evidence is in fact consistent with a standard infinite horizon – perfect information – expected utility economy where some agents face leverage constraints similar to those found in todays financial markets. In addition, and in sharp contrast to the theories above, we explain some qualitative differences that are observed in the price-volume relation on stock and on futures markets. We consider a continuous-time economy where agents maximize the integral of their discounted utility from consumption under both budget and leverage constraints. Building on the work by Vila and Zariphopoulou (1997), we find a closed form solution, up to a negative constant, for the equilibrium prices and demands in the region of the state space where the constraint is non-binding. We show that, at the equilibrium, stock holdings volatility as well as its ratio to stock price volatility are increasing functions of the stock price and interpret this finding in terms of the price-volume relation. We would like to thank the editor and two anonimous referees for valuable substantive comments. Our gratitude also to Franklin Allen, Kerry Back, Domenico Cuoco, Xavier Freixas, Sanford Grossman, Michel Habib, Lutz Hendricks, Richard Kihlstrom, Fernando Restoy, Mary Thomson, Jean-Luc Vila, participants to seminars at Birkbeck College, Carnegie-Mellon, Columbia, ESSEC, HEC, IAE, INSEAD, London Business School, London School of Economics, McGill, Michigan, National University of Singapore, Pompeu Fabra, North Carolina, Washington-St-Louis, Wharton, the Jornadas de Economía Financiera BBV, and the Meetings of the Society for Economic Dynamics and Control and the American Finance Association. Special thanks are due to Süleyman Basak for his enthusiastic support and many helpful suggestions. The usual disclaimer applies. We gratefully acknowledge the support of the BBV and Caja de Madrid Foundations and CREF (both authors) and of the Spanish Ministry of Education under DGICYT grant no. PB93-0388 (first author).     

Discrepancies between ex ante and ex post efficiency under identical subjective probabilities

Summary. Starr (1973) showed that, if people have different subjective probabilities, ex ante and ex post efficiency conflict. Conversely, under the simple preferences that he considered, the discrepancy between ex ante and ex post efficiency disappears when subjective probabilities are identical. Here I consider identical subjective probabilities, but more general preferences. First, risk attraction is admitted. Second, I dispense with the double requirement (dubbed IZU) of additive separability and state-independence of the utility of zero-date consumption, an unrealistic requirement when modeling the investment in durable goods. I find that, under IZU, and as long as ex post preferences satisfy the natural assumption of quasiconcavity (and satisfy some technical qualifications), an ex ante efficient allocation is indeed ex post efficient, but the converse is not necessarily true under risk attraction. If, on the other hand, IZU is violated, then one can have ex ante efficient allocations that are not ex post efficient, and vice-versa, even under risk aversion. Received: June 25, 1999; revised version: March 2001     

The Nonparametric Approach to Applied Welfare Analysis

Changes in total surplus are traditional measures of economic welfare. We propose necessary and sufficient conditions for rationalizing individual and aggregate consumer demand data with individual quasilinear and homothetic utility functions. Under these conditions, consumer surplus is a valid measure of consumer welfare. For nonmarketed goods, we propose necessary and sufficient conditions on input market data for efficient production, i.e. production at minimum cost. Under these conditions we derive a cost function for the nonmarketed good, where producer surplus is the area above the marginal cost curve. We are greatful to helpful remarks and comments of the referees and the editor. The work is partially supported by the Spanish Ministry of Science and Technology, through Grant BEC2002-2130, the Generalitat de Catlaunya, through Grant 2005SGR-00454 and the Barcelona Economics Program (CREA).     

Rock Paper Scissors

Rock Paper Scissors is used to resolve conflict when a compromise is not possible. Individuals playing ``games' tend to have biases they prefer to play. I show that Rock Paper Scissors with biased players results in a player with a high valuation for winning being victorious with a probability greater than a player with a low valuation. Thus, it frequently achieves the efficient outcome. Furthermore, as the benefit to victory increases for all players, victory for each player becomes equally likely. Therefore, it is often efficient for minor conflicts while it performs no better than a coin-flip for major conflicts.      

Pricing access in network competition

We compare various access pricing rules in the two-way access model. We show that the Generalized Efficient Component Pricing Rule (TECPR) leads to a lower equilibrium price than does the Efficient Component Pricing Rule, (ECPR) marginal cost pricing, (MCP) and any non-negative fixed access charges.      

Forcing Firms to Think About the Future: Economic Incentives and the Fate of Hazardous Waste

What is the cost of off-site hazardous waste disposal? In addition to paying for disposal fees and shipments costs, generators of hazardous waste can potentially be held liable for the cost of cleanup if the waste disposal site contaminates the environment after closure or abandonment and thus falls under the federal or state Superfund legislation. This paper empirically examines the sensitivity of individual hazardous waste generators to these categories of costs, exploiting the variation across states in factors influencing disposal costs, and in the structure of the liability imposed on waste generators under certain circumstances by state laws. We fit nested logit models to predict the waste management method (incineration or landfill disposal) and the state of destination for shipments of halogenated solvent waste used for metal cleaning in manufacturing and reported in the Toxic Release Inventory in 1988–1990. Waste generators respond to transportation costs and to proxies for current disposal costs. Generators also find the concurrent presence of strict and joint-and-several liability a deterrent, but this deterrent effect does not vary with the wealth of the firm or the volume of the waste shipped.     

Specialisation,localisation, and trade value in the wake of cross-border production sharing. The Central Eastern European Countries' case

We focus on five among the sectors in which most of the CEECs’ trade in middle products with EU-15 is concentrated. Over the second half of the 1990s, we observe remarkable changes in both production and trade specialization as well as a significant relocation of industries within CEECs. Using jointly trade and production data we outline co-movements in the adjustment of specialisation patterns. We also show that the redistribution of activities at the regional level reflects the relocation of industries at the global level. Finally, we try to detect the scope of fragmentation of production characterizing each industry and the ways in which CEECs are moving along the “internationally sliced-up value chain”. (JEL: F10, F14, F15)     

On the evolutionary edge of altruism: a game-theoretic proof of Hamilton’s rule for a simple case of siblings

We offer a game-theoretic proof of Hamiltons rule for the spread of altruism. For a simple case of siblings, we show that the rule can be derived as the outcome of a one-shot prisoners dilemma game between siblings.JEL Classification: A13, C70, D64Correspondence to: Oded Stark, ZEF, University of Bonn, Walter-Flex-Strasse 3, 53113 Bonn, GermanyWe are indebted to an anonymous referee and to Uwe Cantner for helpful comments and suggestions. Partial financial support from the National Institute on Aging (grant RO1-AG13037) and from the Humboldt Foundation is gratefully acknowledged.     

Diffusion and Innovation of New Technologies under Skill Heterogeneity

This article presents a model of innovation and diffusion of machines which embody a new technology. Users of the machines are heterogenous in their skill level. Skilled machine-users adopt new machines first, while unskilled users wait until machines become more user-friendly and reliable. The improvement of machines is the engine of diffusion, and it is carried out by the monopolist machine producer. The speed of diffusion is affected by the skill distribution in the economy. At any point in time, the machine producer can innovate a new generation of machines. The timing of innovation is also influenced by the skill distribution.