Edgeworth rejective core and dividends equilibria of satiated exchange economies

For an exchange economy, under assumptions which did not bring about the existence of equilibrium with dividends as yet, we prove the non-emptiness of the Edgeworth rejective core. Then, via  and ’s decentralization result, we solve the equilibrium with dividends existence problem. Adding to the same assumptions a weak non-satiation condition which differs from the weak non-satiation assumption introduced by Allouch and Le Van (2009), we show in the last section the existence of a Walrasian quasiequilibrium. This result, which fits with exchange economies whose consumers’ utility functions are not assumed to be upper semicontinuous, complements the one obtained by Martins-da-Rocha and Monteiro (2009).     

Unbounded exchange economies with satiation: How far can we go?

We unify and generalize the existence results in Werner [Werner, J., 1987. Arbitrage and the existence of competitive equilibrium. Econometrica 55 (6), 1403–1418], Dana et al. [Dana, R.-A., Le Van, C., Magnien, F., 1999. On the different notions of arbitrage and existence of equilibrium. Journal of Economic Theory 87 (1), 169–193], Allouch et al. [Allouch, N., Le Van, C., Page Jr., F.H., 2006. Arbitrage and equilibrium in unbounded exchange economies with satiation. Journal of Mathematical Economics 42 (6), 661–674], Allouch and Le Van [Allouch, N., Le Van, C., 2008. Erratum to “Walras and dividends equilibrium with possibly satiated consumers”. Journal of Mathematical Economics 45 (3–4), 320–328]. We also show that, in terms of weakening the set of assumptions, we cannot go too far.     

Erratum to “Walras and dividends equilibrium with possibly satiated consumers”

The main contribution of the paper is to provide a weaker nonsatiation assumption than the one commonly used in the literature to ensure the existence of competitive equilibrium. Our assumption allows for satiation points in the set of individually feasible consumptions, provided that the consumer has satiation points available to him outside this set. As a result, we show the concept of equilibrium with dividends (see Aumann, R.J., Drèze, J.H., 1986. Values of markets with satiation or fixed prices. Econometrica 54, 1271–1318; Mas-Collel, A., 1992. Equilibrium theory with possibly satiated preferences. In: Majumdar, M. (Ed.), Equilibrium and Dynamics: Proceedings of the Essays in Honour of David Gale. MacMillan, London, pp. 201–213) is pertinent only when the set of satiation points is included in the set of individually feasible consumptions. Our economic motivation stems from the fact that in decentralized markets, increasing the incomes of consumers through dividends, if it is possible, is costly since it involves the intervention of a social planner. Then, we show, in particular, how in securities markets our weak nonsatiation assumption is satisfied by Werner’s (1987) assumption.     

On Markov error‐correction models,with an application to stock prices and dividends

This paper considers Markov error‐correction (MEC) models in which deviations from the long‐run equilibrium are characterized by different rates of adjustment. To motivate our analysis and illustrate the various issues involved, our discussion is structured around the analysis of the long‐run properties of US stock prices and dividends. It is shown that the MEC model is flexible enough to account for situations where deviations from the long‐run equilibrium are nonstationary in one of the states of nature and allows us to test for such a possibility. An empirical specification procedure to establish the existence of MEC adjustment in practice is also presented. This is based on a multi‐step test procedure that exploits the differences between the global and local characteristics of systems with MEC adjustment. Copyright © 2004 John Wiley & Sons, Ltd.     

Stochastic equilibria of an asset pricing model with heterogeneous beliefs and random dividends

We investigate dynamical properties of a heterogeneous agent model with random dividends and further study the relationship between dynamical properties of the random model and those of the corresponding deterministic skeleton, which is obtained by setting the random dividends as their constant mean value. Based on our recent mathematical results, we prove the existence and stability of random fixed points as the perturbation intensity of random dividends is sufficiently small. Furthermore, we prove that the random fixed points converge almost surely to the corresponding fixed points of the deterministic skeleton as the perturbation intensity tends to zero. Moreover, simulations suggest similar behaviors in the case of more complicated attractors. Therefore, the corresponding deterministic skeleton is a good approximation of the random model with sufficiently small random perturbations of dividends. Given that dividends in real markets are generally very low, it is reasonable and significant to some extent to study the effects of heterogeneous agents’ behaviors on price fluctuations by the corresponding deterministic skeleton of the random model.     

Signalling,financial hierarchy and agency theory as explanations for dividend behaviour: Evidence from Italian firm data

Starting from the traditional Lintner model, an asymmetric model of dividend behaviour is derived. It allows both the speed of adjustment and the desired pay-out structural parameters to vary according to firm- and time-specific economic conditions. The model is then tested on a sample of large Italian quoted and non-quoted firms. The main result of the econometric testing is that managers adjust more quickly when they have to reduce dividends than when they have to increase them. This finding is not consistent with the traditional view that firms are more reluctant to reduce than to increase dividends because of signalling problems. It is, however, consistent with the existence of a financial hierarchy. If internal sources of funds are cheaper managers will rationally adjust relatively quickly when they have to reduce dividends in order not to cut investment and will adjust relatively slowly when they have to increase them in order to build financial slack. One further interesting result observed is that quoted firms are found to fix a higher pay-out ratio than non-quoted firms.     

Pricing of the time-change risks

We develop an equilibrium endowment economy with Epstein-Zin recursive utility and a Lévy time-change subordinator, which represents a clock that connects business and calendar time. Our setup provides a tractable equilibrium framework for pricing non-Gaussian jump-like risks induced by the time-change, with closed-form solutions for asset prices. Persistence of the time-change shocks leads to predictability of consumption and dividends and time-variation in asset prices and risk premia in calendar time. In numerical calibrations, we show that the risk compensation for Lévy risks accounts for about one-third of the overall equity premium.     

An equilibrium model of insider trading in continuous time

We study a Bayesian–Nash equilibrium model of insider trading in continuous time. The supply of the risky asset is assumed to be stochastic. This supply can be interpreted as noise from nonrational traders (noise traders). A rational informed investor (the insider) has private information on the growth rate of the dividend flow rewarded by the risky asset. She is risk averse and maximizes her inter-temporal utility rate over an infinite time-horizon. The market is cleared by a risk neutral market maker who sets the price of the risky asset competitively as the conditional present value of future dividends, given the information supplied by the dividend history and the cumulative order flow. Due to the presence of noise traders, the market demand does not fully reveal the insider’s private information, which slowly becomes incorporated in prices. An interesting result of the paper is that a nonstandard linear filtering procedure gives an a priori form for the equilibrium strategy to be postulated. We show the existence of a stationary linear equilibrium where the insider acts strategically by taking advantage of the camouflage provided by the noise which affects the market maker’s estimates on private information. In this equilibrium, we find that the insider’s returns on the stock are uncorrelated over long periods of time. Finally, we show that the instantaneous variance of the price under asymmetric information lies between the instantaneous variance of the price under complete and incomplete information. The converse inequalities hold true for the unconditional variance of the price.     

基于股利偏好角度的证券市场协整关系研究

运用协整分析方法对混合股利投资组合指数、现金股利投资组合指数、无股利投资组合指数三类指数与上证指数之间的长期均衡关系进行分析，并利用误差修正模型对三类指数从短期偏离向长期均衡恢复的动态调整速度进行检验，研究结果显示：具备市场偏好的混合股利投资组合指数与上证指数之间的协整关系最弱，从短期偏离向长期均衡修复的时间最长；不具备市场偏好的现金股利投资组合指数与上证指数之间的协整关系最强，从短期偏离向长期均衡修复的时间最短；不具备市场偏好的无股利投资组合指数与上证指数之间的协整关系较强，从短期偏离向长期均衡修复的时间较短。     

Learning from experience in the stock market

New evidence suggests that individuals “learn from experience,” meaning they learn from events occurring during their lives as opposed to the entire history of events. Moreover, they weigh more heavily recent events compared to events occurring in the distant past. This paper analyzes the implications of such learning for stock pricing in a model with finitely lived agents. Individuals learn about the rate of change of the stock price and of dividends using a weighted decreasing-gain algorithm. As a result of waves of optimism and pessimism, the stock price exhibits stochastic fluctuations around the rational expectations equilibrium. Conditional on the historical path of dividends, the model produces a price–dividend ratio which is in line with the evidence for the last century, except for the “dot-com” bubble in the 1990s.     

Dividend growth, stock valuation, and long-run risk

In this paper, we integrate the long-run concept of risk into the stock valuation process. We use the intertemporal consumption capital asset pricing model to demonstrate that a stock’s long-run dividend growth is negatively related to its current dividend-price ratio and positively related to its long-run covariance between dividends and consumption. Then, we show that the equilibrium price of a stock is determined by its current dividend, long-run dividend growth, and long-run risk. In all, our work suggests that risk cumulated over many periods represents an important parameter in assessing the theoretical value of a firm.     

Competitive General Equilibrium with network externalities

We identify sufficient conditions for existence of competitive equilibrium with network externalities and indivisibilities. Such combination of externalities and indivisibilities is present in many goods and services with network effects, and it makes existence of equilibrium non-trivial. We provide an existence theorem in a model with a measure space of consumers. Key conditions for existence are anonymity of network effects and dispersion in the economy’s income distribution.     

Existence of a competitive equilibrium in the Lucas (1988) model without physical capital

This paper considers an endogenous growth model with human capital accumulation. It gives sufficient conditions and a necessary condition for the existence of a unique competitive equilibrium with externalities. These conditions are more stringent than those which prevail for the existence of an equilibrium defined as the solution to a fixed-point problem.     

Financial intermediation in an overlapping generations model with transaction costs

We analyze an overlapping generations economy where agents interact to share liquidity risk. We show that a pure exchange economy has excessive trade in equilibrium because agents interact to rebalance their portfolios. Intergenerational financial intermediaries reduce the number of interactions because agents only transact when they face liquidity needs. In the absence of asset risk, intermediaries match redemptions with deposits and dividends, and never sell assets. If the economy is subject to transaction costs, the intermediated economy can sustain higher stationary investment and welfare. We also find that dead weight transaction costs can increase welfare because it protects banks from interbank arbitrage and dampens the inherent cyclicality of market economies.     

On the behavior of commodity prices when speculative storage is bounded

This paper investigates the implications of bounded speculative storage, storage bounded from below at zero and above at a capacity, on commodity prices. Binding capacity mirrors the non-negativity constraint on storage and leads to negative price spiking and higher volatility when the market is in deep contango, i.e. low current prices at high stock levels. With bounded storage there is no need to restrict storage to be costly to ensure a rational expectations equilibrium. This allows the model to cover a wide range of storage technologies, including free and productive storage. We also provide an alternative expression for speculative prices that highlights the key role of the storage boundaries. The competitive equilibrium price is the sum of discounted future probability weighted boundary prices. The boundary prices can be viewed as dividends on commodities in storage reflecting the realization of economic profits from storage.     

Is corporate payout taxation a long run phenomenon? Evidence from international data

This paper examines whether dividend and capital gains taxation influences corporate payout policy using the country level data of 21 countries in panel versions of time series models. We find that dividend relative to capital gains tax penalty is cointegrated with corporate payouts (dividends and share repurchases) i.e. corporate payout taxation may be a long run phenomenon. Further, the cointegrating vector estimates are largely consistent with the traditional view of dividend taxation whereby the tax penalty discourages dividends, while the estimates give limited support to the premise that firms substitute dividends for share repurchases in response to an increase in dividend tax penalty. Long run causality also operates between the tax penalty and payouts in the error correction models. Additionally, dividend tax appears to be more influential than capital gains tax on dividend payout decisions. Lastly, taxation affects dividends more significantly in countries with high investor protection.     

卖空管制放松与上市公司现金股利：促进还是抑制？

基于2006—2020年中国A股上市公司的数据,验证卖空管制放松对上市公司现金股利分配的影响。研究发现,相比于不可卖空的公司,可卖空公司在被列入卖空标的后,其现金股利分配意愿、分配规模与分配平稳性均显著提升。机制检验发现,卖空管制放松对现金股利分配的促进在代理问题严重、投资机会少的公司中更显著,这支持了代理成本机制;同时,在信号传递能力强、信号传递需求大的公司中,卖空管制放松对现金股利分配的促进更显著,这支持了信号传递机制。进一步分析发现,现金股利分配能力不足的公司在应对卖空压力时并未使用“高送转”作为替代。而对于我国资本市场中广泛存在的达标式分配,卖空管制放松能够产生抑制作用,且抑制作用体现在没有再融资需求的公司中。研究表明,卖空管制放松促进了上市公司现金股利分配,卖空机制能够为我国资本市场中的现金股利监管提供市场化路径。     

Currency magnitude and cognitive biases: Evidence of dividend rounding in Latin America

In this article, we contribute to a branch of literature that examines cognitive biases that influence corporate decision making. We examine whether Latin American firms round their dividend distributions based on a managerial heaping heuristic. Heaping is a bias to round numbers even though precise results are desired. Our study focuses on dividends in four Latin American markets with starkly different currency magnitudes. We hypothesize and report that currency magnitude significantly influences the characteristics of rounding observed in the dividend data. From 1990 through 2018, we report that 57% of Colombian dividends are heaped to a one decimal place or less of the local currency. The proportions are 49% for Chilean dividends, but only 11% for Mexican dividends and 2% for Brazilian dividends respectively. Consistent with the prior literature, we also report that the likelihood of heaping of dividends in each country is significantly related to both dividend size, and to the level of information uncertainty faced by firm management.     

Equilibria without the survival assumption

It is well known that an equilibrium in the Arrow–Debreu model may fail to exist if a very restrictive condition called the survival assumption is not satisfied. We study two approaches that allow for the relaxation of this condition. Danilov and Sotskov [Danilov, V.I., Sotskov, A.I., 1990. A generalized economic equilibrium. Journal of Mathematical Economics 19, 341–356], and Florig [Florig, M., 2001. Hierarchic competitive equilibria. Journal of Mathematical Economics 35, 515–546] developed a concept of a generalized equilibrium based on a notion of hierarchic prices. Marakulin [Marakulin, V., 1988. An equilibrium with nonstandard prices and its properties in mathematical models of economy. Discussion Paper No. 18. Institute of Mathematics, Siberian Branch of the USSR Academy of Sciences, Novosibirsk, 51 pp. (in Russian); Marakulin, V., 1990. Equilibrium with nonstandard prices in exchange economies. In: Quandt, R., Triska, D. (Eds.), Optimal Decisions in Market and Planned Economies. Westview Press, London, pp. 268–282] proposed a concept of an equilibrium with non-standard prices. In this paper, we establish the equivalence between non-standard and hierarchic equilibria. Furthermore, we show that for any specified system of dividends the set of such equilibria is generically finite. As a consequence, we have generic finiteness of Mas-Colell’s equilibria with slack, uniform dividend equilibria, and other special cases of our concept.     

A simple proof of the existence of an equilibrium when the weak axiom holds

An elementary proof of the existence of a competitive equilibrium is given for economies where the weak axiom holds. It is shown by an induction argument on the number of goods that the problem is reduced to the question of the existence of an equilibrium in a two-good economy.