Regularity and Pareto improving on financial equilibria with price-dependent borrowing restrictions

We consider a pure exchange, general equilibrium model, with two periods and a finite number of states, commodities, numeraire assets, and households. Participation in the asset markets is restricted in a household specific manner, imposing upper bounds on the amounts of borrowing which can be obtained using assets. Those bounds are assumed to depend on asset and commodity prices. After establishing existence of equilibria, we show that, generically in the set of the economies, equilibria are finite and regular. Then, we restrict our attention to the significant set of economies in which some associated equilibria exhibit a sufficiently high number of strictly binding participation constraints. We prove that, generically in that set, those equilibria are Pareto improvable through a local change of the participation constraints.     

On trees and logs

In this paper we contrast the main workhorse model in asset pricing theory, the Lucas (1978) tree model (LT-Model), to a benchmark model in financial equilibrium theory, the real assets model (RA-Model). It is commonly believed that the two models entail similar conclusions since the LT-Model is a special case of the RA-Model. But this is simply wrong: implications of these models can be strikingly at odds. Indeed, under the widely used log-linear specification of households’ preferences, we show that for a large set of initial endowments the LT-Model—even with potentially complete financial markets—admits only peculiar financial equilibria in which the stock market is completely degenerate, in that all stocks offer the same investment opportunity—and yet, allocation is Pareto optimal. We investigate why the LT-Model is so much at variance with the RA-Model, and uncover new results on uniqueness of financial equilibria and introduction of portfolio constraints obtaining in the LT-Model, but not in the RA-Model.     

Robust Volatility Estimation with and Without the Drift Parameter

We find the closed form solution for the joint probability of the running maximum and the drawdown of the Brownian motion with a non-zero drift parameter at a random time that is exponentially distributed and independent of the Brownian motion. This characterization leads us to come up with a robust method of estimating volatility using open, high, low and closing prices. We rigorously show the independence of robust volatility estimators based on extreme values of asset prices relative to the standard robust volatility estimator based on closing price alone. We further prove that the proposed robust volatility ratio is unbiased with no drift parameter. Moreover, we find that the robust volatility ratio with a non-zero drift parameter has only a second order effect. We have shown that our proposed extreme value robust volatility estimator is 2–3 times relatively more efficient when compared to the classical robust volatility estimator based on Monte Carlo simulation experiment. On the empirical side, we test the proposed robust volatility ratio based on high and low prices on different asset classes like stock indices, exchange rate and precious metals.

     

Collateral fluctuations in a monetary economy

This paper studies economy-wide fluctuations that occur endogenously in the presence of monetary and real assets. Using a standard monetary search model, we consider an economy in which agents can increase consumption, over and above what their liquid monetary asset holdings would allow, pledging real assets as collateral for monetary loans. It is shown that, if the liquidation value of real assets is below full market value, a stable cyclical equilibrium can emerge in consumption and capital around the unstable steady state. We also provide conditions for the existence of cycles of higher order, chaos and sunspot equilibria.     

Capital market imperfections in a monetary growth model

Summary. We consider a monetary growth model essentially identical to that of Diamond (1965) and Tirole (1985), except that we explicitly model credit markets, a credit market friction, and an allocative function for financial intermediaries. These changes yield substantially different results than those obtained in more standard models. In particular, if any monetary steady state equilibria exist, there are generally two of them; one of these has a low capital stock and output level, and it is necessarily a saddle. The other steady state has a high capital stock and output level; either it is necessarily a sink, or its stability properties depend on the rate of money creation. It follows that monetary equilibria can be indeterminate, and nonconvergence phenomena can be observed. Increases in the rate of money creation reduce the capital stock in the high-capital-stock steady state. If the high-capital-stock steady state is not a sink for all rates of money growth, then increases in the rate of money growth can induce a Hopf bifurcation. Hence dynamical equilibria can display damped oscillation as a steady state equilibrium is approached, and limit cycles can be observed as well. In addition, in the latter case, high enough rates of inflation induce the kinds of “crises” noted by Bruno and Easterly (1995): when inflation is too high there are no equilibrium paths approaching the high-activity steady state. Received: November 18, 1995; revised version: March 26, 1996     

Financial constraints and unemployment equilibrium

The aim of this paper is to show that a robust determination of unemployment equilibria can be based on the integration of credit rationing into a general equilibrium model. We first review some of the Keynesian macroeconomic models. We show that the problems bequeathed by Keynes’ legacy are only partially solved by the strand of the new Keynesian economics based on market imperfections and endogenous rigidities. In order to overcome these problems we refer to credit rationing. In particular, we build a simple general equilibrium model in which prices are–in principle–perfectly flexible and credit rationing implies unemployment equilibria.     

Uniform testing and portfolio strategies for single and multifactor asset pricing models in the Pacific Basin markets

We test and implement portfolio strategies for three major asset pricing models, under uniform diagnostic measures using the PACAP data set containing all current listing and de-listing of firms for the local stock exchange in several Pacific Basin countries. Compared to the often used MSCI database that include only a subset of the (large) firms in the local markets, the more complete coverage of our database allows for more robust testing of current multifactor asset pricing models since the possible effects of additional factors such as size and book to market may not show up correctly using less comprehensive data sets. Our data set also provides a natural packet of nonUS data for addressing the issue of whether the results of recent asset pricing research are sample specific. Our overall results provide multi-country (sample nonspecific) support for the additional asset pricing risk factors of the Fama-French three-factor model but not for the momentum factor of the Carhart model. We additionally find that the size risk factor is more prominent than value risk factor in the Pacific Basin markets. Finally, we find strong evidence that portfolio strategies implemented to capture value and size effects are profitable in the Pacific Basin stock markets.     

Money,national debt,and economic growth

This paper develops a dynamic model which allows for government spending, taxation, and the endogeneity of the money supply. As an example of an application of our framework, we consider the well known stability problem of the two asset (money and physical assets) neoclassical “money-and-growth” literature. We conclude, among other things, that the usual saddle-point instability result under myopic perfect foresight with proportional savings behavior can be reversed by introducing a third asset (securities). It is further argued that this result is “robust” as it holds under various policy rules (including the traditional case of national debt growing at a constant rate).     

The Impact of U.S. Individual and Institutional Investor Sentiment on Foreign Stock Markets

This study examines the degree to which U.S. individual and institutional investor sentiments are propagated abroad. Previous studies construe investor sentiments as fully irrational; we find contrary evidence that individual and institutional investor sentiments are driven by both rational and irrational factors, with distinct effects on domestic and international stock market returns. The generalized impulse response functions from VAR model estimations show that U.S. institutional investor sentiments have varying degrees of impact on the equity markets of the U.K., Mexico, and Brazil, and no effect on Chile. Specifically, the individual investor sentiment effect is statistically significant only for the U.K market. Not surprisingly, the two classes of investor sentiments have a strong significant effect on the U.S. stock market returns. The response of the U.S. to individual investor sentiments is relatively more erratic, while the response to institutional investor sentiments is smoother. This difference in pattern becomes more visible when we consider the response of the foreign stock markets. We find significant effects of rational sentiments of institutional investors on the U.S., the U.K., Mexico, and Brazil. However, there is an insignificant effect of the irrational sentiments on the same set of countries. A direct implication of our empirical evidence is that it is important for international asset pricing models to consider the role of rational sentiments of institutional and individual investors on developed and emerging markets.     

Markov perfect Nash equilibria in models with a single capital stock

Many economic problems can be formulated as dynamic games in which strategically interacting agents choose actions that determine the current and future levels of a single capital stock. We study necessary as well as sufficient conditions that allow us to characterise Markov perfect Nash equilibria for these games. These conditions can be translated into an auxiliary system of ordinary differential equations that helps us to explore stability, continuity and differentiability of these equilibria. The techniques are used to derive detailed properties of Markov perfect Nash equilibria for several games including voluntary investment in a public capital stock, the inter-temporal consumption of a reproductive asset and the pollution of a shallow lake.     

Liquidity and Liquidation

The manager of a firm that is selling an illiquid asset has discretion as to the sale price: if he chooses a high (low) selling price, early sale is unlikely (likely). If the manager has the option to default on the debt that is collateralized by the illiquid asset, the optimal selling price depends on whether the manager acts in the interests of owners or creditors. We model the former case. In equilibrium the owner will always offer the illiquid asset for sale at a strictly higher price than he paid, and will default if he fails to sell. As a result, upon successful sales the illiquid asset changes hands at successively higher prices. We also consider a generalization of the model which permits sellers to finance sales using either debt or preferred stock, or both. This allows derivation of an optimal capital structure. We are indebted to seminar participants at the University of California, Los Angeles; University of California, Santa Barbara; Utah State University; University of Miami; Federal Reserve Bank of Atlanta; Federal Reserve Bank of San Francisco and Federal Reserve Bank of Kansas City. We have received helpful comments from Tom Cooley.     

Dynamic asset pricing model with heterogeneous sentiments

The systematic and important role of investor sentiment has been supported by some recent empirical and theoretical literatures. In this paper, we present a dynamic asset pricing model with heterogeneous sentiments and we find that the equilibrium stock price is the wealth-share-weighted average of the stock prices that would prevail in an economy with one sentiment investor only. Moreover, heterogeneous sentiments induce fluctuations in the wealth distribution, which increases stock return volatility and induces mean reversion in stock returns. The model offers a partial explanation for the financial anomaly of mean reversion.     

Using time-varying transition probabilities in Markov switching processes to adjust US fiscal policy for asset prices

This paper tests for nonlinear effects of asset prices on the US fiscal policy. By modeling government spending and taxes as time-varying transition probability Markovian processes (TVPMS), we find that taxes significantly adjust in a nonlinear fashion to asset prices. In particular, taxes respond to housing and (to a smaller extent) to stock price changes during normal times. However, at periods characterized by high financial volatility, government taxation only counteracts stock market developments (and not the dynamics of the housing sector). As for government spending, it is neutral vis-a-vis the asset market cycles. We conclude that, correcting the fiscal balance and, notably, the revenue side for time-varying effects of asset prices provides a more accurate assessment of the fiscal stance and its sustainability.     

On ‘Informationally Robust Equilibria’ for Bimatrix Games

Informationally robust equilibria (IRE) are introduced in Robson (Games Econ Behav 7: 233–245, 1994) as a refinement of Nash equilibria for strategic games. Such equilibria are limits of a sequence of (subgame perfect) Nash equilibria in perturbed games where with small probability information about the strategic behavior is revealed to other players (information leakage). Focusing on bimatrix games, we consider a type of informationally robust equilibria and derive a number of properties they form a non-empty and closed subset of the Nash equilibria. Moreover, IRE is a strict concept in the sense that the IRE are independent of the exact sequence of probabilities with which information is leaked. The set of IRE, like the set of Nash equilibria, is the finite union of polytopes. In potential games, there is an IRE in pure strategies. In zero-sum games, the set of IRE has a product structure and its elements can be computed efficiently by using linear programming. We also discuss extensions to games with infinite strategy spaces and more than two players. The authors would like to thank Marieke Quant for her helpful comments.     

Renewable Resource Use and Nonseparable Amenity Benefits

We incorporate amenity benefits into an overlapping generations model with a renewable resource as a factor of production, source of amenity benefits and store of value. Unlike the conventional renewable resource problems studied under the assumption of additive consumption and amenity benefits, we let amenity benefits affect the utility of consumers in a nonseparable fashion. We examine the role that weights given to consumption and amenities have for harvesting and the resource stock. We characterize dynamics and stability of steady state equilibria with a logistic resource growth function. We demonstrate in parametric and numerical models that the weights given to consumption and amenities in the utility function matter substantially for the steady state equilibrium stock and its stability and dynamics. Both conventional saddle point equilibria and indeterminacy with infinite number of equilibria and saddle-node bifurcation is possible depending on the weights given to consumption and amenities. In addition, we show that for each inefficient equilibrium stock, there is a unique subsidy rate that can move the economy from an inefficient equilibrium to an efficient one. The presence of indeterminacy provides a challenge to resource policies, because the system becomes unpredictable. Therefore, expectations and market psychology may play an important role in resource utilization and provision of amenities.     

Competition Among Universities and the Emergence of the Élite Institution

We consider an environment where two education institutions compete by selecting the proportion of their funding devoted to teaching and research and the criteria for admission for their students, and where students choose whether and where to attend university. We study the relationship between the cost incurred by students for attending a university located away from their home town and the equilibrium configuration that emerges in the game played by the universities. Symmetric equilibria, where universities choose the same admission standard, only exist when the mobility cost is high; when the mobility cost is very low, there is no pure strategy equilibrium. For intermediate values of the mobility cost, only asymmetric equilibria may exist; the final section of the paper provides an example where asymmetric equilibria do indeed exist for a plausible and robust set of parameters.     

消费习惯、异质偏好与动态资产定价:纯交换经济情形

本文用Chan和Kogan、Bask和Cuoco等的方法考虑纯交换经济下的定价问题,我们引进了两个投资者:一个具有外在性消费习惯;一个不具有消费习惯。我们重点考察消费习惯对投资者的最优消费规则的影响以及对资产价格的确定。此外,我们还考虑了对数效用函数下,消费习惯以差的形式出现的情形下的消费规则和定价问题。我们发现当两个投资者中一个具有消费习惯而另一个不具有该习惯时,消费习惯同时改变两个投资者的最优消费规则、消费动态和财富动态。此时的动态资产定价受外在性消费习惯的影响,即时Sharpe比为常数,并等于同质量经济下的即时Sharpe比。同时,如果考虑对数效用函数下消费习惯以差的形式出现,则即时Sharpe比是时变的,反周期的。     

THE CURSE OF WINDFALL GAINS IN A NON RENEWABLE RESOURCE OLIGOPOLY*

In this paper, we consider oligopolistic equilibria in subgame‐perfect strategies in continuous time, and investigate the effect of stock discovery on the profits of non‐identical natural resource oligopolists. We show that a uniform addition to all stocks does not necessarily increase the discounted sum of profits of all firms.     

Optimality in stochastic OLG models: Theory for tests

We consider general OLG economies under uncertainty, with short maturity assets and with dividend paying assets of infinite maturity and fiat money, and study the optimality properties of equilibria with a sequence of asset markets that are sequentially complete. We provide necessary and sufficient conditions, in terms of asset prices and dividends, for equilibria to be conditionally Pareto optimal. These results provide a theoretical basis for empirical investigation.     

Capital accumulation of a firm facing an emissions tax

In this paper we consider the dynamic behavior of a firm that is subject to environmental regulation. It is assumed that, in order to prevent firms from polluting the environment excessively, the government imposes an emissions tax. We determine how an emissions tax influences the firm's decisions concerning investments and abatement efforts. In the model we incorporate the realistic property that a given abatement expenditure leads to more pollution reduction when pollution is large. This property implies increasing returns to scale with respect to pollution reduction. It turns out that, together with the usual assumption of decreasing returns to scale with respect to production, this property leads to the occurrence of history-dependent equilibria in case the pollution tax rate is sufficiently large. It is possible to derive an explicit formula for the threshold tax rate above which these history-dependent equilibria can occur. We show that an investment grant by the government can influence the firm so as to approach the equilibrium with a higher capital stock. Finally, we compare our results with those of a related model where the firm faces a strict pollution standard rather than an emissions tax. Among other things, we show that growth is more suppressed under a tax than under a standard when the firm is small.