Equilibrium theory with unbounded consumption sets and non-ordered preferences : Part I. Non-satiation

A new condition is introduced for the existence of equilibrium for an economy where preferences need not be transitive or complete and the consumption set of each agent need not be bounded from below. The new condition allows us to extend the literature in two ways. First, the result of the paper can cover the case where the utility set for individually rational allocations may not be compact. As illustrated in Page et al. [Page Jr., F.H., Wooders, M.H., Monteiro, P.K., 2000. Inconsequential arbitrage. Journal of Mathematical Economics 34, 439–469], the no arbitrage conditions do not apply to an economy with a non-compact utility set. Second, we generalize the arbitrage-based equilibrium theory to the case of non-transitive preferences.     

Arbitrage, equilibrium, and gains from trade: A counterexample

We present a counterexample to a theorem due to Chichilnisky (Bulletin of the American Mathematical Society, 1993, 29, 189–207; American Economic Review, 1994, 84, 427–434). Chichilnisky's theorem states that her condition of limited arbitrage is necessary and sufficient for the existence of an equilibrium in an economy with unbounded short sales. Our counterexample shows that the condition defined by Chichilnisky is not sufficient for existence of equilibrium. We also discuss difficulties in Chichilnisky (Economic Theory, 1995, 5, 79–107).     

Revealed preference theory on the choice of lotteries

The choice behavior of a decision-maker is said to be consistent with expected utility maximization if there exists a utility function defined on the set of prizes such that the decision-maker chooses lotteries with the highest expected utility. We present a revealed preference characterization of choice behavior that is consistent with expected utility maximization. A necessary and sufficient condition for expected utility maximization is that there does not exist a way to compound lotteries such that the probability distribution over the final prizes generated by the chosen lotteries of each observation is equal to that generated by the rejected lotteries of each observation. Our result is quite general and can be applied to any compact set of prizes and any choice correspondence.     

Functional data analysis for volatility

We introduce a functional volatility process for modeling volatility trajectories for high frequency observations in financial markets and describe functional representations and data-based recovery of the process from repeated observations. A study of its asymptotic properties, as the frequency of observed trades increases, is complemented by simulations and an application to the analysis of intra-day volatility patterns of the S&P 500 index. The proposed volatility model is found to be useful to identify recurring patterns of volatility and for successful prediction of future volatility, through the application of functional regression and prediction techniques.     

Carbon Financial Instruments, thin trading, and volatility: Evidence from the Chicago Climate Exchange

We provide the first econometric investigation of volatility dynamics for the Carbon Financial Instrument (CFI) traded on the Chicago Climate Exchange (CCX). A CFI is a financial contract with the right to emit 100 metric tons of CO₂ equivalent. In this study, we present evidence of infrequent trading in the CCX, consistent with emerging markets that are inhabited by non-competitive agents trading permits. We explore the relationship between the observed thin trading effects and GARCH model testing and estimation, concluding with some implications for volatility-based Value-at-Risk forecasts. Our results are important for traders of Carbon Financial Instruments and for policy makers seeking to improve the design of the Chicago Climate Exchange.     

Order aggressiveness, pre-trade transparency, and long memory in an order-driven market

Recent empirical research has documented that the state of the limit order book influences stock investors' strategies. Investors place more aggressive orders when the same side of the order book is thicker, and less aggressive orders when it is thinner. We conjecture and demonstrate that this behavior is related to long memories of trading volume, volatility, and order signs in stock markets. We investigate our conjecture in two types of artificial stock markets: a transparent market, in which agents observe all limit orders on both sides of the book and order volumes at those prices before they trade; and a less transparent market, in which agents observe only the best five bid and ask quotes with the depth available at these limit prices. The first market structure resembles certain actual stock exchanges in the level of pre-trade transparency, such as the Australian Stock Exchange, NYSE OpenBook, and the London Stock Exchange, whereas the second market structure is consistent with stock exchanges such as Euronext Paris, the Toronto Stock Exchange, the Tokyo Stock Exchange, and Hong Kong Exchanges and Clearing. We demonstrate that our long memory results are robust with different levels of pre-trade transparency, implying that the strategy constructed by the state of the order book is key for explaining long memories in many actual stock exchanges.     

The hybrid equilibria and core selection in exchange economies with externalities

This paper introduces a hybrid equilibrium concept that combines the elements of cooperative and non-cooperative behaviors in an exchange economy with externalities. For a fixed coalition structure (or a partition of traders), the hybrid equilibrium is a price and consumption bundle such that each coalition chooses a core solution from its budget set and the consumption bundles are feasible. It becomes the competitive equilibrium when the position is the finest, and it selects a core allocation when the partition is the coarsest. The paper provides sufficient conditions for the existence of a hybrid equilibrium for any coalition structure.     

Generic properties of the core and equilibria of pure exchange economies

We show that for an open dense set of markets with a continuum of traders the number of equilibrium allocations [which by the celebrated theorem of ^{Aumann (Econometrica. 1964, 32. 39–50)} coincide with the core allocations for such markets are finite. This presents a limiting case result that complements similar asymptotic theorems for cores of large economies proved by ^{Bewley (Econometrica 1973, 41, 425–454)}, and ^{Dierker (Journal of Mathematical Economics 1975, 2. 155–169)}. If we require that the measure on the space of agents be one with a finite number of atoms of equal weight, our reasoning recovers the classical results obtained by ^{Debreu (Econometrica. 1970. 38, 387–392)} for economies with a finite number of agents.     

Private debt, unused credit lines, and seasoned equity offerings

We study a sample of SEOs to examine the impact of private debt and unused credit lines on SEO underpricing and long-run stock and operating performance. We do not find significant effects of private debt financing on SEO underpricing and long-run stock underperformance. However, firms with more bank debt and unused lines of credit exhibit significantly better pre-issue operating performance. Changes in operating performance from the pre-issue year to the post-issue period are negatively related to the size of unused credit lines. Capital spending decreases with the size of unused credit lines in the year prior to SEOs, but increases following SEOs. Our overall evidence suggests that the post-issue operating performance we observed may be a result of overinvestment, which is enhanced by unused credit lines.     

A topological invariant for competitive markets

This paper summarizes the concepts of global cones and limited arbitrage introduced in Chichilnisky (Economic Theory, 1995, 5, 79–108), and the corresponding results establishing that limited arbitrage is necessary and sufficient for the existence of a competitive equilibrium and for the compactness of Pareto frontier (announced in Chichilnisky (American Economic Review, 1992, 84, 427–434, and Chichilnisky (Bulletin of the American Mathematical Society, 1993, 29, 189–207). Using the same global cones I extend my earlier results to encompass ‘mixed economies’ based on Chichilnisky (CORE Discussion Paper No. 9527, 1995). I introduce a topological invariant for competitive markets which deepens the concept of limited arbitrage. This invariant encodes exact information on the equilibria and on the social diversity of the economy and all its subeconomies, and predicts a failure of effective demand.     

The graph of Lindahl correspondence as the unique von Neumann-Morgenstern abstract stable set

In this paper, we consider a continuum economy with a finite number of types of agent, and several private and public goods. The main result of the paper is that the graph of the equal-treatment Lindahl equilibria mapping is the unique abstract stable set with respect to the dominance relation in economies with crowding effects introduced by Vasil'ev et al. in 1995. The external stability of this mapping implies that, for any equal-treatment allocation x in , that is not a Lindahl equilibrium, there exists a subeconomy of such that one of its equal-treatment Lindahl allocations blocks x. This result is a counterpart of the theorem of Mas-Colell for Aumann's atomless market with private goods.     

Foreign and domestic growth drivers in Eastern Europe

This paper analyses the growth effects of capital formation, exports and FDI as major, drivers of economic development in Eastern Europe. The fundamental innovations are, identified by empirically and theoretically motivated short- and long-run restrictions in, structural cointegrated vector autoregressions. Impulse responses and variance, decompositions reveal quite different growth effects in various Eastern European countries. Generally, a strong reliance on exports goes along with higher GDP, and FDI bears, substantial potential for fostering economic growth. It is shown that the recent worldwide, recession clearly hit Eastern Europe through the export channel, whereas the recovery is, mainly supported by positive demand shocks.     

Emerging market mutual fund performance: Evidence for Poland

This paper provides evidence on the performance of mutual funds in a prominent emerging market; Poland. Studying an emerging market provides an excellent opportunity to test whether the consensus on the inability of mutual funds in developed and highly efficient markets to beat the market, also holds in less efficient markets. While the weaknesses of legal institutions and underdeveloped capital markets in emerging countries could negatively contribute to performance, a certain level of market inefficiency might also enable fund managers to successfully apply security selection and therefore beat the market. This paper presents an overview of the Polish mutual fund industry and investigates mutual fund performance using a survivorship bias controlled sample of 140 funds. The latter is done using the Carhart (1997) 4-factor asset-pricing model. In addition, we investigate whether Polish fund managers exhibit “hot hands”, persistence in performance. Finally the influence of fund characteristics on risk-adjusted performance is considered. Our overall results suggest that Polish mutual funds on average are not able to add value, as indicated by their negative net alphas. Interestingly, domestic funds outperform internationally investing funds, which points at informational advantages of local over foreign investors. Finally, we detect strong persistence in mean returns up to 1 year. It is striking that “winning” funds are able to significantly beat the market, based on their significantly positive alpha's. These results deviate from studies on developed markets that conclude that even past winners are not able to significantly beat the market.