Time,Arbitrage, and the Law of One Price: The Case for a Paradigm Shift

Consider a Competitive, Efficient, and Frictionless Economy (CEFE) where resources are scarce at any date, and hence money as a valid claim against scarce resources is also scarce. In this economy, there is always price competition, which can at any date generate an unlimited number of arbitrage opportunities. For example, at any date, opportunities can exist to buy and sell each one of the contracts for delivery of the same good or asset at multiple prices currently as well as on an infinite number of future dates. I prove all arbitrage transactions, including “spot” transactions, tie up arbitrageurs’ capital representing money, good or asset such that this capital cannot be used for any other purpose for a non-zero quantity of time. This makes it impossible to exploit all arbitrage opportunities with the scarce capital available at any date and leads to an infinite number of unexploited opportunities and a non-negligible opportunity cost of the capital tied-up in arbitrage transactions, represented by each arbitrageur’s best missed arbitrage opportunity, if no better opportunity exits, hence the breakdown of the law of one price in its standard sense. This helps construct a new paradigm of CEFE which resolves long-standing theoretical, empirical, and experimental puzzles.     

The empirical effects of competition on third‐degree price discrimination in the presence of arbitrage

Since Borenstein ( 1985 ) and Holmes ( 1989 ), a theoretical and empirical literature has emerged that examines the effects of competition on third‐degree price discrimination. Since transaction costs involved in conducting arbitrage are typically unobserved, empirical investigations in this area have largely been restricted to markets such as for air travel where arbitrage is difficult, if not impossible. Using an entirely novel dataset, this paper documents the effect of competition on price discrimination in the presence of arbitrage in the Canadian online sports betting market where prices for Canadian teams are higher than in the world market. I observe how the prices of Canadian teams change in real time in response to the presence of arbitrageurs that establish Canadian sportsbooks’ observable marginal opportunity costs. I exploit the existence of government betting outlets not subject to arbitrage to obtain reduced form counterfactual estimates of the extent to which competition affects price discrimination in the presence of arbitrage. In this new empirical environment, I find results consistent with the airline literature: competition reduces overall price dispersion and markups, but dispersion and markups shrink more for those in the “strong” market than the “weak” market.     

Arbitrage costs and nonlinear adjustment in the G7 stock markets

This article aims to study stock price adjustments towards fundamentals due to the existence of arbitrage costs defined as the sum of transaction costs and a risky arbitrage premium associated with the uncertainty characterizing the fundamentals. Accordingly, it is shown that a two regime Smooth Transition Error Correction Model (STECM) is appropriate to reproduce the dynamics of stock price deviations from fundamentals in the G7 countries during the period 1969 to 2005. This model takes into account the interdependences or contagion effects between stock markets. Deviations appear to follow a quasi random walk in the central regime when prices are near fundamentals (i.e. when arbitrage costs are greater than expected arbitrage profits, the mean reversion mechanism is inactive), while they approach a white noise in the outer regimes (i.e. when arbitrage costs are lower than expected arbitrage profits, the mean reversion is active). Interestingly, as expected when arbitrage costs are heterogeneous, the estimated STECM shows that stock price adjustments are smooth and that the convergence speed depends on the size of the deviation. Finally, using two appropriate indicators proposed by Peel and Taylor (2000), both the magnitudes of under and overvaluation of stock price and the adjustment speed are calculated per date in the G7 countries. These indicators show that the dynamics of stock price adjustment are strongly dependent on both the date and the country under consideration.     

Time-varying threshold cointegration and the law of one price

A theoretical model of the law of one price which allows for seasonality in transaction costs and supply and demand conditions between markets is developed. Bivariate three-regime threshold vector error correction models are applied to natural gas markets to examine seasonality in threshold levels. Results indicate that there are nonlinear adjustments to the law of one price in seven pair-wise markets (Chicago is used as the base market). In the natural gas sector, dynamic threshold effects relative to the Chicago market vary depending on season, geographical location and whether the market is an excess producing or consuming market.     

Integration of rice markets: the case of southern China

In this article, integration of rice markets in southern China is analyzed using the cointegration technique and monthly price data. Results show that there is a general lack of integration among the indica rice markets in China. Poor transport facilities, government interventions, and the limited amount of grain available for arbitrage are identified as the major impediments to market integration. Policy implications are discussed.     

A place for everything and everything in its place: New York's role in the art market

A crucial point in any sale is the choice of the market where to sell. This issue is much more important in the case of the artworks, where there is evidence that arbitrage does not necessarily equalise prices of comparable items across different cities of sale. Are these price differences due to the specific characteristics of items sold in different places or do they capture the idiosyncratic nature of the markets? In order to answer to this question, we apply the unconditional Recentered Influence Function (RIF) regression method to a sample of Picasso paintings sold worldwide during the period 2000-2019. Specifically, we compare percentile price differences between New York City, which is known for its status as a world art city and the Rest of World. Overall, results illustrate that the law of one price fails with Picasso's ‘blue chips’, his most expensive artworks. However, after the 2008-09 financial crisis the art market became more efficient and the idiosyncratic nature of New York's art market faded.     

WHY DO PRICE SPREADS BETWEEN DOMESTIC SHARES AND THEIR ADRS VARY OVER TIME?

Abstract. The exchange translated price spreads between domestic stocks and their American depositary receipts (ADRs) are conventionally ascribed to market friction. However, price spreads vary over time and sometimes fluctuate dramatically, which is hardly explainable by friction costs and implies the existence of arbitrage opportunities. This study hypothesizes that changes in trading volume and macro events generate heterogeneous expectations between two markets, which augments price spreads. Using a sample of 37 dual‐listing firms of six Far Eastern countries, we confirm this hypothesis by showing that domestic volume and macro events shift price spreads. We also find that: (i) the liberalization of capital control in Korea and Taiwan slashed price spreads; and (ii) investors can profit by trading Hong Kong stocks and ADRs.     

我国商品期货市场节约社会试错成本研究

随着市场经济的发展,对期货市场功能的认识不断深化。文章在总结已有研究的基础上提出了价格发现是期货市场基本功能的观点,并将价格发现功能归结到微观上的套期保值、投机、套利和宏观上的节约社会试错成本。文章通过南华期货商品综合指数与PPI的关系检验,证实我国商品期货市场起到了节约社会试错成本的作用。为更好地发挥这一功能,应大力推进期货市场建设,完善商品期货体系,推出权威合理的商品期货指数。     

Arbitrage and equilibrium in strategic security markets

Summary. In view of the fundamental price taking hypothesis, arbitrage is never compatible with equilibrium in Walrasian markets because the existence of an arbitrage opportunity in a competitive situation always leads to unbounded arbitrage activity. In strategic markets however, the mere effort of individuals to profit alters market clearing prices and thus distorts arbitrage opportunities as well. This observation suggests a different relationship between arbitrage and equilibrium, than in the competitive model. Indeed, we show that in such markets a spread between the cost of a portfolio and its returns is compatible with equilibrium. We provide an example of an equilibrium where a resourceless individual holds a portfolio with zero cost and positive return in every state. We further demonstrate via an asymptotic result, that no arbitrage is intimately related to price taking behaviour.Received: 8 September 2001, Revised: 6 March 2003, JEL Classification Numbers: G12, D4, D5, D52. Correspondence to: Leonidas C. Koutsougeras     

Non-Walrasian equilibria and the law of one price

We present a market game which features multiple posts for each commodity. We use this framework to illustrate the idea that in non-Walrasian markets, where individual activities influence market clearing prices, there are equilibria where commodities are exchanged simultaneously in two posts at different prices, thus defying the ‘law of one price’. Such equilibria are compatible with an apparent arbitrage possibility, which dissipates whenever individuals try to take advantage of it.     

An asymptotic property of equilibrium on futures markets arising from speculation

This paper presents an asymptotic property of a joint spot-futures market equilibrium established in Cheng-Magill (1982). As speculators diversity over a large number of markets, the equilibrium risk premium converges to an asymptotic premium, the behaviour of which depends solely on the stochastic dependence between the spot price and an index of average returns on other markets. Risk arising from the variability of the spot price itself is diversified away. The results are related to the arbitrage pricing theory of Ross (1976).     

CONSUMER SEARCH,PRICE DISPERSION,AND INTERNATIONAL RELATIVE PRICE FLUCTUATIONS*

This article develops a model of consumer search consistent with the evidence of substantial price dispersion and time spent shopping within countries to study international deviations from the law of one price (LOP) and relative price fluctuations. Search frictions lead firms to price discriminate across markets based on the opportunity cost of search, which depends on the local wage. With productivity and taste shocks estimated from the data, deviations from the LOP are as volatile and persistent as in the data. Fluctuations in relative wages, real exchange rates, and the terms of trade are also consistent with the data.     

THE PUZZLING DIVERGENCE OF RENTS AND USER COSTS, 1980–2004

This paper demonstrates that, in the context of U.S. housing data, rents and ex ante user costs diverge markedly—in both growth rates and levels—for extended periods of time, a seeming failure of arbitrage and a puzzle from the perspective of standard capital theory. The tremendous volatility of even appropriately‐smoothed ex ante annual user cost measures implies that such measures are unsuitable for inclusion in official price statistics. The divergence holds not only at the aggregate level, but at the metropolitan‐market level as well, and is robust across different house price and rent measures. But transactions costs matter: the large persistent divergences did not imply the presence of unexploited profit opportunities. In particular, even though detached housing is readily moved between owner and renter markets, and the detached‐unit rental market is surprisingly thick, transactions costs would have prevented risk‐neutral investors from earning expected profits by buying a property to rent out for a year, and would have prevented risk‐neutral homeowners from earning expected profits by selling their homes and becoming renters for a year. Finally, computing implied appreciation as a residual yields a house price forecast with huge errors; but either longer‐horizon or no‐real‐capital‐gains forecasts—which turn out to have similar forecast errors—imply a far less divergent user cost measure which might ultimately be useful for official price statistics. Some conjectures are offered.     

Price taking behavior and trading in options

Equilibrium prices of options are arbitrage prices in economies in which prices are determined endogenously and all agents are price takers. This paper shows that the price taking assumption in options' markets is unreasonable because a small agent can make huge gains by not being a price taker.     

From Segmented Markets to Integrated Markets: an Analysis of Economic Integration and Antidumping Legislation

The paper examines how a movement from segmented markets to integrated markets affects the volume of trade, consumer prices, profits and welfare in a monopoly model. The monopolist can initially discriminate consumer prices among markets with trade costs but has to take arbitrage into account as economic integration proceeds. The analysis provides interesting insights into economic integration and antidumping law. It is shown that the extent of arbitrage and the shape of the marginal cost curve play crucial roles. Surprisingly, it is possible that neither consumers nor the monopolist gains from economic integration, and that antidumping legislation benefits consumers at the expense of producers.     

Optimal Policy with Tradable and Bankable Pollution Permits: Taking the Market Microstructure into Account

This paper analyzes how the way emission permits are traded—their market microstructure—affects the optimal policy to be adopted by the environmental agency. The microstructure used is one of a quote driven market type, which characterizes many financial markets. Market makers act as intermediaries for trading the permits by setting an ask price and a bid price. The possibility of bank permits is also introduced in our dynamic two‐period model. We consider two models whether the market makers are perfectly informed about the technology of the producers or not. When the market makers have complete information, the equilibrium price of permits is the same as if the market is walrasian. When they are imperfectly informed, they may set a positive spread between bid and ask permit prices, which creates some inefficiency as the marginal abatement costs of polluters do not equalize. By allowing more flexibility in the use of the permits, banking may reduce the spread. Moreover, it may introduce price rigidities due to intertemporal arbitrage. In this framework, the circumstances under which banking should be allowed or not depend crucially on the evolution of the marginal willingness to pay for the environment.     

Vertical price leadership on local maize markets in Benin

This paper considers vertical price relationships between wholesalers and retailers on five local maize markets in Benin. We show that the common stochastic trend and the long-run disequilibrium error must explicitly be considered to correctly interpret the restrictions on the error–correction structure in terms of economic power in the channel. Interesting differences between markets are found. In the two major towns, retailers play a more prominent role in the price formation process than generally assumed in the literature on development economics. In the two larger rural centers, however, wholesalers involved in arbitrage among urban markets do influence price formation.     

异质信念、投机均衡与农产品期货定价*

农产品期货市场套利并不充分,交易者也不是完全理性的。本文假设农产品期货市场有限套利、交易者异质信念并遵循“经验法则”预期,构建了农产品期货投机均衡定价模型,并认为集中竞价规则下产生的农产品期货价格是由交易者的预期决定的;前期期货价格水平、现货价格和前期期货价格的变动趋势、不同类型交易者的比例结构及其预期模式共同影响农产品期货价格的形成与波动;基本分析法交易者占主导地位的农产品期货市场具有更高的套期保值与价格发现效率。针对中国七种主要农产品期货的实证结果显示,农产品期货投机均衡定价模型对解释中国农产品期货价格的形成与波动是有效的。这意味着在期货行情系统中实时披露现货价格信息,培育和引导交易者运用基本分析法预测期货价格走势,有助于提升农产品期货市场的效率。     

Assessing Market Integration in ASEAN with Retail Price Data

We assess the extent of market integration the Association of Southeast Asian Nations (ASEAN) using a comprehensive data set that contains actual local retail prices for 131 goods and services in ASEAN countries (except Laos and Myanmar) over the period of 1990–2013. We conduct two different, but complementary, approaches: analyzing price dispersion and testing for convergence to the law of one price via panel unit root tests. The 1997 Asian crisis and, to a lesser extent, the 2008 global crisis appear to have caused a considerable disruption in the process of market integration. Despite significant tariff reduction under the ASEAN Free Trade Area commitments in the past two decades, the level of price dispersion across ASEAN is higher in 2013 than in 1990. Panel unit root tests accounting for cross‐section dependence show that convergence to the law of one price holds for only a minority of retail prices, including those of traded goods, in the ASEAN markets. We also consider a nonlinear exponential smooth transition autoregressive approach and a structural break as alternative adjustment dynamics in the panel unit root tests. Overall, our results suggest that there is much to be done in ASEAN to achieve a meaningful ASEAN economic community.     

Are Co-integrated Stock Prices Consistent with the Efficient Market Hypothesis?

This paper responds to the unsatisfactory argument that there is no correspondence between co-integration and the efficient market hypothesis. A law of one co-integrating vector of prices is proposed for the exchange rate and domestic and overseas stock prices. Markets must therefore be efficient in long-run equilibrium because no arbitrage opportunities exist. However, arbitrage activity via the disequilibrium error correction allows above-average (risk-adjusted) returns to be earned in the short run. The elimination of these arbitrage opportunities means that stock market inefficiency in the short run ensures stock market efficiency in the long run.