Numeraire portfolios and utility-based price systems under proportional transaction costs

In a discrete-time incomplete financial market with proportional transaction costs and with independent and bounded returns, we prove the existence of a consistent price system that can be written as the expectation of the discounted claim under the real-world probability measure P and not just under a martingale measure. In fact, the claim is then discounted by some specific dynamic portfolio called the numeraire portfolio as in the classical case of markets without transaction costs. For that specific numeraire, P will be a martingale measure. Naturally, the concept of a numeraire portfolio has here to be adapted to the concept of consistent price systems for markets with transaction costs. Moreover, again as in the classical case, the numeraire portfolio can be chosen as log-optimal portfolio. The same analysis works for power utility functions. However, then a change of measure is necessary. This paper applies methods from stochastic dynamic programming to finance.     

Option pricing and replication with transaction costs and dividends

This paper derives optimal perfect hedging portfolios in the presence of transaction costs within the binomial model of stock returns, for a market maker that establishes bid and ask prices for American call options on stocks paying dividends prior to expiration. It is shown that, while the option holder's optimal exercise policy at the ex-dividend date varies according to the stock price, there are intervals of values for such a price where the optimal policy would depend on the holder's preferences. Nonetheless, the perfect hedging assumption still allows the derivation of optimal hedging portfolios for both long and short positions of a market maker on the option.     

Competitive price paths of an exhaustible resource with increasing extraction costs

The paper analyzes the competitive growth paths of an economy with an exhaustible resource which is subject to increasing extraction costs, assuming perfect foresight. It establishes equivalence among the competitive present-value maximization condition for deposit holders, the generalized Hotelling rule, and the Ricardian royalty-price structure. It also proves uniqueness of a competitive growth path for the case where a backstop technology exists, in order to give some validity to the assumption of perfect foresight.     

Bid-ask dynamic pricing in financial markets with transaction costs and liquidity risk

According to the classic no arbitrage theory of asset pricing, in a frictionless market a No Free Lunch dynamic price process associated with any essentially bounded asset is a martingale under an equivalent probability measure. However, real financial markets are not frictionless. We introduce an axiomatic approach of Time Consistent Pricing Procedure (TCPP), in a model free setting, to assign to every financial position a dynamic ask (resp. bid) price process. Taking into account both transaction costs and liquidity risk this leads to the convexity (resp. concavity) of the ask (resp. bid) price. We prove that the No Free Lunch condition for a TCPP is equivalent to the existence of an equivalent probability measure R that transforms a process between the bid price process and the ask price process of every financial instrument into a martingale. Furthermore we prove that the ask (resp. bid) price process associated with every financial instrument is then a R super-martingale (resp. R sub-martingale) which has a càdlàg version.     

Multiproduct price competition with heterogeneous consumers and nonconvex costs

This paper extends the oligopolistic model of price competition to environments with multiple goods, heterogeneous consumers, and arbitrary continuous cost functions. A Nash equilibrium in mixed strategies with an endogenous sharing rule is proven to exist. It is also shown that, in environments with fixed costs and constant marginal costs, all (symmetric and asymmetric) equilibria exhibit price dispersion across stores. Furthermore, the paper identifies scenarios in which prices will necessarily be random. In these markets, stores keep each other guessing because, given the fixed costs, they would incur a loss if their price strategies were anticipated and beaten by competitors. This is interpreted as an important economic feature that is possibly behind random price promotions such as weekly specials.     

Transaction costs and market efficiency: Evidence from commission deregulation

This study analyzes the impacts of explicit transaction costs on weak-form market efficiency within the context of the brokerage commission deregulation in Japan in October 1999, which led to lower commission rates across the market. Applying two alternative statistical tests to both daily and weekly data, we find that return randomness (unpredictability) increases significantly for stocks listed in Japan, but not for the Japanese stocks dually listed in the United States, which are immune to the deregulation. These results suggest an inefficiency loss or an efficiency gain in the Japanese equity market following the deregulation, insofar as randomness proxies for efficiency.     

Agents interaction and price dynamics: evidence from the laboratory

Journal of Economic Interaction and Coordination - Using data collected from an experimental double auction market, we study the dynamics of interaction among traders. Our focus is on the effect...     

Asset price and wealth dynamics in a financial market with heterogeneous agents

This paper considers a discrete-time model of a financial market with one risky asset and one risk-free asset, where the asset price and wealth dynamics are determined by the interaction of two groups of agents, fundamentalists and chartists. In each period each group allocates its wealth between the risky asset and the safe asset according to myopic expected utility maximization, but the two groups have heterogeneous beliefs about the price change over the next period: the chartists are trend extrapolators, while the fundamentalists expect that the price will return to the fundamental. We assume that investors’ optimal demand for the risky asset depends on wealth, as a result of CRRA utility. A market maker is assumed to adjust the market price at the end of each trading period, based on excess demand and on changes of the underlying reference price. The model results in a nonlinear discrete-time dynamical system, with growing price and wealth processes, but it is reduced to a stationary system in terms of asset returns and wealth shares of the two groups. It is shown that the long-run market dynamics are highly dependent on the parameters which characterize agents’ behaviour as well as on the initial condition. Moreover, for wide ranges of the parameters a (locally) stable fundamental steady state coexists with a stable ‘non-fundamental’ steady state, or with a stable closed orbit, where only chartists survive in the long run: such cases require the numerical and graphical investigation of the basins of attraction. Other dynamic scenarios include periodic orbits and more complex attractors, where in general both types of agents survive in the long run, with time-varying wealth fractions.     

Time on market and sales price of residential housing: A note

This note extends the study of Kalra and Chan (1994). A simultaneous TOBIT equations model is established to address the simultaneity nature of time on the market (TOM) and sales price (SP) in the presence of censored sample bias. We find that both TOM and SP are positively related to each other.     

Counterfactual distributions with sample selection adjustments: Econometric theory and an application to the Netherlands

Several recent papers use the quantile regression decomposition method of Machado and Mata [Machado, J.A.F. and Mata, J. (2005). Counterfactual decomposition of changes in wage distributions using quantile regression, Journal of Applied Econometrics, 20, 445–65.] to analyze the gender gap across log wage distributions. In this paper, we prove that this procedure yields consistent and asymptotically normal estimates of the quantiles of the counterfactual distribution that it is designed to simulate. Since employment rates often differ substantially by gender, sample selection is potentially a serious issue for such studies. To address this issue, we extend the Machado–Mata technique to account for selection. We illustrate our approach to adjusting for sample selection by analyzing the gender log wage gap for full-time workers in the Netherlands.     

住房价格指数以及区位对住房价格的影响——北京市住房价格实证分析

根据北京市的1308个新建住宅项目数据,建立了Hedonic模型,着重分析了时间、距离、环线以及行政区等变量对住房价格的影响,构建了北京市住房Hedonic价格指数和住房价格的梯度曲线.     

Long-term reactions to large stock price declines and increases in the European stock market: a note on market efficiency

This study tests for underreaction and overreaction in European large cap markets by examining the abnormal returns of those stocks in the EuroStoxx 50 Index following large price increases and decreases. We find that large price increases and declines tend to be followed by average market returns. Thus, our results support the efficient market theory, rather than any of the behaviour finance hypotheses. This insight is contrary to price patterns found in various national markets.     

Product Rivalry with multiple Strategic weapons: an Analysis of price and advertising Competition

A dynamic model of product rivalry is developed for a market in which firms choose price and advertising intensity. The model, a state-space game, is implemented using data that consist of weekly price, sales, and promotional activity for four brands of saltine crackers sold by four chains of grocery stores in a small town. A number of questions can be asked of this data. First, is advertising predatory (merely changing market shares) or cooperative (shifting out market demand)? Second, are price and advertising own and cross-strategic complements or substitutes? And finally, do investments in stocks of goodwill and in price reductions make firms tough and aggressive or soft and accommodating?     

The influence of seller learning and time constraints on sequential bargaining in an artificial perishable goods market

This paper investigates the formation of prices in a perishable goods market where agents bargain repeatedly through pair-wise interactions. After extensive field observations, we chose to focus on two aspects that seem important to actors of this market: the passage of time and update in judgement when gathering information. The main feature of the market is that a seller bargaining with a buyer has incomplete information about buyer's willingness to pay and is not sure how her trading partner will evaluate an offer or compare it with other options. On the other hand, buyers have limited time to look for goods and cannot meet all possible sellers before making a decision. Hence agents cannot calculate the best price to offer but receive information through limited interactions, and use this information to choose their actions.An agent-based model was built to represent a framework that mimics the observed market institution and where agent's possible behaviors and learning was made as consistent as possible with gathered data. Simulations were run, first for sensitivity analysis concerning main parameters, then to test the dependance of agents’ learning to (a) the time buyers can spend on the market and (b) the frequency of update in learning by sellers. To validate the model, features produced by the simulated market are compared to the stylized facts gathered for negotiation about four goods. We reproduce the main features of the data on the dynamics of offers, transaction prices and agents’ behavior during the bargaining phases.     

Timing of price clustering and trader behavior in the foreign exchange market: evidence from Taiwan

In this paper, I use a unique proprietary dataset from the foreign exchange market to examine the existing hypotheses on price clustering. I find that market uncertainty plays an important role in price clustering. Moreover, since trading behavior changes under different market conditions, market timing also affects the likelihood of price clustering. The results support both the price resolution hypothesis (Ball et al. J Futures Mark 5:29–43, 1985) and the negotiation hypothesis (Harris Rev Financ Stud 4:389–415, 1991). Since the data covers the interbank foreign exchange market, which is the market for the professional bank dealers, the attraction hypothesis is less likely to be a plausible explanation for price clustering in the foreign exchange market.     

Capital outflow liberalization and stock market reaction in an emerging market: Experience from Greece

This paper examines the response of the Greek equities market to the liberalization of capital flows during the 1992–1994 period. While past empirical research has largely examined the effects of capital inflow liberalization in emerging markets, we focus on capital outflow liberalization. In particular, we consider changes in the regulatory environment that allow domestic investors to hold foreign risky assets. Employing a time series of daily equity returns, a wealth effect is found that is indirectly linked to the announcement of capital flow liberalization. Additionally, our results reveal a significant change in the daily return distribution before and after final implementation. The views expressed in this paper are solely those of the authors and should not be interpreted as those of their respective affiliations.     

Toward an understanding of market resilience: market liquidity and heterogeneity in the investor decision cycle

During liquidity shocks such as occur when margin calls force the liquidation of leveraged positions, there is a widening disparity between the reaction speed of the liquidity demanders and the liquidity providers. Those who are forced to sell typically must take action within the span of a day, while those who are providing liquidity do not face similar urgency. Indeed, the flurry of activity and increased volatility of prices during the liquidity shocks might actually reduce the speed with which many liquidity providers come to the market. To analyze these dynamics, we build upon previous agent-based models of financial markets, and specifically the Preis et. al (Europhys Lett 75(3):510–516, 2006) model, to develop an order-book model with heterogeneity in trader decision cycles. The model demonstrates an adherence to important stylized facts such as a leptokurtic distribution of returns, decay of autocorrelations over moderate to long time lags, and clustering volatility. Consistent with empirical analysis of recent market events, we demonstrate the impact of heterogeneous decision cycles on market resilience and the stochastic properties of market prices.     

Common holdings and strategic manager compensation: The case of an asymmetric triopoly

We study an asymmetric triopoly in a heterogeneous product market where quantity decisions are delegated to managers. The two biggest firms are commonly owned by shareholders such as index funds, whereas the smallest firm is owned by independent shareholders. Under such a common holding owner structure, the owners have an incentive to coordinate when designing their manager compensation schemes. This coordination leads to a reallocation of production and induces a redistribution of profits. The trade volume in the market is reduced so that shareholder coordination is detrimental to consumer surplus as well as welfare.     

NAFTA and North American stock market linkages: an empirical note

This paper provides tests of the co-movement of the North American stock markets. We find over the post-US stock market crash period, 1987:11 through 1997:03, there is no cointegration present in these markets even when the passage of NAFTA is taken into account. The absence of cointegration allows us to draw several conclusions. First, the stock markets of North America are segmented. Second, the passage of NAFTA has not resulted in a greater integration of these stock markets. Finally, the data do not support the notion of a contagion effect from the 1987 U.S. stock market crash. In conclusion, the potential for long-run international diversification across the markets of North America still exists.