Market Efficiency - A Structural Study

Rajeev R. Bhattacharya
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Abstract

I use eight different metrics as separate objective and systematic measures of the efficiency of the market for a stock. I develop a seven-equation (six- for non-Nasdaq stocks) structural model with market efficiency as a function of exogenous factors (transaction costs & constraints, short sales costs & constraints, and dispersion in investor valuations) and endogenous market activities (trading volume, short interest, number of analysts, institutional holdings, shares outstanding, and number of market makers (for Nasdaq stocks)), and each endogenous market activity as a function of the exogenous factors and all other endogenous market activities. I propose a theoretical model that shows that higher trading volume (or another similar market activity) is caused by lower transaction costs, lower short sales costs, and/or higher dispersion of investor valuations, and therefore, that the impact on market efficiency of transaction costs or short sales costs is an empirical question. I apply Three Stage Least Squares and Errors in Variables to estimate the structural system and test the corresponding hypotheses, using panel-based instrumentation strategies for endogenous and inaccurately measured variables. Analyzing Nasdaq and non-Nasdaq stocks separately, I find that transaction costs & constraints have a significant positive (negative) impact on market efficiency for Nasdaq (non-Nasdaq) stocks, whereas short sales costs & constraints and dispersion in investor valuations have ambiguous impacts on market efficiency, that Fama-French Factors are substantially important in affecting these relationships in sign and significance, and that market efficiency is not directly positively associated with trading volume, short interest, number of analysts, institutional holdings, and number of market makers (for Nasdaq stocks), but is directly positively associated with shares outstanding.
市场效率——一个结构性研究
我用8个不同的指标作为衡量股票市场效率的独立客观和系统的指标。我开发了一个七方程(非纳斯达克股票为六方程)结构模型,其中市场效率是外生因素(交易成本和约束、卖空成本和约束以及投资者估值的分散)和内生市场活动(交易量、空头兴趣、分析师数量、机构持股、流通股和做市商数量(纳斯达克股票))的函数。每一个内生市场活动作为外生因素和所有其他内生市场活动的函数。我提出了一个理论模型,表明较高的交易量(或其他类似的市场活动)是由较低的交易成本、较低的卖空成本和/或较高的投资者估值分散性引起的,因此,交易成本或卖空成本对市场效率的影响是一个实证问题。我应用三阶段最小二乘法和变量误差来估计结构系统并测试相应的假设,使用基于面板的仪器策略对内生的和不准确测量的变量。分别分析纳斯达克和非纳斯达克股票,我发现交易成本和约束对纳斯达克(非纳斯达克)股票的市场效率有显著的正(负)影响,而卖空成本和投资者估值的约束和分散对市场效率的影响是模糊的,Fama-French因子在影响这些关系的符号和显著性方面都非常重要。市场效率与交易量、空头、分析师数量、机构持有量和做市商数量(纳斯达克股票)没有直接正相关,但与流通股直接正相关。
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