Information Theory and Market Behavior

Some recent empirical works indicate that investor performance and market patterns are primarily information driven instead of a behavioral phenomenon. However, Grossman and Stiglitz information theory and its variations offer little guidance in identifying informed investors and in distinguishing between securities with scarce information and those with widely available information. We show that most empirical evidences about market behaviors documented in the literature can be explained by a new information theory generalized from Shannon’s entropy theory of information. Investor performance and market patterns are the results of information processing by investors of different sizes with different background knowledge.

[1]  Sanford J. Grossman On the Impossibility of Informationally Efficient Markets , 1980 .

[2]  Charles M. C. Lee,et al.  Price Momentum and Trading Volume , 1998 .

[3]  E. Fama Market Efficiency, Long-Term Returns, and Behavioral Finance , 1997 .

[4]  Terence Lim,et al.  Bad News Travels Slowly: Size, Analyst Coverage and the Profitability of Momentum Strategies , 1998 .

[5]  J. Stein,et al.  Differences of Opinion, Short-Sales Constraints, and Market Crashes , 2003 .

[6]  J. Stein,et al.  A Unified Theory of Underreaction, Momentum Trading and Overreaction in Asset Markets , 1997 .

[7]  Sheridan Titman,et al.  On Persistence in Mutual Fund Performance , 1997 .

[8]  Russ Wermers,et al.  Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses , 2000 .

[9]  K. E.,et al.  The Theory of Heat , 1929, Nature.

[10]  Z. Ivkovich,et al.  Local Does as Local is: Information Content of the Geography of Individual Investors' Common Stock Investments , 2002 .

[11]  R. Thaler,et al.  Does the Stock Market Overreact , 1985 .

[12]  Russ Wermers,et al.  The Value of Active Mutual Fund Management: An Examination of the Stockholdings and Trades of Fund Managers , 2000, Journal of Financial and Quantitative Analysis.

[13]  Jeffrey S. Racine,et al.  Entropy and predictability of stock market returns , 2002 .

[14]  Richard H. Thaler,et al.  Design Choices in Privatized Social-Security Systems: Learning from the Swedish Experience , 2004 .

[15]  Mark M. Carhart On Persistence in Mutual Fund Performance , 1997 .

[16]  Jeffrey Hales,et al.  Predicting the Next Step of a Random Walk: Experimental Evidence of Regime-Shifting Beliefs , 2001 .

[17]  R. Thaler,et al.  A Survey of Behavioral Finance , 2002 .

[18]  R. Kalra,et al.  Mutual Fund Performance: An Empirical Decomposition into Stock-Picking Talent, Style, Transactions Costs, and Expenses , 2001 .

[19]  A. Tversky,et al.  Judgment under Uncertainty: Heuristics and Biases , 1974, Science.

[20]  Philippe Jorion,et al.  GLOBAL STOCK MARKETS IN THE TWENTIETH CENTURY , 1999 .

[21]  Sang Joon Kim,et al.  A Mathematical Theory of Communication , 2006 .

[22]  The Market Impact of Trends and Sequences in Performance: New Evidence , 2003 .

[23]  Warren E. Buffett Warren Buffett on the Stock Market , 2006 .

[24]  Terrance Odean Do Investors Trade Too Much? , 1998 .

[25]  Charles H. Bennett Notes on the history of reversible computation , 2000, IBM J. Res. Dev..

[26]  L. Gulko THE ENTROPY THEORY OF BOND OPTION PRICING , 1999 .

[27]  N. Georgescu-Roegen The Entropy Law and the Economic Process , 1973 .

[28]  Kent D. Daniel,et al.  Presentation Slides for 'Investor Psychology and Security Market Under and Overreactions' , 1998 .

[29]  Brad M. Barber,et al.  Trading is Hazardous to Your Wealth: The Common Stock Investment Performance of Individual Investors , 2000 .

[30]  Joshua D. Coval,et al.  The Geography of Investment: Informed Trading and Asset Prices , 1999, Journal of Political Economy.

[31]  Narasimhan Jegadeesh,et al.  Returns to Buying Winners and Selling Losers: Implications for Stock Market Efficiency , 1993 .

[32]  Christoph Adami,et al.  Information theory in molecular biology , 2004, q-bio/0405004.

[33]  Soeren Hvidkjaer,et al.  A Trade-Based Analysis of Momentum , 2005 .

[34]  John A. List,et al.  Do professional traders exhibit myopic loss aversion? An experimental analysis , 2005 .

[35]  Marcin T. Kacperczyk,et al.  On the Industry Concentration of Actively Managed Equity Mutual Funds , 2004 .

[36]  W. E. Silver,et al.  Economics and Information Theory , 1967 .

[37]  J. Chen The Physical Foundation of Economics: An Analytical Thermodynamic Theory , 2005 .

[38]  R. Roll,et al.  The Hubris Hypothesis of Corporate Takeovers , 1986 .

[39]  Who Underreacts to Cash-Flow News? Evidence from Trading between Individuals and Institutions , 2002 .

[40]  Carl T. Bergstrom,et al.  Shannon information and biological fitness , 2004, Information Theory Workshop.

[41]  Devin M. Shanthikumar Small Trader Reactions to Consecutive Earnings Surprises , 2003 .

[42]  M. Hertzel,et al.  The Market Impact of Trends and Sequences in Performance: New Evidence , 2003 .

[43]  J. Chen Generalized Entropy Theory of Information and Market Patterns , 2005 .

[44]  Richard Schlegel,et al.  The Entropy Law and the Economic Process , 1973 .

[45]  Stephen E. Wilcox Investor Psychology and Security Market Under- and Overreactions , 1999 .

[46]  Richard M. Frankel,et al.  Testing Behavioral Finance Theories Using Trends and Sequences in Financial Performance , 2003 .

[47]  Christopher J. Malloy,et al.  The Geography of Equity Analysis , 2003 .

[48]  J. Chen An Entropy Theory of Psychology and its Implication to Behavioral Finance , 2003 .