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Samuelson’s Dictum and the Stock Market

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SAMUELSON’S DICTUM AND THE STOCK MARKET

BY JEEMAN JUNG and ROBERT J. SHILLER

COWLES FOUNDATION PAPER NO. 1183

COWLES FOUNDATION FOR RESEARCH IN ECONOMICS YALE UNIVERSITY Box 208281 New Haven, Connecticut 06520-8281 2006 http://cowles.econ.yale.edu/

SAMUELSON’S DICTUM AND THE STOCK MARKET
JEEMAN JUNG and ROBERT J. SHILLER*

Samuelson has offered the dictum that the stock market is ‘‘micro efficient’’ but ‘‘macro inefficient.’’ That is, the efficient markets hypothesis works much better for individual stocks than it does for the aggregate stock market. In this article, we review a strand of evidence in recent literature that supports Samuelson’s dictum and present one simple test, based on a regression and a simple scatter diagram, that …show more content…

246). Samuelson’s dictum asserts that individual-firm stock price variations are dominated by genuine information about future cash flows of the firm, but they are not perfect indicators of these cash flows either. Cohen et al. (2001) used a method similar to that in Vuolteenaho (2002) to derive a decomposition of the cross-portfolio variance of the log ratio of book value to market value into three components: a component that could be justified in terms of information about future cash flow, a component related to the persistence of the value spread, and what we might call an ‘‘inefficiency component’’ that generates predictable future returns.2 They also used a longer sample period, an international data set, and some improvements in method. Their conclusions with U.S. data 1937–97 and 192,661 firmyears were that 80% of the cross-sectional variance in the log ratio of book value to market value can be justified by the first few components, only 20% by the inefficiency component that explains 15-year returns. Their conclusion with international data on 22 countries 1982–98 and 27,913 firm-years was that 82% of the cross-sectional variance of bookto-market values was explained by the first two components, and only 18% by the inefficiency component that explains five-year returns.
2. Cohen et al. (2001) assembled firms into portfolios and looked at cross-portfolio variance rather than crossfirm variance. They did this because their (logarithmic) model does not allow

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