The smallest firm effect: An international study
Abstract
Using a carefully screened and filtered international data base with a wide coverage across countries and size classes, this paper identifies and documents a post-1980s size effect which is persistent, not picked up by a Fama-French-style SMB, and largely due to the smallest-decile stocks. We test for potential explanations (such as market risk, infrequent trading, financial distress risk, missing book-values, momentum, liquidity risk, changing business conditions, January effect, exchange risk, time-varying risk loadings and dividend yield effects), but none can quite explain the international size effect, whether separately or jointly. Fully identifying the missing risk factor is beyond the scope of this paper but we do find that dividend yield shows up as a significant characteristic in the cross-section of risk-adjusted returns, even after controlling for time-varying risk loadings linearly related to dividend yield. When we construct two ad-hoc risk factors that jointly capture the documented size effect, and then correlate these factors with characteristics-based portfolios, we likewise find that especially dividend yield seems to play an important role in the missing risk factor. More generally, this paper revives the debate on the small-firm effect and, we hope, will stimulate further research on a class of stocks that are too interesting to ignore.Download Info
If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.Bibliographic Info
Paper provided by Katholieke Universiteit Leuven in its series Open Access publications from Katholieke Universiteit Leuven with number urn:hdl:123456789/320645.Length:
Date of creation: 2011
Date of revision:
Handle: RePEc:ner:leuven:urn:hdl:123456789/320645
Contact details of provider:
Web page: http://www.kuleuven.be
Related research
Keywords: forex; exposure; anomaly; Fama; French; dividend yield; liquidity; missing factor; size effect; small firm; JEL-codes: C13; C22; G11; G12.;Other versions of this item:
- De Moor, Lieven & Sercu, Piet, 2011. "The Smallest Firm Effect: an International Study," Working Papers 2011/18, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
- F59 - International Economics - - International Relations and International Political Economy - - - Other
- L16 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Industrial Organization and Macroeconomics; Macroeconomic Industrial Structure
- L22 - Industrial Organization - - Firm Objectives, Organization, and Behavior - - - Firm Organization and Market Structure
- N44 - Economic History - - Government, War, Law, International Relations, and Regulation - - - Europe: 1913-
References
References listed on IDEASPlease report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Acharya, Viral V & Pedersen, Lasse Heje, 2004.
"Asset Pricing with Liquidity Risk,"
CEPR Discussion Papers
4718, C.E.P.R. Discussion Papers.
- Acharya, Viral V. & Pedersen, Lasse Heje, 2005. "Asset pricing with liquidity risk," Journal of Financial Economics, Elsevier, vol. 77(2), pages 375-410, August.
- Viral V. Acharya & Lasse Heje Pedersen, 2004. "Asset Pricing with Liquidity Risk," NBER Working Papers 10814, National Bureau of Economic Research, Inc.
- Acharya, Viral V & Pedersen, Lasse Heje, 2003. "Asset Pricing with Liquidity Risk," CEPR Discussion Papers 3749, C.E.P.R. Discussion Papers.
- Donald B. Keim, .
"Dividend Yields and Stock Returns: Implications of Abnormal January Returns,"
Rodney L. White Center for Financial Research Working Papers
14-85, Wharton School Rodney L. White Center for Financial Research.
- Keim, Donald B., 1985. "Dividend yields and stock returns: Implications of abnormal January returns," Journal of Financial Economics, Elsevier, vol. 14(3), pages 473-489, September.
- Gomes, Joao F & Kogan, Leonid & Zhang, Lu, 2002.
"Equilibrium Cross-Section of Returns,"
CEPR Discussion Papers
3482, C.E.P.R. Discussion Papers.
- Joao Gomes & Leonid Kogan & Lu Zhang, 2003. "Equilibrium Cross Section of Returns," Journal of Political Economy, University of Chicago Press, vol. 111(4), pages 693-732, August.
- Carhart, Mark M, 1997. " On Persistence in Mutual Fund Performance," Journal of Finance, American Finance Association, vol. 52(1), pages 57-82, March.
- Fama, Eugene F & French, Kenneth R, 1992. " The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-65, June.
- Breeden, Douglas T., 1979. "An intertemporal asset pricing model with stochastic consumption and investment opportunities," Journal of Financial Economics, Elsevier, vol. 7(3), pages 265-296, September.
- Sadka, Ronnie, 2006. "Momentum and post-earnings-announcement drift anomalies: The role of liquidity risk," Journal of Financial Economics, Elsevier, vol. 80(2), pages 309-349, May.
- Gabriel Hawawini & Pierre Michel & Albert Corhay, . "A Look at the Validity of the CAPM in Light of Equity Market Anomalies: The Case of Belgian Common Stocks," Rodney L. White Center for Financial Research Working Papers 10-88, Wharton School Rodney L. White Center for Financial Research.
- Liu, Weimin, 2006. "A liquidity-augmented capital asset pricing model," Journal of Financial Economics, Elsevier, vol. 82(3), pages 631-671, December.
- Chan, Louis K C & Hamao, Yasushi & Lakonishok, Josef, 1991. " Fundamentals and Stock Returns in Japan," Journal of Finance, American Finance Association, vol. 46(5), pages 1739-64, December.
- Scholes, Myron & Williams, Joseph, 1977. "Estimating betas from nonsynchronous data," Journal of Financial Economics, Elsevier, vol. 5(3), pages 309-327, December.
- Barry, Christopher B. & Goldreyer, Elizabeth & Lockwood, Larry & Rodriguez, Mauricio, 2002. "Robustness of size and value effects in emerging equity markets, 1985-2000," Emerging Markets Review, Elsevier, vol. 3(1), pages 1-30, March.
- Brennan, Michael J. & Subrahmanyam, Avanidhar, 1996. "Market microstructure and asset pricing: On the compensation for illiquidity in stock returns," Journal of Financial Economics, Elsevier, vol. 41(3), pages 441-464, July.
- Ozgur S. Ince & R. Burt Porter, 2006. "INDIVIDUAL EQUITY RETURN DATA FROM THOMSON DATASTREAM: HANDLE WITH CARE!," Journal of Financial Research, Southern Finance Association & Southwestern Finance Association, vol. 29(4), pages 463-479.
- Jagannathan, Ravi & Wang, Zhenyu, 1996.
" The Conditional CAPM and the Cross-Section of Expected Returns,"
Journal of Finance,
American Finance Association, vol. 51(1), pages 3-53, March.
- Ravi Jagannathan & Zhenyu Wang, 1996. "The conditional CAPM and the cross-section of expected returns," Staff Report 208, Federal Reserve Bank of Minneapolis.
- Jonathan Lewellen & Stefan Nagel, 2003.
"The Conditional CAPM does not Explain Asset-Pricing Anamolies,"
NBER Working Papers
9974, National Bureau of Economic Research, Inc.
- Lewellen, Jonathan & Nagel, Stefan, 2006. "The conditional CAPM does not explain asset-pricing anomalies," Journal of Financial Economics, Elsevier, vol. 82(2), pages 289-314, November.
- Lewellen, Jonathan & Nagel, Stefan, 2003. "The Conditional CAPM Does Not Explain Asset-pricing Anomalies," Working papers 4427-03, Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Pastor, Lubos & Stambaugh, Robert F., 2003.
"Liquidity Risk and Expected Stock Returns,"
Journal of Political Economy,
University of Chicago Press, vol. 111(3), pages 642-685, June.
- Lubos Pastor & Robert F. Stambaugh, 2001. "Liquidity Risk and Expected Stock Returns," NBER Working Papers 8462, National Bureau of Economic Research, Inc.
- Luboš Pástor & Robert F. Stambaugh, . "Liquidity Risk and Expected Stock Returns," CRSP working papers 531, Center for Research in Security Prices, Graduate School of Business, University of Chicago.
- Pástor, Luboš & Stambaugh, Robert F, 2002. "Liquidity Risk and Expected Stock Returns," CEPR Discussion Papers 3494, C.E.P.R. Discussion Papers.
- David Hirshleifer, 2001.
"Investor Psychology and Asset Pricing,"
Journal of Finance,
American Finance Association, vol. 56(4), pages 1533-1597, 08.
- Hirshleifer, David, 2001. "Investor Psychology and Asset Pricing," MPRA Paper 5300, University Library of Munich, Germany.
- Martin Lettau & Sydney Ludvigson, 1999.
"Resurrecting the (C)CAPM: a cross-sectional test when risk premia are time-varying,"
Staff Reports
93, Federal Reserve Bank of New York.
- Martin Lettau & Sydney Ludvigson, 2001. "Resurrecting the (C)CAPM: A Cross-Sectional Test When Risk Premia Are Time-Varying," Journal of Political Economy, University of Chicago Press, vol. 109(6), pages 1238-1287, December.
- Steven L. Heston & K. Geert Rouwenhorst & Roberto E. Wessels, 1999.
"The Role of Beta and Size in the Cross-Section of European Stock Returns,"
European Financial Management,
European Financial Management Association, vol. 5(1), pages 9-27.
- Steven Heston & K. Rouwenhorst & Roberto Wessels, 2008. "The Role of Beta and Size in the Cross-Section of European Stock Returns," Yale School of Management Working Papers ysm86, Yale School of Management.
- Cohen, Kalman J. & Hawawini, Gabriel A. & Maier, Steven F. & Schwartz, Robert A. & Whitcomb, David K., 1983. "Friction in the trading process and the estimation of systematic risk," Journal of Financial Economics, Elsevier, vol. 12(2), pages 263-278, August.
- Jorion, Philippe, 1990. "The Exchange-Rate Exposure of U.S. Multinationals," The Journal of Business, University of Chicago Press, vol. 63(3), pages 331-45, July.
- Knez, Peter J & Ready, Mark J, 1997. " On the Robustness of Size and Book-to-Market in Cross-Sectional Regressions," Journal of Finance, American Finance Association, vol. 52(4), pages 1355-82, September.
- Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-36, May-June.
- John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2005.
"In Searach of Distress Risk,"
Harvard Institute of Economic Research Working Papers
2081, Harvard - Institute of Economic Research.
- John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2008. "In Search of Distress Risk," Journal of Finance, American Finance Association, vol. 63(6), pages 2899-2939, December.
- Campbell, John Y. & Hilscher, Jens & Szilagyi, Jan, 2005. "In search of distress risk," Discussion Paper Series 1: Economic Studies 2005,27, Deutsche Bundesbank, Research Centre.
- Szilagyi, Jan & Hilscher, Jens & Campbell, John, 2008. "In Search of Distress Risk," Scholarly Articles 3199070, Harvard University Department of Economics.
- John Y. Campbell & Jens Hilscher & Jan Szilagyi, 2006. "In Search of Distress Risk," NBER Working Papers 12362, National Bureau of Economic Research, Inc.
- Solnik, Bruno H., 1974. "An equilibrium model of the international capital market," Journal of Economic Theory, Elsevier, vol. 8(4), pages 500-524, August.
- Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
- Ross, Stephen A., 1976. "The arbitrage theory of capital asset pricing," Journal of Economic Theory, Elsevier, vol. 13(3), pages 341-360, December.
- Brown, Philip & Keim, Donald B. & Kleidon, Allan W. & Marsh, Terry A., 1983. "Stock return seasonalities and the tax-loss selling hypothesis : Analysis of the arguments and Australian evidence," Journal of Financial Economics, Elsevier, vol. 12(1), pages 105-127, June.
- Jonathan B. Berk & Richard C. Green & Vasant Naik, 1999.
"Optimal Investment, Growth Options, and Security Returns,"
Journal of Finance,
American Finance Association, vol. 54(5), pages 1553-1607, October.
- Jonathan Berk & Richard C. Green & Vasant Naik, 1998. "Optimal Investment, Growth Options, and Security Returns," NBER Working Papers 6627, National Bureau of Economic Research, Inc.
- Jonathan Berk & Richard C. Green & Vasant Naik, . "Optimal Investment, Growth Options and Security Returns," GSIA Working Papers 64, Carnegie Mellon University, Tepper School of Business.
- Clare, Andrew D. & Priestley, Richard, 1998. "Risk factors in the Malaysian stock market," Pacific-Basin Finance Journal, Elsevier, vol. 6(1-2), pages 103-114, May.
- Rubio, Gonzalo, 1988. "Further international evidence on asset pricing : The case of the Spanish capital market," Journal of Banking & Finance, Elsevier, vol. 12(2), pages 221-242, June.
- Ilia D. Dichev, 1998. "Is the Risk of Bankruptcy a Systematic Risk?," Journal of Finance, American Finance Association, vol. 53(3), pages 1131-1147, 06.
- Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
- Geert Bekaert & Campbell R. Harvey & Christian Lundblad, 2007.
"Liquidity and Expected Returns: Lessons from Emerging Markets,"
Review of Financial Studies,
Society for Financial Studies, vol. 20(6), pages 1783-1831, November.
- Bekaert, Geert & Harvey, Campbell & Lundblad, Christian T., 2006. "Liquidity and Expected Returns: Lessons from Emerging Markets," CEPR Discussion Papers 5946, C.E.P.R. Discussion Papers.
- Geert Bekaert & Campbell R. Harvey & Christian Lundblad, 2005. "Liquidity and Expected Returns: Lessons From Emerging Markets," NBER Working Papers 11413, National Bureau of Economic Research, Inc.
- Lee, Kuan-Hui, 2011. "The world price of liquidity risk," Journal of Financial Economics, Elsevier, vol. 99(1), pages 136-161, January.
- Eleswarapu, Venkat R. & Reinganum, Marc R., 1993. "The seasonal behavior of the liquidity premium in asset pricing," Journal of Financial Economics, Elsevier, vol. 34(3), pages 373-386, December.
- Chen, Nai-Fu & Roll, Richard & Ross, Stephen A, 1986. "Economic Forces and the Stock Market," The Journal of Business, University of Chicago Press, vol. 59(3), pages 383-403, July.
- Wahlroos, Bjorn & Berglund, Tom, 1986. "Anomalies and equilibrium returns in a small stock market," Journal of Business Research, Elsevier, vol. 14(5), pages 423-440, October.
- K. Geert Rouwenhorst, 1999.
"Local Return Factors and Turnover in Emerging Stock Markets,"
Journal of Finance,
American Finance Association, vol. 54(4), pages 1439-1464, 08.
- K. Rouwenhorst, 1998. "Local Return Factors and Turnover in Emerging Stock Markets," Yale School of Management Working Papers ysm97, Yale School of Management, revised 01 Mar 2001.
- Brooks, Robert D. & Faff, Robert W. & Fry, Tim R. L., 2001. "GARCH modelling of individual stock data: the impact of censoring, firm size and trading volume," Journal of International Financial Markets, Institutions and Money, Elsevier, vol. 11(2), pages 215-222, June.
- Lesmond, David A & Ogden, Joseph P & Trzcinka, Charles A, 1999. "A New Estimate of Transaction Costs," Review of Financial Studies, Society for Financial Studies, vol. 12(5), pages 1113-41.
- Brown, Philip & Kleidon, Allan W. & Marsh, Terry A., 1983. "New evidence on the nature of size-related anomalies in stock prices," Journal of Financial Economics, Elsevier, vol. 12(1), pages 33-56, June.
- Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
- Akiko Watanabe & Masahiro Watanabe, 2008. "Time-Varying Liquidity Risk and the Cross Section of Stock Returns," Review of Financial Studies, Society for Financial Studies, vol. 21(6), pages 2449-2486, November.
- Keim, Donald B., 1983. "Size-related anomalies and stock return seasonality : Further empirical evidence," Journal of Financial Economics, Elsevier, vol. 12(1), pages 13-32, June.
- Merton, Robert C, 1987.
" A Simple Model of Capital Market Equilibrium with Incomplete Information,"
Journal of Finance,
American Finance Association, vol. 42(3), pages 483-510, July.
- Merton, Robert C., 1987. "A simple model of capital market equilibrium with incomplete information," Working papers 1869-87., Massachusetts Institute of Technology (MIT), Sloan School of Management.
- Christie, William G., 1990. "Dividend yield and expected returns *1: The zero-dividend puzzle," Journal of Financial Economics, Elsevier, vol. 28(1-2), pages 95-125.
- Tano Santos & Pietro Veronesi, 2006. "Labor Income and Predictable Stock Returns," Review of Financial Studies, Society for Financial Studies, vol. 19(1), pages 1-44.
- Cox, John C & Ingersoll, Jonathan E, Jr & Ross, Stephen A, 1985. "An Intertemporal General Equilibrium Model of Asset Prices," Econometrica, Econometric Society, vol. 53(2), pages 363-84, March.
- Dimson, Elroy, 1979. "Risk measurement when shares are subject to infrequent trading," Journal of Financial Economics, Elsevier, vol. 7(2), pages 197-226, June.
- Ferson, Wayne E & Schadt, Rudi W, 1996. " Measuring Fund Strategy and Performance in Changing Economic Conditions," Journal of Finance, American Finance Association, vol. 51(2), pages 425-61, June.
- Lau, Sie Ting & Lee, Chee Tong & McInish, Thomas H., 2002. "Stock returns and beta, firms size, E/P, CF/P, book-to-market, and sales growth: evidence from Singapore and Malaysia," Journal of Multinational Financial Management, Elsevier, vol. 12(3), pages 207-222, July.
- Maria Vassalou & Yuhang Xing, 2004. "Default Risk in Equity Returns," Journal of Finance, American Finance Association, vol. 59(2), pages 831-868, 04.
- Pinfold, John F. & Wilson, William R. & Li, Qiuli, 2001. "Book-to-market and size as determinants of returns in small illiquid markets: the New Zealand case," Financial Services Review, Elsevier, vol. 10(1-4), pages 291-302.
- Ralitsa Petkova, 2006. "Do the Fama-French Factors Proxy for Innovations in Predictive Variables?," Journal of Finance, American Finance Association, vol. 61(2), pages 581-612, 04.
Citations
Lists
This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.Statistics
Access and download statisticsCorrections
When requesting a correction, please mention this item's handle: RePEc:ner:leuven:urn:hdl:123456789/320645For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Carl Demeyere).
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If references are entirely missing, you can add them using this form.
If the full references list an item that is present in RePEc, but the system did not link to it, you can help with this form.
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your profile, as there may be some citations waiting for confirmation.
Please note that corrections may take a couple of weeks to filter through the various RePEc services.

