IDEAS home Printed from https://ideas.repec.org/a/oup/rfinst/v13y2000i2p257-300.html
   My bibliography  Save this article

Trading Volume: Definitions, Data Analysis, and Implications of Portfolio Theory

Author

Listed:
  • Lo, Andrew W
  • Wang, Jiang

Abstract

We examine the implications of portfolio theory for the cross-sectional behavior of equity trading volume. Two-fund separation theorems suggest a natural definition for trading activity: share turnover. If two-fund separation holds, share turnover must be identical for all securities. If (K + 1)-fund separation holds, we show that turnover satisfies an approximately linear K-factor structure. These implications are examined empirically using individual weekly turnover data for NYSE and AMEX securities from 1962 to 1996. We find strong evidence against two-fund separation, and a principal-components decomposition suggests that turnover is well approximated by a two-factor linear model. Article published by Oxford University Press on behalf of the Society for Financial Studies in its journal, The Review of Financial Studies.

Suggested Citation

  • Lo, Andrew W & Wang, Jiang, 2000. "Trading Volume: Definitions, Data Analysis, and Implications of Portfolio Theory," The Review of Financial Studies, Society for Financial Studies, vol. 13(2), pages 257-300.
    • Handle: RePEc:oup:rfinst:v:13:y:2000:i:2:p:257-300
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a search for a similarly titled item that would be available.

    Other versions of this item:

    References listed on IDEAS

    as
    1. Conrad, Jennifer S & Hameed, Allaudeen & Niden, Cathy, 1994. "Volume and Autocovariances in Short-Horizon Individual Security Returns," Journal of Finance, American Finance Association, vol. 49(4), pages 1305-1329, September.
    2. Karpoff, Jonathan M. & Walkling, Ralph A., 1990. "Dividend capture in NASDAQ stocks," Journal of Financial Economics, Elsevier, vol. 28(1-2), pages 39-65.
    3. Kwiatkowski, Denis & Phillips, Peter C. B. & Schmidt, Peter & Shin, Yongcheol, 1992. "Testing the null hypothesis of stationarity against the alternative of a unit root : How sure are we that economic time series have a unit root?," Journal of Econometrics, Elsevier, vol. 54(1-3), pages 159-178.
    4. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
    5. John Y. Campbell & Sanford J. Grossman & Jiang Wang, 1993. "Trading Volume and Serial Correlation in Stock Returns," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 108(4), pages 905-939.
    6. James, Christopher M & Edmister, Robert O, 1983. "The Relation between Common Stock Returns Trading Activity and Market Value," Journal of Finance, American Finance Association, vol. 38(4), pages 1075-1086, September.
    7. Harris, Lawrence E & Gurel, Eitan, 1986. "Price and Volume Effects Associated with Changes in the S&P 500 List: New Evidence for the Existence of Price Pressures," Journal of Finance, American Finance Association, vol. 41(4), pages 815-829, September.
    8. 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.
    9. Lamoureux, Christopher G & Lastrapes, William D, 1990. "Heteroskedasticity in Stock Return Data: Volume versus GARCH Effects," Journal of Finance, American Finance Association, vol. 45(1), pages 221-229, March.
    10. Chamberlain, Gary & Rothschild, Michael, 1983. "Arbitrage, Factor Structure, and Mean-Variance Analysis on Large Asset Markets," Econometrica, Econometric Society, vol. 51(5), pages 1281-1304, September.
    11. Chamberlain, Gary, 1983. "Funds, Factors, and Diversification in Arbitrage Pricing Models," Econometrica, Econometric Society, vol. 51(5), pages 1305-1323, September.
    12. Bamber, Ls, 1986. "The Information-Content Of Annual Earnings Releases - A Trading Volume Approach," Journal of Accounting Research, Wiley Blackwell, vol. 24(1), pages 40-56.
    13. Dhillon, Upinder & Johnson, Herb, 1991. "Changes in the Standard and Poor's 500 List," The Journal of Business, University of Chicago Press, vol. 64(1), pages 75-85, January.
    14. Karpoff, Jonathan M. & Walkling, Ralph A., 1988. "Short-term trading around ex-dividend days : Additional evidence," Journal of Financial Economics, Elsevier, vol. 21(2), pages 291-298, September.
    15. Dumas, Bernard, 1989. "Two-Person Dynamic Equilibrium in the Capital Market," The Review of Financial Studies, Society for Financial Studies, vol. 2(2), pages 157-188.
    16. Hiemstra, Craig & Jones, Jonathan D, 1994. "Testing for Linear and Nonlinear Granger Causality in the Stock Price-Volume Relation," Journal of Finance, American Finance Association, vol. 49(5), pages 1639-1664, December.
    17. Jain, Prem C. & Joh, Gun-Ho, 1988. "The Dependence between Hourly Prices and Trading Volume," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 23(3), pages 269-283, September.
    18. Lakonishok, Josef & Smidt, Seymour, 1986. "Volume for Winners and Losers: Taxation and Other Motives for Stock Trading," Journal of Finance, American Finance Association, vol. 41(4), pages 951-974, September.
    19. Lakonishok, Josef & Vermaelen, Theo, 1986. "Tax-induced trading around ex-dividend days," Journal of Financial Economics, Elsevier, vol. 16(3), pages 287-319, July.
    20. Beaver, Wh, 1968. "Information Content Of Annual Earnings Announcements," Journal of Accounting Research, Wiley Blackwell, vol. 6, pages 67-92.
    21. Epps, Thomas W & Epps, Mary Lee, 1976. "The Stochastic Dependence of Security Price Changes and Transaction Volumes: Implications for the Mixture-of-Distributions Hypothesis," Econometrica, Econometric Society, vol. 44(2), pages 305-321, March.
    22. He, Hua & Wang, Jiang, 1995. "Differential Information and Dynamic Behavior of Stock Trading Volume," The Review of Financial Studies, Society for Financial Studies, vol. 8(4), pages 919-972.
    23. Karpoff, Jonathan M., 1987. "The Relation between Price Changes and Trading Volume: A Survey," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 22(1), pages 109-126, March.
    24. Brown, Keith C. & Harlow, W. V. & Tinic, Seha M., 1993. "The Risk and Required Return of Common Stock following Major Price Innovations," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 28(1), pages 101-116, March.
    25. 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 363-384, March.
    26. Lamoureux, Christopher G & Lastrapes, William D, 1994. "Endogenous Trading Volume and Momentum in Stock-Return Volatility," Journal of Business & Economic Statistics, American Statistical Association, vol. 12(2), pages 253-260, April.
    27. Allen B. Atkins & Edward A. Dyl, 1997. "Market Structure And Reported Trading Volume: Nasdaq Versus The Nyse," Journal of Financial Research, Southern Finance Association;Southwestern Finance Association, vol. 20(3), pages 291-304, September.
    28. Cass, David & Stiglitz, Joseph E., 1970. "The structure of investor preferences and asset returns, and separability in portfolio allocation: A contribution to the pure theory of mutual funds," Journal of Economic Theory, Elsevier, vol. 2(2), pages 122-160, June.
    29. Black, Fischer, 1972. "Capital Market Equilibrium with Restricted Borrowing," The Journal of Business, University of Chicago Press, vol. 45(3), pages 444-455, July.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Andrew W. Lo & Jiang Wang, 2006. "Trading Volume: Implications of an Intertemporal Capital Asset Pricing Model," Journal of Finance, American Finance Association, vol. 61(6), pages 2805-2840, December.
    2. Jiang Wang, 2002. "Trading Volume and Asset Prices," Annals of Economics and Finance, Society for AEF, vol. 3(2), pages 299-359, November.
    3. Yadav, Pradeep K., 1992. "Event studies based on volatility of returns and trading volume: A review," The British Accounting Review, Elsevier, vol. 24(2), pages 157-184.
    4. Senteney, David L. & Bazaz, Mohammad S. & Senteney, Michael H., 2016. "Cross-market information transfers of ADR firms: An investigation of emerging market economies," Research in International Business and Finance, Elsevier, vol. 37(C), pages 655-677.
    5. Yamani, Ehab, 2023. "Return–volume nexus in financial markets: A survey of research," Research in International Business and Finance, Elsevier, vol. 65(C).
    6. Mark Iarovyi & sasson Bar Yosef & Itzhak Venezia, 2017. "Implied Maturity Mismatches and Investor Disagreement," Proceedings of Economics and Finance Conferences 4507072, International Institute of Social and Economic Sciences.
    7. Chen, Gong-meng & Firth, Michael & Rui, Oliver M, 2001. "The Dynamic Relation between Stock Returns, Trading Volume, and Volatility," The Financial Review, Eastern Finance Association, vol. 36(3), pages 153-173, August.
    8. Kausik Chaudhuri & Alok Kumar, 2015. "A Markov-Switching Model for Indian Stock Price and Volume," Journal of Emerging Market Finance, Institute for Financial Management and Research, vol. 14(3), pages 239-257, December.
    9. Sarika Mahajan & Balwinder Singh, 2008. "An Empirical Analysis of Stock Price-Volume Relationship in Indian Stock Market," Vision, , vol. 12(3), pages 1-13, July.
    10. Ashok Chanabasangouda Patil & Shailesh Rastogi, 2019. "Time-Varying Price–Volume Relationship and Adaptive Market Efficiency: A Survey of the Empirical Literature," JRFM, MDPI, vol. 12(2), pages 1-18, June.
    11. Serge Darolles & Gaëlle Le Fol, 2003. "Trading Volume and Arbitrage," Working Papers 2003-46, Center for Research in Economics and Statistics.
    12. Jinliang Li, 2016. "When noise trading fades, volatility rises," Review of Quantitative Finance and Accounting, Springer, vol. 47(3), pages 475-512, October.
    13. Ainhoa Zarraga Alonso, 1998. "Análisis de causalidad entre rendimiento y volumen," Investigaciones Economicas, Fundación SEPI, vol. 22(1), pages 45-67, January.
    14. Agapova, Anna & Kaprielyan, Margarita, 2020. "Stock volatility and trading," The North American Journal of Economics and Finance, Elsevier, vol. 54(C).
    15. Brajesh Kumar, 2010. "The Dynamic Relationship between Price and Trading Volume: Evidence from Indian Stock Market," Working Papers id:2379, eSocialSciences.
    16. Dyl, Edward A. & Yuksel, H. Zafer & Zaynutdinova, Gulnara R., 2019. "Price reversals and price continuations following large price movements," Journal of Business Research, Elsevier, vol. 95(C), pages 1-12.
    17. Sinha, Pankaj & Agnihotri, Shalini, 2014. "Investigating impact of volatility persistence, market asymmetry and information inflow on volatility of stock indices using bivariate GJR-GARCH," MPRA Paper 58303, University Library of Munich, Germany.
    18. Chuang, Wen-I & Liu, Hsiang-Hsi & Susmel, Rauli, 2012. "The bivariate GARCH approach to investigating the relation between stock returns, trading volume, and return volatility," Global Finance Journal, Elsevier, vol. 23(1), pages 1-15.
    19. Taylor, Nicholas, 2008. "Can idiosyncratic volatility help forecast stock market volatility?," International Journal of Forecasting, Elsevier, vol. 24(3), pages 462-479.
    20. Anirut Pisedtasalasai & Abeyratna Gunasekarage, 2007. "Causal and Dynamic Relationships among Stock Returns, Return Volatility and Trading Volume: Evidence from Emerging markets in South-East Asia," Asia-Pacific Financial Markets, Springer;Japanese Association of Financial Economics and Engineering, vol. 14(4), pages 277-297, December.

    More about this item

    JEL classification:

    • G12 - Financial Economics - - General Financial Markets - - - Asset Pricing; Trading Volume; Bond Interest Rates

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:oup:rfinst:v:13:y:2000:i:2:p:257-300. See general information about how to correct material in RePEc.

    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 CitEc recognized a bibliographic reference but did not link an item in RePEc 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 RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Oxford University Press (email available below). General contact details of provider: https://edirc.repec.org/data/sfsssea.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.