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Penny Wise, Dollar Foolish: Buy-Sell Imbalances On and Around Round Numbers

Author

Listed:
  • Utpal Bhattacharya

    (Kelley School of Business, Indiana University, Bloomington, Indiana 47405)

  • Craig W. Holden

    (Kelley School of Business, Indiana University, Bloomington, Indiana 47405)

  • Stacey Jacobsen

    (Cox School of Business, Southern Methodist University, Dallas, Texas 75275)

Abstract

This paper provides evidence that stock traders focus on round numbers as cognitive reference points for value. Using a random sample of more than 100 million stock transactions, we find excess buying (selling) by liquidity demanders at all price points one penny below (above) round numbers. Further, the size of the buy-sell imbalance is monotonic in the roundness of the adjacent round number (i.e., largest adjacent to integers, second-largest adjacent to half-dollars, etc.). Conditioning on the price path, we find much stronger excess buying (selling) by liquidity demanders when the ask falls (bid rises) to reach the integer than when it crosses the integer. We discuss and test three explanations for these results. Finally, 24-hour returns also vary by price point, and buy-sell imbalances are a major determinant of that variation across price points. Buying (selling) by liquidity demanders below (above) round numbers yield losses approaching $1 billion per year. This paper was accepted by Brad Barber, Teck Ho, and Terrance Odean, special issue editors.

Suggested Citation

  • Utpal Bhattacharya & Craig W. Holden & Stacey Jacobsen, 2012. "Penny Wise, Dollar Foolish: Buy-Sell Imbalances On and Around Round Numbers," Management Science, INFORMS, vol. 58(2), pages 413-431, February.
  • Handle: RePEc:inm:ormnsc:v:58:y:2012:i:2:p:413-431
    DOI: 10.1287/mnsc.1110.1364
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    References listed on IDEAS

    as
    1. Kenneth A. Kavajecz, 1999. "A Specialist's Quoted Depth and the Limit Order Book," Journal of Finance, American Finance Association, vol. 54(2), pages 747-771, April.
    2. Kenneth A. Kavajecz, 2004. "Technical Analysis and Liquidity Provision," The Review of Financial Studies, Society for Financial Studies, vol. 17(4), pages 1043-1071.
    3. Jyrki Niskanen & Matti Keloharju, 2000. "Earnings cosmetics in a tax-driven accounting environment: evidence from Finnish public firms," European Accounting Review, Taylor & Francis Journals, vol. 9(3), pages 443-452.
    4. Barberis, Nicholas & Thaler, Richard, 2003. "A survey of behavioral finance," Handbook of the Economics of Finance, in: G.M. Constantinides & M. Harris & R. M. Stulz (ed.), Handbook of the Economics of Finance, edition 1, volume 1, chapter 18, pages 1053-1128, Elsevier.
    5. Chordia, Tarun & Roll, Richard & Subrahmanyam, Avanidhar, 2002. "Order imbalance, liquidity, and market returns," Journal of Financial Economics, Elsevier, vol. 65(1), pages 111-130, July.
    6. Shleifer, Andrei, 2000. "Inefficient Markets: An Introduction to Behavioral Finance," OUP Catalogue, Oxford University Press, number 9780198292272.
    7. Huang, Roger D & Stoll, Hans R, 1997. "The Components of the Bid-Ask Spread: A General Approach," The Review of Financial Studies, Society for Financial Studies, vol. 10(4), pages 995-1034.
    8. Lee, Charles M C & Ready, Mark J, 1991. "Inferring Trade Direction from Intraday Data," Journal of Finance, American Finance Association, vol. 46(2), pages 733-746, June.
    9. David Hirshleifer, 2001. "Investor Psychology and Asset Pricing," Journal of Finance, American Finance Association, vol. 56(4), pages 1533-1597, August.
    10. Chaoshin Chiao & Zi‐May Wang, 2009. "Price Clustering: Evidence Using Comprehensive Limit‐Order Data," The Financial Review, Eastern Finance Association, vol. 44(1), pages 1-29, February.
    11. David Bourghelle & A. Cellier, 2009. "Limit order clustering and price barriers on financial markets : evidence from Euronext," Post-Print hal-00404555, HAL.
    12. Schindler, Robert M & Kirby, Patrick N, 1997. "Patterns of Rightmost Digits Used in Advertised Prices: Implications for Nine-Ending Effects," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(2), pages 192-201, September.
    13. Manoj Thomas & Vicki Morwitz, 2005. "Penny Wise and Pound Foolish: The Left-Digit Effect in Price Cognition," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 32(1), pages 54-64, June.
    14. Yusif Simaan & Daniel G. Weaver & David K. Whitcomb, 2003. "Market Maker Quotation Behavior and Pretrade Transparency," Journal of Finance, American Finance Association, vol. 58(3), pages 1247-1267, June.
    15. Christie, William G & Schultz, Paul H, 1994. "Why Do NASDAQ Market Makers Avoid Odd-Eighth Quotes?," Journal of Finance, American Finance Association, vol. 49(5), pages 1813-1840, December.
    16. Stiving, Mark & Winer, Russell S, 1997. "An Empirical Analysis of Price Endings with Scanner Data," Journal of Consumer Research, Journal of Consumer Research Inc., vol. 24(1), pages 57-67, June.
    17. Eric Anderson & Duncan Simester, 2003. "Effects of $9 Price Endings on Retail Sales: Evidence from Field Experiments," Quantitative Marketing and Economics (QME), Springer, vol. 1(1), pages 93-110, March.
    18. Brenner, Gabrielle A & Brenner, Reuven, 1982. "Memory and Markets, or Why Are You Paying $2.99 for a Widget?," The Journal of Business, University of Chicago Press, vol. 55(1), pages 147-158, January.
    19. Harris, Lawrence, 1991. "Stock Price Clustering and Discreteness," The Review of Financial Studies, Society for Financial Studies, vol. 4(3), pages 389-415.
    20. Henker, Thomas & Wang, Jian-Xin, 2006. "On the importance of timing specifications in market microstructure research," Journal of Financial Markets, Elsevier, vol. 9(2), pages 162-179, May.
    21. M. F. M. Osborne, 1962. "Periodic Structure in the Brownian Motion of Stock Prices," Operations Research, INFORMS, vol. 10(3), pages 345-379, June.
    22. Joel Hasbrouck, 2009. "Trading Costs and Returns for U.S. Equities: Estimating Effective Costs from Daily Data," Journal of Finance, American Finance Association, vol. 64(3), pages 1445-1477, June.
    23. Harris, Lawrence, 1989. "A Day-End Transaction Price Anomaly," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 24(1), pages 29-45, March.
    24. Lee, Charles M. C. & Radhakrishna, Balkrishna, 2000. "Inferring investor behavior: Evidence from TORQ data," Journal of Financial Markets, Elsevier, vol. 3(2), pages 83-111, May.
    25. repec:bla:jfinan:v:58:y:2003:i:3:p:1247-1268 is not listed on IDEAS
    26. Ahn, Hee-Joon & Cai, Jun & Cheung, Yan Leung, 2005. "Price clustering on the limit-order book: Evidence from the Stock Exchange of Hong Kong," Journal of Financial Markets, Elsevier, vol. 8(4), pages 421-451, November.
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