A Stochastic Theory of Limit Order Transactions in Securities Markets
AbstractThe subject of this research paper is the same as the focus of criticisms in a recently released SEC report: namely, failures to display and execute limit orders in securities markets. Based on a statistical sample, the SEC study found frequent violations of limit order display rules. How pervasive are these kinds of violations in the market ?The theory in the paper addresses the question by identifying the probability density functions governing the display and execution of limit orders in properly functioning markets. The paper demonstrates that two distinct stochastic processes are sufficient to completely describe the execution of limit orders in markets: a conditional Binomial distribution compounded with a conditional Poisson distribution. These distributions permit rigorous tests of the statistical significance of the SEC sample findings.
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Bibliographic InfoArticle provided by Society for AEF in its journal Annals of Economics and Finance.
Volume (Year): 3 (2002)
Issue (Month): 1 (May)
Limit order executions; SEC limit order study;
Find related papers by JEL classification:
- G14 - Financial Economics - - General Financial Markets - - - Information and Market Efficiency; Event Studies; Insider Trading
- G24 - Financial Economics - - Financial Institutions and Services - - - Investment Banking; Venture Capital; Brokerage
Please 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.:
- Burton Hollifield & Robert Miller & Patrik Sandas, .
"Empirical Analysis of Limit Order Markets,"
GSIA Working Papers
-290183991, Carnegie Mellon University, Tepper School of Business.
- Cohen, Kalman J & Conroy, Robert M, 1990. "An Empirical Study of the Effect of Rule 19c-3," Journal of Law and Economics, University of Chicago Press, vol. 33(1), pages 277-305, April.
- Glosten, Lawrence R, 1994. " Is the Electronic Open Limit Order Book Inevitable?," Journal of Finance, American Finance Association, vol. 49(4), pages 1127-61, September.
- Dutta, Prajit K & Madhavan, Ananth, 1997. " Competition and Collusion in Dealer Markets," Journal of Finance, American Finance Association, vol. 52(1), pages 245-76, March.
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