The Dynamics of Discrete Bid and Ask Quotes

46 Pages Posted: 7 Nov 2008

See all articles by Joel Hasbrouck

Joel Hasbrouck

New York University (NYU) - Department of Finance

Multiple version iconThere are 4 versions of this paper

Date Written: July 1997

Abstract

This paper describes a general approach to the estimation of security price dynamics when the phenomena of interest are of the same scale or smaller than the tick size. The model views discrete bid and ask quotes as arising form the three continuous random variables: the efficient price of the security, a cost of quote exposure (information and processing costs) on the bid side and a similar cost of quote exposure on the ask side. The bid quote is the efficient price less the bid cost rounded down to the next tick; the ask quote is the efficient price plus the ask cost rounded up to the next tick. To deal with situations in which the cost of quote exposure possesses both stochastic and deterministic components and the efficient price follows an EGARCH process, the paper employs a nonlinear state-space estimation method. The method is applied to intraday quotes at fifteen-minute intervals for Alcoa (a randomly chosen Dow stock). The results confirm the existence of persistent intraday volatility. More importantly they establish the existence of a persistent stochastic component of quote exposure costs that is large relative to the deterministic intraday 'U' component.

Suggested Citation

Hasbrouck, Joel, The Dynamics of Discrete Bid and Ask Quotes (July 1997). NYU Working Paper No. FIN-98-041, Available at SSRN: https://ssrn.com/abstract=1297111

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