Abstract
This study investigates the multiple events that occur in the life of each limit order by utilising a survival analysis methodology with a multiple-spell duration model. The estimates suggest that the hazard rates of limit order event transitions are determined by a number of factors and their impacts depend on whether the initial order event is a limit order submission, partial execution or revision. The differences in estimates across initial order events increase as exchange latency reduces in recent years. Using a multiple-spell duration model to examine the full spectrum of events that occur in the life of a limit order is thus shown to be informative and essential in modelling dynamic limit order placement strategies.
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Notes
Multiple-spell duration models have been applied extensively in examining labour market dynamics. For a survey of different types of duration model, see van den Berg (2001).
Hasbrouck and Saar (2009) report that 93% of submitted limit orders are subsequently cancelled on INET. They show that orders that are cancelled in the system within only 2 s of their submissions account for as much as 37% of limit order placements. Fong and Liu (2010) also report that more than 60% of limit orders are cancelled or revised on the Australian Stock Exchange.
Multiple-spell duration model has been used more widely in biomedical science and labour economics (see Van den Berg 2011 for review).
One might argue that this assumption is not innocuous because arrival rate changes when information arrives. See Engle (2000). In our study, we choose a period where there are a large number of information events (earning announcements), hence arrival rate of order events should be fairly stable during this period.
In these transitions, the order events on the left-hand side are said to be in the origin states and the order events on the right-hand side are said to be in the destination states.
Since duration is inversely related to the transition probability, the interpretation is loosely interchangeable.
The set of explanatory variables are defined in a similar way to those used in Lo et al. (2002).
In labour economics, negative coefficient estimate for the lagged duration dependence variable suggests that workers start reducing their job search intensity if the subsidised job lasts too long. See Van Ours (2004) for further details.
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Le, A.T., Le, TH., Liu, WM. et al. Dynamic limit order placement strategies: survival analysis with a multiple-spell duration model. Ann Oper Res 297, 241–275 (2021). https://doi.org/10.1007/s10479-019-03384-y
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DOI: https://doi.org/10.1007/s10479-019-03384-y
Keywords
- Tick-by-tick data
- Dynamic order placement strategies
- Survival analysis
- Multiple-spell duration
- Australian securities exchange (ASX)