This thesis focuses on the statistical modeling of the dynamics of limit order books in electronic equity markets. The statistical properties of events affecting a limit order book -market orders, limit orders and cancellations- reveal strong evidence of clustering in time, cross-correlation across event types and dependence of the order flow on the bid-ask spread. Further investigation.
AbstractThe University of ManchesterAdeola Deji-OloweDoctor of Philosophy (PhD)Essays on the Impact of Investor Trades in a Limit Order Book MarketNovember 2013This thesis consists of three essays examining the impact and consequences of the trading behaviour of a finely disaggregated category of investors in an electronic limit order book equity market, the Malta Stock Exchange (MSE).
The order data, which consists of limit orders, cancellations, and executions, is used to build a limit order book that captures the trading mechanism of an electronic order-driven market. The order level data is also used to identify high frequency trading accounts by looking at their order generation characteristics.
Let's say the order book has the highest bid at 100 and the lowest ask at 101 and I place a limit order to buy at 100. I'm now bidding the same as all the other highest bids, so when market orders to sell come through get matched with highest bids, how are the bids selected? Is it random, in order by time, size, or some other mechanism?
The meat of this thesis will be the mathematical analysis of a particular model of price formation, which takes into account some randomness in the arrival of traders and in the allocation of their orders. The range of prices at which trades happen obviously varies depending on the behaviour of single traders. In order to explain and prove such behaviours, we will make use of order books.
Theses for Imperial College Research Degrees 1. Checklist, instructions and notes on submission, format, requirements and binding of theses submitted for the degrees of MPhil, PhD, MD(Res) and EngD. 1.1. Theses have to be in a suitable format to endure the examination process. They should be easily legible for examiners, provide sufficient room for.