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Correlation emergence in two coupled limit order books in the fluid limit

Weuse random walks to simulate the fluid limit of two coupled diffusive limit order books to model correlation emergence. The model implements the arrival, cancellation and diffusion of orders coupled by a pairs trader profiting from the mean-reversion between the two order-books in the fluid limit...

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Main Author: Bauer, Dominic
Other Authors: Gebbie, Timothy
Format: Thesis
Language:English
Published: Department of Statistical Sciences 2024
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access_status_str Open Access
author Bauer, Dominic
author2 Gebbie, Timothy
author_browse Bauer, Dominic
Gebbie, Timothy
author_facet Gebbie, Timothy
Bauer, Dominic
author_sort Bauer, Dominic
collection Thesis
description Weuse random walks to simulate the fluid limit of two coupled diffusive limit order books to model correlation emergence. The model implements the arrival, cancellation and diffusion of orders coupled by a pairs trader profiting from the mean-reversion between the two order-books in the fluid limit for a Lit order book with vanishing boundary conditions and order volume conservation we are able to demonstrate the recovery of an Epps effect. We show how various stylised facts depend on the model parameters and the numerical scheme and discuss various strengths and weaknesses of the approach. We demonstrate how the Epps effect depends on different choices of time and price discretisation and show how an Epps effect can emerge without recourse to market microstructure effects.
format Thesis
id oai:open.uct.ac.za:11427/40753
institution University of Cape Town (South Africa)
language eng
last_indexed 2026-06-10T12:31:47.142Z
license_str Not specified — see source repository
provenance_str_mv Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository
publishDate 2024
publishDateRange 2024
publishDateSort 2024
publisher Department of Statistical Sciences
publisherStr Department of Statistical Sciences
record_format dspace
source_str UCTD — University of Cape Town Open Access Repository
spelling oai:open.uct.ac.za:11427/40753 Correlation emergence in two coupled limit order books in the fluid limit Bauer, Dominic Gebbie, Timothy online learning technical analysis portfolio selection backtesting overf itting in-sample out-of-sample Johannesburg Stock Exchange Weuse random walks to simulate the fluid limit of two coupled diffusive limit order books to model correlation emergence. The model implements the arrival, cancellation and diffusion of orders coupled by a pairs trader profiting from the mean-reversion between the two order-books in the fluid limit for a Lit order book with vanishing boundary conditions and order volume conservation we are able to demonstrate the recovery of an Epps effect. We show how various stylised facts depend on the model parameters and the numerical scheme and discuss various strengths and weaknesses of the approach. We demonstrate how the Epps effect depends on different choices of time and price discretisation and show how an Epps effect can emerge without recourse to market microstructure effects. 2024-11-28T08:14:51Z 2024-11-28T08:14:51Z 2024 2024-11-27T13:13:10Z Thesis / Dissertation Masters MSc http://hdl.handle.net/11427/40753 eng application/pdf Department of Statistical Sciences Faculty of Science University of Cape Town
spellingShingle online learning
technical analysis
portfolio selection
backtesting
overf itting
in-sample
out-of-sample
Johannesburg Stock Exchange
Bauer, Dominic
Correlation emergence in two coupled limit order books in the fluid limit
thesis_degree_str Master's
title Correlation emergence in two coupled limit order books in the fluid limit
title_full Correlation emergence in two coupled limit order books in the fluid limit
title_fullStr Correlation emergence in two coupled limit order books in the fluid limit
title_full_unstemmed Correlation emergence in two coupled limit order books in the fluid limit
title_short Correlation emergence in two coupled limit order books in the fluid limit
title_sort correlation emergence in two coupled limit order books in the fluid limit
topic online learning
technical analysis
portfolio selection
backtesting
overf itting
in-sample
out-of-sample
Johannesburg Stock Exchange
url http://hdl.handle.net/11427/40753
work_keys_str_mv AT bauerdominic correlationemergenceintwocoupledlimitorderbooksinthefluidlimit