Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes
ilustraciones, fotografías a color
- Autores:
-
Cruz Moreno, Andrea Marcela
- Tipo de recurso:
- Fecha de publicación:
- 2022
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/83344
- Palabra clave:
- 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas
000 - Ciencias de la computación, información y obras generales::003 - Sistemas
330 - Economía::332 - Economía financiera
Estados financieros
Compañías - informes
Financial statements
Corporation reports
Libro de órdenes
Mercado de divisas
Haar Wavelet
Ingeniería Financiera
Aprendizaje de Máquina
Mapa de calor
Representación de información
Bolsa de palabras
Order Book
Forex
Bag of words
Trading strategies
Haar Wavelet
Scientific Visualization
Financial Engineering
Machine Learning
Heatmap
Information Representation
Bag of words
Visualización científica
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional
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dc.title.spa.fl_str_mv |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
dc.title.translated.eng.fl_str_mv |
Determining feasibility of trading strategies detection using order book information from the Colombian currency market |
title |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
spellingShingle |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes 510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas 000 - Ciencias de la computación, información y obras generales::003 - Sistemas 330 - Economía::332 - Economía financiera Estados financieros Compañías - informes Financial statements Corporation reports Libro de órdenes Mercado de divisas Haar Wavelet Ingeniería Financiera Aprendizaje de Máquina Mapa de calor Representación de información Bolsa de palabras Order Book Forex Bag of words Trading strategies Haar Wavelet Scientific Visualization Financial Engineering Machine Learning Heatmap Information Representation Bag of words Visualización científica |
title_short |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
title_full |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
title_fullStr |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
title_full_unstemmed |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
title_sort |
Determinación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenes |
dc.creator.fl_str_mv |
Cruz Moreno, Andrea Marcela |
dc.contributor.advisor.none.fl_str_mv |
Hernández Pérez, Germán Jairo |
dc.contributor.author.none.fl_str_mv |
Cruz Moreno, Andrea Marcela |
dc.contributor.researchgroup.spa.fl_str_mv |
Algoritmos y Combinatoria (Algos-Un) |
dc.subject.ddc.spa.fl_str_mv |
510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas 000 - Ciencias de la computación, información y obras generales::003 - Sistemas 330 - Economía::332 - Economía financiera |
topic |
510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas 000 - Ciencias de la computación, información y obras generales::003 - Sistemas 330 - Economía::332 - Economía financiera Estados financieros Compañías - informes Financial statements Corporation reports Libro de órdenes Mercado de divisas Haar Wavelet Ingeniería Financiera Aprendizaje de Máquina Mapa de calor Representación de información Bolsa de palabras Order Book Forex Bag of words Trading strategies Haar Wavelet Scientific Visualization Financial Engineering Machine Learning Heatmap Information Representation Bag of words Visualización científica |
dc.subject.lemb.spa.fl_str_mv |
Estados financieros Compañías - informes |
dc.subject.lemb.eng.fl_str_mv |
Financial statements Corporation reports |
dc.subject.proposal.spa.fl_str_mv |
Libro de órdenes Mercado de divisas Haar Wavelet Ingeniería Financiera Aprendizaje de Máquina Mapa de calor Representación de información Bolsa de palabras |
dc.subject.proposal.eng.fl_str_mv |
Order Book Forex Bag of words Trading strategies Haar Wavelet Scientific Visualization Financial Engineering Machine Learning Heatmap Information Representation Bag of words |
dc.subject.proposal.none.fl_str_mv |
Visualización científica |
description |
ilustraciones, fotografías a color |
publishDate |
2022 |
dc.date.issued.none.fl_str_mv |
2022-12 |
dc.date.accessioned.none.fl_str_mv |
2023-02-06T21:58:51Z |
dc.date.available.none.fl_str_mv |
2023-02-06T21:58:51Z |
dc.type.spa.fl_str_mv |
Trabajo de grado - Maestría |
dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/masterThesis |
dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/acceptedVersion |
dc.type.content.spa.fl_str_mv |
Text |
dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/TM |
status_str |
acceptedVersion |
dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/83344 |
dc.identifier.instname.spa.fl_str_mv |
Universidad Nacional de Colombia |
dc.identifier.reponame.spa.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
dc.identifier.repourl.spa.fl_str_mv |
https://repositorio.unal.edu.co/ |
url |
https://repositorio.unal.edu.co/handle/unal/83344 https://repositorio.unal.edu.co/ |
identifier_str_mv |
Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia |
dc.language.iso.spa.fl_str_mv |
eng |
language |
eng |
dc.relation.references.spa.fl_str_mv |
Ahmed, M., Chai, A., Ding, X., Jiang, Y., Sun, Y. (2009). Statistical Arbitrage in High Frequency Trading Based on Limit Order Book Dynamics, 1-26. Ahn, H.-J., Cai, J., Cheung, Y. L. (2005). Price clustering on the limit-order book: Evidence from the Stock Exchange of Hong Kong. Journal of Financial Markets, 8(4), 421-451. Hilary Arksey and Lisa O’Malley, Scoping studies: towards a methodological framework, International Journal of Social Research Methodology, Vol.8, Number 1, 2005, 19-32. Bates, R. G., Dempster, M. A. H., Romahi, Y. S. (2003). Evolutionary reinforcement learning in FX order book and order flow analysis. In 2003 IEEE International Confe rence on Computational Intelligence for Financial Engineering, 2003. Proceedings. (pp. 355-362). IEEE. Bloomfield, R., O’Hara, M., Saar, G. (2005). The ✭✭make or take✮✮ decision in an electronic market: Evidence on the evolution of liquidity. Journal of Financial Economics, 75(1), 165-199. BookMap by VeloxPro. (2015, October 8). Retrieved from http://www.bookmap.com/. Breymann W., Dias A., Embrechts P.: Dependence structures for multivariate high frequency data in finance. Quantitative Finance Vol. 3, Iss. 1. (2003). Chen, M.; Ebert, D.; Hagen, H.; Laramee, R.S.; van Liere, R.; Ma, K.-L.; Ri barsky, W.; Scheuermann, G.; Silver, D., ”Data, Information, and Knowledge in Visualization,C¸ omputer Graphics and Applications, IEEE , vol.29, no.1, pp.12,19, Jan.- Feb. 2009. Cheng, W., Liu, S., Jiao, H., Qiu, W. (2009). How Does Limit Order Book Informa tion Affect Trading Strategy and Market Quality: Simulations of an Agent-Based Stock Market. In 2009 International Conference on Management and Service Science (pp. 1-4). IEEE. Christensen H. L., Turner R. E., Hill S. I., Godsill S.J.: Rebuilding The Limit Or der Book: Bayesian Inference on Hidden States. Quantitative Finance. pp. 1779-1799J. (2013). Cont, Stoikov, and Talreja: A Stochastic Model for Order Book Dynamics. Operations Research Vol. 58, No. 3, May - June 2010, pp. 549 - 563 issn 0030 - 364X eissn 1526 - 5463 10 5803 0549 in. Cruz, A., Nino. J., Sandoval. J., Rincon, J., Hernandez, G.: Market Trend Visual Bag of Words Informative Patterns in Limit Order Books. International Conference on Com puter Science Proceedings. San Diego, California, U.S.A. (2016). Danielsson J., Payne R.: Real trading patterns and prices in spot foreign exchange mar kets, Journal of International Money and Finance, Volume 21, Issue 2, April 2002, Pa ges 203-222, ISSN 0261-5606, http://dx.doi.org/10.1016/S0261-5606(01)00043-2. (2002). Lopez-Monroy A. P., Gomez, M. M., Escalante, H. J., Cruz-Roa, A. and Gonzalez, F. A. Bag-of-visual-ngrams for histopathology image classification, in Proc. of SPIE 8922, 2013, p. 89220P. Donoho, D. and Johnstone, I. Ideal spatial adaptation via wavelet shrinkage. Biometrika, 81(3):425-455, 1994. Eisler, Z., Kertesz, J., Lillo, F.: The Limit Order Book on Different Time Scales, ar Xiv.org, Quantitative Finance Papers 0705.4023, May 2007. [Online]. Available: http: //ideas.repec.org/p/arx/papers/0705.4023.html (2007). Farmer, J. Doyne and Patelli, Paolo and Zovko, Ilija I., The Predictive Power of Zero Intelligence in Financial Markets (February 9, 2004). AFA 2004 San Diego Meetings. Fletcher, T., Hussain, Z., Shawe-Taylor, J. (2010). Multiple Kernel Learning on the Limit Order Book. In WAPA (pp. 167-174). Foreign Exchange Transaction Electronic System (Set-FX), http://www.set-fx.com/ index.html Forni, M., Lippi, M. (2001). The generalized dynamic factor model: Representation theory. ECONOMETRIC THEORY, 17(6), 1113-1141. Gabor,D. Theory of communication. J. IEE, 93:429-457, 1946 Gould, M. D., Porter, M. A., Williams, S., McDonald, M., Fenn, D. J. and Howison, S. D. Limit order books. Quantitative Finance, Vol. 13, No. 11, 1709-1742. 2013. Hall, A. D., Hautsch, N. (2007). Modelling the buy and sell intensity in a limit order book market. Journal of Financial Markets, 10(3), 249-286. Harris, Zellig S. Distributional structure. Word, Vol 10, 1954, 146-162. Hayes, Adam. Forex Trading Strategy, 2021.https://www.investopedia.com/terms/ forex/f/forex-trading-strategies.asp Hsin, P.-H., Wang, M.-C. (2007). Information Indicators of Limit Order Book and Optimal Dynamic Order Submission Strategy. In Second International Conference on Innovative Computing, Informatio and Control (ICICIC 2007) (pp. 197-197). IEEE. Huang, H., Kercheval, A. N. (2012). A generalized birth-death stochastic model for high-frequency order book dynamics. Quantitative Finance, 12(4), 547-557. Huang, R., Polak, T. (2011). LOBSTER: Limit Order Book Reconstruction System. Available at SSRN 1977207. Integrated Latin American Market (MILA), http://www.mercadomila.com Jian Jiang, Wing Lon Ng. (2010). Capturing order book dynamics with Kalman filters. Jiang, G., Wang, S., Dong, H. (2011). A Survey of Limit Order Book Modeling in Continuous Auction Market. In 2011 3rd International Workshop on Intelligent Systems and Applications (pp. 1-4). IEEE. Jiang, J., Ng, W. L. (2009a). Revealing Intraday Market Efficiency – Estimating Diurnal Price Densities in Limit Order Books. In 2009 International Conference on Information and Financial Engineering (pp. 8-12). IEEE. Jiaqi Wang, Zhang, C. (2006). Dynamic Focus Strategies for Electronic Trade Execution in Limit Order Markets. In The 8th IEEE International Conference on E-Commerce Technology and The 3rd IEEE International Conference on Enterprise Computing, E-Commerce, and E-Services (CEC/EEE-06) (pp. 26-26). IEEE. Kercheval,Alec N. and Zhang,Yuan. Modelling high-frequency limit order book dyna mics with support vector machines,Quantitative Finance, volume 15, number 8, pp.1315- 1329. 2015. Kirilenko, A., Kyle, A. S. (2011). The Flash Crash : The Impact of High Frequency Trading on an Electronic Market. Krishnamurthy, V., Aryan, A. (2012). Quickest detection of market shocks in agent based models of the order book. In 2012 IEEE 51st IEEE Conference on Decision and Control (CDC) (pp. 1480-1485). IEEE. Lee, S.-Y., Poon, W.-Y., Song, X.-Y. (2007). Bayesian analysis of the factor model with finance applications. QUANTITATIVE FINANCE, 7(3), 343-356. Lee, W.-B., Choe, H. (n.d.-a). Short-term return predictability of information in the open limit order book. Asia-Pacific Journal of Financial Studies (2007) vol. 36, number 6, pp. 963-1007. Li, Y., Zhang, X. (2009). A Comparative Study of Information Content of Limit Order Book before and after Transparency Was Increased: Evidence from Shenzhen Stock Exchange. In 2009 International Conference on Management and Service Science (pp. 1-4). IEEE. Lopez-Monroy A. P., Gomez, M. M., Escalante, H. J., Cruz-Roa, A. and Gonzalez, F. A. Bag-of-visual-ngrams for histopathology image classification, in Proc. of SPIE 8922, 2013, p. 89220P. Mallat Stephane. A Wavelet Tour of Signal Processing: The Sparse Way. Elsevier. Third Edition. 2009. Malik, Azeem and Ng, Wing Lon, (2014), Intraday liquidity patterns in limit order books, Studies in Economics and Finance, 31, issue 1, p. 46-71. Moorhead, R.J.; Zhifan Zhu, ”Signal processing aspects of scientific visualization,”Signal Processing Magazine, IEEE , vol.12, no.5, pp.20,41, Sep 1995. DOI: 10.1109/79.410438. Narasimhan, Priya (Carnegie Mellon University). (2006). Fault-Tolerant Distribu ted Systems [Course Material]. Retrieved from https://www.ece.cmu.edu/~ece749/ teams-06/team3/. NYSE Arcabook for Options Client Specification for NYSE Arca Options and Nyse Amex Options Exchanges. 2014 NYSE Euronext. Technical Report. (2014). Onorato, M., Altman, E. I. (2005). An integrated pricing model for defaultable loans and bonds. EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 163(1), 65-82. Palguna, D., Pollak, I. (2012). Non-parametric prediction of the mid-price dynamics in a limit order book. 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In Proceedings of the International Conference on Computer Vision, ICCV. Song, N., Ching, W.-K., Siu, T.-K., Yiu, C. (2012). Optimal Submission Problem in a Limit Order Boovk with VaR Constraints. In 2012 Fifth International Joint Conference on Computational Sciences and Optimization (pp. 266-270). IEEE. MERCADO Next day. Manual de usuario. SET ICAP FX. https://set-icap.com/ Manuales/Manual_de_Usuario_Next_Day.pdf (2016). Todd, A.; Scherer, W.; Beling, P.; Paddrik, M.; Haynes, R., ✭✭Visualizations for sense making in financial market regulation✮✮, Big Data (Big Data), 2014 IEEE International Conference on , vol., no., pp.730,735, 27-30 Oct. 2014. Vasquez Linares, Mario. Gonzalez Osorio, Fabio Augusto and Hernandez Losada, Die go Fernando. Mining Candlesticks Patterns on Stock Series: A Fuzzy Logic Approach. Advanced Data Mining and Applications. Lecture Notes in Computer Science. Springer Berlin Heidelberg. 2009. pp. 661-670. Vvedenskaya, N., Suhov, Y., Belitsky, V. (2011). A non-linear model of limit order book dynamics. In 2011 IEEE International Symposium on Information Theory Proceedings (pp. 1260-1262). IEEE. Wang, M.-C., Zu, L.-P., Kuo, C.-J. (2008). The state of the electronic limit order book, order aggressiveness and price formation. Asia-Pacific Journal of Financial Studies, 37(2). Wang Yanhong, Liu Shancun. (2011). An empirical heterogeneous trading strategy model in the Shanghai stock market of China. In MSIE 2011 (pp. 227-230). IEEE. Weinberger, Kilian and Dasgupta, Anirban and Langford, John and Smola, Alex and Attenberg, Josh. Feature Hashing for Large Scale Multitask Learning. Proceedings of the 26th Annual International Conference on Machine Learning. ACM. Montreal, Quebec, Canada. 2009. pp. 1113-1120. Whigham, P. A., Withanawasam, R., Crack, T., Premachandra, I. M. (2010). Evolving trading strategies for a limit-order book generator. In IEEE Congress on Evolutionary Computation (pp. 1-8). IEEE. Yang, S., Paddrik, M., Hayes, R., Todd, A., Kirilenko, A., Beling, P., Scherer, W. (2012). Behavior based learning in identifying High Frequency Trading strategies. In 2012 IEEE Conference on Computational Intelligence for Financial Engineering Economics (CIFEr) (pp. 1-8). IEEE. Yu, Y. (2006). The Limit Order Book Information and the Order Submission Strategy: A Model Explanation. In 2006 International Conference on Service Systems and Service Management (Vol. 1, pp. 687-691). IEEE. Algorithmic Trading Challenge. (2012, January 8). Retrieved from https://www. kaggle.com/c/AlgorithmicTradingChallenge/details/Background/ |
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xx, 85 páginas |
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Universidad Nacional de Colombia |
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Bogotá - Ingeniería - Maestría en Ingeniería - Ingeniería de Sistemas y Computación |
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Facultad de Ingeniería |
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Bogotá - Colombia |
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Universidad Nacional de Colombia |
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Atribución-NoComercial-SinDerivadas 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Hernández Pérez, Germán Jairo66571677097cf76f6d8382e3c0191758Cruz Moreno, Andrea Marcela827b6518b6bc98460982ce4ae732da20Algoritmos y Combinatoria (Algos-Un)2023-02-06T21:58:51Z2023-02-06T21:58:51Z2022-12https://repositorio.unal.edu.co/handle/unal/83344Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, fotografías a colorThe detection of effective, i.e. profitable and efficient, trading strategies requires the identifi cation of predictive patterns in the information provided by the market. Usually the market information is presented as a time series collection of prices (open, close, high and low) and volume that are available with a particular time granularity. This depends on the informa tion provider, e.g. every transaction, every minute, every day, etc. depending on the access level. In this work we have access to an information tool that is not commonly available: The Limit Order Book information for the Colombian Bulk currency market. Order book data provides a valuable source of information in financial markets. For this reason, it is an excellent candidate for the construction of new trading tools and models. Order book representation is an still active study branch in quantitative finance. This work addresses the problem of information visualization of financial data from Colom bian Bulk Currency exchange using two approaches: a heatmap representation, and a Haar Wavelet based representation in order to filter high frequency noise. This requires dealing with a massive amount of data coming from the Colombian Forex Market Limit Order Book, a register with all the buy and sell intentions of the market’s participants. The experimental evaluation shows that the proposed strategies are able to identify frequent patterns within the presented visualizations tools. Furthermore, and more important, it is possible to associate some of those frequent patterns with a trend with a probability greater than 0.5. This result is useful in order to generate buy and sell signals for a trader. (Texto tomado de la fuente)La detección de estrategias comerciales efectivas, es decir, rentables y eficientes, requiere la identificación de patrones predictivos en la información proporcionada por el mercado. Normalmente el mercado la información se presenta como una colección de series temporales de precios (apertura, cierre, máximo y mínimo) y volumen que están disponibles con una granularidad de tiempo particular. Esto depende del proveedor de información, p. cada transacción, cada minuto, cada día, etc. dependiendo del acceso nivel. En este trabajo tenemos acceso a una herramienta de información que comúnmente no está disponible: El Límite Información del Libro de Órdenes para el mercado de divisas a granel colombiano. Los datos del libro de pedidos proporcionan una valiosa fuente de información en los mercados financieros. Por esta razón, es un excelente candidato para la construcción de nuevas herramientas y modelos comerciales. La representación del libro de pedidos es una rama de estudio todavía activa en las finanzas cuantitativas. Este trabajo aborda el problema de la visualización de información de datos financieros del cambio de divisas a granel de Colombia utilizando dos enfoques: una representación de mapa de calor y un Haar. Representación basada en wavelet para filtrar ruido de alta frecuencia. Esto requiere tratar con una gran cantidad de datos provenientes del Libro de Órdenes Límite del Mercado Forex de Colombia, un registro con todas las intenciones de compra y venta de los participantes del mercado. La evaluación experimental muestra que las estrategias propuestas son capaces de identificar frecuentes patrones dentro de las herramientas de visualización presentadas.MaestríaMagíster en Ingeniería - Ingeniería de Sistemas y Computaciónxx, 85 páginasapplication/pdfengUniversidad Nacional de ColombiaBogotá - Ingeniería - Maestría en Ingeniería - Ingeniería de Sistemas y ComputaciónFacultad de IngenieríaBogotá - ColombiaUniversidad Nacional de Colombia - Sede Bogotá510 - Matemáticas::519 - Probabilidades y matemáticas aplicadas000 - Ciencias de la computación, información y obras generales::003 - Sistemas330 - Economía::332 - Economía financieraEstados financierosCompañías - informesFinancial statementsCorporation reportsLibro de órdenesMercado de divisasHaar WaveletIngeniería FinancieraAprendizaje de MáquinaMapa de calorRepresentación de informaciónBolsa de palabrasOrder BookForexBag of wordsTrading strategiesHaar WaveletScientific VisualizationFinancial EngineeringMachine LearningHeatmapInformation RepresentationBag of wordsVisualización científicaDeterminación de la factibilidad de la detección de estrategias de operación en el mercado de divisas colombiano utilizando la información del libro de órdenesDetermining feasibility of trading strategies detection using order book information from the Colombian currency marketTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMAhmed, M., Chai, A., Ding, X., Jiang, Y., Sun, Y. (2009). Statistical Arbitrage in High Frequency Trading Based on Limit Order Book Dynamics, 1-26.Ahn, H.-J., Cai, J., Cheung, Y. L. (2005). Price clustering on the limit-order book: Evidence from the Stock Exchange of Hong Kong. Journal of Financial Markets, 8(4), 421-451.Hilary Arksey and Lisa O’Malley, Scoping studies: towards a methodological framework, International Journal of Social Research Methodology, Vol.8, Number 1, 2005, 19-32.Bates, R. G., Dempster, M. A. H., Romahi, Y. S. (2003). Evolutionary reinforcement learning in FX order book and order flow analysis. In 2003 IEEE International Confe rence on Computational Intelligence for Financial Engineering, 2003. Proceedings. (pp. 355-362). IEEE.Bloomfield, R., O’Hara, M., Saar, G. (2005). The ✭✭make or take✮✮ decision in an electronic market: Evidence on the evolution of liquidity. Journal of Financial Economics, 75(1), 165-199.BookMap by VeloxPro. (2015, October 8). 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Retrieved from https://www. kaggle.com/c/AlgorithmicTradingChallenge/details/Background/InvestigadoresORIGINAL1022365263.2022.pdf1022365263.2022.pdfTesis de Maestría en Ingeniería de Sistemas y Computaciónapplication/pdf2912114https://repositorio.unal.edu.co/bitstream/unal/83344/4/1022365263.2022.pdf8fc741229fa1f4b4d32dc58712e79761MD54LICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/83344/3/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD53THUMBNAIL1022365263.2022.pdf.jpg1022365263.2022.pdf.jpgGenerated Thumbnailimage/jpeg4888https://repositorio.unal.edu.co/bitstream/unal/83344/5/1022365263.2022.pdf.jpg717f936d4358856838822eb5ffe42ec4MD55unal/83344oai:repositorio.unal.edu.co:unal/833442023-08-14 23:04:42.995Repositorio Institucional Universidad Nacional de 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