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Calibración de tasas de un modelo de Markov para libro de órdenes dinámico

dc.contributor.advisorGómez Vélez, César Augustospa
dc.contributor.authorGil Puerta, Andrés Santiagospa
dc.contributor.corporatenameUniversidad Nacional de Colombia - Sede Medellínspa
dc.date.accessioned2020-08-25T22:04:19Zspa
dc.date.available2020-08-25T22:04:19Zspa
dc.date.issued2020-06-01spa
dc.description.abstractEl libro de órdenes es una herramienta ampliamente usada para las negociaciones en los mercados de valores internacionales, donde compradores y vendedores mediante órdenes pueden comerciar con gran facilidad activos financieros en cualquier nivel de precios y a un volumen determinado. De acuerdo a lo anterior, se hace necesario comprender la dinámica y el funcionamiento del mismo, desde un punto de vista tanto de mercado como técnico que facilitará las decisiones y estrategias de inversión para los participantes. Se estudiará un proceso estocástico que permite el análisis de las tasas de llegada de las órdenes límite, órdenes de mercado y cancelación con datos reales de una jornada de negociación y se simulará el libro de órdenes para estimar trayectorias del precio.spa
dc.description.abstractThe order book is a widely used tool for trading in international stock markets, where buyers and sellers through orders can easily trade financial assets at any price level and at a given volume. According to the above, it is necessary to understand its dynamics and operation, from both a market and technical point of view that will facilitate investment decisions and strategies for participants. A stochastic process that allows the analysis of the arrival rates of limit orders, market orders and cancellation with real data of a trading day will be studied and finally the order book will be simulated to estimate price trajectories.spa
dc.description.additionalL nea de Investigaci on: Procesos Estoc asticosspa
dc.description.degreelevelMaestríaspa
dc.format.extent80spa
dc.format.mimetypeapplication/pdfspa
dc.identifier.urihttps://repositorio.unal.edu.co/handle/unal/78226
dc.language.isospaspa
dc.publisher.branchUniversidad Nacional de Colombia - Sede Medellínspa
dc.publisher.departmentEscuela de estadísticaspa
dc.publisher.programMedellín - Ciencias - Maestría en Ciencias - Estadísticaspa
dc.relation.referencesAbate and Whitt, 1999] Abate, J. and Whitt, W. (1999). Computing laplace transforms for numerical inversion via continued fractions. INFORMS Journal on Computing, 11(4):394- 405.spa
dc.relation.references[Asmussen, 2003] Asmussen, S. (2003). Applied Probability and Queues. Applications of mathematics : stochastic modelling and applied probability. Springer.spa
dc.relation.references[Asmussen, 2008] Asmussen, S. (2008). Applied probability and queues, volume 51. Springer Science & Business Media.spa
dc.relation.references[Bosq and Limnios, 2012] Bosq, D. and Limnios, N. (2012). Mathematical statistics and stochastic processes. Wiley Online Library.spa
dc.relation.references[Bouchaud et al., 2008] Bouchaud, J.-P., Farmer, J. D., and Lillo, F. (2008). How markets slowly digest changes in supply and demand. Fabrizio, How Markets Slowly Digest Changes in Supply and Demand (September 11, 2008).spa
dc.relation.references[Bouchaud et al., 2002] Bouchaud, J.-P., M ezard, M., Potters, M., et al. (2002). Statistical properties of stock order books: empirical results and models. Quantitative nance, 2(4):251-256.spa
dc.relation.references[Bovier et al., 2006] Bovier, A., Cern y, J., and Hryniv, O. (2006). The opinion game: Stock price evolution from microscopic market modeling. International Journal of Theoretical and Applied Finance, 9(01):91-111.spa
dc.relation.references[Clinet, 2015] Clinet, S. (2015). Statistical inference for ergodic point processes and applications to limit order book.spa
dc.relation.references[Connor and Woo, 2004] Connor, G. and Woo, M. (2004). An introduction to hedge funds.spa
dc.relation.references[Cont et al., 2010] Cont, R., Stoikov, S., and Talreja, R. (2010). A stochastic model for order book dynamics. Operations research, 58(3):549-563.spa
dc.relation.references[Dobrow, 2016] Dobrow, R. P. (2016). Introduction to stochastic processes with R. John Wiley & Sons.spa
dc.relation.references[Doyne Farmer 5 et al., 2004] Doyne Farmer 5, J., Gillemot, L., Lillo, F., Mike, S., and Sen, A. (2004). What really causes large price changes? Quantitative nance, 4(4):383-397.spa
dc.relation.references[Eisler et al., 2012] Eisler, Z., Bouchaud, J.-P., and Kockelkoren, J. (2012). The price impact of order book events: market orders, limit orders and cancellations. Quantitative Finance, 12(9):1395-1419.spa
dc.relation.references[Engle et al., 2006] Engle, R. F., Ferstenberg, R., and Russell, J. R. (2006). Measuring and modeling execution cost and risk.spa
dc.relation.references[Foucault et al., 2005] Foucault, T., Kadan, O., and Kandel, E. (2005). Limit order book as a market for liquidity. Review of Financial Studies, 18(4):1171-1217.spa
dc.relation.references[Giraldo, 2016] Giraldo, N. (2016). Econometría fi nanciera aplicada a series de tiempo. Universidad Nacional de Colombia.spa
dc.relation.references[Gould et al., 2013] Gould, M. D., Porter, M. A., Williams, S., McDonald, M., Fenn, D. J., and Howison, S. D. (2013). Limit order books. Quantitative Finance, 13(11):1709-1742.spa
dc.relation.references[Gu et al., 2016] Gu, G.-F., Xiong, X., Zhang, Y.-J., Chen, W., Zhang, W., and Zhou, W.- X. (2016). Stylized facts of price gaps in limit order books. Chaos, Solitons & Fractals, 88:48-58.spa
dc.relation.references[Harris and Hasbrouck, 1996] Harris, L. and Hasbrouck, J. (1996). Market vs. limit orders: the superdot evidence on order submission strategy. Journal of Financial and Quantitative analysis, 31(02):213-231.spa
dc.relation.references[Hendriks, 2014] Hendriks, S. (2014). Building a model for the limit order book.spa
dc.relation.references[Holli eld et al., 2004] Holli eld, B., Miller, R. A., and Sand as, P. (2004). Empirical analysis of limit order markets. The Review of Economic Studies, 71(4):1027-1063.spa
dc.relation.references[Huang, 2015] Huang, W. (2015). Dynamics of limit order book: statistical analysis, modelling and prediction. PhD thesis.spa
dc.relation.references[Kirilenko et al., 2015] Kirilenko, A. A., Kyle, A. S., Samadi, M., and Tuzun, T. (2015). The flash crash: The impact of high frequency trading on an electronic market. Available at SSRN 1686004.spa
dc.relation.references[Ladeira, 2010] Ladeira, J. (2010). Stochastic modeling of order book dynamics.spa
dc.relation.references[Luckock et al., 2003] Luckock, H. et al. (2003). A steady-state model of the continuous double auction. Quantitative Finance, 3(5):385-404.spa
dc.relation.references[Lux and Marchesi, 1999] Lux, T. and Marchesi, M. (1999). Scaling and criticality in a stochastic multi-agent model of a nancial market. Nature, 397(6719):498-500.spa
dc.relation.references[Martínez, 2008] Martínez, F. V. (2008). Riesgos financieros y económicos/Financial and economical risks: Productos derivados y decisiones económicas bajo incertidumbre. Cengage Learning Editores.spa
dc.relation.references[Maslov and Mills, 2001] Maslov, S. and Mills, M. (2001). Price fluctuations from the order book perspective|empirical facts and a simple model. Physica A: Statistical Mechanics and its Applications, 299(1):234-246.spa
dc.relation.references[Meudt et al., 2016] Meudt, F., Schmitt, T. A., Sch afer, R., and Guhr, T. (2016). Equilibrium pricing in an order book environment: Case study for a spin model. Physica A: Statistical Mechanics and its Applications, 453:228-235.spa
dc.relation.references[Obizhaeva and Wang, 2013] Obizhaeva, A. A. and Wang, J. (2013). Optimal trading strategy and supply/demand dynamics. Journal of Financial Markets, 16(1):1-32.spa
dc.relation.references[Ortega and Rivero, 2015] Ortega, J. and Rivero, V. (2015). Modelos Estocásticos. Cimat A.C.spa
dc.relation.references[Parlour, 1998] Parlour, C. A. (1998). Price dynamics in limit order markets. Review of Financial Studies, 11(4):789-816.spa
dc.relation.references[Rosu, 2009] Rosu, I. (2009). A dynamic model of the limit order book. Review of Financial Studies, 22(11):4601-4641.spa
dc.relation.references[Smith et al., 2003] Smith, E., Farmer, J. D., Gillemot, L. s., Krishnamurthy, S., et al. (2003). Statistical theory of the continuous double auction. Quantitative nance, 3(6):481-514.spa
dc.relation.references[Wrenn, 2012] Wrenn, F. (2012). General birth-death processes: probabilities, inference, and applications.spa
dc.rightsDerechos reservados - Universidad Nacional de Colombiaspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccessspa
dc.rights.licenseAtribución-NoComercial 4.0 Internacionalspa
dc.rights.spaAcceso abiertospa
dc.rights.urihttp://creativecommons.org/licenses/by-nc/4.0/spa
dc.subject.ddc510 - Matemáticas::519 - Probabilidades y matemáticas aplicadasspa
dc.subject.proposalModelo de Markovspa
dc.subject.proposalMarkov modeleng
dc.subject.proposalStatistical modelseng
dc.subject.proposalModelos estadísticosspa
dc.subject.proposalMercado de valoresspa
dc.subject.proposalStock marketeng
dc.subject.proposalProcesos estocasticosspa
dc.subject.proposalStochastic processeseng
dc.subject.proposalTransformada de Laplacespa
dc.subject.proposalLaplace transformeng
dc.titleCalibración de tasas de un modelo de Markov para libro de órdenes dinámicospa
dc.title.alternativeRate calibration of a Markov model for dynamic order bookspa
dc.typeTrabajo de grado - Maestríaspa
dc.type.coarhttp://purl.org/coar/resource_type/c_bdccspa
dc.type.coarversionhttp://purl.org/coar/version/c_ab4af688f83e57aaspa
dc.type.contentTextspa
dc.type.driverinfo:eu-repo/semantics/masterThesisspa
dc.type.versioninfo:eu-repo/semantics/acceptedVersionspa
oaire.accessrightshttp://purl.org/coar/access_right/c_abf2spa

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