Enriched mathematical model for portfolio optimization of risky assets in Colombia

Trabajo de grado

Autores:
Martínez Camacho, Juan Diego
Tipo de recurso:
Trabajo de grado de pregrado
Fecha de publicación:
2022
Institución:
Universidad de los Andes
Repositorio:
Séneca: repositorio Uniandes
Idioma:
eng
OAI Identifier:
oai:repositorio.uniandes.edu.co:1992/59245
Acceso en línea:
http://hdl.handle.net/1992/59245
Palabra clave:
Portfolio
Optimization
Model
Assets
Risk
Return
Colombia
Ingeniería
Rights
openAccess
License
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
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repository_id_str
dc.title.none.fl_str_mv Enriched mathematical model for portfolio optimization of risky assets in Colombia
title Enriched mathematical model for portfolio optimization of risky assets in Colombia
spellingShingle Enriched mathematical model for portfolio optimization of risky assets in Colombia
Portfolio
Optimization
Model
Assets
Risk
Return
Colombia
Ingeniería
title_short Enriched mathematical model for portfolio optimization of risky assets in Colombia
title_full Enriched mathematical model for portfolio optimization of risky assets in Colombia
title_fullStr Enriched mathematical model for portfolio optimization of risky assets in Colombia
title_full_unstemmed Enriched mathematical model for portfolio optimization of risky assets in Colombia
title_sort Enriched mathematical model for portfolio optimization of risky assets in Colombia
dc.creator.fl_str_mv Martínez Camacho, Juan Diego
dc.contributor.advisor.none.fl_str_mv Montoya Orozco, Germán Adolfo
Lozano Garzon, Carlos Andres
dc.contributor.author.none.fl_str_mv Martínez Camacho, Juan Diego
dc.subject.keyword.none.fl_str_mv Portfolio
Optimization
Model
Assets
Risk
Return
Colombia
topic Portfolio
Optimization
Model
Assets
Risk
Return
Colombia
Ingeniería
dc.subject.themes.es_CO.fl_str_mv Ingeniería
description Trabajo de grado
publishDate 2022
dc.date.accessioned.none.fl_str_mv 2022-07-27T21:35:57Z
dc.date.available.none.fl_str_mv 2022-07-27T21:35:57Z
dc.date.issued.none.fl_str_mv 2022-06-04
dc.type.es_CO.fl_str_mv Trabajo de grado - Pregrado
dc.type.driver.none.fl_str_mv info:eu-repo/semantics/bachelorThesis
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dc.language.iso.es_CO.fl_str_mv eng
language eng
dc.relation.references.es_CO.fl_str_mv Adebiyi, M., Adebiyi, A. A., Obagbuwa, C. I., & Okesola, J. O. (2019). A Comparative Study of Metaheuristics Techniques for Portfolio Selection Problem. Journal of Engineering and Applied Sciences, 14(6), 2007-2010.
Banco de la República. (2019). Estadísticas Económicas. https://totoro.banrep.gov.co/estadisticas-economicas/
Berk, J. B., & DeMarzo, P. M. (2014). Corporate finance (Third Edition). Pearson.
Bloomberg L.P. (2019). Historical prices for Colombian securities, 01/01/2017 to 31/12/2019. Retrieved May 4, 2022 from Bloomberg Terminal.
Busetti, F. (2006). Heuristic approaches to realistic portfolio optimisation. WIT Transactions on Modelling and Simulation, 43.
Cakaric, Faris. (2017). TabuSearch.py. Python solver for integer programming problems using Tabu search. GitHub. https://github.com/farisca/tabu_intprog/blob/master/TabuSearch.py
Cesarone, F., Scozzari, A., & Tardella, F. (2009). Efficient algorithms for mean-variance portfolio optimization with hard real-world constraints.
Chang, T. J., Meade, N., Beasley, J. E., & Sharaiha, Y. M. (2000). Heuristics for cardinality constrained portfolio optimisation. Computers & Operations Research, 27(13), 1271-1302.
Cornuejols, G., & Tütüncü, R. (2006). Optimization methods in finance (Vol. 5). Cambridge University Press.
Doering, J., Kizys, R., Juan, A. A., Fito, A., & Polat, O. (2019). Metaheuristics for rich portfolio optimisation and risk management: Current state and future trends. Operations Research Perspectives, 6, 100121.
GAMS Development Corporation. (2022). Mathematical Functions. Data Manipulations with Parameters. https://www.gams.com/latest/docs/UG_Parameters.html#UG_Parameters_MathFunctions
Gilli, M., Maringer, D., & Schumann, E. (2019). Numerical methods and optimization in finance. Academic Press.
Gilli, M., & Këllezi, E. (2000). A heuristic Approach to portfolio optimization (pp. 1-18). FAME.
Glover, F. (1990). Tabu search: A tutorial. Interfaces, 20(4), 74-94.
Guennoun, Z., & Hamza, F. (2012). Stocks portfolio optimization using classification and genetic algorithms. Applied Mathematical Sciences, 6(94), 4673-4684.
Frontline Systems. (2022). Excel Solver ¿ Algorithms and Methods Used. https://www.solver.com/excel-solver-algorithms-and-methods-used
Pachamanova, D. A., & Fabozzi, F. J. (2010). Simulation and Optimization in Finance: Modeling with MATLAB,@ RISK, or VBA (Vol. 173). John Wiley & Sons.
Peng, J., Li, H., Jiang, Q., Wang, Y., & Chen, J. (2014). An integrative approach for measuring semantic similarities using gene ontology. BMC systems biology, 8(5), 1-12. Figure 3.
Superintendencia Financiera de Colombia. (2022). Actualidad del Sistema Financiero Colombiano. https://www.superfinanciera.gov.co/descargas/institucional/pubFile1061006/comsectorfinanciero042022.pdf
U.S. Department of the Treasury. (2019). Daily Treasury Par Yield Curve Rates. https://home.treasury.gov/resource-center/data-chart-center/interest-rates/TextView?type=daily_treasury_yield_curve&field_tdr_date_value=2019
Yahoo Inc. (2019). Historical prices for US securities, 01/01/2017 to 31/12/2019. Retrieved May 4, 2022 from Yahoo! Finance. https://finance.yahoo.com/
Zanjirdar, M. (2020). Overview of portfolio optimization models. Advances in Mathematical Finance and Applications, 5(4), 419-435.
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dc.format.extent.es_CO.fl_str_mv 70 páginas
dc.format.mimetype.es_CO.fl_str_mv application/pdf
dc.publisher.es_CO.fl_str_mv Universidad de los Andes
dc.publisher.program.es_CO.fl_str_mv Ingeniería de Sistemas y Computación
dc.publisher.faculty.es_CO.fl_str_mv Facultad de Ingeniería
dc.publisher.department.es_CO.fl_str_mv Departamento de Ingeniería Sistemas y Computación
institution Universidad de los Andes
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spelling Attribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Montoya Orozco, Germán Adolfo01421b8f-cae0-4813-b5c3-df59231e570f600Lozano Garzon, Carlos Andresvirtual::3399-1Martínez Camacho, Juan Diego62bc043f-e5c5-4585-93e2-9faa396aa4e26002022-07-27T21:35:57Z2022-07-27T21:35:57Z2022-06-04http://hdl.handle.net/1992/59245instname:Universidad de los Andesreponame:Repositorio Institucional Sénecarepourl:https://repositorio.uniandes.edu.co/Trabajo de gradoThis thesis aims to develop and apply an enriched portfolio optimization model, building on the original Markowitz portfolio theory, that incorporates additional constraints that a portfolio manager would face in Colombia. For this purpose, the theoretical concepts needed to understand the model in its basic form are explained first. Then, an implementation of an enriched portfolio optimization model is proposed. Finally, the model's performance is compared against the original theoretical model and benchmark heuristics.Ingeniero de Sistemas y ComputaciónPregrado70 páginasapplication/pdfengUniversidad de los AndesIngeniería de Sistemas y ComputaciónFacultad de IngenieríaDepartamento de Ingeniería Sistemas y ComputaciónEnriched mathematical model for portfolio optimization of risky assets in ColombiaTrabajo de grado - Pregradoinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/acceptedVersionhttp://purl.org/coar/resource_type/c_7a1fTexthttp://purl.org/redcol/resource_type/TPPortfolioOptimizationModelAssetsRiskReturnColombiaIngenieríaAdebiyi, M., Adebiyi, A. A., Obagbuwa, C. I., & Okesola, J. O. (2019). A Comparative Study of Metaheuristics Techniques for Portfolio Selection Problem. Journal of Engineering and Applied Sciences, 14(6), 2007-2010.Banco de la República. (2019). Estadísticas Económicas. https://totoro.banrep.gov.co/estadisticas-economicas/Berk, J. B., & DeMarzo, P. M. (2014). Corporate finance (Third Edition). Pearson.Bloomberg L.P. (2019). Historical prices for Colombian securities, 01/01/2017 to 31/12/2019. Retrieved May 4, 2022 from Bloomberg Terminal.Busetti, F. (2006). Heuristic approaches to realistic portfolio optimisation. WIT Transactions on Modelling and Simulation, 43.Cakaric, Faris. (2017). TabuSearch.py. Python solver for integer programming problems using Tabu search. GitHub. https://github.com/farisca/tabu_intprog/blob/master/TabuSearch.pyCesarone, F., Scozzari, A., & Tardella, F. (2009). Efficient algorithms for mean-variance portfolio optimization with hard real-world constraints.Chang, T. J., Meade, N., Beasley, J. E., & Sharaiha, Y. M. (2000). Heuristics for cardinality constrained portfolio optimisation. Computers & Operations Research, 27(13), 1271-1302.Cornuejols, G., & Tütüncü, R. (2006). Optimization methods in finance (Vol. 5). Cambridge University Press.Doering, J., Kizys, R., Juan, A. A., Fito, A., & Polat, O. (2019). Metaheuristics for rich portfolio optimisation and risk management: Current state and future trends. Operations Research Perspectives, 6, 100121.GAMS Development Corporation. (2022). Mathematical Functions. Data Manipulations with Parameters. https://www.gams.com/latest/docs/UG_Parameters.html#UG_Parameters_MathFunctionsGilli, M., Maringer, D., & Schumann, E. (2019). Numerical methods and optimization in finance. Academic Press.Gilli, M., & Këllezi, E. (2000). A heuristic Approach to portfolio optimization (pp. 1-18). FAME.Glover, F. (1990). Tabu search: A tutorial. Interfaces, 20(4), 74-94.Guennoun, Z., & Hamza, F. (2012). Stocks portfolio optimization using classification and genetic algorithms. Applied Mathematical Sciences, 6(94), 4673-4684.Frontline Systems. (2022). Excel Solver ¿ Algorithms and Methods Used. https://www.solver.com/excel-solver-algorithms-and-methods-usedPachamanova, D. A., & Fabozzi, F. J. (2010). Simulation and Optimization in Finance: Modeling with MATLAB,@ RISK, or VBA (Vol. 173). John Wiley & Sons.Peng, J., Li, H., Jiang, Q., Wang, Y., & Chen, J. (2014). An integrative approach for measuring semantic similarities using gene ontology. BMC systems biology, 8(5), 1-12. Figure 3.Superintendencia Financiera de Colombia. (2022). Actualidad del Sistema Financiero Colombiano. https://www.superfinanciera.gov.co/descargas/institucional/pubFile1061006/comsectorfinanciero042022.pdfU.S. Department of the Treasury. (2019). Daily Treasury Par Yield Curve Rates. https://home.treasury.gov/resource-center/data-chart-center/interest-rates/TextView?type=daily_treasury_yield_curve&field_tdr_date_value=2019Yahoo Inc. (2019). Historical prices for US securities, 01/01/2017 to 31/12/2019. Retrieved May 4, 2022 from Yahoo! Finance. https://finance.yahoo.com/Zanjirdar, M. (2020). Overview of portfolio optimization models. 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