Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles
ilustraciones, graficas
- Autores:
-
Páez Moreno, John Jairo
- Tipo de recurso:
- Fecha de publicación:
- 2023
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/83345
- Palabra clave:
- 530 - Física
INDICES DE FUTUROS DE ACCIONES
ANALISIS DE INVERSIONES
Stock index futures
Investment analysis
Econofı́sica
Series de tiempo
Logretorno de precios
Logretorno de volúmenes
Distribución de vuelos de Levy
Distribución loglogistic
Correlación
Mercados bursátiles
Econophysics
Time series
Price logreturn
Volume logreturn
Levy flight distribution
Loglogistic distribution
Correlation
Stock markets
- Rights
- openAccess
- License
- Atribución-NoComercial-SinDerivadas 4.0 Internacional
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| dc.title.spa.fl_str_mv |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| dc.title.translated.eng.fl_str_mv |
Dependence between the time series of logreturn of price with the time series of logreturn of volume in stock markets |
| title |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| spellingShingle |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles 530 - Física INDICES DE FUTUROS DE ACCIONES ANALISIS DE INVERSIONES Stock index futures Investment analysis Econofı́sica Series de tiempo Logretorno de precios Logretorno de volúmenes Distribución de vuelos de Levy Distribución loglogistic Correlación Mercados bursátiles Econophysics Time series Price logreturn Volume logreturn Levy flight distribution Loglogistic distribution Correlation Stock markets |
| title_short |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| title_full |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| title_fullStr |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| title_full_unstemmed |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| title_sort |
Dependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátiles |
| dc.creator.fl_str_mv |
Páez Moreno, John Jairo |
| dc.contributor.advisor.none.fl_str_mv |
Quimbay Herrera, Carlos José |
| dc.contributor.author.none.fl_str_mv |
Páez Moreno, John Jairo |
| dc.contributor.researchgroup.spa.fl_str_mv |
Econofisica y Sociofisica |
| dc.subject.ddc.spa.fl_str_mv |
530 - Física |
| topic |
530 - Física INDICES DE FUTUROS DE ACCIONES ANALISIS DE INVERSIONES Stock index futures Investment analysis Econofı́sica Series de tiempo Logretorno de precios Logretorno de volúmenes Distribución de vuelos de Levy Distribución loglogistic Correlación Mercados bursátiles Econophysics Time series Price logreturn Volume logreturn Levy flight distribution Loglogistic distribution Correlation Stock markets |
| dc.subject.lemb.spa.fl_str_mv |
INDICES DE FUTUROS DE ACCIONES ANALISIS DE INVERSIONES |
| dc.subject.lemb.eng.fl_str_mv |
Stock index futures Investment analysis |
| dc.subject.proposal.spa.fl_str_mv |
Econofı́sica Series de tiempo Logretorno de precios Logretorno de volúmenes Distribución de vuelos de Levy Distribución loglogistic Correlación Mercados bursátiles |
| dc.subject.proposal.eng.fl_str_mv |
Econophysics Time series Price logreturn Volume logreturn Levy flight distribution Loglogistic distribution Correlation Stock markets |
| description |
ilustraciones, graficas |
| publishDate |
2023 |
| dc.date.accessioned.none.fl_str_mv |
2023-02-07T13:30:28Z |
| dc.date.available.none.fl_str_mv |
2023-02-07T13:30:28Z |
| dc.date.issued.none.fl_str_mv |
2023-02-06 |
| dc.type.spa.fl_str_mv |
Trabajo de grado - Maestría |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/masterThesis |
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info:eu-repo/semantics/acceptedVersion |
| dc.type.content.spa.fl_str_mv |
Text |
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http://purl.org/redcol/resource_type/TM |
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acceptedVersion |
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https://repositorio.unal.edu.co/handle/unal/83345 |
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Universidad Nacional de Colombia |
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Repositorio Institucional Universidad Nacional de Colombia |
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https://repositorio.unal.edu.co/ |
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https://repositorio.unal.edu.co/handle/unal/83345 https://repositorio.unal.edu.co/ |
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Universidad Nacional de Colombia Repositorio Institucional Universidad Nacional de Colombia |
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spa |
| language |
spa |
| dc.relation.references.spa.fl_str_mv |
A. Einstein, Über die von der molekularkinetischen Theorie der Wärme geforderte Be- wegung von in ruhenden Flüssigkeiten suspendierten Teilchen, Annalen der Physik. 322, 549-560 (1905). https://doi.org/10.1002/andp.19053220806 A. Einstein, Théorie de la spéculation, Annales scientifiques de l’École Normale Supérieure. 17, 21-86 (1900) http://www.numdam.org/item/ASENS_1900_3_17__21_0/ N. G. van Kampen, Itô versus Stratonovich, Journal of Statistical Physics. 24, 175–187 (1981) https://doi.org/10.1007/BF01007642 L. Blanco, V. Arunachalam Introduction to Probability and Stochastic Processes with Ap- plications, volume 1 of 1. John Wiley & Sons, Inc., 3 edition, 6 2012. K. Ito, H. P. Mckean Diffusion Processes and their Sample Paths, Springer Berlin, 1 edition, (1996) M. F. M. Osborne, Brownian Motion in the Stock Market, Operation Research. 7(2), 145- 173 (1959) https://doi.org/10.1287/opre.7.2.145 P. Samuelson, Proof that properly anticipated price fluctuate randomly, IMR- INDUSTRIAL MANAGMENT REVIEW. 6(2), 41-49 (1965) F. Black, M. Scholes, The Pricing of Options and Corporate Liabilities , Journal of Political Economy. 81, 637-654 (1973) https://www.jstor.org/stable/1831029 D. Duffie, Dynamic Asset Pricing Theory, volume 1. Princenton, N.J: Princenton Univer- sity Press, 1 editon, 1996. 24, 175–187 (1981) H. Follmer, A. Shied Stochastic Finance: An Introduction in Discrete Time 2, volume 1. Walter Gruyter, 2 edition, (2004) B. Mandelbrot, The pareto-levy law and the distribution of income., International Eco- nomic Review. 1(1), 79–106 (1960) S. Heston, A Closed-Form Solution for Options with Stochastic Volatility with Applica- tions to Bond and Currency Options, The Review of Financial Studies. 6, 327–343 (1993) https://doi.org/10.1093/rfs/6.2.327 R. Cont, P. Tankot, Financial Modelling with Jump Processes, volume 1. London: Chapman & Hall /CRC, 1 edition, (2004) C. P. Kindleberger, R. Aliber, Manias, Panics and Crashes , A History of Financial Crises. volume 1. New York: Wiley, 5 edition, (2005) https://link.springer.com/book/ 10.1057/9780230628045 H. E. Stanley, V. Afanasyev, Anomalous fluctuations in the dynamics of complex systems: from DNA and physiology to econophysics, Physica A. 224, 302-321 (1996) https://doi. org/10.1016/0378-4371(95)00409-2 H. E. Stanley,V. Buldyrev, Correlated randomness and switching phenomena, Physica A: Statistical Mechanics and its Applications. 389, 2880-2893 (2010) https://doi.org/10. 1016/j.physa.2010.02.023 V. Plerou, P. Gopikrishnan, Econophysics: financial time series from a statistical physics point of view, Physica A. 279, 443-456 (2000) https://doi.org/10.1016/ S0378-4371(00)00010-8 B. Podobnik, D. Horvatic, The competitiveness versus the wealth of a country, Nature Scientific Reports. 678, 9 (2012). H. M. Gupta, J. R. Campanha, The gradually truncated Lévy flight for systems with power-law distributions, Physica A. 268, 231-239 (1999) https://doi.org/10.1016/ S0378-4371(99)00028-X R. N. Mantegna, H. E. Stanley, Ultra-slow convergence to a Gaussian: The truncated Lévy flight, Springer, Berlin, Heidelberg. Lecture Notes in Physics, 450, (2005) https: //doi.org/10.1007/3-540-59222-9_42 A. Dragulescu, V. M. Yakovenko Statistical mechanics of money, The European Physical Journal B. 17.4, 723-729 (2000). https://arxiv.org/abs/cond-mat/0001432 A. Chakraborti, B. K. Chakrabarti Statistical mechanics of money, How saving propensity affects its distribution. The European Physical Journal B 17(1), 167-170 (2000) C. Silva, V. M. Yakovenko, Comparison between the probability distribution of returns in the Heston model and empirical data for stock indexes, Physica A 324, 303-310 (2003). https://arxiv.org/abs/cond-mat/0211050 C. Silva, R. Prange, Exponential distribution of financial returns at mesoscopic time lags: a new stylized fact,Physica A. 344, 227-235 (2004) https://doi.org/10.1016/j.physa. 2004.06.122 H. Kleinert, X. J Chen, Boltzmann distribution and market temperature, Physica A. 383, 513-518 (2007) https://doi.org/10.1016/j.physa.2007.04.101 J. Bouchaud, Elements for a theory of financial risks, Physica A. 263, 415-426 (1999) https://doi.org/10.1016/S0378-4371(98)00486-5 Z. Eisler, J. Kertész Fluctuation scaling in complex systems: Taylor’s law and beyond, Advances in Physics. 57, 89 (2008) https://doi.org/10.1080/00018730801893043 A. Fronczak, P. Fronczak Origins of Taylor’s power law for fluctuation scaling in complex systems, Physical Review E. 81, 066112 (2010). https://doi.org/10.1103/PhysRevE. 81.066112 F. S Abril, C. J. Quimbay, Temporal fluctuation scaling in nonstationary time series using the path integral formalism, Physical Review E. 103, 042126 (2021) https://doi. org/10.1103/PHYSREVE.103.042126 I. Nourdin, Selected Aspects of Fractional Brownian Motion, Bocconi & Springer Series. New York (2012) J. Voit, The Statistical Mechanics of Financial Markets, Springer Science & Business Media Berlin, Alemania, (2005) G. M. Viswanathan, M. G. da Luz, E. Raposo The physics of foraging: an introduction to random searches and biological encounters,Cambridge University Press, (2011) Z. Yang,Geometric brownian motion model in financial market University of California, Berkeley (2015) F. S Abril, Uso del formalismo de la integral de camino de Feynman para el estudio de las funciones de distribución de logretornos de precios de acciones y sus propiedades, Trabajo de Grado, Facultad de Ciencias, Universidad Nacional de Colombia, sede Bogotá, (2019). C. J. Quimbay Complex system properties in the spreading of COVID-19 pandemic, Re- vista de la Academia Colombiana de Ciencias Exactas, Fı́sicas y Naturales. 45(177), 1039- 1052 (2021) M. I Ahmad, C. D. Sinclair Loglogistic flood frequency analysis, Journal of Hydrology, 98 205-224, (1988). A. G. Asuero, A. Sayago The Correlation Coefficient: An Overview,Critical Reviews in Analytical Chemistry, 36,41-59,(2006) C. W.Gardiner, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, 2da ed. (Springer-Verlag 1990). A. Stephan and R.E.Whaley Intraday Price Change and Trading Volume Relations in the Stock and Stock Option Markets. (1990) B. Podobnik, B., Horvatic, D., Petersen,,Cross-Correlations between volume change and price change. Proceedings of the National Academy of Sciences. 106(52), 22079-22084 (2009) D. Wang and Yuan. Suo,Price-volume cross-correlations analysis of CSI300 index futu- res.Physica A. 392, 1172-1179 (2013) W. Fengshong, S. Havlin, H Stanley,Financial Factor influence on scaling and memory of trading volume in stock market. Physical Review E. 84, 46-112.(2011) Y. Yuang, X. Zhuang, Z Liu,Price Volume multifractal analysis and its aplication in Chinese stock markets.Physica A. 391(12), 3484-3495 (2013) T. Coy Mondragón, Dependencia en el tiempo de las series de tiempo de log-retornos diarios en los mercádos bursátiles internacionales. Tesis de Maestrı́a, Facultad de Ciencias, Universidad Nacional de Colombia(2015) S. Ghashghaie and W.BreymannTurbulent cascades in foreign exchange markets. Nature, 381(6585), 767-770 (1996) Shalizi, Cosma.An introduction to econophysics correlations and complexity in finance Quantitative Finance 1, 391 (2001) Negrea, Bogdan. A statistical measure of financial crises magnitude. Physica A. 397, 54-75 (2014) G. Zumbach, Gilles O.Measuring shocks in financial markets. International Journal of Theoretical and Applied Finance. 3, 347-355 (2000) I. Antoniou and Vi.V.Ivanov On the log-normal distribution of stock market data. Physica A. 331, 617-638 (2004) L.G. Moyano and J. de Souza Multi-fractal structure of traded volume in financial markes. Physica A. 371.1, 118-121 (2006) F. Selcuk and R. Gencay, Intraday dynamics of stock market returns and volatility. Phy- sica A. 367, 375-387 (2006) N. Balakrishnan and N.B. Nevzorov, A Primer on Statistical Distributions. Journal of the American Statistical Association. 99, 466-568 (2004) C.Schinckus, Is econophysics a new discipline? The neopositivist argument. Physica A. 389(18), 3814-3821 (2010) Y. Gingras and C.Schinckus, The institutionalization of econophysics in the shadow of physics. Journal of the History of Economic Thought. 34(1), 109-130 (2012) B. Maillet, T Michel An index of market shocks based on multiscale analysis. Quantitative Finance. 3(2), 88. (2003) J.P. Bouchaud, A Johansen Stock market crashes, precursors and replicas. Journal de Physique. 6.1, 167-175 (1996) F. Lillo, R.N Mantegna Power-law relaxation in a complex system: Omori law after a financial market crash. Physical Review E. 68.1, 016119 (2003) P. Levy, Monthly Notices of the Royal Astronomical Society. Priestley and Weale. Vol.13 (1853) H.E. Hurst, Transactions of the American Society of Civil Engineers. Long term storage capacity of reservoirs. 770-799 (1951) M.M. Garcı́a and M. Ruiz, A permutation entropy based test for causality: the volume- tock price relation. Physica A. 398, 280-288 (2014) A. Goldberger S. Havlin F., Mosaic organization of DNA nucleotides. Physical review. 49.2, 1685 (1992) |
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Universidad Nacional de Colombia |
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Bogotá - Ciencias - Maestría en Ciencias - Física |
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Facultad de Ciencias |
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Bogotá, 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_abf2Quimbay Herrera, Carlos José4b1e98c4ca149ca0eff2f76f07ee12d9Páez Moreno, John Jairo191468c26cf89c85a3f0e6275ebf0cedEconofisica y Sociofisica2023-02-07T13:30:28Z2023-02-07T13:30:28Z2023-02-06https://repositorio.unal.edu.co/handle/unal/83345Universidad Nacional de ColombiaRepositorio Institucional Universidad Nacional de Colombiahttps://repositorio.unal.edu.co/ilustraciones, graficasEn esta tesis se realiza una investigación basada en el estudio de datos empı́ricos sobre la existencia de relaciones entre la serie de tiempo de volúmenes de transacción diarios de acciones y la serie de tiempo de precios diarios de acciones para diferentes mercados bursáti- les internacionales. Para ello, primero se ajustan los datos de logretornos diarios de precios de 230 acciones de 23 ı́ndices distintos a distribuciones de probabilidad de Levy estables, y se muestra que la varianza de estas series se relaciona con la fracción de los parámetros de ajuste de escala y forma de la distribución, mediante una ley de potencias. A continuación se encuentra que los datos de logretornos diarios de volumen de 460 acciones de los mismos 23 ı́ndices ajustan a la distribución loglogistic, se muestra también la existencia de una ley de potencias entre la varianza y la fracción de los parámetros de ajuste de escala y forma de la distribucı́ón. Una vez que se encuentran los patrones de distribución que ajustan las series de tiempo logretornos diarios de precios y logretornos diarios de volúmenes, se determinan las correlaciónes que cuantifican que tanto los volúmenes inciden en los precios. Posterior- mente, se ajustan los precios normalizados a la distribución loglogistic, se halla la relación en forma de ley de potencias entre la varianza y la fracción entre los parámetros de ajuste de escala y forma, y se comparan los exponentes de esta ley con los exponentes que se hallaron previamente para los logretorno de volumenes. Finalmente, se calculan los promedios de los volúmenes y los promedios de los precios de las acciones asociadas a un ı́ndice cada dı́a, ası́ también se calculan las desviaciones de los volúmenes y las desviaciones de los precios de las acciones asociadas a un ı́ndice cada dı́a. Se obtienen altas correlaciones entre las series de tiempo de volúmenes y las series de tiempo de precios, y nuevos patrones o regularidades que pueden caracterizar los mercados. Se hallan también altas correlaciones entre los promedios de los precios entre diferentes ı́ndices lo que significa que lo que pueda ocurrir en un mercado afecta a otros mercados en diferentes partes del mundo. (Texto tomado de la fuente)In this thesis, an investigation is carried out based on the study of empirical data on the existence of relationships between the time series of daily stock trading volumes and the time series of daily stock prices for different international stock markets. To do this, first, the daily price logreturns data of 230 shares of 23 different indices are fitted to stable Levy probability distributions, and it is shown that the variance of these series is related to the fraction of the scaling parameters and form of the distribution, by means of a power law. Next, it is found that the data of daily volume logreturns of 460 shares of the same 23 index fit the loglogistic distribution, it also shows the existence of a power law between the variance and the frac- tion of the scale adjustment parameters and shape of the distribution. Once the distribution patterns that adjust the daily price logreturns and volume daily logreturns time series are found, the connections that quantify how much volumes affect prices are determined. Later, the normalized prices are fitted to the loglogistic distribution, the relationship is found in the form of a power law between the variance and the fraction between the scale and shape adjustment parameters, and the exponents of this law are compared with the exponents that were previously found for logreturn volumes. Finally, the averages of the volumes and the averages of the prices of the shares associated with an index are calculated each day, as well as the deviations of the volumes and the deviations of the prices of the shares associated with an index each day. High correlations were obtained between the volume time series and the price time series, and new patterns or regularities that can characterize the markets. There are also high correlations between the average prices between different indices, which means that what happens in one market affects other markets in different parts of the world.MaestríaMagíster en Ciencias - FísicaEconofísica196 páginasapplication/pdfspaUniversidad Nacional de ColombiaBogotá - Ciencias - Maestría en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá530 - FísicaINDICES DE FUTUROS DE ACCIONESANALISIS DE INVERSIONESStock index futuresInvestment analysisEconofı́sicaSeries de tiempoLogretorno de preciosLogretorno de volúmenesDistribución de vuelos de LevyDistribución loglogisticCorrelaciónMercados bursátilesEconophysicsTime seriesPrice logreturnVolume logreturnLevy flight distributionLoglogistic distributionCorrelationStock marketsDependencia entre las series de tiempo de log-retorno de precio con las series de tiempo de log-retorno de volumen en mercados bursátilesDependence between the time series of logreturn of price with the time series of logreturn of volume in stock marketsTrabajo de grado - Maestríainfo:eu-repo/semantics/masterThesisinfo:eu-repo/semantics/acceptedVersionTexthttp://purl.org/redcol/resource_type/TMA. Einstein, Über die von der molekularkinetischen Theorie der Wärme geforderte Be- wegung von in ruhenden Flüssigkeiten suspendierten Teilchen, Annalen der Physik. 322, 549-560 (1905). https://doi.org/10.1002/andp.19053220806A. Einstein, Théorie de la spéculation, Annales scientifiques de l’École Normale Supérieure. 17, 21-86 (1900) http://www.numdam.org/item/ASENS_1900_3_17__21_0/N. G. van Kampen, Itô versus Stratonovich, Journal of Statistical Physics. 24, 175–187 (1981) https://doi.org/10.1007/BF01007642L. Blanco, V. Arunachalam Introduction to Probability and Stochastic Processes with Ap- plications, volume 1 of 1. John Wiley & Sons, Inc., 3 edition, 6 2012.K. Ito, H. P. Mckean Diffusion Processes and their Sample Paths, Springer Berlin, 1 edition, (1996)M. F. M. Osborne, Brownian Motion in the Stock Market, Operation Research. 7(2), 145- 173 (1959) https://doi.org/10.1287/opre.7.2.145P. Samuelson, Proof that properly anticipated price fluctuate randomly, IMR- INDUSTRIAL MANAGMENT REVIEW. 6(2), 41-49 (1965)F. Black, M. Scholes, The Pricing of Options and Corporate Liabilities , Journal of Political Economy. 81, 637-654 (1973) https://www.jstor.org/stable/1831029D. Duffie, Dynamic Asset Pricing Theory, volume 1. Princenton, N.J: Princenton Univer- sity Press, 1 editon, 1996. 24, 175–187 (1981)H. Follmer, A. Shied Stochastic Finance: An Introduction in Discrete Time 2, volume 1. Walter Gruyter, 2 edition, (2004)B. Mandelbrot, The pareto-levy law and the distribution of income., International Eco- nomic Review. 1(1), 79–106 (1960)S. Heston, A Closed-Form Solution for Options with Stochastic Volatility with Applica- tions to Bond and Currency Options, The Review of Financial Studies. 6, 327–343 (1993) https://doi.org/10.1093/rfs/6.2.327R. Cont, P. Tankot, Financial Modelling with Jump Processes, volume 1. London: Chapman & Hall /CRC, 1 edition, (2004)C. P. Kindleberger, R. Aliber, Manias, Panics and Crashes , A History of Financial Crises. volume 1. New York: Wiley, 5 edition, (2005) https://link.springer.com/book/ 10.1057/9780230628045H. E. Stanley, V. Afanasyev, Anomalous fluctuations in the dynamics of complex systems: from DNA and physiology to econophysics, Physica A. 224, 302-321 (1996) https://doi. org/10.1016/0378-4371(95)00409-2H. E. Stanley,V. Buldyrev, Correlated randomness and switching phenomena, Physica A: Statistical Mechanics and its Applications. 389, 2880-2893 (2010) https://doi.org/10. 1016/j.physa.2010.02.023V. Plerou, P. Gopikrishnan, Econophysics: financial time series from a statistical physics point of view, Physica A. 279, 443-456 (2000) https://doi.org/10.1016/ S0378-4371(00)00010-8B. Podobnik, D. Horvatic, The competitiveness versus the wealth of a country, Nature Scientific Reports. 678, 9 (2012).H. M. Gupta, J. R. 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Physical review. 49.2, 1685 (1992)EstudiantesInvestigadoresLICENSElicense.txtlicense.txttext/plain; charset=utf-85879https://repositorio.unal.edu.co/bitstream/unal/83345/1/license.txteb34b1cf90b7e1103fc9dfd26be24b4aMD51ORIGINAL80902267.2023.pdf80902267.2023.pdfTesis de Maestría en Ciencias - Físicaapplication/pdf3091185https://repositorio.unal.edu.co/bitstream/unal/83345/2/80902267.2023.pdfbda6f7e8e71464ed2c805ed04f80c774MD52THUMBNAIL80902267.2023.pdf.jpg80902267.2023.pdf.jpgGenerated Thumbnailimage/jpeg3675https://repositorio.unal.edu.co/bitstream/unal/83345/3/80902267.2023.pdf.jpg3a66de77179c237e7f415a1ea82d8847MD53unal/83345oai:repositorio.unal.edu.co:unal/833452023-08-15 23:04:40.707Repositorio Institucional Universidad Nacional de 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