IDEAS home Printed from https://ideas.repec.org/a/col/000475/011750.html
   My bibliography  Save this article

El teorema de la separación de Tobin: información del primer semestre de 2008 del mercado accionario colombiano

Author

Listed:
  • José Gabriel Astaiza Gómez

Abstract

El artículo muestra una situación especial en donde el portafolio surgido del teorema de la separación de Tobin no se encuentra en la frontera eficiente de Markowitz. El desarrollo del mismo inicia con una revisión del modelo de selección de carteras de Harry Markowitz seguido del teorema de la separación de Tobin. A continuación, se hace uso de los modelos como herramientas para el inversionista individual, con datos sobre el mercado accionario colombiano del primer semestre de 2008. Finalmente se muestran las conclusiones. Es importante enfatizar que el objetivo del artículo no es hacer predicciones sobre los rendimientos esperados, varianzas o covarianzas de los mismos rendimientos, ni sugerir un portafolio óptimo para un inversionista con una función de utilidad particular, sino mostrar un escenario concreto en el que el teorema de la separación de Tobin conlleva a un portafolio ubicado por fuera de la frontera eficiente. Tobin’s Separation Theorem: Information from the Colombian Stock Market for the First Half of 2008 This paper shows a special situation where a portfolio created based on Tobin’s separation theorem does not match the Markowitz efficient set. Next a review of Markowitz´s portfolio selection theory is offered, followed by a review of Tobin’s separation theorem. Next, these models are used as tools for the individual investor with data on the Colombian stock market of the first half of 2008. Finally, the conclusions are shown. It is important to emphasize that the objective of this paper is not to make predictions upon expected returns, variances and covariances of these returns, nor to suggest an optimal portfolio for an investor with a particular utility function, but to expose a concrete scenario in which Tobin´s theorem leads to a portfolio located outside Markowitz´s efficient set.

Suggested Citation

  • José Gabriel Astaiza Gómez, 2012. "El teorema de la separación de Tobin: información del primer semestre de 2008 del mercado accionario colombiano," Revista Ad-Minister, Universidad EAFIT, October.
  • Handle: RePEc:col:000475:011750
    as

    Download full text from publisher

    File URL: http://publicaciones.eafit.edu.co/index.php/administer/article/view/1732
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    2. John Lintner, 1965. "Security Prices, Risk, And Maximal Gains From Diversification," Journal of Finance, American Finance Association, vol. 20(4), pages 587-615, December.
    3. William F. Sharpe, 1964. "Capital Asset Prices: A Theory Of Market Equilibrium Under Conditions Of Risk," Journal of Finance, American Finance Association, vol. 19(3), pages 425-442, September.
    4. Luis Ángel Medina, 2003. "Aplicación de la teoría del portafolio en el mercado accionario colombiano," Revista Cuadernos de Economia, Universidad Nacional de Colombia, FCE, CID, December.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Giovanni Bonaccolto & Massimiliano Caporin & Sandra Paterlini, 2018. "Asset allocation strategies based on penalized quantile regression," Computational Management Science, Springer, vol. 15(1), pages 1-32, January.
    2. Zhong, Angel, 2018. "Idiosyncratic volatility in the Australian equity market," Pacific-Basin Finance Journal, Elsevier, vol. 50(C), pages 105-125.
    3. Bao, Te & Diks, Cees & Li, Hao, 2018. "A generalized CAPM model with asymmetric power distributed errors with an application to portfolio construction," Economic Modelling, Elsevier, vol. 68(C), pages 611-621.
    4. Lucey, Brian & Yahya, Muhammad & Khoja, Layla & Uddin, Gazi Salah & Ahmed, Ali, 2024. "Interconnectedness and risk profile of hydrogen against major asset classes," Renewable and Sustainable Energy Reviews, Elsevier, vol. 192(C).
    5. Kolani Pamane & Anani Ekoue Vikpossi, 2014. "An Analysis of the Relationship between Risk and Expected Return in the BRVM Stock Exchange: Test of the CAPM," Research in World Economy, Research in World Economy, Sciedu Press, vol. 5(1), pages 13-28, March.
    6. Fatemi, Ali M. & Tavakkol, Amir & Dukas, Stephen P., 1996. "Foreign exchange exposure and the pricing of exchange rate risk," Global Finance Journal, Elsevier, vol. 7(2), pages 169-189.
    7. Kerstens, Kristiaan & Mounir, Amine & de Woestyne, Ignace Van, 2011. "Non-parametric frontier estimates of mutual fund performance using C- and L-moments: Some specification tests," Journal of Banking & Finance, Elsevier, vol. 35(5), pages 1190-1201, May.
    8. Bas Peeters & Cees L. Dert & André Lucas, 2003. "Black Scholes for Portfolios of Options in Discrete Time: the Price is Right, the Hedge is wrong," Tinbergen Institute Discussion Papers 03-090/2, Tinbergen Institute.
    9. Modigliani, Franco. & Pogue, G. A., 1973. "An introduction to risk and return concepts and evidence," Working papers 646-73., Massachusetts Institute of Technology (MIT), Sloan School of Management.
    10. He, Zhen & O’Connor, Fergal & Thijssen, Jacco, 2022. "Identifying proxies for risk-free assets: Evidence from the zero-beta capital asset pricing model," Research in International Business and Finance, Elsevier, vol. 63(C).
    11. Karagiannidis, Iordanis & Vozlyublennaia, Nadia, 2016. "Limits to mutual funds' ability to rely on mean/variance optimization," Journal of Empirical Finance, Elsevier, vol. 37(C), pages 282-292.
    12. Eom, Cheoljun, 2017. "Two-faced property of a market factor in asset pricing and diversification effect," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 471(C), pages 190-199.
    13. Jung, Sean S. & Chang, Woojin, 2016. "Clustering stocks using partial correlation coefficients," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 462(C), pages 410-420.
    14. Fracasso, Laís Martins & Müller, Fernanda Maria & Ramos, Henrique Pinto & Righi, Marcelo Brutti, 2023. "Is there a risk premium? Evidence from thirteen measures," The Quarterly Review of Economics and Finance, Elsevier, vol. 92(C), pages 182-199.
    15. Lahav, Yaron & Benzion, Uri, 2022. "What happens to investment choices when interest rates change? An experimental study," The Quarterly Review of Economics and Finance, Elsevier, vol. 86(C), pages 471-481.
    16. Dewandaru, Ginanjar & Bacha, Obiyathulla Ismath & Masih, A. Mansur M. & Masih, Rumi, 2015. "Risk-return characteristics of Islamic equity indices: Multi-timescales analysis," Journal of Multinational Financial Management, Elsevier, vol. 29(C), pages 115-138.
    17. Schuhmacher, Frank & Auer, Benjamin R., 2014. "Sufficient conditions under which SSD- and MR-efficient sets are identical," European Journal of Operational Research, Elsevier, vol. 239(3), pages 756-763.
    18. Majeed, Raseena & Masih, Mansur, 2016. "Impact of macroeconomic variables on shariah stock markets: evidence from Malaysia based on ARDL approach," MPRA Paper 106118, University Library of Munich, Germany.
    19. Siebenmorgen, Niklas & Weber, Elke U. & Weber, Martin, 2000. "Communicating Asset Risk: How the format of historic volatility information affects risk perception and investment decisions," Sonderforschungsbereich 504 Publications 00-38, Sonderforschungsbereich 504, Universität Mannheim;Sonderforschungsbereich 504, University of Mannheim.
    20. Huber, Christoph & Kirchler, Michael, 2023. "Experiments in finance: A survey of historical trends," Journal of Behavioral and Experimental Finance, Elsevier, vol. 37(C).

    More about this item

    Keywords

    Portafolio; riesgo; rendimiento; frontera eficiente; activo sin riesgo; portfolio; risk; return; efficient set; riskless asset;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:col:000475:011750. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Heiner Mercado Percia (email available below). General contact details of provider: https://edirc.repec.org/data/eaeafco.html .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.