IDEAS home Printed from https://ideas.repec.org/a/pjm/journl/vxxiiy2017i1p3-23.html
   My bibliography  Save this article

Markowitz Efficient Frontier And Capital Market Line – Evidence From The Portuguese Stock Market

Author

Listed:
  • Teresa Garcia

    (ISEG - Lisbon School of Economics and Management, Universidade de Lisboa, and UECE, Portugal)

  • Daniel Borrego

    (ISEG - Lisbon School of Economics and Management, Universidade de Lisboa, Portugal)

Abstract

This paper estimates the efficient frontier and the capital market line using listed stocks of the Portuguese capital market that are part of the PSI20 index, considering two different periods - before and after the 2008 financial crisis, known as the Global Financial Crisis. The results show the impact of the 2008 financial crisis on the global minimum variance portfolio and on the market portfolio. The sensitivity analysis of the results to the inclusion or not of the year 2008 is also considered.

Suggested Citation

  • Teresa Garcia & Daniel Borrego, 2017. "Markowitz Efficient Frontier And Capital Market Line – Evidence From The Portuguese Stock Market," Portuguese Journal of Management Studies, ISEG, Universidade de Lisboa, vol. 22(1), pages 3-23.
  • Handle: RePEc:pjm:journl:v:xxii:y:2017:i:1:p:3-23
    as

    Download full text from publisher

    File URL: https://ejms.iseg.ulisboa.pt/files/3_EJMSVol22Issue1.2017_Markowitzefficientfrontierandcapitalmarketline_final.2.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Alan Kirman, 2010. "The Economic Crisis is a Crisis for Economic Theory ," CESifo Economic Studies, CESifo Group, vol. 56(4), pages 498-535, December.
    2. Elton, Edwin J. & Gruber, Martin J. & Padberg, Manfred W., 1977. "Simple Rules for Optimal Portfolio Selection: The Multi Group Case," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 12(3), pages 329-345, September.
    3. Bawa, Vijay S & Elton, Edwin J & Gruber, Martin J, 1979. "Simple Rules for Optimal Portfolio Selection in Stable Paretian Markets," Journal of Finance, American Finance Association, vol. 34(4), pages 1041-1047, September.
    4. Maria Teresa Medeiros Garcia & João Pedro Silva Martins Guerreiro, 2016. "Internal and external determinants of banks’ profitability: The Portuguese case," Journal of Economic Studies, Emerald Group Publishing, vol. 43(1), pages 90-107, January.
    5. Jean-Bernard Chatelain & Kirsten Ralf, 2012. "The Failure Of Financial Macroeconomics And What To Do About It," Manchester School, University of Manchester, vol. 80, pages 21-53, September.
    6. Banz, Rolf W., 1981. "The relationship between return and market value of common stocks," Journal of Financial Economics, Elsevier, vol. 9(1), pages 3-18, March.
    7. Fama, Eugene F, 1991. "Efficient Capital Markets: II," Journal of Finance, American Finance Association, vol. 46(5), pages 1575-1617, December.
    8. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    9. Willem H. Buiter, 2003. "James Tobin: An Appreciation of his Contribution to Economics," Economic Journal, Royal Economic Society, vol. 113(491), pages 585-631, November.
    10. Dowd, Kevin, 2000. "Adjusting for risk:: An improved Sharpe ratio," International Review of Economics & Finance, Elsevier, vol. 9(3), pages 209-222, July.
    11. Fama, Eugene F & MacBeth, James D, 1973. "Risk, Return, and Equilibrium: Empirical Tests," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 607-636, May-June.
    12. Merton, Robert C., 1972. "An Analytic Derivation of the Efficient Portfolio Frontier," Journal of Financial and Quantitative Analysis, Cambridge University Press, vol. 7(4), pages 1851-1872, September.
    13. Timotej Jagric & Boris Podobnik & Sebastian Strasek & Vita Jagric, 2007. "Risk-Adjusted Performance of Mutual Funds: Some Tests," South-Eastern Europe Journal of Economics, Association of Economic Universities of South and Eastern Europe and the Black Sea Region, vol. 5(2), pages 233-244.
    14. Fama, Eugene F & French, Kenneth R, 1992. "The Cross-Section of Expected Stock Returns," Journal of Finance, American Finance Association, vol. 47(2), pages 427-465, June.
    15. Bank for International Settlements, 2011. "The impact of sovereign credit risk on bank funding conditions," CGFS Papers, Bank for International Settlements, number 43, december.
    16. J. Tobin, 1958. "Liquidity Preference as Behavior Towards Risk," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 25(2), pages 65-86.
    17. Dybvig, Philip H & Ingersoll, Jonathan E, Jr, 1982. "Mean-Variance Theory in Complete Markets," The Journal of Business, University of Chicago Press, vol. 55(2), pages 233-251, April.
    18. Thomas J. Brennan & Andrew W. Lo, 2011. "The Origin of Behavior," Quarterly Journal of Finance (QJF), World Scientific Publishing Co. Pte. Ltd., vol. 1(01), pages 55-108.
    19. Kolm, Petter N. & Tütüncü, Reha & Fabozzi, Frank J., 2014. "60 Years of portfolio optimization: Practical challenges and current trends," European Journal of Operational Research, Elsevier, vol. 234(2), pages 356-371.
    20. Fama, Eugene F. & French, Kenneth R., 1993. "Common risk factors in the returns on stocks and bonds," Journal of Financial Economics, Elsevier, vol. 33(1), pages 3-56, February.
    21. 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.
    22. David Feldman & Haim Reisman, 2003. "Simple Construction of the Efficient Frontier," European Financial Management, European Financial Management Association, vol. 9(2), pages 251-259, June.
    23. Merton, Robert C, 1969. "Lifetime Portfolio Selection under Uncertainty: The Continuous-Time Case," The Review of Economics and Statistics, MIT Press, vol. 51(3), pages 247-257, August.
    24. Treynor, Jack L & Black, Fischer, 1973. "How to Use Security Analysis to Improve Portfolio Selection," The Journal of Business, University of Chicago Press, vol. 46(1), pages 66-86, January.
    25. Eugene F. Fama & Kenneth R. French, 2004. "The Capital Asset Pricing Model: Theory and Evidence," Journal of Economic Perspectives, American Economic Association, vol. 18(3), pages 25-46, Summer.
    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. Maria Teresa Medeiros Garcia & Daniel Alexandre Bourdain Santos Borrego, 2018. "Calculating the Efficient Frontier for the Portuguese Stock Market," International Advances in Economic Research, Springer;International Atlantic Economic Society, vol. 24(4), pages 339-349, November.
    2. John Y. Campbell, 2000. "Asset Pricing at the Millennium," Journal of Finance, American Finance Association, vol. 55(4), pages 1515-1567, August.
    3. Sonntag, Dominik, 2018. "Die Theorie der fairen geometrischen Rendite [The Theory of Fair Geometric Returns]," MPRA Paper 87082, University Library of Munich, Germany.
    4. Qianwei Ying & Tahir Yousaf & Qurat ul Ain & Yasmeen Akhtar & Muhammad Shahid Rasheed, 2019. "Stock Investment and Excess Returns: A Critical Review in the Light of the Efficient Market Hypothesis," JRFM, MDPI, vol. 12(2), pages 1-22, June.
    5. Amir Amel†Zadeh, 2011. "The Return of the Size Anomaly: Evidence from the German Stock Market," European Financial Management, European Financial Management Association, vol. 17(1), pages 145-182, January.
    6. Fernando Rubio, 2005. "Eficiencia De Mercado, Administracion De Carteras De Fondos Y Behavioural Finance," Finance 0503028, University Library of Munich, Germany, revised 23 Jul 2005.
    7. Melody Nyangara & Davis Nyangara & Godfrey Ndlovu & Takawira Tyavambiza, 2016. "An Empirical Test of the Validity of the Capital Asset Pricing Model on the Zimbabwe Stock Exchange," International Journal of Economics and Financial Issues, Econjournals, vol. 6(2), pages 365-379.
    8. Eero Pätäri & Timo Leivo, 2017. "A Closer Look At Value Premium: Literature Review And Synthesis," Journal of Economic Surveys, Wiley Blackwell, vol. 31(1), pages 79-168, February.
    9. Turan G. Bali & Robert F. Engle & Yi Tang, 2017. "Dynamic Conditional Beta Is Alive and Well in the Cross Section of Daily Stock Returns," Management Science, INFORMS, vol. 63(11), pages 3760-3779, November.
    10. Tienyu Hwang & Simon Gao & Heather Owen, 2014. "Markowitz efficiency and size effect: evidence from the UK stock market," Review of Quantitative Finance and Accounting, Springer, vol. 43(4), pages 721-750, November.
    11. Lu Zhang, 2017. "The Investment CAPM," European Financial Management, European Financial Management Association, vol. 23(4), pages 545-603, September.
    12. Shahzad, Syed Jawad Hussain & Zakaria, Muhammad & Raza, Naveed, 2014. "Sensitivity Analysis of CAPM Estimates: Data Frequency and Time Frame," MPRA Paper 60110, University Library of Munich, Germany.
    13. 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.
    14. Zura Kakushadze & Willie Yu, 2016. "Multifactor Risk Models and Heterotic CAPM," Papers 1602.04902, arXiv.org, revised Mar 2016.
    15. Frankfurter, George M. & Phillips, Herbert E., 1996. "Normative implications of equilibrium models: Homogeneous expectations and other artificialities," Journal of Economic Behavior & Organization, Elsevier, vol. 31(1), pages 67-83, October.
    16. Jan Bastin, 2015. "Volatility Effect: An Application on the German Stock Market [Efekt nízkého rizika: Aplikace na německý akciový trh]," Český finanční a účetní časopis, Prague University of Economics and Business, vol. 2015(1), pages 36-54.
    17. 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.
    18. Vendrame, Vasco & Guermat, Cherif & Tucker, Jon, 2018. "A conditional regime switching CAPM," International Review of Financial Analysis, Elsevier, vol. 56(C), pages 1-11.
    19. Martin Wallmeier, 2000. "Determinanten erwarteter Renditen am deutschen Aktienmarkt — Eine empirische Untersuchung anhand ausgewählter Kennzahlen," Schmalenbach Journal of Business Research, Springer, vol. 52(1), pages 27-57, February.
    20. Amit Goyal, 2012. "Empirical cross-sectional asset pricing: a survey," Financial Markets and Portfolio Management, Springer;Swiss Society for Financial Market Research, vol. 26(1), pages 3-38, March.

    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:pjm:journl:v:xxii:y:2017:i:1:p:3-23. 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: Luís Mota de Castro, Tiago Cardão-Pito, Mark Crathorne (email available below). General contact details of provider: https://edirc.repec.org/data/isutlpt.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.