IDEAS home Printed from https://ideas.repec.org/a/cmk/journl/y2011p53-65.html

Modern Portfolio Theory: Identification Of Optimal Portfolios And Capital Asset Pricing Model Test

Author

Listed:
  • Visar Malaj

    (University of Tirana, Faculty of Economy, Department of Economics; UniversitA� degli Studi di Padova (Italy))

Abstract

The tool we employ in this work is the well-known Modern Portfolio Theory (MPT), which forms the basis of virtually all quantitative portfolio management and theory today. Since its formulation half a century ago it has been seized on by the investment industry as a workable tool for investment and risk management, in particular because of its simplicity and intuitive appeal, and it remains one of the cornerstones in the foundation on which today’s asset management industry rests. The MPT introduced the analysis of portfolios of investments by considering the expected return and risk of individual assets and, crucially, their interrelationship as measured by correlation. In MPT diversification plays an important role. The Capital Asset Pricing Model (CAPM) relates the returns on individual assets or entire portfolios to the return on the market as a whole. In CAPM investors are compensated for taking systematic risk but not for taking specific risk. This is because specific risk can be diversified away by holding many different assets. We illustrate this concepts in an application on real market data. We use an optimization in order to find the optimal portfolios and then we test the CAPM.

Suggested Citation

  • Visar Malaj, 2011. "Modern Portfolio Theory: Identification Of Optimal Portfolios And Capital Asset Pricing Model Test," Journal Articles, Center For Economic Analyses, pages 53-65, December.
    • Handle: RePEc:cmk:journl:y:2011:p:53-65
    as

    Download full text from publisher

    File URL: http://journal.cea.org.mk/files/journals/1/articles/88/public/88-330-1-PB.pdf
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Epstein, Larry G & Zin, Stanley E, 1991. "Substitution, Risk Aversion, and the Temporal Behavior of Consumption and Asset Returns: An Empirical Analysis," Journal of Political Economy, University of Chicago Press, vol. 99(2), pages 263-286, April.
    2. Avinash K. Dixit & Robert S. Pindyck, 1994. "Investment under Uncertainty," Economics Books, Princeton University Press, edition 1, number 5474.
    3. Billio, Monica & Getmansky, Mila & Lo, Andrew W. & Pelizzon, Loriana, 2012. "Econometric measures of connectedness and systemic risk in the finance and insurance sectors," Journal of Financial Economics, Elsevier, vol. 104(3), pages 535-559.
    4. Monica Billio & Mila Getmansky & Andrew W. Lo & Loriana Pelizzon, 2010. "Econometric Measures of Systemic Risk in the Finance and Insurance Sectors," NBER Working Papers 16223, National Bureau of Economic Research, Inc.
    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. Panagiotidis, Theodore & Printzis, Panagiotis, 2020. "What is the investment loss due to uncertainty?," Global Finance Journal, Elsevier, vol. 45(C).
    2. Allen, Franklin & Babus, Ana & Carletti, Elena, 2010. "Financial Connections and Systemic Risk," Working Papers 10-20, University of Pennsylvania, Wharton School, Weiss Center.
    3. Miquel Faig, 1997. "INVESTMENT IRREVERSIBILITY IN GENERAL EQUILIBRIUM: Capital Accumulation, Interest Rates, and the Risk Premium," Working Papers faig-97-01, University of Toronto, Department of Economics.
    4. Suresh M. Sundaresan, 2000. "Continuous‐Time Methods in Finance: A Review and an Assessment," Journal of Finance, American Finance Association, vol. 55(4), pages 1569-1622, August.
    5. Bussière, Matthieu & Hoerova, Marie & Klaus, Benjamin, 2015. "Commonality in hedge fund returns: Driving factors and implications," Journal of Banking & Finance, Elsevier, vol. 54(C), pages 266-280.
    6. Xisong Jin & Francisco Nadal De Simone, 2017. "Systemic Financial Sector and Sovereign Risks," BCL working papers 109, Central Bank of Luxembourg.
    7. Ellis, Scott & Sharma, Satish & Brzeszczyński, Janusz, 2022. "Systemic risk measures and regulatory challenges," Journal of Financial Stability, Elsevier, vol. 61(C).
    8. Costis Skiadas, 2013. "Smooth Ambiguity Aversion toward Small Risks and Continuous-Time Recursive Utility," Journal of Political Economy, University of Chicago Press, vol. 121(4), pages 000.
    9. Addo, Kwabena Aboah & Hussain, Nazim & Iqbal, Jamshed, 2021. "Corporate Governance and Banking Systemic Risk: A Test of the Bundling Hypothesis," Journal of International Money and Finance, Elsevier, vol. 115(C).
    10. Olijslagers, Stan & van der Ploeg, Frederick & van Wijnbergen, Sweder, 2023. "On current and future carbon prices in a risky world," Journal of Economic Dynamics and Control, Elsevier, vol. 146(C).
    11. Sayuj Choudhari & Richard Licheng Zhu, 2021. "Diagnosis of systemic risk and contagion across financial sectors," Papers 2101.06585, arXiv.org.
    12. Vít Pošta & Zdeněk Pikhart, 2015. "Financial Risk and Real Variables: Evidence Based on a SVAR Analysis of the Czech Economy," Prague Economic Papers, Prague University of Economics and Business, vol. 2015(5), pages 516-537.
    13. Gianluca Femminis, 2006. "Risk‐Aversion, Optimal Leverage And The Investment–Uncertainty Relation," Metroeconomica, Wiley Blackwell, vol. 57(2), pages 214-238, May.
    14. Veni Arakelian & Shatha Qamhieh Hashem, 2020. "The Leaders, the Laggers, and the “Vulnerables”," Risks, MDPI, vol. 8(1), pages 1-32, March.
    15. Mariia Belaia & Michael Funke & Nicole Glanemann, 2017. "Global Warming and a Potential Tipping Point in the Atlantic Thermohaline Circulation: The Role of Risk Aversion," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 67(1), pages 93-125, May.
    16. Sun, Zhenzhen & Wang, Yaping, 2015. "Corporate precautionary savings: Evidence from the recent financial crisis," The Quarterly Review of Economics and Finance, Elsevier, vol. 56(C), pages 175-186.
    17. W. Botzen & Jeroen Bergh, 2014. "Specifications of Social Welfare in Economic Studies of Climate Policy: Overview of Criteria and Related Policy Insights," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 58(1), pages 1-33, May.
    18. Jaimes Caruana, 2013. "Measuring Systemic Risk," Chapters, in: Andreas Dombret & Otto Lucius (ed.), Stability of the Financial System, chapter 9, Edward Elgar Publishing.
    19. Xisong Jin & Francisco Nadal De Simone, 2015. "Investment funds? vulnerabilities: A tail-risk dynamic CIMDO approach," BCL working papers 95, Central Bank of Luxembourg.
    20. Zimo Yang & Tao Zhou & Pak Ming Hui & Jian-Hong Ke, 2012. "Instability in Evolutionary Games," PLOS ONE, Public Library of Science, vol. 7(11), pages 1-9, November.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:cmk:journl:y:2011:p:53-65. 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: Marjan Nikolov (email available below). General contact details of provider: https://edirc.repec.org/data/ceaskmk.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.