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Application of Markowitz Portfolio Theory by Building Optimal Portfolio on the US Stock Market

Author

Listed:
  • Martin Širůček

    (Department of Finance, Faculty for Business and Economics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech Republic)

  • Lukáš Křen

    (Department of Finance, Faculty for Business and Economics, Mendel University in Brno, Zemědělská 1, 613 00 Brno, Czech Republic)

Abstract

This paper is focused on building investment portfolios by using the Markowitz Portfolio Theory (MPT). Derivation based on the Capital Asset Pricing Model (CAPM) is used to calculate the weights of individual securities in portfolios. The calculated portfolios include a portfolio copying the benchmark made using the CAPM model, portfolio with low and high beta coefficients, and a random portfolio. Only stocks were selected for the examined sample from all the asset classes. Stocks in each portfolio are put together according to predefined criteria. All stocks were selected from Dow Jones Industrial Average (DJIA) index which serves as a benchmark, too. Portfolios were compared based on their risk and return profiles. The results of this work will provide general recommendations on the optimal approach to choose securities for an investor's portfolio.

Suggested Citation

  • Martin Širůček & Lukáš Křen, 2015. "Application of Markowitz Portfolio Theory by Building Optimal Portfolio on the US Stock Market," Acta Universitatis Agriculturae et Silviculturae Mendelianae Brunensis, Mendel University Press, vol. 63(4), pages 1375-1386.
    • Handle: RePEc:mup:actaun:actaun_2015063041375
    DOI: 10.11118/actaun201563041375
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    1. Estrada, Javier, 2002. "Systematic risk in emerging markets: the," Emerging Markets Review, Elsevier, vol. 3(4), pages 365-379, December.
    2. Amihud, Yakov & Mendelson, Haim, 1986. "Asset pricing and the bid-ask spread," Journal of Financial Economics, Elsevier, vol. 17(2), pages 223-249, December.
    3. Merton, Robert C, 1973. "An Intertemporal Capital Asset Pricing Model," Econometrica, Econometric Society, vol. 41(5), pages 867-887, September.
    4. Harry Markowitz, 1952. "Portfolio Selection," Journal of Finance, American Finance Association, vol. 7(1), pages 77-91, March.
    5. Kalman J. Cohen & Jerry A. Pogue, 1968. "Some Comments Concerning Mutual Fund Versus Random Portfolio Performance," The Journal of Business, University of Chicago Press, vol. 41, pages 180-180.
    6. 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.
    7. 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.
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    More about this item

    Keywords

    Markowitz Portfolio Theory; Modern Portfolio Theory; Capital Asset Pricing Model; CAPM; diversification; stock portfolio;
    All these keywords.

    JEL classification:

    • G11 - Financial Economics - - General Financial Markets - - - Portfolio Choice; Investment Decisions
    • G15 - Financial Economics - - General Financial Markets - - - International Financial Markets

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