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Improvement of Optimal Portfolio using Correlation Matrix

  • Journal of Insurance and Finance
  • 2020, 31(3), pp.171-210
  • DOI : 10.23842/jif.2020.31.3.006
  • Publisher : Korea Insurance Research Institute
  • Research Area : Social Science > Business Management
  • Received : April 27, 2020
  • Accepted : August 21, 2020
  • Published : August 31, 2020

Cheoljun Eom 1

1부산대학교

Accredited

ABSTRACT

This study empirically investigates the practical applicability of Markowitz (1952) optimization function through correlation matrixes among stocks in the Korean stock market. The proposed method is a correlation matrix that removes the property of a market factor included in the sample correlation matrix, that is, the non-market correlation matrix. For comparison with the previous studies, the correlation matrixes that is known in the optimal portfolio are utilized, along with equal-weighted and value-weighted portfolios. According to the results, the optimal portfolio from the non-market correlation matrix may construct better diversified portfolio, and then, achieve lower risk and higher performance compared to other correlation matrixes. In comparison by the perspective of prediction error from expected return and standard deviation of returns, moreover, the optimal portfolio from the non-market correlation matrix has much lower magnitude of sensitivity from prediction error of input variables than those from the other correlation matrixes. These results show the evidence supporting that the non-market correlation matrix has a comparative benefit for improving the practical applicability of the optimal function as well as for effectively reducing the influence of prediction error from input variables.

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