Isaac Scientific Publishing

Advances in Analysis

Measuring Risks in a Portfolio of Financial Assets using the Downside Risk Method

Download PDF (532.3 KB) PP. 1 - 15 Pub. Date: October 6, 2020

DOI: 10.22606/aan.2020.51001

Author(s)

  • Ngongo Isidore Séraphin
    Department of Mathematics, ENS, University of Yaoundé I, Cameroon
  • Jimbo Henri Claver*
    Department of Mathematics, ENS, University of Yaoundé I, Cameroon; Department of Applied Mathematics and Statistics, AUAF & Waseda University, Tokyo, Japan
  • Dongfack Saufack Arnaud
    Department of Mathematics, University of Yaoundé 1, Cameroon
  • Dongmo Tsamo Arthur
    Department of Mathematics, University of Yaoundé 1, Cameroon
  • Nkague Nkamba Léontine
    Department of Mathematics, ENS, University of Yaoundé I, Cameroon
  • Andjiga Gabriel Nicolas
    Department of Mathematics, University of Yaoundé 1, Cameroon
  • Etoua Rémy Magloire
    Department of Mathematics, Higher National Polytechnic School. Yaoundé 1, Cameroon

Abstract

Measuring risks in a portfolio of financial assets is a very high profile issue in financial mathematics research. In this article, we focus on the search for an efficient portfolio and a smooth efficient frontier using the Downside Risk method measured by the Semi-Variance to have a portfolio with minimal variance. More specifically, and considering a set of financial securities, we compare the Markowitz Mean-Variance method and the Downside Risk method. We find that Downside Risk is a better measure of risk than Mean-Variance and is therefore more suitable for building a portfolio of minimum variance.

Keywords

downside risk, average variance, efficient portfolio, efficient frontier, risk

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