Portfolio optimization under lower partial risk measures

Hiroshi Konno, Hayato Waki, Atsushi Yuuki

Research output: Contribution to journalArticlepeer-review

56 Citations (Scopus)


Portfolio management using lower partial risk (downside risk) measures is attracting more attention of practitioners in recent years. The purpose of this paper is to review important characteristics of these risk measures and conduct simulation using four alternative measures, lower semi-variance, lower semi-absolute deviation, first order below target risk and conditional value-at-risk. We will show that these risk measures are useful to control downside risk when the distribution of assets is non-symmetric. Further, we will propose a computational scheme to resolve the difficulty associated with solving a large dense linear programming problems resulting from these models. We will demonstrate that this method can in fact solve problems consisting of 104 assets and 105 scenarios within a practical amount of CPU time.

Original languageEnglish
Pages (from-to)127-140
Number of pages14
JournalAsia-Pacific Financial Markets
Issue number2
Publication statusPublished - 2002
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Finance


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