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Cited by 1,514

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Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market

Konno, Hiroshi, Yamazaki, Hiroaki·1991·Management Science

Abstract

The purpose of this paper is to demonstrate that a portfolio optimization model using the L 1 risk (mean absolute deviation risk) function can remove most of the difficulties associated with the classical Markowitz's model while maintaining its advantages over equilibrium models. In particular, the L 1 risk model leads to a linear program instead of a quadratic program, so that a large-scale optimization problem consisting of more than 1,000 stocks may be solved on a real time basis. Numerical experiments using the historical data of NIKKEI 225 stocks show that the L 1 risk model generates a portfolio quite similar to that of the Markowitz's model within a fraction of time required to solve the latter.

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Metadata

Authors
Konno, H., & Yamazaki, H.
Venue
Management Science
Published
1991-05
Volume
37
Issue
5
Pages
519-531
ISSN
  • 0025-1909 (ISSN-L)
  • 1526-5501
OpenAlex
W2038865108
Cited by
1,514
References
1
FWCI
9.79
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market. https://app.cochat.ai/papers/10.1287/mnsc.37.5.519
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Konno, H., & Yamazaki, H. (1991). Mean-Absolute Deviation Portfolio Optimization Model and Its Applications to Tokyo Stock Market. Management Science. https://doi.org/10.1287/mnsc.37.5.519

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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).

Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.