Recent Advances In Portfolio Optimization

Reha H. Tutuncu

in The Oxford Handbook of Quantitative Asset Management

Published in print December 2011 | ISBN: 9780199553433
Published online November 2012 | | DOI:

Series: Oxford Handbooks in Finance

 Recent Advances In Portfolio Optimization

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  • Economics
  • Financial Markets
  • Econometric and Statistical Methods and Methodology: General


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This article presents the formulation of the portfolio selection problem, the issue of estimation errors and their impact on mean-variance optimization (MVO), and the use of MVO for portfolio construction. Most economic studies of investor behavior start with a model of investor's preferences typically represented as a utility function of the investor's wealth. After choosing a utility function, we can derive optimal decisions for a rational investor who would try to maximize the expected utility of his or her decisions. Markowitz' theory of mean-variance optimization reduces the problem of portfolio selection into a trade-off between the mean return of the portfolio and its variance. The MVO formulation is consistent with non-quadratic utility maximization only when the returns can be assumed to follow a multi-dimensional elliptical distribution. MVO and its multitude of variations can be viewed as mathematical approximations of the true expected utility maximization problem rather than simplistic trade-offs on two portfolio characteristics that are disconnected from rational investor behavior. The alternative formulations involve the replacement of the variance of the portfolio return with a different measure of risk in the statement of the trade-off function used in optimization. Optimizing portfolios using an objective function that combines expected return with mean absolute deviation are relatively simple as they can be expressed in terms of a linear optimization problem.

Keywords: portfolio optimization; mean-variance optimization; mean return of the portfolio; utility maximization; portfolio selection

Article.  11095 words. 

Subjects: Economics ; Financial Markets ; Econometric and Statistical Methods and Methodology: General

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