Robust Asset Allocation

@article{Ttnc2004RobustAA,
  title={Robust Asset Allocation},
  author={Reha H. T{\"u}t{\"u}nc{\"u} and Matthias Koenig},
  journal={Annals of Operations Research},
  year={2004},
  volume={132},
  pages={157-187}
}
This article addresses the problem of finding an optimal allocation of funds among different asset classes in a robust manner when the estimates of the structure of returns are unreliable. Instead of point estimates used in classical mean-variance optimization, moments of returns are described using uncertainty sets that contain all, or most, of their possible realizations. The approach presented here takes a conservative viewpoint and identifies asset mixes that have the best worst-case… 

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References

SHOWING 1-10 OF 37 REFERENCES

Robust Portfolio Selection Problems

This paper introduces "uncertainty structures" for the market parameters and shows that the robust portfolio selection problems corresponding to these uncertainty structures can be reformulated as second-order cone programs and, therefore, the computational effort required to solve them is comparable to that required for solving convex quadratic programs.

Portfolio Optimization in Practice

These results suggest that, over the time period studied, international diversification into foreign bonds has offered some benefits. These benefits are best measured, however, by comparing the

Robust Mean-Variance Portfolio Selection

It is analytically and numerically shown that, under model misspecification, the use of statistically robust estimates instead of the widely used classical sample mean and covariance is highly beneficial for the stability properties of the mean-variance optimal portfolios.

EQUILIBRIUM IN A CAPITAL ASSET MARKET

This paper investigates the properties of a market for risky assets on the basis of a simple model of general equilibrium of exchange, where individual investors seek to maximize preference functions

On the Sensitivity of Mean-Variance-Efficient Portfolios to Changes in Asset Means: Some Analytical and Computational Results

This paper investigates the sensitivity of mean-variance(MV)-efficient portfolios to changes in the means of individual assets. When only a budget constraint is imposed on the investment problem, the

Portfolio Optimization : The Robust Solution

Investment practitioners who use mean-variance optimization techniques for portfolio construction are often disappointed in the results. As many users of such algorithms swear at them as swear by

The worst-case risk of a portfolio

It is shown how to compute in a numerically efficient way the maximum risk of a portfolio, given uncertainty in the means and covariances of asset returns, which is more accurate and much faster than Monte Carlo methods.

Estimation for Markowitz Efficient Portfolios

Abstract Given a set of N assets a portfolio is determined by a set of weights xi, i = 1, 2, …, N; Σ N i=1 xi = 1 indicating the proportion of the value of the portfolio devoted to each asset. A