Sensitivity analysis for mean-variance portfolio problems
Management Science
An O(n2) active set method for solving a certain parametric quadratic program
Journal of Optimization Theory and Applications
Quadratic programming with transaction costs
Computers and Operations Research
Large scale portfolio optimization with piecewise linear transaction costs
Optimization Methods & Software
Low order-value approach for solving VaR-constrained optimization problems
Journal of Global Optimization
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This paper deals with the portfolio selection problem of risky assets with a diagonal covariance matrix, upper bounds on all assets and transactions costs. An algorithm for its solution is formulated which terminates in a number of iterations that is at most three times the number of assets. The efficient portfolios, under appropriate assumptions, are shown to have the following structure. As the risk tolerance parameter increases, an asset's holdings increases to its target, then stays there for a while, then increases to its upper bound, reaches it and stays there. Then the holdings of the asset with the next highest expected return proceeds in a similar way and so on.