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Portfolio Management and the Shrinking Knapsack Algorithm
Published online by Cambridge University Press: 06 April 2009
Extract
Since the formulation of the portfolio selection problem by Markowitz [12] as a parametric quadratic programming problem, considerable effort has been devoted to obtaining operational portfolio management models. Research has involved: (1) characterizing the return generating process in terms of index models; (2) specifying special-purpose algorithms such as the critical-line method of Markowitz [13] or the solution procedure of Jucker and de Faro [11]; (3) using linear programming formulations to approximate solutions to the nonlinear programming problems such as Sharpe [20, 22] and Stone [25]; and (4) converting portfolio selection models into portfolio management models designed to revise an existing protfolio subject to transaction costs using heuristics such as Smith [24] or revision formulations such as Pogue [16, 17] and Stone and Reback [27].
- Type
- Research Article
- Information
- Journal of Financial and Quantitative Analysis , Volume 14 , Issue 5 , December 1979 , pp. 1071 - 1083
- Copyright
- Copyright © School of Business Administration, University of Washington 1979
References
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