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VaR optimal portfolio with transaction costs
Authors:Nataša Kreji?  Miles Kumaresan
Institution:a Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovi?a 4, 21000 Novi Sad, Serbia
b Algonetix LLP, Berkeley Square House, Berkeley Square, London W1J 6BD, United Kingdom
c Faculty of Civil Engineering, University of Novi Sad, Kozara?ka 2a, 24000 Subotica, Serbia
Abstract:We consider the problem of portfolio optimization under VaR risk measure taking into account transaction costs. Fixed costs as well as impact costs as a nonlinear function of trading activity are incorporated in the optimal portfolio model. Thus the obtained model is a nonlinear optimization problem with nonsmooth objective function. The model is solved by an iterative method based on a smoothing VaR technique. We prove the convergence of the considered iterative procedure and demonstrate the nontrivial influence of transaction costs on the optimal portfolio weights.
Keywords:Portfolio optimization  VaR  Transaction costs  Market impact  Smoothing methods  SVaR
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