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l1-Regularization for multi-period portfolio selection

delete2019-07-16
delete11
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S
Stefania Corsaro
V
Valentina De Simone
M
Marino, Zelda
F
Francesca Perla *
DOI:10.1007/s10479-019-03308-wdelete
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Abstract

Abstract

En 中文
In this work we present a model for the solution of the multi-period portfolio selection problem. The model is based on a time consistent dynamic risk measure. We apply l1-regularization to stabilize the solution process and to obtain sparse solutions, which allow one to reduce holding costs. The core problem is a nonsmooth optimization one, with equality constraints. We present an iterative procedure based on a modified Bregman iteration, that adaptively sets the value of the regularization parameter in order to produce solutions with desired financial properties. We validate the approach showing results of tests performed on real data.
Keywords:
Portfolio optimization
Time consistency
l(1) norm
Constrained optimization
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Journal

Annals of Operations Research cover
Annals of Operations Research
IF:
4.5
Papers:
8.0K
Citations:
2.1W

Organization

P
Parthenope University Naples
Scholars:
2.5K
Papers: 2.9K
Citations: 10
U
universita della campania vanvitelli
Scholars:
1.8W
Papers: 1.3W
Citations: 13